Adele

Adele

DESIGN
PAPER 1 (THEORY)
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

INSTRUCTIONS AND INFORMATION 

  1. This question paper consists of SIX questions. 
  2. There are three choice questions in this question paper. Read the options  carefully. 
  3. This question paper consists of THREE sections:
    SECTION A: Design literacy (30 marks)  
                         QUESTIONS 1 to 3 
    SECTION B: Design history (30 marks) 
                         QUESTION 4 
    SECTION C: Design in a sociocultural/environmental and sustainable  context (40 marks) 
                         QUESTIONS 5 and 6
  4. Read the requirements of each question carefully.
  5. Answer in full sentences and avoid the listing of facts. Do NOT answer in  tabular form.
  6. Use the mark allocation to determine the time to be spent on each question.
  7. Do NOT repeat the same facts and examples in different questions. 
  8. Write neatly and legibly

QUESTIONS

SECTION A: DESIGN LITERACY 
QUESTION 1: 'UNSEEN' EXAMPLES 
Answer EITHER QUESTION 1.1 OR QUESTION 1.2. 

1.1

FIGURE A: The Daddy Cool Bling Bar by Studio Botes  
 (South Africa), 2013. 
Analyse the use of the following element and principles in FIGURE A above: 

  • Balance  
  • Focal point 
  • Rhythm 
  • Contrast 
  • Shape (5 x 2) [10]

OR

1.2

FIGURE B: Eclectic and recycled range of furniture designs 
by Reform Studio (Egypt, Africa), 2015. 

With the belief that design can solve problems, we developed textile threads  from reused plastic bags, which now form the basis of its designs. 

[Reform Studio]

Explain the use of the following design terms in FIGURE B above: 

  • Eclectic 
  • Truth to materials 
  • Minimalism 
  • Form follows function 
  • Upcycle (5 x 2)

[10]

QUESTION 2: COMMUNICATION THROUGH DESIGN 


FIGURE C: Because I am a girl campaign poster 
by Plan International (Canada), 2015. 
2.1 Briefly discuss the message conveyed by the poster in FIGURE C above.
Refer to the following in your discussion: 

  • Use of colour (2) 
  • The use of imagery in the poster (3) 
  • The font in the slogan of the campaign (Because I am a girl) (3) 

2.2 Discuss how the poster in FIGURE C above clearly reflects stereotyping. (2)

[10]

QUESTION 3 
Answer EITHER QUESTION 3.1 OR QUESTION 3.2. 
3.1 Refer to FIGURE D and FIGURE E below and answer the questions  that follow. 

   
FIGURE E: Pouffe Dress by  Emmanuel Nunez (South Africa), 2015.  FIGURE D: Dress by Issey Miyake (Japan), 2013.

Write an essay of at least 200–250 words (one page) in which you compare FIGURE D with FIGURE E. 
Refer to the following: 

  • Inspiration/Influences 
  • Form  
  • Pattern 
  • Colour 
  • Avant-garde (5 x 2) [10]

OR

3.2


.  


 FIGURE F: Basilica of St Paul's outside the Walls (Rome), 
4th century AD
 Interior of Basilica of St Paul's outside the Walls (Rome),
4th century AD.  
FIGURE G: Notre Dame du Haut by Le Corbusier (France),1955.  Interior of Notre Dame du Haut by Le Corbusier (France),1955. 

Write an essay of at least 200–250 words (one page) in which you compare  the ancient classical basilica in FIGURE F with the contemporary church in  FIGURE G above. Alternatively you may compare any Classical building (that  you have studied) with any contemporary building. 
Refer to the following in your essay: 

  • Function 
  • Structure 
  • Use of light 
  • Building materials 
  • Decoration (5 x 2)

[10]
TOTAL SECTION A: 30

SECTION B: DESIGN HISTORY 
QUESTION 4 

4.1

Choose any TWO movements in the list below and write an essay of at least  400–450 words (two pages) in which you debate whether their designs reflect  the above quote. Support your answer by referring to the aims and stylistic  characteristics of your chosen movements. Refer to at least ONE designer  from each movement and discuss at least ONE design by each designer  to support your statements. 

  • Arts and Crafts 
  • Rococo 
  • Scandinavian Design 
  • Ancient Greek  
  • Art Nouveau 
  • Modernism 
  • Renaissance 
  • Deconstruction 
  • Ancient Roman

(20)

4.2

   
FIGURE H: Worcester Porcelain  Teapot inspired by Piet Mondrian, 
De Stijl (England), 1944. 
FIGURE I: Porcelain tea set by Clarice Cliff, Art Deco (England), 
circa 1930.  

Write a comparative essay of 200–250 words (one page) in which you discuss  whether the above two designs reflect the mood of the design movements  they represent.  

Refer to the following to support your answer: 

  • Inspiration 
  • Aims 
  • Line 
  • Shape  
  • Decoration (5 x 2)

(10)
TOTAL SECTION B: 30

SECTION C: DESIGN IN A SOCIOCULTURAL/ENVIRONMENTAL AND  SUSTAINABLE CONTEXT 
QUESTION 5 
Answer EITHER QUESTION 5.1 OR QUESTION 5.2. 
5.1

FIGURE J: Anti-tobacco poster by the World Health Organisation 
(Canada), 2012. 
5.1.1 Explain how the message in the poster above is communicated  by using the following: 

  • Imagery 
  • Design layout 
  • Use of font (3 x 2) (6) 

5.1.2 Write an essay of at least 300–350 words (one and a half pages)  in which you name and discuss the work of ONE South African  contemporary designer/design group AND ONE international  contemporary designer/design group who address sociocultural  issues in their work. 
Refer to the following in your discussion: 

  • Aims that relate to the concept of sociocultural design 
  • Methods and processes 
  • A discussion of ONE example that reflects social responsibility 

You may NOT refer to any designer(s)/design group(s) that you  have discussed previously or design examples used in this  question paper. (14)

[20] 

OR
5.2
5.2.1 Write an essay of at least 200–250 words (one page) for a tourist  brochure about a traditional craft practised in South Africa.  
Refer to the following in your essay: 

  • The traditional history of the craft 
  • The value of practising this craft 
  • Functions 
  • Materials, methods and processes 
  • A description of ONE example, as well as the name(s) of the  indigenous cultural community or craftsperson that produced it (10) 

5.2.2 Write an essay of approximately 200–250 words (one page) on any  ONE South African contemporary designer/design group, who uses  traditional craft techniques/materials in a modern way and, at the  same time, empower individuals or communities. 
Use the following structure when answering the question: 

  • Name of designer/group and his/her/their design product(s) 
  • A detailed description of how traditional techniques/methods  and material have been applied to contemporary design. Refer  to specific examples to support your statements. 
  • Discuss the sociocultural contribution of the design(s) 

You may NOT refer to any designer/design group that you  discussed previously or design examples that appear in this  question paper. (10)

[20]

QUESTION 6 
6.1
scarf
FIGURE K: Neck piece by Mariana Acosta (Mexico), 
Precious Waste contemporary jewellery collection, 2015. 

Precious Waste uses materials such as PET bottles, discarded CDs, egg  cartons, old books, scrap metals, tetra packs, VHS videotapes and paper  tubing to transform them into valuable design accessories.

6.1.1 Discuss TWO characteristics of sustainable design. (2) 
6.1.2  Identify and discuss TWO materials that you can use as a  sustainable designer. Explain the sustainability of these materials in your discussion. (4) 

6.2 Write an essay of at least 300–350 words (one and a half pages) in which you  discuss the work of ONE South African contemporary designer/design  agency/studio and ONE international contemporary designer/design agency/  studio whose work explores sustainable sources/materials and transforms  them into significant design products.  
Refer to the following in your discussion: 

  • Name of the designer/design group and his/her/their design product(s) 
  • A discussion of ONE example 
  • Transformation of its sustainable material  
  • Its impact on the environment  

You may NOT refer to any designer/design company that you have discussed  previously or design examples referred to in this question paper. (14)

[20] 
TOTAL SECTION C: 40 
GRAND TOTAL:  100

DESIGN
PAPER 1 (THEORY)
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

MEMORANDUM

SECTION A: DESIGN LITERACY 
'UNSEEN' EXAMPLES 
ANSWER EITHER QUESTION 1.1 OR QUESTION 1.2. 
QUESTION 1 [10 Marks] 
1.1 (Allocate a maximum of two marks per element and principle) 

  • BALANCE 
    The images are arranged in a bilateral symmetrical balanced manner to  create a sense of order and calmness. ? The clustering of the images in  a circular form around a large central motif shows off radial balance. ? 
  • FOCAL POINT 
    The DC circular pendant on a chain is the predominant focal point as it is  placed right in the centre. ? It is clearly the biggest image in the  illustration. ? The two points of the heart also direct the eye to the DC  pendant. ? 
  • RHYTHM 
    The repeated images, for example hats, sneakers, cellphones and rings  make your eyes wander in a vertical, horizontal and circular movement.  ? The repeat of many circular images, for example the rings and the  central pendant and the flower image also contribute to creating a circular  rhythm. ? 
  • CONTRAST 
    The plain, flat background contrasts starkly with the numerous images  and with the fine detail on many of them. It creates a lively, almost  shimmering surface. ? Small motifs such as the little shiny stars contrast  with larger motifs like the hat and the money bag also activating the  surface. ? This shimmery feel communicates opulence and wealth. ? 
  • SHAPE 
    The images are all flat and simplified to create a clear and clean  composition that reads easily. ? The money bag, hat, sneaker and bottle  are organic shapes that convey movement whilst the cellphone, diamond  and other gems are geometric, stabilising this movement. ? 

Credit must be given to any other valid statements.

Q.1.1  
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS

MARKS (10)

Lower Order

Remember, Recall, Recognise 

30%

1.1 

2

Understand, Explain, Describe 

1.1 

1

Middle Order 

Apply, Implement, Organise 

40% 

1.1 

4

Higher Order

Analyse, Interpret

30%

1.1 

1

Reflect, Judge 

1.1 

1

Synthesis 

1.1 

1

OR 

1.2 [Allocate a maximum of 2 marks per design term for a total of 10 marks] 

  • ECLECTIC 
    The term eclectic means to borrow from a variety of design styles/periods,  to form a new, unique design. ? The simple rectangular form of the bench  makes reference to the Bauhaus and Modernist ideals of Minimalism and  'Less is More'. ? Another possible reference is to Scandinavian Design's  emphasis on functionality, clean lines, light materials and bright colours  and their use of sustainable materials. ? The Postmodernist belief in  environmentally sound designs is also visible in this product's use of  woven recycled plastic. ? 
  • TRUTH TO MATERIALS
     
    In keeping with the philosophy of 'truth to materials' the wood of the bench  is kept unpainted to reflect the beauty of its natural state. ? The colour and  grain of the wood is left visible linking the bench to nature. ? 
  • MINIMALISM 
    The meaning of the term Minimalism implies “Less is More” i.e. the  designer has used the 'bare necessities' ? to create a clean and  streamlined form. ?
  • FORM FOLLOWS FUNCTION
    The simple form of the design emphasises its function. ? All emphasis is  placed on functionality and decoration is economically applied to  emphasise the simple geometric form. ? 
  • UPCYCLED 
    The fibres of the textile section of the bench are formed from recycled  plastic bags. ? The plastic bags have been upcycled to achieve a new  purpose, i.e. becoming upholstery. ? 

Credit must be given to any other valid statements. 

Q.1.2  
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS

MARKS  (10)

Lower Order

Remember, Recall, Recognise 

30%

1.2 

1

Understand, Explain, Describe, Classify 

1.2 

2

Middle Order 

Apply, Implement, Organise 

40% 

1.2 

4

Higher Order

Analyse, Interpret

30%

1.2 

1

Reflect, Judge 

1.2 

1

Synthesis, Justify 

1.2 

1

COMMUNICATION THROUGH DESIGN 
QUESTION 2 [10 marks] 
2.1 (Allocate 8 marks) 

(Allocate 2 marks) 

  • Use of colour 
    This message seems to be set within an African context because of the  sub-Saharan background which is brown, dry with very little greenery. ? The use of the colour black symbolises the doom, dread, emptiness and  sadness of poverty. ? The contrast of the black image of the girl in the  left image in comparison to the brightly coloured figure of the girl in the  image on the right could possibly symbolise the difference in a future with  an education versus one without an education. ? 
    (Allocate 3 marks)
  • The use of imagery in the poster
    The message of the poster conveys the importance of educating little  girls as equally important as educating little boys. ? This is  communicated through the image of the little girl in the foreground and  the image of the little boy in the background on both posters. ? Often  male children are given an opportunity to get an education as they are  traditionally viewed as future breadwinners. ? The girl child, on the other hand, is viewed as a future mother and wife with little importance and  therefore there is no need for education. ? The little barefooted girl in the  image on the left conveys poverty. ? 
    (Allocate 3 marks) 
  • The font in the slogan of the campaign (Because I am a girl) 
    The “I” in the slogan is elongated/stretched ? which could communicate  that by empowering the girls with education you are giving them the  power to reach for the sky. ? In attaining dreams and allowing them to  have a bright future. ? The font is slightly childlike to show her  vulnerability. ? The size and colour of the word 'girl' is highlighted to  emphasise the importance of educating girls. ? The pink red colour of  the font also stereotypes against girls. ?
    (Allocate 2 marks) 

2.2 This poster in FIGURE C assumes that all men have access to education ? and that all rural black girls are disadvantaged and destined to fall pregnant,  without getting an education. ? The poster stereotypes against black girls as  there are girls from other race groups that are also affected by poverty. ? 
Credit must be given to any other valid statements.

Q.2  
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS

MARKS  (10)

Lower Order

Remember, Recall, Recognise, Name 

30% 

2.1 

2

Understand, Explain, Describe, Classify 

2.1 

1

Middle Order 

Apply, Implement, Organise 

40% 

2.1 

2.2

1

Higher Order

Analyse, Compare, Interpret

30%

2.1 

2

Evaluate, Reflect, Judge 

2.2 

1

QUESTION 3 [10 marks] 
ANSWER EITHER QUESTION 3.1 OR QUESTION 3.2. 
(OPTION 1) 
3.1 [10 marks] 

The dress in FIGURE D could be inspired by the flowing attire of Arabian  women. ? The use of boots and strong bands of black in the pattern evokes  associations with uniforms/armour of soldiers as well as with the 'Sub Saharan emo' subculture (use of a lot of black in the clothing with black  boots). ? FIGURE E is an eclectic design influenced by many styles and  movements, for example, the linear texture on the surface of FIGURE E is  reminiscent of Indonesian batik cloth, while the strong diamond and triangular  patterns are Xhosa Shweshwe in style. ? The short, puffy skirt is funky,  girlish and contemporary in inspiration. ? The pattern on FIGURE D is  modern and could be inspired by machine-age movements such as the  Bauhaus and De Stijl as it consists of straight lines and geometric, block-like  shapes. ?  
FIGURE D's forms are large and sweeping, consisting of a heavy, flowing  and loose skirt form and a block-like top whereas FIGURE E's forms are  small and crisp. ? The top of FIGURE E is tight fitting, contrasting with the  skirt that is short and puffy expressing a girlish youthfulness. ? The large,  sweeping forms of FIGURE D, in comparison evoke images of traditional  ethnical tribal wear. ? 
The repetition of thin, straight horizontals and thick horizontal and vertical  bands of black create a striking plaid-like pattern. ? The pattern on  FIGURE E, on the other hand is more organic and African in style due to the  repeated tie-dye or batik texture and the repetitive small triangles and  diamonds. ? 
The heavy black bands and strong red primary colour of FIGURE D creates  a dramatic, eye-catching design. ? FIGURE E also consists of a dominant  red but this red is deeper and more subdued. ? The contrasts of yellow and  white triangles form areas of light contrasts creating a more active surface  than that of FIGURE D. ? The contrast between the red and black creates a  dynamic colour aesthetic. ?
Both dresses can be considered avant-garde. FIGURE D fuses a traditional  dress form with modern machine-age pattern and combines this with  industrial-like black boots to create an almost futurist image. ? FIGURE E uses a traditional African print to create a funky modern dress. ? The  combination of a western felt hat on top of an African headscarf, as well as  the inclusion of high heels and an ethnic style necklace, accentuates the  eclecticism of the design. ? 
Credit must be given to any other valid statements. 
NOTE: A maximum of ONLY 3 marks may be allocated for tabular  comparison responses. Use the cognitive level grid as a guideline for  your marking 

Q.3.1 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS  (10)

Lower Order

Remember, Recall, Recognise 

30%

3.1 

1

Understand, Explain, Describe 

3.1 

2

Middle Order 

Apply, Implement, Organise 

40% 

3.1 

4

Higher Order

Analyse, Compare, Interpret

30%

3.1 

1

Evaluate, Reflect 

3.1 

1

Create, Synthesise 

3.1 

1

OR

(OPTION 2) 
3.2 [10 marks] 

The Notre Dame du Haut functions as a contemporary place of worship  dedicated to the Virgin Mary. ? The Basilica of St Paul is also a place of  worship in honour of St Paul whose tomb was placed directly under the altar. It is a Roman basilica, the first model built for a Christian church. ? 
Typical of the Roman Basilica the Basilica of St Paul's main structure is a  simple rectangle with three aisles, with the main one in the centre (the nave)  built higher than the sides and including windows (a clerestory) above the  side aisles. ? The repeated vertical columns and a horizontal entablature  create a very stable structure, typical of classical architecture. ? The  structure of the Notre Dame du Haut, on the other hand, is very irregular,  sculptural and organic reminiscent of heavy rock formations. ? The semi circular apse at the top end of the basilica softens the general rectilinearity. ? The Notre Dame du Haut, on the other hand, consists of many curved edges  balanced by a few verticals. ? The roof of the Notre Dame du Haut reminds  one of a slab of rock and appears to be floating from the inside. A space of  several centimetres between the roof and the walls allowing daylight to enter  enhances this floating feeling. ? 
The Basilica of St Paul acquires its soft, glowing light from the row of  windows in the clerestory, ? whereas the Notre Dame du Haut achieves light  from rectangular openings deeply set in the thick walls creating a spiritual and  meditative atmosphere inside the building. ? The Basilica's light is gold in  colour, glorifying God's Kingdom whereas the light in the Notre Dame is white,  glorifying God's purity. ?
The Basilica is constructed from traditional natural building materials such  as marble, alabaster and granite, whereas the Notre Dame du Haut is  constructed from both white stone and rugged concrete. ? The stone that  dominates the Basilica gives it a solid, strong feeling. ? The concrete and  stone of the Notre Dame du Haut also exudes solidity and earthiness. ? The  floor of the chapel follows the natural slope of the hill down towards the altar.  Certain parts, in particular those upon which the interior and exterior altars  rest, are of beautiful white stone from Bourgogne, as are the altars  themselves. The towers are constructed of stone masonry and are capped by  cement domes. ? 
Many surfaces of the Basilica are highly decorated with golden and coloured glass mosaics illustrating religious imagery such as the Apocalypse of John,  with the bust of Christ in the middle flanked by the 24 doctors of the church,  surmounted by the flying symbols of the four Evangelists. ? This decoration  is very sensual and expressive. ? The wall surfaces of the Notre Dame du  Haut in contrast, are unadorned and painted white, reflecting simplicity and  purity. ? The roof is also a neutral black contributing to this general mood of  seriousness. ? The surfaces of the Basilica are smooth whereas the interior  and the exterior of the chapel are surfaced with mortar sprayed on with a  cement gun and then white-washed giving them an organic feel. ? 
Credit must be given to any other valid statements or a comparison of a  classical and contemporary building that the candidate has studied. 
NOTE: A maximum of ONLY 3 marks may be allocated to tabular  comparison responses. Use the cognitive level grid as a guideline for  your marking. 

Q.3.2 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS  (10)

Lower Order

Remember, Recall, Recognise 

30%

3.2 

1

Understand, Explain, Describe, Classify 

3.2 

2

Middle Order 

Apply, Implement, Organise 

40% 

3.2 

4

Higher Order

Analyse, Compare, Interpret

30%

3.2 

1

Evaluate, Reflect 

3.2 

1

Create, Synthesise, Justify 

3.2 

1

TOTAL SECTION A: 30 

SECTION B: DESIGN HISTORY 
QUESTION 4 [30 marks] 

4.1 Allocate 20 marks in total) 
(Allocate 10 marks for each movement. Please note that only one mark  can be allocated for the name of a designer and product for each  movement. Please use the cognitive level grid as a guideline for your  marking.) 
This memo supplies an answer for the following two possibilities: 
ARTS AND CRAFTS AND DECONSTRUCTIVISM 

Arts and Crafts 
The above quote is by William Morris one of the founders of the Arts and  Crafts movement. The Arts and Crafts movement aimed to place an  emphasis on the natural unity between form, function and decoration, ? keeping their designs simple, elegant and functional. ? They aimed to turn  around the poor taste and inferior quality of mass-produced goods, which  were over-designed and full of unnecessary detail. ? The movement aimed to  condemn the capitalist industrial production that was based on making  money. ? A number of artists and craftspeople were involved and it marked  the beginning of time where an importance was attached to the design of  everyday objects. ? During the Victorian era many factory produced designs  were designed by the machine operators or by the factory owners. ? Their  designs were of poor taste and full of unnecessary detail. As the above quote  states; Morris developed the view that design should aim to be both beautiful  and functional. A focus on quality and craftsmanship and the use of the  natural materials characterised the Art and Craft designs as honest, meaning  that you can see the joints and manufacturing marks instead of hiding or  covering them with decorative elements. ? Designs were kept simple, elegant  and functional and stained glass, wood, textiles and natural brick were  popular materials. ? 
All paper, inks and textile designs were produced by hand, using organic  materials. This is a key characteristic of Arts and Crafts design and the result  is complete control of the quality and production of design. ? The Arts and  Crafts style characteristics harked back to medieval architecture and  tapestries, illuminated manuscripts and rustic styles of decoration and  furniture. ? Their subject matter was drawn from the plants, animals and the  birds of nature, particularly in wall paper and textile design. ?
William Morris began printing on calico when he purchased the Merton abbey  works in 1881. True to the aims and characteristics of the movement Morris  aimed to produce an item that was beautiful, hand crafted and made in such a  way that it would benefit the workers. ? Fabrics were dyed using only the  highest quality, natural dyes based on herbal recipes. ? The printed textile  from Morris and Co. 1884 produced in Merton Abbey was dyed using the  indigo discharge method. The method involves first dying the calico an indigo  blue shade and then removing the areas where the design appears with  bleach. Finally the fabric is dyed again using red and yellow resulting in a  deep palette of reds, oranges, purples, greens and blues. ? The textile  design is based on natural motifs (flowers, vines and leaves). A sense of  perspective is achieved by overlapping the flowers and stems. Texture was  achieved through patterning. Gentle wavy lines and regularly curving patterns  of leaves and flowers along with stylised scroll leaf pattern create an  aesthetically appealing design. ? This example is both useful and beautiful. 

Deconstructivism 
Contradictory to the above statement instead of focusing on the function and  the construction and aesthetics of designs, Deconstructivist designers  focused on exploring the relationship between the different parts of a design.  ? The resulting style resembles designs that are irregular and literally  fragmented. ? 'Unnecessary' lines and forms are created for the sake of  creating new and original structures. ? 
The aims of Deconstructivism are based on the writings of French  philosopher Jacques Derrida. Derrida explores uncertainties and opposites  that are in a state of instability and the unseen relationships between all  things rather than the function and usefulness of parts. ? Their designs  aimed to pull things apart in order to investigate the relationship between the  parts. ? Deconstructivism aims to question structures and forms that have  existed and been accepted over the ages. ? These basic norms are  subverted and disturbed. Lines and shapes become fluid and often defy  gravity or visual stability. ? 
Frank Gehry is a Deconstructivist architect who uses highly unconventional  materials in unusual ways. Gehry has broken new ground in architectural  design by exploring the stylistic characteristics of Deconstructivism in the  way he manipulates shape and texture. ? The Guggenheim Art Museum in  Bilbao Spain, is an iconic example of Deconstructivism. ? Its function/'use' as  an art museum is subsidiary and the fact that it does not conform to normal  building specifications contradicts the latter part of the above statement. Its  lack of conformity allows the building to be considered ugly therefore not  believed to be beautiful; it disregards the norms of a Classical Western art  museum. ? The unconventional exterior of the building is clad in half  millimetre thick titanium panels that reflect light at all times of the day and  night interspersed by limestone and glass, providing transparency and a  neutral colour. The titanium does not oxidise but is a most unusual and  controversial cladding material for buildings. ? These materials are chosen  for their unconventional characteristics rather than for their 'beauty' or  'usefulness'. ?
The Guggenheim Art museum designed in the Deconstructivist style  characteristically has no conventional straight line and right-angled corner in  the design creating an unstable composition. ? These lines and forms are not  essential to the function of the building but are used for the sake of exploring  a new architectural style based on the relationship between opposites. ? In  conclusion the Deconstructivist movement is the antithesis of the above  quote. ? 
Credit must be given to any other valid statements. 

Q.4.1 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS  (20)

Lower Order

Remember, Recall, Recognise, Name 

30%

4.1 

2

Understand, Explain, Describe, Classify 

4.1 

4

Middle Order 

Apply, Implement, Organise 

40% 

4.1 

8

Higher Order

Analyse, Compare, Interpret

30%

4.1 

2

Evaluate, Reflect 

4.1 

1

Create, Synthesise, Justify 

4.1 

3

4.2 [10 marks] 
inspiration                              
Inspiration 
De Stijl was founded by a group of Dutch designers who were inspired by the  Dutch tradition of logic, severity and clarity. ? Art Deco was inspired by a  societal fascination with ancient exotic societies such as Ancient Egypt, Aztec  Civilizations and Africa. ?  

Aims  
Both Art Deco and De Stijl design movements occur between the two World Wars. In  a desperate attempt to escape the horrors of a war torn society, the Art Deco  movement aimed to create an alternative reality of exoticism, glamour, elegance and  luxury. ? The De Stijl movement, on the other hand, did not attempt to escape reality  but attempted to find the essence of reality through geometric abstraction. ? They  aimed to restore order after the chaos of the World War by exploring abstraction and  reducing the design elements to a universal language that focused on geometry. ?
During the Art Deco age, machinery was used extensively to create new products  which, like the tea set of Clarice Cliff, aimed to meet the day to day needs of city  dwellers. ? The culture of the industrial revolution had increased urban population  which meant there was a demand for machine-made goods and entertainment at  affordable prices and a need to escape 'everyday life'. ?  

Line 
The De Stijl tea pot's use of vertical and horizontal line is typical of the  movement's rigidity. ? They moved away from tradition and used geometric  bold lines creating a simple, clean effect. ? The line of the Art Deco tea pot is  more varied and expressive with the use of wavy and straight lines creating a  more organic feel. ? 

Shape 
Characteristic of Art Deco is the tea pot's use of simple modernist shapes.  The edges are clean, straight and zigzagged edges creating dynamic,  streamlined shapes. ? On the other hand the De Stijl movement established  the use of pure, geometric shapes. ? This characteristic is evident in the De  Stijl tea pot which displays stark right angled shapes. ? 

Decoration 
De Stijl's decoration is abstract, evolving from their focus on geometry and  mathematics. ? Instead of traditional decoration as still evident in the Art  Deco tea set, it broke with all design and art conventions. ? The “De Stijl tea  pot” shows the simplification of decoration into 'basic' building blocks of visual  expression, geometric forms, vertical and horizontal lines and only the three  primary colours, black and white. ? De Stijl rejected all reference to tradition  and external reality and looked to architecture and urban planning for  decoration. ? Contrary to this, the Art Deco tea pot shows recognisable  subject matter such as the sun, mountains and a flower, but typical of the  movement, these images are stylised, decorative and two-dimensional. ? 
Credit must be given to any other valid statements. 
NOTE: A maximum of ONLY 3 marks may be allocated for tabular  comparison responses. Use the cognitive level grid as a guideline for  your marking.

Q.4.2 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS  (10)

Lower Order

Remember, Recall, Recognise, Name 

30%

4.2 

1

Understand, Explain, Describe, Classify 

4.2 

2

Middle Order 

Apply, Implement, Organise 

40% 

4.2 

4

Higher Order

Analyse, Compare, Interpret

30%

4.2 

1

Evaluate, Reflect, Judge 

4.2 

1

Create, Synthesise, Justify 

4.2 

1

TOTAL SECTION B: 30

SECTION C: SOCIO-CULTURAL/ENVIRONMENTAL AND SUSTAINABLE CONTEXT QUESTION 5 [20 marks] 
ANSWER EITHER QUESTION 5.1 OR QUESTION 5.2. 
(OPTION 1) 
5.1 [20 marks] 
5.1.1 (Allocate 6 marks) 

(Allocate 2 marks) 

  • Imagery  
    • The poster is conveying the message that smoking is bad for  one's health. ?
    • The image of teeth decaying is a very repulsive image  successfully conveying the negative impact on one's health. ?
    • The skin around the teeth looks inflamed contributing to this  anti-tobacco message. ?
      (Allocate 2 marks)
  • Design Layout 
    • The image is placed strategically so that it appears as if a hand  reaching for a cigarette can be bitten. ?
    • This also emphasises  the danger of smoking. ?
    • The image of the cigarette box is  large and dominant making it the focal point, confronting the  viewer. ?
    • The top quarter of the poster consists of a clear  message in a white text block against a dark background also  attracting the eye of the viewer. ?
      (Allocate 2 marks)
  • Use of Font 
    • A simple, sans serif font is used which helps to convey the  message in a clear and direct way. ?
    • The use of capital letters  emphasise the importance of the message conveyed. ?
    • The  white font contrasts with the black background, further  emphasising the importance of the message. ?

Credit any other valid statements.

5.1.2 Allocate 14 marks in total 
(Allocate 7 marks per case study) 
Allocate 1 mark for the name of the designer and the name of  the product.  

ONE CONTEMPORARY SOUTH AFRICAN DESIGNER/DESIGN  GROUP: 
Necklace from felt and beads by Zimele Social Empowerment  craft group ? 
Aims: 

  • Zimele focuses on developing community self-reliance through  crafts. ?
  • Zimele is a non-profit organisation based in Pietermaritzburg that  was founded in 2007 by Rosetta Stander. Determined to break the  cycle of 'hand-out dependency' and basing her model on highly  successful schemes in India, she created Zimele, meaning “people  stand on their own feet” in Zulu. ?
  • Zimele is a non-profit  organisation that acts as a facilitator, not just feeding people for a  day but leading them towards belief in their personal ability to work  their way out of poverty. ?
  • Zimele's aim is to focus on the  individual's journey to self-worth, self-realisation, and finally  sustainable self-sufficiency. People are therefore able to contribute  fully according to their individual strengths on a community level for  the ultimate benefit of both the individual and the wider community.  ? 

Methods and processes: 
Zimele is currently implementing its programmes in all 11 districts  of KwaZulu-Natal with approximately 3500 women actively involved with Zimele. ? 
The Zimele model works to: 

  • empower women by unlocking skills, resources, support  systems and networks, and 
  • create new opportunities such as local and international  markets and links to government programmes ? 

Zimele pursues this vision through providing women with the  knowledge, skills, resources and support networks to sustain  themselves and their families. ?
Women are traditionally excellent  crafters within Zulu society and many rural women have existing  craft skills. ?
Through Zimele they are trained to make high quality items, using  their incredible talents. They work with fabric, felt and beads to  make a range of stationery, bags, decorations, home ware and  jewellery. ? The range includes bags, décor, homeware and  jewellery made from felt, beadwork and fabric. ? 
The training and materials are free of charge, although the women  are expected to purchase the tools/equipment needed such as  needles, scissors and pliers. ? Once the products are of a good  standard, the women purchase the raw materials and Zimele pays  for the items that they make on order. ? 
A discussion of ONE example that reflects social  responsibility 
The Necklace made from felt and beads consists of differently  sized, colourful circular discs ? hanging from different strands of  string/twine to create a playful and fun necklace. ? 

ONE INTERNATIONAL DESIGNER/DESIGN GROUP
Makoko floating school designed and built by NLE in  collaboration with the Makoko Waterfront Community, in Lagos  State. ? 
Nigerian architect Kunlé Adeyemi, ? the founder and principal of  NLÉ Works, in collaboration with the Makoko Waterfront  Community, conceived, designed and built the floating school, in  Lagos State. The project was initially self-funded by NLE and later  received research funds from Heinrich Boll Stiftung as well as  funds for its construction from the UNDP/Federal Ministry of  Environment Africa Adaptation Programme (AAP). 

Aims: 
Makoko Floating School is a 'prototype' building structure for NLÉ's  proposed 'Lagos Water Communities Project' and its 'African Water  Cities' research project. ? 
Makoko Floating School addresses physical and social needs in  view of the growing challenges of climate change in an urbanising  African context. ? It is a movable 'building' or 'watercraft' currently  located in the aquatic community of Makoko in the lagoon heart of  Africa's second most populous city - Lagos, Nigeria. It is a floating  structure that adapts to the tidal changes and varying water levels,  making it safe from flooding and storm surges. ? It is designed to  use renewable energy, to recycle organic waste and to harvest  rainwater. ?

Methods and processes: 
The simple yet innovative structure adheres to ideal standards of  sustainable development with its inclusive technologies for  renewable energy, waste reduction, water and sewage treatment  as well as the promotion of low-carbon transport. ? Furthermore a  team of eight Makoko-based builders constructed it using eco-friendly, locally sourced bamboo and wood procured from a local  sawmill. ? 

A discussion of ONE example that reflects social  responsibility 
Construction began in September 2012 with floatation mock-ups  and testing. Recycled empty plastic barrels found abundantly in  Lagos were used for the building's buoyancy system, which  consists of 16 wooden modules, each containing16 barrels. ? The  modules were assembled on the water, creating the platform that  provides buoyancy for the building and its users. ? Once this was  assembled, construction of the A-frame followed and was  completed by March 2013. Makoko Floating School is now in  regular use by the community as a social, cultural and economic  centre and will soon welcome its first pupils for use as a primary  school. ? 

Credit any other valid statements. 

Q.5.1 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS  (20)

Lower Order

Remember, Recall, Recognise, Name 

30% 

5.1.1 

2

Understand, Explain, Describe, Classify 

5.1.2 

4

Middle Order 

Apply, Implement, Organise 

40% 

5.1.1 

5.1.2

4

Higher Order

Analyse, Compare, Interpret

30%

5.1.2 

3

Evaluate, Reflect, Judge 

5.1.2 

2

Create, Synthesise, Justify 

5.1.2 

1

OR
5.2 (OPTION 2) [20 marks] 
5.2.1 (Allocate 10 marks: 2 marks per requirement) 
Traditional beadwork
was used as a method of colonial trade. ? It was also a means of expression, ? communication ? and  storytelling. ? In the past, patterns and colours were woven into  beadwork, symbolising feelings and ideas to lovers and friends ?  e.g. Zulu Love Letters. Even though there is an influx of cultures in  the present day, the traditional etiquette of beadwork  communication is upheld by younger generations. ? 
The value of traditional craft for any culture is to reconnect with  ancestors, ? social and cultural practices ? and traditions, ? customs, ? heritage knowledge, ? historical background, ? identity, ? all in a desperate attempt to find out who we are, where  we belong and where we are going. If we ignore our past, we have  no way of finding our tomorrow. ? It is a reality that most South  Africans idolise and adore Western American culture. ? If we do  not value our traditional crafts, the South Africans may end up losing their cultural roots. ? 
The function of most of the bead work is created by women living  in the rural areas of South Africa. ? As human beings, they have  always expressed themselves through personal decoration and  that came as an expression to enhance physical appearance. ?  Apart from enhancing physical appearance, beadwork could  express superior status ? or may possibly possess magical  properties to protect human from illness or hurtful forces. ? 
The materials, methods and processes used by the beaders  show the use of different kinds of materials to take beadwork to  new levels by combining traditional beadwork skill with  contemporary designs. ? To create jewellery and objects that  delights the senses with their richness and colour. ? Seeds,  stones, bits of bone, colourful glass beads and precious  gemstones are used. ? The brightly coloured beads are creatively  strung on cotton thread in diamond-shaped patterns in widths of  three inches all around. ? The glass beads are usually arranged in  blocks of five traditional colours (sky blue, grass green, red, black  and yellow). ? 
beadedd love letter
A description of ONE example – isiZulu love letter 
The beaded love letter is used by Zulu women to communicate  with their men. ? This communication is coded in colours and  geometric shapes of triangular shape and usually a maximum of  seven colours. ? The three corners represent the father, mother  and child. White usually represents spiritual love, purity and  virginity. ? 
Colour Coding refers to the use of various colours to convey  meaning in a code. Colour coding assumes that in a given context  various basic colours have a static meaning, literal or figurative. Regional styles speak largely to the outside. ? 

  • Name(s) of the craftsperson or indigenous cultural community  that produced the craft: Zulu women in Hillcrest AIDS centre. ?
  • Isishunka (seven colours) - white, light blue, dark green, pale  yellow, pink, red and black. 
  • Isithembu (five colours) - light blue, grass green, bright  yellow,red and black.  
  • Umzansi (four colours) – white, dark blue, grass green and red.
  • Isinyolovane – a combination of any colours not consistent with  other schemes. 

Credit any other valid statements. 
5.2.2 (Allocate 10 marks) 
netted art

  • Name of designer/group and his/her/their design  product/s 
    The Egg Chair by Studio Stirling. ? 
  • A detailed description of how traditional  technique/methods and material have been applied to  contemporary design. Refer to specific examples to  support your statements.
    Studio Stirling makes beautiful handmade hanging chairs. ? The 'Egg Chair' makes use of durable steel material ? and is  ideal for outside use. ? The 'Egg Chair' is handmade with  unique individualism. ? The patterns are welded using a  weaving technique to enhance the aesthetic and durable  quality. ? The hanging chairs are the passion of Studio Stirling  and their most popular models are the 'nest egg', 'recliner' and  'basket'. ? 
  • Discuss the socio-cultural contribution of the design/s. 
    The founders of Studio Stirling consider the company as a  program that has been designed to encourage collaboration  between the designers, ? sharing common difficulties and  solutions, mentorship and utilising new manufacturing  processes and materials in a true interchange of skills,  aesthetics and narratives. ? The company's headquarters are  in South Africa, and it has branches worldwide. Studio Stirling  is focused on identifying the specific areas of need of each  company ? and is an immediate and business orientated  initiative, repositioning the design companies in particular East,  West and Southern Africa. ?

Q.5.2 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS (20)

Lower Order

Remember, Recall, Recognise, Name 

30%

5.2.1 

5.2.2

1

Understand, Explain, Describe, Classify 

5.2.1 

5.2.2

1

Middle Order 

Apply, Implement, Organise 

40% 

5.2.1 

5.2.2

4

Higher Order

Analyse, Compare, Interpret

30%

5.2.2 

2

Evaluate, Reflect 

5.2.1 

2

Create, Synthesise, Justify 

5.2.2 

2

QUESTION 6 
6.1 [20 marks] 
6.1.1 (Allocate 2 marks)  
Sustainable designs reduce the consumption of non-renewable  resources ? by the careful selection of materials that are  bio-degradable and recyclable for design works. ? 
Credit any other valid statements. 
6.1.2 (Allocate 4 marks) 

  • Plastics 
    Some plastics are non-renewable, ? they account for the  majority of waste that gets dumped in the rivers, sea, dams and  landfills. Therefore the use of these plastics in design products  helps minimise waste and the negative impact on the  environment. ?  
  • Tyres
    Tyres are a non-renewable resource ? and the majority of  people and the commercial transportation industries discard  their old tyres in landfills. The use of these tyres as materials in  the design of products helps minimise waste and the negative  impact on the environment. ? 
  • Wood 
    Wood is a durable bio-degradable/natural resource; ? the use  of this material in design products has no negative impact on  the environment. ? 
  • Glass  
    Glass is a renewable material that can be melted to design new  design products. ? The abundant wasted glass means that  glass is readily available with our ever growing world population  needs. ? 
  • Paper 
    Used paper can be renewed and re-used in new products. ? The overly abundant unused paper enhances the sustainable  nature of the product. ? 
    Credit any other valid statements.

6.2 Allocate 14 marks in total 
(Allocate 7 marks per case study) 
EXAMPLE OF A SOUTH AFRICAN DESIGNER: 
(Allocate 1 mark to both the name of the designer and name of the  product) 
ONE CONTEMPORARY SOUTH AFRICAN DESIGNER WHOSE WORK  EXPLORES SUSTAINABLE SOURCES/MATERIALS AND TRANSFORMS  THEM INTO SIGNIFICANT DESIGN PRODUCTS. 
design 1              design 2
Erwin van der Weerd – Perfect Places architect ? (Allocate 1 mark) 
Title and brief description of at least one example undertaken by the  designer/design agency or studio (Allocate 3 marks) 
The Hemp House built by Hemporium's Tony Budden and Duncan  Parker, Cape Town South Africa.
The Hemp House is a two bedroom house, ? characteristically sharp-angled,  sleek and minimalistic. ? The house was recently completed in Noordhoek,  Cape Town, uses hempcrete, hemp insulation, ? hemp particle board for  cupboards and wall claddings. ? Hemp carpeting is used for the flooring, ? hemp fabric for the curtains, upholstery, bed linen and lighting. ? Hemp  insulation is used under the floor ? and hemp oil as a protective coat for  timber furniture. ? The hemp aspect of the building, which accounts for up to  50% of the walls, was grown in a few months without the need for agro chemicals, ? and results in a breathable, natural, sustainable and carbon friendly building. ? The windows are gas-filled, ? they prevent heat leaking  out of the closed windows with double action seal. ? The windows are  complimented by an automated opening system attached to thermostats that  regulate internal temperature by opening on the cooler/hotter side of the  house depending on the time of the year. ? The kitchen is designed using a  combination of recycled second-life store tops from Cannata and reclaimed  Oregon pine. ? The bathrooms feature recycled second-life stone tops used  on the bamboo vanities, imperviousness to water and aesthetic appeal. ? Cork flooring is used on the ground floor mainly because of the sustainability  element (only the bark is harvested from the tree, causing no damage to the  tree which regrows new bark). ? All lighting is energy-saving LEDs supplied  by Earthpower. ? Appliances such as the refrigerator, washing machine,  dishwasher and television are also energy saving compliant. ?

  • Transformation of the sustainable material  
    The 'hemp house' is a project to showcase industrial hemp and its  potential as an eco-construction material. ? The hemp house is a  standing example of the viability of the replacing of traditional building  materials with sustainable material. The house is also a reminder of the  amazing environmental benefits which might be gained from more  extensive integration of hemp into the construction industry. ? Hemp  construction focuses on using the hemp stalks, which produces long  strong hollow fibres that can be used to make insulation mats, ? while  the woody part can be pressed into tree-free particle boards for use in  cabinets and panelling, ? as well as hempcrete when mixed with a lime based binder. ? The aim of using hemp in construction is to move from  an extractive method relying on mined and synthetic materials to a  renewable method. ? 
  • The impact of the design on the environment 
    Industrial Hemp refers to a non-narcotic cannabis cultivar that is used for  a wide range of end products. Hemp has anti-bacterial and anti-allergenic  properties ? with excellent thermal and sound insulation properties. ? As  an organic fibre it allows the walls to breathe and helps purify the air. ? Hemp grows up to 4m tall in 4-5 months and is organic by nature. ? It  can be used as a sustainable resource for paper, fuel, textiles,  construction materials, bio-composites, nutrition, cosmetics and more. ? Currently it is strictly controlled due to its illicit cousin, marijuana/dagga,  but over 40 countries are now growing it as part of a move back to a  green sustainable economy. Hemp has a low carbon footprint and  therefore has no negative impact on the environment. ?  

EXAMPLE OF AN INTERNATIONAL DESIGNER 
(Allocate 7 marks per case study – 1 mark for designer and design  product) 
bogobrush
The bogobrush by John McDougall and Heather McDougall. ? 

  • Brief description of at least one example undertaken by the  designer/design agency or studio 
    The bogobrush is a cylindrical shape biodegradable toothbrush. ? The  nylon bristles of the brush are also 100% biodegradable. ? The design of  the brush is simplistic. ? The cylindrical shape of the toothbrush allows it  to fit perfectly in one's hand. ? The bogobrush bamboo handle replaces  the rubber grips found on ordinary toothbrushes. ?
  • Transformation of the sustainable material 
    The toothbrush is constructed from the woody bamboo plant and waste  plastics that were destined for the landfill. ? The plastics that are  destined for the landfills are combined with plants from American farms to  create the biodegradable handle. ? 
  • The impact of the design on the environment  
    The bogobrush avoids contributing to the 450 million toothbrushes thrown  away annually in the USA. ? The product has a low carbon footprint with  no negative impact on the environment. ? Once aged beyond the  recommended three months it can be thrown on a compost pile or just  buried because of its biodegradable properties. ? 

Credit any other valid statements. 

Q.6 
LEVEL 

COGNITIVE SKILLS 

WEIGHTING 

QUESTIONS 

MARKS  (20)

Lower Order

Remember, Recall, Recognise, Name 

30%

6.1.1 

6.2

2

Understand, Explain, Describe, Classify 

6.1.1 

6.1.2

2

Middle Order 

Apply, Implement, Organise 

40% 

6.1.2 

6.2

6

Higher Order

Analyse, Compare, Interpret

30%

6.1.2 

2

Evaluate, Reflect, Judge 

6.2 

2

Create, Synthesise, Justify 

6.2 

2

TOTAL SECTION C:   40 
GRAND TOTAL:     100

DANCE STUDIES
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

INSTRUCTIONS AND INFORMATION 

  1. This question paper consists of TWO sections with TEN questions in total.  Answer only EIGHT questions as follows:
    • SECTION A: SAFE DANCE PRACTICE AND HEALTHCARE (40 marks) 
      • Answer FOUR of the five questions in this section.
      • You have a choice between QUESTION 3 and  QUESTION 4. If you answer both questions, only the FIRST answer will be marked.
    • SECTION B: DANCE HISTORY AND LITERACY (60 marks)
      • Answer FOUR of the five questions in this section.
      • You have a choice between QUESTION 9 and  QUESTION 10. If you answer both questions, only the  FIRST answer will be marked.
  2. Number the answers correctly according to the numbering system used in this  question paper.
  3. Read each question carefully and take note of what is required.
  4. NOTE: If you are requested to explain/elaborate/describe/analyse/ evaluate/compare, write your answer in full sentences and give as  much information as possible. One-word answers will NOT be  accepted. 
  5. You may do rough planning in the ANSWER BOOK. Draw a line through any  work that should NOT be marked. 
  6. You will be assessed on your ability to:
    • Use good English (write only in one language)
    • Organise and communicate information clearly
    • Use the specific format asked for in certain questions
    • Use specialist dance terminology where appropriate
  7. Write neatly and legibly.

QUESTIONS

SECTION 1: SAFE DANCE PRACTICE AND HEALTH CARE
QUESTION 1: NUTRITION AND MENTAL HEALTH  
1.1 Clearly explain what is meant by a balanced diet and how good nutrition could  benefit a dancer's performance. (5) 
1.2 Stress and tension can prevent a dancer from achieving his/her maximum  potential in class. Describe TWO symptoms of stress and tension and how  they could affect a dancer. (2) 
1.3 Clearly describe THREE relaxation techniques you can use to reduce stress  and tension. (3) 

[10] 

QUESTION 2: COMPONENTS OF FITNESS 
There are FIVE components of fitness a dancer needs to perform optimally. Do NOT  include nutrition or life style choices in the answer. 
Give the following information: 

  • The name and a definition of each component  (5)
  • An explanation of how each component contributes to a dancer's performance (10) 

[15]

NOTE: You have a choice between QUESTION 3 and QUESTION 4.  
Answer only ONE of these questions. 
QUESTION 3: MUSCLES AND ACTIONS  
You have to tutor a Grade 10 dance class on some of the main leg muscles used  in dance. Prepare the following information: 
3.1 List FOUR important muscles/muscle groups and describe to the class where  they are located. (4) 
3.2 Choose any TWO muscles/muscle groups and write down the following: 

  • ONE anatomical action for each muscle/muscle group  (2) 
  • An example of ONE dance movement that may be performed using the anatomical action given above   (2) 

[8] 

OR 

QUESTION 4: INJURIES AND TREATMENT 
4.1 What is the difference between a sprain and a strain? (2) 
4.2 Name FOUR of the main causes of a knee injury in the dance class. (4) 
4.3  Explain TWO ways to protect your knees in the dance class to prevent possible knee injuries.  (2) 

[8]

QUESTION 5: POSTURE/SAFE STRETCHING 

 A  B
188 khsdh

[Source: www.dancemagazine.com] 
5.1 Study the photographs above. Indicate whether the postures in A and B are  CORRECT or INCORRECT. Substantiate your answer, stating in EACH case,  the relationship with safe dance practice. (3) 
5.2 Many dance teachers, concerned parents and health professionals are struggling with what they see going on in the dance world, especially online.

189 overstretching
 [Source: www.theballetblog.com] 
190 kjhhjdgjh
 [Source: www.danceproject.ca] 

Refer to the statement and the pictures above and give your opinion and  suggestions on safe stretching. (4) [7] 

TOTAL SECTION A: 40

SECTION B: DANCE HISTORY AND LITERACY  
QUESTION 6: COMMUNITY DANCE PROJECT AND CAREERS 
The local government has requested you to organise the performances at a DANCE  AND ARTS FESTIVAL they are funding in a poor community.  
Prepare information for the local government that includes the following: 

  • At least FOUR aspects about the purpose of the dance and arts festival and the  impact it could have on the community  (4) 
  • Outline, in detail, THREE facilities and/or resources that will be needed for the performances  (3) 
  • Name THREE arts production jobs that will be generated for the dance and arts festival and explain the function of each of these jobs  (3)

[10] 

QUESTION 7: FUNCTIONS OF DANCE IN SOCIETY AND DANCE FORMS
7.1 How can dance contribute to development in the categories below?  
Choose only THREE categories and give an informative description of EACH area: 

7.1.1 Education  (2)
7.1.2 Social/Personal transformation  (2)
7.1.3 Communication  (2)
7.1.4 Religion  (2)
7.1.5  Protest (2)

7.2 Compare and explain FOUR similarities and FOUR differences between the  movement principles of African dance and the movement principles of ANY  OTHER dance form you have studied.  
Your answer must focus ONLY on the movement principles of the dance  forms that you are discussing in your answer, African dance and another  dance form. Name the other dance form in your answer. (8)

[14]

QUESTION 8: MUSIC OF A PRESCRIBED WORK 

INTERNATIONAL CHOREOGRAPHERS 

DANCE WORKS

Alvin Ailey 

Revelations

Christopher Bruce 

Ghost Dances

George Balanchine 

Apollo/Jewels (Emeralds, Rubies, Diamonds)

Jiri Kylian 

Wings of Wax/Stamping Ground

Martha Graham 

Lamentation/Errand into the Maze

Matthew Bourne 

Swan Lake/Cinderella

Mats Ek 

Giselle/Swan Lake/Carmen

Pina Bausch 

The Rite of Spring

Rudi van Dantzig 

Four Last Songs

William Forsythe 

In the Middle, Somewhat Elevated

SOUTH AFRICAN CHOREOGRAPHERS 

DANCE WORKS

Alfred Hinkel 

Cargo/I am Cinnamon/Rain in a Dead Man's  Footprints/Bolero/Last Dance

Carolyn Holden 

Blood Wedding/Imagenes

Dada Masilo 

Swan Lake/Romeo and Juliet

Gary Gordon 

Bessie's Head

Gregory Maqoma 

Four Seasons/Skeleton Dry

Mavis Becker 

Flamenco de Africa

Sylvia Glasser 

Tranceformations

Veronica Paeper 

Orpheus in the Underworld/Carmen

Vincent Mantsoe 

Gula Matari

Describe the music of ONE of the prescribed dance works you studied this year (listed  above). Include the following: 

8.1 Give the names of the dance work and choreographer that you chose. 
8.2 Give the names of the composer, group or musicians. (1) 
8.3 What is the genre or style of the music? (1) 
8.4 Analyse how the music/accompaniment enhances this dance work. Give  specific examples from the dance work. (4) 

[6]

NOTE: You have a choice between QUESTION 9 and QUESTION 10.  Answer only ONE of these questions. 
QUESTION 9: CHOREOGRAPHER AND DANCE WORK 
Select ONE of the dance works and choreographers from the list on page 7 and  prepare an interview for a television talk show. You must set relevant, interesting questions and give factual answers about the choreographer and the dance work. 
Give the names of the choreographer and dance work that you chose. 
Your interview must include the following: 

  • An introduction and conclusion 
  • Influences, associations and collaborations 
  • Movement vocabulary and choreographic style used 
  • Symbolism 
  • Contribution to the dance profession

[30]

OR 

QUESTION 10: SOUTH AFRICAN DANCE WORK AND CHOREOGRAPHER 
Prepare a presentation for dance learners on the choreographer, Alfred Hinkel, and the  dance work, Bolero/Last Dance. 
Your presentation must include the following: 

  • An introduction and conclusion 
  • Influences, associations and collaborations 
  • Movement vocabulary and choreographic style used and how it was innovative 
  • Symbolism, your opinion/interpretation 
  • Contribution to dance in South Africa

[30] 
TOTAL SECTION B: 60 
GRAND TOTAL: 100

DANCE STUDIES
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

NOTE TO MARKERS: 
Adhere strictly to this memorandum when marking. The standardisation process during  memorandum discussions ensures that the memorandum covers most possible  responses candidates could provide. Every marker must understand and apply it in the  same way consistently. In some qualitative questions, exercise your professional and  informed judgement. 
Write short comments, giving reasons why a point was marked up or down if the  memorandum does not give a clear guideline and you have to use your own discretion. 
This question paper must be marked by experienced dance teachers/advisors/  officials as it requires specialist knowledge. 

  • In some questions, candidates have a choice. If candidates answered both  questions, mark only the answers to the first question. 
  • Candidates may give a wide variety of answers, depending on what they covered  in class. 
  • The rubrics guide the marking according to cognitive levels and levels of difficulty. 
  •  Markers should NOT award full marks for an answer that is superficial and minimal. 
  • Read and evaluate the whole answer before allocating ticks and marks. One tick is  one mark. 
  • Look for what the candidate knows, not what he/she does not know. 
  • Key words have been put in bold to guide marking.

MEMORANDUM

SECTION A: SAFE DANCE PRACTICE AND HEALTH CARE 
QUESTION 1: NUTRITION AND MENTAL HEALTH  
NOTE TO MARKER:  

  • Many possible answers may be provided by the candidates.  
  • If the candidate only gives one-word answers, give only half marks.  

COGNITIVE LEVELS: 

1.1 = 5 marks MEDIUM level  
1.2 = 2 marks LOW level  
1.3 = 3 marks LOW level  

POSSIBLE ANSWERS: 
1.1 Candidates could answer in many different ways to include both a  balanced diet and the benefits. 
An explanation of a balanced diet, e.g. 
 
A balanced diet includes all the main food groups to ensure the body works at  its best, for example: 
Complex carbohydrates:  

  • They elicit the most energy and should constitute the bulk of the diet, as  they will sustain you through many hours of rehearsals and performances.
  • They are digested slower, providing a slow and stable supply of energy.

Proteins: 

  • Build and maintain the tissues of your body. 
  • They are important for muscle repair and growth. 

Dairy products: 

  • Are important to build calcium in the bones and without sufficient calcium  bones become brittle and can easily be broken or fractured. 

Fruit and vegetables 

  • Through eating vegetables and fruit the body is provided with the  necessary vitamins and minerals which are required for overall well-being.
  • Vitamin supplements may be used if the body receives too little from the  food that is eaten, so that the dancer is not prone to regular illnesses and  off work or missing classes. 

Fat: 

  • A small amount is necessary for organs to function optimally, such as the  heart and brain.
    Any other suitable answers. 

Benefits of good nutrition to a dancer's performance could include:

  • Increased energy levels 
  • Increased mental alertness 
  • Increased fitness levels 
  • Maintain an ideal weight 
  • Recover from illness/injuries quicker 
  • Ability to handle higher levels of stress – emotional well-being 
  • Increased strength – muscle mass 
  • Positive attitude towards training and performing (5)

1.2 Candidate may provide any two symptoms of stress and tension:

  • Fatigue will set in impairing a dancer's judgment in class/ rehearsals and  performance. 
  • Eating related disorders from a poor diet could severely impair a dancer's future career. 
  • Physical - muscle tension/ stiffness, cramps, aches and pains, frequent  colds, rapid heartbeats. 
  • Mental - moody, irritable, unhappy; will prevent the dancers from  interacting with/ working successfully with others in the dance class. 
  • Lack of sleep or sleeping too much – this could lead to lack of  concentration in the dance class which could lead to injuries. 
  • Loss of appetite or eating too much – this could affect the dancer's self image and lead to lack of confidence.
    Any other suitable answers (2) 

1.3 Candidate must clearly describe any THREE relaxation techniques e.g.:

  • Create a safe space for yourself where you can apply relaxation  techniques such as imagery/ breathing etc. and calm your mind. 
  • Cool down techniques to release tension in muscles such as slow  stretching. 
  • Candidates could supply a specific technique e.g. yoga or meditation. 
    Any other suitable answers. (3)

[10]

QUESTION 2: COMPONENTS OF FITNESS 
COGNITIVE LEVELS: 
5 marks = LOW level for the name and definition  
10 marks = MEDIUM level for explaining 

POSSIBLE ANSWERS: 
Allocate ½ a mark if candidates provide only the name with no definition. 

  • Core stability: the strength in the centre of the body, abdomen and back.
  • Strength: the ability of a muscle to exert force against gravity. 
  • Flexibility: a wide range of movement possible in the joints. 
  • Endurance: the staying power of the body to perform over longer periods of time.
  • Neuromuscular skills: the ability of the brain to send messages to the body with  an instant reaction time. (5) 

Explaining how each component contributes to a dancer's performance. 
Many of the benefits apply across components. 
Evaluate the whole answer.
Do not award marks for repetitive answers in this  bullet.
Ten clear facts = 10 marks. 
Strength: 

  • Stronger muscles mean more complex movements can be performed and  positions held, i.e. the muscles can resist giving into gravity. 
  • Can perform lifts and jump higher. 

Flexibility: 

  • Adds grace and ease to movements.  
  • Dance will look effortless. 
  • Dancers will have a wider range of movement. 

Core stability: 

  • Can control movements. 
  • Makes balancing easier. 
  • Maintains good posture. 
  • Can shift body weight quickly etc. 

Neuromuscular skills: 

  • Can move quickly – more agile. 
  • Improved co-ordination. 
  • Better musicality. 
  • Improved kinaesthetic awareness, spatial awareness, etc. 

Endurance: 

  • You won't get out of breath. 
  • You will be able to maintain concentration without having to worry how you are  going to finish the class. 
  • Your arms, legs and body won't feel heavy and fatigued, etc.
    Any other suitable answers (10)

[15]

NOTE: The learners have a choice between QUESTION 3 and QUESTION 4. 
Mark only the first answer if both questions have been answered. 

QUESTION 3: MUSCLES AND ACTIONS  
COGNITIVE LEVELS: 

3.1 = 4 marks = LOW level – naming muscles/groups and describing where they are   found 
3.2 = 4 marks = MEDIUM level =  

 2 marks for anatomical actions
 2 marks for explaining one dance movement using the anatomical action 

POSSIBLE ANSWERS: 
3.1 Allocate FOUR marks for naming and describing where the FOUR  muscles/groups are found. Award ½ a mark for naming only. 

  • Quadriceps: 
    This muscle group is found on the front of the thigh. 
  • Hamstrings: 
    This muscle group is found at the back of the thigh. 
  • Adductors: 
    This muscle group is found on the inside of the thigh. 
  • Gastrocnemius: 
    This muscle is found at the back of the lower leg. 

Any other muscle/muscle group in the leg, such as abductors, hip rotators and  anterior lower leg muscles. (4) 
3.2 Allocate TWO marks for providing two anatomical actions and TWO  marks for explaining ONE dance movement for each of the anatomical  actions.  

  • Quadriceps:  
    Extension of the knee
    – stretch the knee 
  • Rectus femoris
    Flexion – throwing the leg up high to the front of the body in a kick. 
  • Hamstrings:
    Extension – lifting the leg behind the body.  
  • Adductors:
    Adduction – it is a group of muscles that turn out the legs or move the legs  away from the midline/centre (outward rotation). 
  • Gastrocnemius:
    Plantar flexion – it is responsible for lifting the heels in rises, pointing the feet  and helps to push off the floor in jumps and flexes the knee.
    Any other muscle/muscle group in the leg. (4)

[8] 

OR

QUESTION 4: INJURIES AND TREATMENT 
COGNITIVE LEVELS: 

4.1 = 2 marks = MEDIUM level  
4.2 = 4 marks = LOW level 
4.3 = 2 marks = MEDIUM level  

POSSIBLE ANSWERS: 
4.1 Difference: 

  • Sprain = an injury to a ligament.
  • Strain = an injury to a muscle or tendon. (2) 

4.2 Possible answers related to causes of knee injuries: 

  • Poor alignment of the knee 
  • Forcing turnout of leg 
  • Incorrect landing from a jump 
  • Dancing on incorrect floors – not sprung wood 
  • Lack of strength to control movements 
  • Poor technique 
  • Poor conditioning 
  • Not warming up correctly 
  • Falls, as in an accident or in the choreography 
  • Lack of flexibility 
  • Any other suitable answer related to knee injuries. (4) 

4.3 Possible answers on how to protect your knees in the dance class

  • Apply safe dance practice, like keeping your knees over your middle toe  when you bend your knees or land from a jump. 
  • Do not place stress on the ligaments by moving the joint beyond its normal  range and movement direction.  
  • The knees should always bend before a jump, land through the foot and  end in a knee bend/ demi plié. This landing will prevent the knees and  ankles from jarring and causing serious damage to the knees and ankles. 
  • Strengthening the surrounding muscles of the joint, e.g. the hamstrings  and the quadriceps muscle groups, located at the back and front of the  knee, stabilises the knee joint. Strengthening these muscles has a  protective effect on the knee, and can decrease the stress on the knee joint during exercise. (2)

[8]

QUESTION 5: POSTURE AND SAFE STRETCHING 
COGNITIVE LEVELS: 

5.1 = 3 marks HIGH level  
5.2 = 4 mark HIGH level 

POSSIBLE ANSWERS: 
5.1 Referring to the photographs. Indicate correct and incorrect postures.

  • PHOTOGRAPH A is an example of an incorrect posture, where the  dancer's back is overarched; the pelvis is not well aligned which could  result in serious back problems, such as strain in the lumbar spine, stiff  neck as the head is out of alignment (chin thrust forwards). 
  • The dancer's core muscles are not used, which will prevent the dancer  from balancing and controlling the body, limbs during movements. 
  • Any other suitable answers. 
  • PHOTOGRAPH B is an example of good dance posture and is the correct way to hold the posture while dancing. 
  • The head is up, the neck is long with core stability and the joints lined up. 
  • Dancer B understands how the different parts of the body work in relation  to one another and this will enable the dancer to be able to balance and  have control of all movements. This will also ensure ease of movement  during all activities. (3) 

5.2 Referring to the pictures: Areas that could be included in the answer for  own opinion and suggestions on safe stretching: 

  • Dancers should be aware that there are different types of stretching that  you can use to become supple. 
  • Both pictures show dangerous stretching methods which should be  avoided to prevent injuring your muscles and ligaments. 
  • Stretching should not be painful – it can be difficult, but should not elicit  pain. 
  • Never force your body into a stretch or allow somebody else to force you  into a stretch, as this is dangerous and will cause injury. 
  • Breathing is important to use when stretching as this will help to ease your  body into the stretch. 
  • A dancer must always be aware of his/her body's limitations and work  within that framework when doing stretching or strengthening exercises. 
    Any other suitable answers/suggestions. (4)

[7] 
TOTAL SECTION A: 40

SECTION B: DANCE HISTORY AND LITERACY  
QUESTION 6: COMMUNITY DANCE PROJECT AND CAREERS 
COGNITIVE LEVELS:  

  • Bullet 1: MEDIUM level 
  • Bullet 2: LOW level 
  • Bullet 3: LOW level 

Many possible answers will be provided. Answers must link to the performances at  the dance and arts festival. Look at the whole answer before awarding marks.  
POSSIBLE ANSWERS: 
FOUR aspects about the purpose and the impact it may have on the community, e.g.: 

  • To identify artists and talent in the community – nurture this further 
  • To make arts accessible in the community 
  • To provide exposure for local and professional artists 
  • To create jobs in the community  
  • To give youngsters a goal to work towards 
  • To bring people together from different communities 
  • To inspire young artists 
  • To share skills and develop new talent/ existing talent 
  • To provide a platform for the arts 
  • To promote entrepreneurship and commercial activity in the community 
    Any other suitable answer (4) 

THREE facilities and resources needed for the performances, e.g.:

  • Performance space indoor/outdoor amphitheatre, e.g.:
    • Chairs/Seating for the audience 
    • Stage with a suitable/sprung wooden floor 
    • Suitable size for the type of performances
    • Dressing rooms for the performers
  • Sound equipment to include: 
    • Amplifiers 
    • Speakers with enough volume 
    • Microphones
  • Publicity materials to include: 
    • Posters/Flyers for advertising 
    • Programme of events for the festival 
    • Announcer for the festival 
    • Sponsors
      Any other suitable answers. (3)

THREE arts production jobs that will be created for the dance and arts festival  and explanation of the function of each. One-word answers must NOT be  awarded full marks. Do NOT award marks for jobs not related to arts production, e.g.: 

  • Organiser(s)/Manager/Event organiser/Project manager who will plan all the  events and order of the festival. 
  • Publicist to advertise the festival and ensure full participation of the community. 
  • Choreographers/Directors for the various dance pieces/arts to be performed or  exhibited. 
  • Teachers/Facilitators to help run arts workshops for the children. 
  • Sound technician who will be in charge of playing the music/microphones/  announcements, etc. 
  • Dancers/Actors/Musicians, etc. who will perform for the community. 
    Any other suitable art production jobs. (3)

[10] 

MARKING RUBRIC

DESCRIPTOR 

MARK 

THE CANDIDATE

Outstanding 

9–10

  • Shows excellent knowledge of the purpose of the festival and the potential of the arts  to make an impact on the community.
  • Displays an excellent understanding of the facilities and resources required for the  performances. 
  • Connects the programme with relevant arts production jobs and clearly explains the  jobs.

Adequate 

6–8

  • Well written proposal.
  • Shows knowledge of the purpose of the festival and the potential of the arts to make  an impact on the community.
  • Displays an understanding of facilities and resources required for the performances.
  • Connects the programme with arts production jobs with vague explanations.

Moderate 

3–5

  • Shows limited knowledge of the purpose and potential of the arts to make an impact  on the community.
  • Shows limited/minimal understanding of facilities and resources needed for the  performances. 
  • Can only name jobs, does not explain.

Not Achieved 

0–2

  • Displays no/minimal/vague understanding of the question. 
  • Provides information not asked for in the question.
  • Writes very little or nothing.

QUESTION 7: FUNCTIONS OF DANCE IN SOCIETY AND DANCE FORMS 
COGNITIVE LEVELS: 

7.1 = 6 marks LOW level  
7.2 = 8 marks HIGH level – comparing 

7.1 Mark only the FIRST THREE if more categories are provided. An informative  description is required for each answer. 
7.2 Evaluate the whole answer before awarding marks. HIGH level as candidate is  asked to compare and explain in full sentences FOUR similarities and FOUR  differences between African dance principles and another dance form. Do not  award marks if candidates include other areas for comparison, such as costumes and props. 
7.1

7.1.1 Education:  

  • Dance can be used to pass on traditions/history of a community. 
  • It can be used to educate communities on social issues. 
  • It can prepare people for careers. 
  • It can teach life skills, such as discipline and team work.
    Any other relevant answer. (2) 

7.1.2 Social/Personal transformation: 

  • Dance is used in many ceremonies, e.g. of coming of age – move from being a child to adulthood. Weddings – move from  being single to being married, etc. 
  • Dance is used in rituals for healing – moving from illness to  health. 
  • Many dancers experience a sense of personal transformation  through dance, e.g. a sense of purpose, improved life skills and increased awareness of others. 
  • Dance is used to build social skills through teamwork and trust  exercises.
    Any other relevant answers. (2) 

7.1.3 Communication: 

  • To put across ideas and thoughts. To inform without using  words – dance is a universal language. 
  • To show and express emotions non-verbally.
    Any other relevant answer. (2) 

7.1.4 Religion: 

  • Dance is used in many spiritual ceremonies to enhance the  meaning/message. 
  • Dance used in religious customs or charismatic church services  can be linked to transformation.
    Any other relevant answer. (2) 

7.1.5 Protest: 

  • Dance is used to make political statements without using words. 
  • Dance is used to demonstrate – toyi-toyi. 
  • Any other relevant answers. (2)

7.2 Many possible dance forms will be provided by the candidates. African  dance must be included as one of the dance forms.  
ONLY movement principles must be included in the answer.  
Bullets are used to aid marking. 
CONTEMPORARY VS. AFRICAN DANCE 
Differences could be: 

  • African dance movements are traditional and often do not change. 
    Contemporary dance movements are often created through improvisation and differ from one choreographer to another. 
  • African dance and music are not separate from each other. The dancers  incorporate singing/body percussion/ululating, etc. into their movements. 
    Contemporary dance usually chooses pre-recorded music that will  enhance the intent/story of the dance work and choreograph movements  to fit the music and may work without music.  
  • African dance imitates movements literally found in the natural world. 
    Contemporary dance adapts natural movements through abstraction. 
  • Contemporary dance often involves lifting/counterbalance between  dancers. 
    African dance does not involve lifting of partners but rather focuses on  line/circle formations. 
  • African dance is rhythmic. 
    Contemporary dance is more visual. (4)
    Any other suitable answers. 

Similarities could be: 

  • Both dance forms complement gravity in their movements/giving into/  dance towards the ground. 
  • Both dance forms are performed mostly with bare feet. 
  • Both dance forms use everyday movements/gestures. 
  • Both dance forms use large jumping and leaping movements defying  gravity.
    Any other suitable answers. (4) 

[14] 

MARKING RUBRIC 7.2

DESCRIPTOR 

MARK 

THE CANDIDATE

Outstanding 

7–8

Compares and explains, in well written full sentences, FOUR differences and FOUR  similarities between African dance principles and the dance principles of one other dance  form. Shows in-depth understanding of the movement principles of both dance forms. 

Adequate 

5–6 

Compares and explains, in full sentences, FOUR differences and FOUR similarities between African dance principles and the dance principles of one other dance form.

Moderate 

3–4 

Comparison basic/limited in many aspects of FOUR differences and FOUR similarities between African dance principles and the dance principles of one other dance form.

Not Achieved 

0–2 

Cannot compare/minimal/ no knowledge of African dance principles and the dance  principles of one other dance form.

QUESTION 8: MUSIC OF A PRESCRIBED WORK 
COGNITIVE LEVELS: 

8.2 = 1 mark LOW level 
8.3 = 1 mark LOW level  
8.4 = 4 marks MEDIUM level  

POSSIBLE ANSWERS: 
8.1  Ghost Dances Christopher Bruce 
8.2  Inti-Illimani  (1) 
8.3  Traditional Chilean folk music  (1) 
8.4 Candidates must analyse how the music enhances the work.  One-word answers are not acceptable. 
Answers could include: 

  • Wind sounds in the beginning set an eerie atmosphere, symbolise being in  the cave, make the setting more real, etc. 
  • Folk music using traditional South American instruments enhances the folk  style of movements and helps to tell the story.  
  • The songs are sad and haunting telling of the suffering of the people  and this is portrayed through their movements, e.g. the woman in the  red dress. 
  • Some of the songs and music are upbeat and fast creating the  atmosphere of what life must have been like before the war, e.g. Section 2  with the 3 men and 3 women.  
  • At the moment of death there is silence which adds to the atmosphere and  sadness of the moment.
    Any other suitable answer. (4)

[6]

NOTE: The candidate has a choice between QUESTION 9 and QUESTION 10.  Mark ONLY the first answer if both questions have been answered. 
QUESTION 9: CHOREOGRAPHER AND DANCE WORK 
COGNITIVE LEVELS: 

2 marks = LOW level – introduction/ conclusion 
20 marks = MEDIUM level – influences/collaborations/associations/movement vocabulary/  choreographic style/contribution to dance 8 marks = HIGH level – symbolism/your opinion/interpretation 

Use professional judgment and an in-depth knowledge of the choreographer and  the dance work when marking. Bullets used to aid marking. 
MARKING RUBRIC:

DESCRIPTOR 

MARK 

THE CANDIDATE

Outstanding 

24-30

  • Excellent/Catchy introduction, summary and conclusion to the interview.
  • In depth understanding of how to set a good question that elicits a good answer.
  • Includes detailed, factual examples in answer.
  • Shows excellent understanding of an interview format.
  • Has a wide and detailed knowledge of both the choreographer and the dance work.
  • Is able to analyse the symbolism used, give opinions/interpretations and provide clear, detailed  examples.
  • Includes all sections asked – influences and collaborations/ movement and choreographic style/  contributions/symbolism with attention to detail.

Meritorious 

21–23

  • Clear, well written introduction, summary and conclusion to the interview.
  • Understands how to set a good question that will elicit a good answer.
  • Includes factual examples in answer.
  • Writes as if in an interview.
  • Has a detailed knowledge of both the choreographer and the dance work.
  • Is able to analyse the symbolism used and provide clear, examples.
  • Includes all sections asked – influences and collaborations/movement and choreographic style/  contributions/symbolism.

Substantial 

18–20

  • Basic introduction, summary and conclusion to the interview.
  • Basic understanding of how to set a good question that elicits a good answer.
  • Includes examples in answer.
  • Writes as if in an interview.
  • Has knowledge of both the choreographer and the dance work.
  • Is able to analyse the symbolism used and provide examples.
  • Includes all sections asked – influences and collaborations/movement and choreographic style/  contributions/symbolism, but has basic/limited knowledge in some sections.

Adequate 

15–17

  • Limited introduction. Includes either summary or conclusion to the interview.
  • Limited understanding of how to set a good question that elicits get a good answer. Includes basic examples in answer.
  • Writes in a limited manner for an interview.
  • Has basic knowledge of both the choreographer and the dance work.
  • Is able to describe production elements, music and movement vocabulary.
  • Includes all sections asked – influences and collaborations/movement and choreographic style/  contributions/ symbolism, but has limited knowledge in some sections.

Moderate 

12–14

  • Limited/No introduction, summary and conclusion to the interview.
  • Sets questions directly from what the paper asks. 
  • Very few examples included with answer.
  • Writes poorly or not at all for an interview.
  • Has limited knowledge of the choreographer and the dance work.
  • Is able to describe some areas – influences and collaborations/movement and choreographic style/  contributions.

Elementary 

10–11

  • No introduction, summary and conclusion to the interview.
  • Struggles to set a question.
  • Minimal examples given in answer.
  • Writes poorly - not an interview
  • Has very little knowledge of the choreographer and the dance work.
  • Can give a minimal description of some areas of influences and collaborations/movement and  choreographic style/contributions.

Not Achieved 

0–9

  • No introduction, summary and conclusion to the interview.
  • Struggles to set a question.
  • Little/Incorrect information in answer.
  • Writes poorly – not an interview.
  • Has very little/no knowledge of either the choreographer or the dance work.
  • Has very little/no knowledge of most areas of influences and collaborations/movement and  choreographic style/contributions.

QUESTION 10: SOUTH AFRICAN DANCE WORK AND CHOREOGRAPHER 
COGNITIVE LEVELS: 

  • 2 marks = MEDIUM level – introduction/conclusion/presentation 20 marks = MEDIUM level – influences/collaborations/associations/movement  vocabulary/choreographic style/contribution to dance 8 marks = HIGH level – symbolism, opinion/interpretation 
  • Use professional judgment and an in-depth knowledge of the choreographer and  the dance work when marking.
  • Bullets used to aid marking. 

Candidates must prepare a presentation for dance learners about the  choreographer, Alfred Hinkel, and the dance work, Bolero/Last dance. The presentation may be bullets, a mind map or in essay format and should  include the following: 
An introduction and conclusion. 
Influences, associations, collaborations.  
Possible areas that could be included: 

  • Hinkel grew up in a conservative family in Namaqualand. 
  • He started dancing at the age of ten, although his father was against him dancing.
  • In the early 1970s he continued his training at the UCT School of Dance for a short  time, thereafter returning to his home in Namaqualand. 
  • It was his daily experience of teaching in the 'coloured' communities (without proper  facilities) that laid the foundation for a truly original and resourceful approach to  dance teaching and choreography. 
  • Hinkel met John Linden and Dawn Langdown in Okiep, Namaqualand, two people  with whom he would consistently collaborate over the years to come.
  • Together they formed the Namaqualand Dansgeselskap. 
  • In 1981 he joined Jazzart Dance Theatre as a dancer and eventually took over as  the director. 
  • Through the turbulent times of the state of emergency he became increasingly  politicised which was reflected in his work.  
  • Exposure to working through improvisation during the Abamanyani process  influenced the way he began to work and he has developed a unique way of  teaching and choreographing, drawing from the essence of the dancers.
    Any other factual answers.

Movement vocabulary and choreographic style used and how it was innovative.

  • Bolero was a novelty in its time. Hinkel's work featured elements seldom (or never)  seen on stage before such as:
    • African dance was staged as performance art. 
    • Previously, African dance had been viewed as a quaint tourist attraction.
    • The staging of the earlier versions of Bolero was vital in asserting a recognised  place for African contemporary dance in the world of South African performance  art. 
    • African dance was set to classical music 
    • Gumboots were worn by women and in particular, white women. One needs to  appreciate that gumboot dancing arose from, 'a working class people, mostly  miners and dock workers', and that it was not a practice performed by women,  let alone white women. 
  • Thus, when the female cast of Bolero, marched proudly onto stage, they crossed a  cultural and societal threshold. 
  • Gumboots were used in an 'avant-garde' way.  
  • Traditionally performed with a bent back, Hinkel demonstrated how an established  technique could be manipulated for creative purposes when his dancers were seen  performing their own, upright version of gumboot dancing. 
  • The contact work featured in Bolero was very innovative for its time. 
  • The traditional roles of men and women were disregarded. 
  • In Bolero, men lift men, women lift women, women lift men and so on. 
  • The traditional roles of the male and female were turned upside down when  Hinkel's piece subversively suggested that women were entitled and able to initiate  action and assume leadership and that men could feel weak and vulnerable.
  • Bolero made bold political assertions. 
  • With each version the choreography has been influenced by the participants, each  bringing their uniqueness to the interpretation as Hinkel has always used  improvisation when creating dance works.  
  • He also fused different dance forms such as contemporary and African dance as  well as Indian and contemporary dance.
    Any other suitable answers. 

(Note there could be an overlap between movement vocabulary and symbolism)

Symbolism/opinion/interpretation 

  • Bolero has been staged in diverse forms to fulfill numerous purposes. In the earlier  versions of Bolero, Hinkel intended to make symbolic statements through dance on  issues that were not meant to be talked about (this almost became one of Jazzart's  policies) about politics, abuse, sexuality etc. 
  • Every performance of the work symbolised a shift in the attitude of the people and  the country from apartheid to post-apartheid. Initially, it served to comment on  politics, then for celebration (it was performed at the inauguration of Nelson  Mandela) and also as incentive for collaboration between classical and  contemporary dance companies as the giver of hope. 
  • Bolero is a work that has traced a fairly political path and has continually  transformed through the process of being reworked on each of the several  occasions that it has been staged to create new meaning. 
  • The original version symbolised 'overcoming prejudice', and focused specifically on  the Immorality Act – arguably the most controversial of the legislative acts of the  South African Apartheid government which attempted to forbid intermixing of  couples of different races. 
  • The costumes were used to make statements such as non-gender specific  costumes worn symbolising gender discrimination, leather and chiffon together  symbolising the strength and softness of women, etc. 
  • Any other suitable answers, opinions/interpretations. 

Contribution to dance in South Africa. 

  • Hinkel works predominantly with untrained dancers and develops their talent  through training methods developed from working in underprivileged areas.
  • He developed his own style of training and developed a method that he would use  over the next 30 years to train his dancers. This style has now been adopted and  developed by many dancers, choreographers in their own way.  
  • Hinkel combines a mixture of styles as well – contemporary, African, Indian as well  as classical elements of dance which has also influenced ways of choreographing  in this country. 
  • Used dance to make social commentary especially to do with sexism, racism and  other forms of discrimination and abuse of power. 
  • He developed and popularised improvisation as a means of creating new material  for choreography. 
  • Is outspoken about injustices. 
  • He mentored many fledgling dance companies. 
  • Supported schools with artists in residence and lecture demonstrations.
  • He trained many dancers through a training programme run by Jazzart who have  become the next generation of master teachers and choreographers.

[30] 
TOTAL SECTION B: 60 
GRAND TOTAL: 100

CONSUMER STUDIES
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

MEMORANDUM

QUESTION 1
1.1

1.1.1 C✔ Understanding, easy (Focus, p.104; Successful, p.126) (1)
1.1.2  D✔ Understanding, easy (Focus, p.75; Successful, p.85) (1) 
1.1.3  C✓ Understanding, easy (Focus, p.77; Successful, p.91) (1) 
1.1.4  A✓ Understanding, easy (Focus, p.77; Successful, p.91) (1) 
1.1.5  A✓ Understanding, easy (Focus, p.79; Successful, p.93) (1)
1.1.6  C✔ Understanding, moderate (Focus, p.49; Successful, p.54) (1)
1.1.7  D✔ Remembering, easy (Focus, p.61; Successful, p.67) (1) 
1.1.8  A✔ Remembering, easy (Focus, p.117; Successful, p.137) (1) 
1.1.9  B✔ Remembering, easy (Focus, p.128; Successful, p.146) (1) 
1.1.10 B✔ Remembering, easy (Focus, p.61; Successful, p.67) (1) 
1.1.11 A✔ Remembering, easy (Focus, p.148; Successful, p.162) (1) 
1.1.12 B✔ Remembering, easy (Focus, p.134; Successful, p.155) (1)
1.1.13 D✔ Remembering, easy (Focus, p.122; Successful, p.140) (1) 
1.1.14 D✔ Remembering, easy (Focus, p.64; Successful, p.72) (1) 
1.1.15 A✔ Understanding, easy(Focus, p.40; Successful, p.42) (1)
1.1.16 D✔ Understanding, moderate (Focus, p.13; Successful, p.19-20) (1) 
1.1.17 C✔ Understanding, moderate (Focus, p.17; Successful, p.22) (1)
1.1.18 B✔ Understanding, moderate (Focus, p.168; Successful, p.185) (1) 
1.1.19 C✔ Understanding, difficult (Focus, p.166;Successful, p.183) (1) 
1.1.20 B✓ Analysing, difficult (Focus, p.167-168; Successful, p.185) (1) 

1.2

1.2.1  emulsifiers✓ (Focus, p.93; Successful, p.113)  (1)
1.2.2  stabilisers✓ (Focus, p.93 ; Successful, p.113)  (1)
1.2.3  bleaches✓  (Focus, p.94 ; Successful, p. 113)  (1)
Remembering, easy

1.3

D✔ 
E✔ 
F✔ 
H✓ (in any sequence) (4)
Remembering, moderate (Focus, page 136–137; Successful, page 157) 

1.4

1.4.1 B✔  (Focus, p.7; Successful, p.12 and 35)  (1) 
1.4.2 A✔  (Focus, p.37; Successful, p.36)  (1) 
1.4.3 G✔  (Focus, p.36-37; Successful, p.35–37)  (1) 
1.4.4 C✔  (Focus, p.40; Successful, p.39)  (1) 
Understanding, moderate 

1.5

1.5.1  D✓ (Focus, p.158; Successful, p.176)  (1) 
1.5.2  B✓  (Focus, p.159; Successful, p.177)  (1) 
1.5.3  C✓ (Focus, p.162; Successful, p.178)  (1) 
1.5.4  E✓  (Focus, p.161; Successful, p.177–178)  (1) 
Understanding, moderate 

1.6

A✔ 
D✔ 
F✔ 
G✓ 
H✓ (in any sequence) (5)
Analysing, moderate (Focus, page 49, 51, 57-59; Successful, page 50, 51, 59–65 and  CAPS (Grade 11) 

[40]

QUESTION 2: THE CONSUMER 
2.1

2.1.1 South African Revenue Service/SARS✓ (1)
Remembering, easy (Focus, page 163; Successful, page 181) 
2.1.2 Pay-as-you-earn/PAYE✓ (1)
Remembering, easy (Focus, page 163; Successful, page 181) 
2.1.3 (4) 

 

Non-provisional tax 

Provisional tax

Regularity/  Type of income  earned

Employed by an  employer/full-time  employed/regular  monthly income/fixed  monthly income/earning  a salary✓ (1)

Income is not  fixed/irregular  income/people  with income other  than salaries✓  (1)

How often the  tax is paid

Every month/ monthly✓   (1)

Twice a year✓  (1) 

Understanding, moderate (Focus, page 163; Successful, page 181) 
NOTE: Deduct one mark if not answered in table format. 
2.2

  • An exemption clause is a clause included in contracts that exonerates (clears) a party from any liability✓ should he/she fail to honour the  agreement/when the agreed product or service does not serve the  purpose for which it was acquired.✓ (2)
    Understanding, easy (Focus, page 156; Successful, page 173) 

2.3

2.3.1

    • Kettle✓
    • Basic light✓
    • Heating of water✓
    • Ironing✓
    • Small (black and white) television✓ (Any 2) (2)
      Remembering, easy (Focus, page 183; Successful, page 203) 

2.3.2 

    • Set the geyser temperature to 60 °C/reduce the geyser  temperature.✓
    • Install a geyser timer that can be set to turn on the geyser early in the morning and on again in the evening.✓
    • Insulate the geyser/use a geyser blanket and outlet pipes to  prevent heat loss.✓
    • Use a low-flow shower head as they use 40 per cent less hot  water.✓
    • Install a solar energy/solar water-heating unit with a geyser to  heat water as 25 per cent or more can be saved on the  electricity bill.✓ (Any 2) (2)
      Understanding, moderate (Focus, page 174; Successful, page 192)

2.4

  • Inflation: Inflation increases the price of goods and services therefore  consumers will spend more on food.✔ 
  • Rising petrol prices: When the petrol price increases, transporting food to  the point of sale will increase✓ therefore food prices will increase even  more as the consumer eventually pays for the increase of the petrol  price.✔ 
  • Food bought on credit: If food is bought on credit, as well as increased  interest rates may increase the food price even more.✔ 
  • Depreciation of the rand: Imported foods will cost more.✓ (Any 4) (4)
    Applying, difficult (Successful, page182-185; Focus, page 164-168)  

2.5

  • It is very likely that this is a fake e-mail/phishing/scam/ identity theft.✓
  • It is very unlikely that any financial institution will offer an interest rate as  low as 4,00%✓ as it is lower than the repo rate and the institution will  make no money.✓ 
  • This deal looks too good to be true, so it is possibly too good to be  true/not true.✓ (Maximum 3) 
  • A consumer should not give/email any personal details to Elite Loans.✓ 
  • It is best to delete this e-mail.✓ (Minimum 1) (4)
    Analysing, moderate (Focus, page 159; Successful, page 177) 

[20]

QUESTION 3: FOOD AND NUTRITION 
3.1

  • Antioxidants preserve the quality of food/lengthen the shelf life✔ of food.
  • Prevent rancidity✔and unpleasant taste and smell✔ in margarine/cooking  oil/biscuits/potato chips/soup mixtures. 
  • Preserve the colour of fresh cut fruit and vegetables/delay enzymatic  browning/discolouration in fruit and vegetables/fruit juice/soft drinks/ canned vegetables/frozen fruit.✔ (Any 3) (3)
    Remembering, moderate (Focus, page 34; Successful, page 114) 

3.2

  • Drink water only from safe water supplies that are regularly chlorinated.✓
  • Boil water✓ for 10 to 15 minutes if you are not sure that it is safe. 
  • Don't swim in infected water.✓ 
  • Don't wash fruit/vegetables in infected water.✓ (Any 2) (2)
    Remembering, easy (Focus, page 90; Successful, page 107-108) 

3.3

  • Food irradiation destroys micro-organisms/pathogenic bacteria/other  harmful organisms✓ in order to prevent food-borne diseases/make food  safer to eat.✓ 
  • It destroys or deactivates organisms that cause food spoilage.✓ In this  way the shelf life of fruit and vegetables is extended/ can be stored for  longer.✓ 
  • Irradiation delays the sprouting of onion/garlic/potatoes/ripening of fruit,✓ so it reduces losses from damage during transportation/ storage.✓ In this way, the shelf life of the fruit and vegetables is extended.✓  
  • It destroys insects in or on tropical fruit that is imported/exported.✓ In this  way, the shelf life of the fruit is extended.✓ (Any 2 x 2) (4)
    Understanding, moderate (Focus, page 105; Successful, page 127) 

3.4

3.4.1 

    • Diabetes is a chronic disease in which the blood-glucose level  is abnormally high✓ because the body cannot control it  properly.✓ It occurs when the beta cells in the pancreas do not  produce any insulin✓ or do not produce enough insulin✓, or  when the body does not use insulin effectively.✓
      OR
    • Diabetes develops when the body does not make enough  insulin✓ or is unable to use the insulin✓ it makes. Insulin is  needed to turn sugar into energy.✓ Without insulin sugar  builds up in the blood/ high blood sugar levels develop.✓  (Any 3) (3)
      Remembering, easy (Focus, page 72-73; Successful, page 80)

3.4.2

    • There is a link between type 2 diabetes and lifestyle.✓
    • The onset of type 2 diabetes may be prevented or delayed by  following a healthy diet.✓
    • Maintaining a normal body weight✓as obesity/overweight  increases the risk of coronary heart disease and diabetes. ✓
    • Having an active lifestyle/regular exercise✓ helps the body to  use insulin more effectively,✓ which controls blood glucose  levels.✓ (Any 5) (5)
      Understanding, moderate (Focus, page 73; Successful, page 82) 

3.5

  • Fresh fruit and vegetables contain vitamin C✓which promotes/enhances  the absorption of iron.✓ 
  • Iron is found in green leafy vegetables will assist in the formation of  haemoglobin/red blood cells.✓ (Any 2) (2)
    Understanding, moderate (Focus, page 76-77; Successful, page 91) 

3.6

3.6.1

    • Hypertension is caused when the blood pressure against the  walls of the arteries✓ remains high for a long time.✓
      OR
    • Hypertension develops if the walls of the larger arteries lose  their natural elasticity✓ and become rigid,✓ and the smaller  blood vessels become narrower due to blood pressure that  remains high for a long time.✓
      OR
    • The pressure of blood that flows in the arteries✓ is measured  at a high and a low point.✓ If blood pressure is too  high/hypertension puts you at risk✓ of a heart  attack/stroke/kidney damage/eye damage. (Any 2) (2)
      Remembering, moderate (Focus, page 77; Successful, page 86)  

3.6.2

    • Saul must use herbs/spices to flavour his food✓ instead of salt.
    • Reduce the intake of processed foods/snacks/smoked  meat/bacon/biltong/potato chips/junk foods/salted  nuts/peanuts/salted popcorn/salty cracks/pizza as it contains  hidden salt.✓
    • Avoid/limit food that has salt/sodium/sodium chloride/mono sodium glutamate (MSG) on the list of ingredients.✓
    • Avoid/limit salty food products/products high in salt which is  more than 600 mg/1,5 g salt per 100 g.✓
    • Do not consume more than 5 g/1 teaspoon salt per day.✓
    • Eat food products low in salt/less than 120 mg/0,3 g salt  per 100 g.✓
    • Limit the amount of salt when cooking. ✓
    • Avoid sprinkling extra salt on cooked food.✓ (Any 5) (5)
      Applying, moderate (Focus, page 77; Successful, page 87-88)

3.7 (4) 

CRITERIA 

GUIDELINES TO PREVENT  OBESITY

HEALTHIER  

ALTERNATIVE

COOKING  METHODS USED

  • Avoid frying food/use less  fat in cooking.✔ (1) 
  • Grill/bake/steam food✔   (1) 

CARBOHYDRATE  INTAKE

  • Reduce the intake of  refined carbohydrates/  starch✔
  • Eat low GI/unrefined  carbohydrates.✔
    (Any 1) 
  • Eat wholegrain  carbohydrates✓
  • Eat low GI food✓ 
    (Any 1) 

Understanding, moderate (Focus, page 98; Successful, page 83)
NOTE: One mark must be deducted if not in table format. 
3.8 

ONE BREAD  TYPE

ONE SPREAD 

ONE PROTEIN  FILLING

TWO  ACCOMPANIMENTS

Wholewheat/ brown bread✓
Reason: 

  • High in  fibre✓ 
  • Low GI✓ 
  • Will reduce  the blood cholesterol level✓(2)

'Lite' margarine✓ 
Reason: 

  • Will lower the  total fat content.✓ 
  • Protects the  heart as most  contains the  heart and  stroke  foundation  logo✓ (2)

Smoked chicken/ Tuna  mayonnaise✓ 
Reason: 

  • High in  protein✓ 
  • Chicken  without the skin  has a lower fat  content.✓
  • Tuna is rich in  omega-3 fatty  acids that  protect the  heart and  blood  vessels.✓ (2)

Tomato/ Cucumber/ Low fat cheese/ Lettuce 
Reason: 

  • Tomatoes/cucumber/ lettuce is rich in  vitamins/minerals/ fibre/low in fat✓that  reduces the risk of  coronary heart  disease. ✓
  • Low-fat cheese has a  reduced fat content  which reduces the risk  of coronary heart  disease. ✓ (4)

NOTE: One mark for each choice and One mark for a reason. (10) 
Analysing, difficult (Focus, page 73-75; Successful, page 83-85)  

[40]

QUESTION 4: CLOTHING 
4.1

  • They pay fair wages.✓ 
  • They provide good working conditions.✓ 
  • They provide decent work hours.✓ 
  • They do not use child labour.✓ 
  • They comply with civil labour laws and safety laws.✓ 
  • They support environmental sustainability.✓ (Any 3) (3)
    Remembering, easy (Focus, page 61; Successful, page 69) 

4.2

  • The invention of new textiles/fabrics✓ leads to fashion change.
  • Biotechnology/nanotechnology opened up a range of fabrics with special  characteristics for specific purposes,✓ such as sportswear. 
  • Computerised pattern-design methods/improved knitting and sewing  machines✓ lead to fashion change. 
  • Easy communication on fashion via television and social media/Internet/ cellphone/Facebook/twitter✓ leads to fashion change. (Any 2) (2)
    Remembering, moderate (Focus, page 51; Successful, page 54) 

4.3

First impressions are often lasting impressions.✓ People will judge you on  your physical appearance✓ even before they speak to you.✓ A person who is  dressed appropriately/smartly✓ gives the impression that he/she is  confident,✓ ready to learn✓ and ready for doing good work for the  company.✓ Your goal with first impressions should be to project a  professional/competent image.✓ (Any 3) (3)
Understanding, easy (Focus, page 53; Successful, page 57) 
NOTE: Deduct ONE mark if the answer is not written in a paragraph. 

4.4

4.4.1 

    • Fashion cycles will be shorter/fashions will not last long/peak  of the fashion cycle will be shorter.✓
    • Fashion cycles will overlap with shorter intervals.✓
    • This will result in more fashion fads.✓ (Any 2) (2)
      Applying, moderate (Focus, page 50; Successful, page 50) 

4.4.2

A constant demand to deliver newness means that new garments  must be made all the time. As a result, more new/virgin fabrics  must be produced. This causes pollution,✓ may use/depletes natural resources/forests✓ and increases the use of water/depletes water resources.✓ Harmful chemicals✓ are used in the production  of dyes. When consumers constantly buy new garments/clothes  the old ones often land in landfill sites where those that are not  biodegradable may remain for a very long time✓ and cause  pollution.✓ If new garments are imported they are transported that  emits carbon dioxide.✓ (Any 4) (4)
Applying, difficult (Focus, page 61-63; Successful, page 67-70) 
NOTE: Deduct one mark if not written in paragraph format.

4.5 Grey blazer✓ (1)

  • Will keep her warm✓ 
  • Will match the grey pants/white shirt/other items✓ 
  • Professional/formal/smart look/appearance✓ 
  • Classic style, can be worn for a long time✓ (Any 2)
    OR
    Long grey pants✓ (1)
  • Plain/neutral colour, can be mixed-and-matched with other clothes✓
  • Professional/formal/smart look/appearance✓ 
  • Classic style, can be kept for a long time✓ (Any 2)
    OR
    White long-sleeved shirt✓ (1) 
  • Classic style, can be kept for a long time✓ 
  • Plain/neutral colour, can be mixed-and-matched with other clothes✓ 
  • Professional/formal/smart look/appearance✓ (Any 2)  (Any 2 x 3) (6)
    Evaluating, moderate (Focus, page 57-60; Successful, page61-62, 64) 

[20]

QUESTION 5: HOUSING 
5.1 

  • Payments of the principal/capital (amount borrowed)✓ 
  • Interest✓ 
  • Life insurance premiums✓ 
  • Home-owner's comprehensive insurance premiums✓ 
  • Administration fees✓ (Any 2) (2)
    Remembering, easy (Focus, page 128; Successful, page 145) 

5.2 

  • A title deed is a document that reflects the details of the ownership✓and  of the property.✓ 
    OR 
  • A title deed is a document that proves that you are the owner of the  property✓and includes the location/size of the property✓as well as the  owner's particulars. (Any 2) (2)
    Remembering, easy (Focus, page 128; Successful, page 146) 

5.3

  • A deposit is paid for the connection of water✓and electricity✓when a  consumer buys a house. (2)
    Remembering, easy (Focus, page 128; Successful, page 147) 

5.4 

  • Breakdown of costs/building/legal costs.✔ 
  • Detailed description of the materials and finishes.✔ 
  • Exact dimensions of the house/dimensions according to the house plan.✔
  • Completion date.✔ 
  • Date and method of payment.✔ 
  • Guarantees provided by the builder to repair/set right any structural  defects/roof leaks/incorrect building/late completion of work.✔ 
  • A clause of cancellation/suspension of the contract if either of the parties  cannot adhere to it/clause indicating that if the loan application is  declined/application for government subsidy is turned down, the  agreement with the contractor/builder does not come to effect/falls through.✔ (Any 4) (4)
    Remembering easy (Focus, page 120; Successful, page 139) 

5.5

5.5.1

    • This insurance will cover any losses should the permanent  fixtures/home structure✓ suffer damage as a result of a natural  disaster/storm/ flood,✓ an accident,✓ a burst geyser,✓ political  unrest,✓ a fire✓. (Any 2) (2)
      Remembering, easy (Focus, page 127; Successful, page 145) 

5.5.2

    • Household content insurance✓
    • Will cover items such as electronic equipment/furniture/  clothing/curtains.✓ (2)
      Applying, moderate (Focus, page 127-128; Successful, page 145)

5.6

5.6.1

    • Lindiwe will not qualify✓ for a government housing subsidy. 
    • Lindiwe has a well-paid corporate job and she can only qualify  if she earns R3 500.00 or less per month.✓
    • Lindiwe is not married/has no long term partner/is single/ has no dependants and a citizen only qualifies if she/he has  dependants.✓ (3)
      Understanding, easy (Focus, page 130; Successful, page 149) 

5.6.2 Sectional title town house.✓  (1)  

    • A sectional title town house in a complex is more secure/ safer/has more security✓/as she is a single woman✓ /as she  travels.✓ 
    • She will have the benefit of enjoying the communal garden✓ and swimming pool✓ without the problem of looking after  them/ the body corporate will have the responsibility of  maintaining the garden and swimming pool.✓
    • She travels often and will have less maintenance to do✓ as the  body corporate✓ maintains the exterior of her town house.✓ (4)  (Any 4)
      Applying, moderate (Focus, page 122-123; Successful, page 140-141) 

5.7 

  • Buying a property is very costly/expensive as there are transfer costs/ transfer duties/transfer fees✓ and hidden costs/bond registration fees/ deeds office fees/interim rates/ initiation fee/property valuation fees/ occupational rent/ administration fees/service connection fees.✓ 
  • Renting is cheaper in the short term/initially cheaper✓ and this enables a  tenant to save✓ money for a deposit. The larger your deposit, the easier  it will be to meet the financial responsibilities of owning property.✓ 
  • A tenant pays a fixed amount over a specific period✓ and is not affected  by increases in the interest rate.✓ 
  • A tenant does not pay municipal rates/property tax./Owners pay  municipal rates/property tax.✓ 
  • A tenant does not pay for the maintenance of the property./Owners pay  for maintenance.✓ 
  • A tenant does not pay bond insurance/home owner's insurance./Owners  pay bond insurance/home owner's insurance.✓ 
  • It is easy to move after giving due notice.✓ It is thus easier to rent if you  are not going to stay for long in a city/town/ know that you are going to  move soon.✓ (4 x 2) (8)
    Applying, moderate (Focus, page 118 and 127-128; Successful, page 137 and 146-147)

5.8 

5.8.1 Functionality: 

    • The appliance is small and will easily fit into a small space.✓
    • The appliance is not heavy and can easily be moved when the  student moves.✓
    • The appliance is multi-functional as the student can cook, bake  and grill.✓ (Any 2) 

5.8.2 Consumption of human energy: 

    • Solid plates are easy to clean,✓so this saves human energy.✓
    • The appliance has easy-to-use control buttons.✓ (Any 2) 

5.8.3 Consumption of non-human energy: 

    • Solid plates take a while to heat up,✓ this wastes electricity.✓
    • Solid plates stay warm for several minutes after they have  been turned off,✓ so food can be kept warm after cooking.✓
    • There are two plate sizes, so energy can be saved if a small  saucepan is used.✓
    • The temperature controls are efficient as they provide more  regulated heat.✓
    • The oven is energy efficient as less electricity is needed✓ to  heat a small oven. (Any 5) 

5.8.4 Conclusion: 

    • The appliance will fulfil the cooking needs for a student who  mostly cooks for him-/herself.✓ 
    • This cooking appliance is suitable for a student who is moving  into a small flat.✓ (Any 1) (10)
      Evaluating, moderate (Focus, page 139-140; Successful, page 159-160)
      NOTE: The conclusion can be at the beginning or at the end of the answer. 

[40]

QUESTION 6: ENTREPRENEURSHIP 
6.1

  • Name of product✓ 
  • Trade name/Trade mark✓ 
  • Name and address of manufacturer✓ 
  • Price/price code/bar code✓ 
  • Product content✓ 
  • Size/M/L/XL, etc.✓ 
  • Care instructions✓ (Any 4) (4)
    Remembering, easy (Focus, page 29; Successful, page 29) 

6.2 

  • Creating awareness about the product or service.✓ 
  • To attract the attention of customers./Generate customer's interest.✓ 
  • Persuading customers to buy the product./Create the desire to possess  the article/product./To convince consumers to buy the product.✓ 
  • Expanding the market to new customers.✓ 
  • To provide information about the product.✓ (Any 3) (3)
    Remembering, easy (Focus, page 30; Successful, page 30)
    NOTE: Only mark the first three answers. 

6.3

Using goods and services to improve quality of life✓ and meet the needs of  consumers,✓reducing the use of natural resources, toxic materials and  chemicals/reducing waste✓ and pollution✓to protect the natural  environment. ✓ (Any 3) (3)
Remembering, easy (Focus, page26; Successful, page 26) 

6.4 Demand-based pricing strategy: 

  • The entrepreneur begins by establishing the price that the target market  is prepared to pay for the product.✓ 
  • The entrepreneur then works backwards and makes sure that the costs  are kept as low as possible so that a profit can still be made.✓
    OR 

Premium pricing strategy: 

  • The entrepreneur prices his or her products above the average market  price.✓ 
  • The higher price will indicate to customers that the product is of a high  quality/unique.✓ (2)
    Remembering, easy (Premium pricing strategy: Focus, page 32; Demand-based pricing  strategy: Successful, page 31)

6.5

6.5.1 Infra-structure: 

    • Kitchen (from her mother)✓
    • Electricity✓
    • Water✓
      Appliances:
    • Equipment (from her mother) ✓ (3)
    • Money for the sugar thermometer✓
      Stock:
    • Materials/wood for the shelves that had to be built✓
    • Money for the raw materials/ingredients✓ (Any 3)
      Remembering, easy (Focus, page 11; Successful, page 18) 

6.5.2

  • The area must be well lit so that the stock can be organized  and managed efficiently.✓ 
  • Stock should be stored and arranged so that goods that are  used frequently can be obtained quickly.✓ 
  • Arrange stock according to best before date/expiry date/follow  the first-in-first out principle.✓ 
  • Check that the room has no mildew or damp/the storage area  must be cool and dry.✓ 
  • The shelves must be kept clean and free of dust.✓ 
  • Treat the storage area for pests.✓ (Any 3) (3)
    Understanding, easy (Focus, page 22-23; Successful, page 25) 

6.5.3 

  • Must suit the meringues/suitable shape that will protect the  shape of the meringue.✓ 
  • Must be strong to protect the meringues.✓ 
  • Suitable size for the meringues.✓ 
  • Must keep the meringues clean/fresh/safe for the intended  shelf-life.✓ 
  • Must be airtight/ must protect the meringues from dust/  moisture/drying out/contamination.✓ 
  • Strong enough for transportation.✓ 
  • Easy to handle, open and close.✓ (Any 3) (3)
    Understanding, easy (Focus, page 22; Successful, page 29) 

6.5.4

  1. Human skills:
    • Anati had the skills to make fudge and meringues as she  learned that at school.✓ She attended a course at a  cooking school✓ to help her to perfect the toffee and  nougat recipes. (2)
  2. Consumer appeal:
    • Her products appealed to the students/ the students liked  her products.✓ It is easy for the students to buy the  sweets directly from her.✓ They asked for a wider  variety✓, such as nougat and fudge.✓ (Any 2) (2)
      Understanding, moderate (Focus, page 10 – 14; Successful, page 16 - 20)

6.5.5 Option 1: 

Cost of one packet = R18,00 ÷ 100 
= R0,18✓ 
R31,00 + R4,00 = R35,00 ÷ 36  
 = R0,97 per block✓ 
Cost per packet = R0,97 x 2 + R0,18 
= R2,12✓ 
R2,12 x 120%✓ = R2,54✓ 
R2,12 + R2,54 = R4,66✓ 
Selling price of one packet = R5,00✓ 

Option 2: 

Cost of one packet = R18,00 ÷ 100 
= R0,18✓ 
R31,00 ÷ 36 = R0,86 per block 
R4,00 ÷ 36 = R0,11 per block 
R0,86 + R0,11 = R0,97 per block✓ 
Cost per packet = R0,97 x 2 + R0,18 
= R2,12✓ 
R2,12 x 120%✓ = R2,54✓ 
R2,12 + R2,54 = R4,66✓ 
Selling price of one packet = R 5,00✓ 

Option 3: 

Cost of one packet = R18,00 ÷ 100 
= R0,18✓ 
R31,00 + R4,00 = R35,00 ÷ 18 
 = R1,94 per packet✓  
Cost per packet = R0,18 + R1,94 
= R2,12✓ 
R2,12 x 120%✓ = R2,54✓ 
R2,12 + R2,54 = R4,66✓ 
Selling price of one packet = R 5,00✓ (7)

NOTE: The rand (R) value must be indicated. Penalise (-1) only once.
Applying, moderate (Focus, page 37-38; Successful, page 38-39)

6.5.6 

  • In December, January, April and July, students are on  holiday,✓ therefore she has a lower income during these  months. During these months her production costs increase  because she produces products during the holidays.✓ 
  • In February, March, May, August, September and October,  students are on campus and she is selling her products,✓ therefore she has a higher income during these months.  During these months her production costs decrease as she  produces fewer products while she is studying.✓ (4)
    Analysing, moderate (Focus, page 39; Successful, page 41) 

6.5.7

  • She must save some of her profit✓ during the months that she  earns well/February, March, May, August, September and  October, for the ingredients she needs to buy during her  production months.✓ 
  • During the holiday months/December, January, April and July  she can sell her products on the nearby flea market✓ to  increase her income. 
  • Anati can make special holiday packaging to sell in the  community/on the flea market during December/festive holiday.✓ 
  • She can continue selling her products on campus during the  holidays if there are sports training/workshops/ conferences.✓  
  • She can ask for orders for birthdays or special occasions.✓   (Any 4) (4)
    Creating, moderate (Focus, page 35; Successful, page 34) 

[40] 
 GRAND TOTAL: 200

CONSUMER STUDIES
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

INSTRUCTIONS AND INFORMATION 

  1. This question paper consists of SIX questions.

    QUESTION 

    CONTENT 

    MARKS 

    TIME (minutes)

    Short Questions (All topics) 

    40 

    20

    The Consumer 

    20 

    20

    Food and Nutrition 

    40 

    40

    Clothing 

    20 

    20

    Housing 

    40 

    40

    Entrepreneurship 

    40 

    40

    TOTAL: 

    200 

    180

  2. ALL the questions are COMPULSORY and must be answered in the  ANSWER BOOK. 

  3. Number the answers correctly according to the numbering system used in this  question paper. 

  4. Start EACH question on a NEW page. 
  5. You may use a calculator.
  6. Write in black or blue ink only. 
  7. Pay attention to spelling and sentence construction.
  8. Write neatly and legibly.

QUESTIONS

QUESTION 1: SHORT QUESTIONS 
1.1 Various options are provided as possible answers to the following questions.  Write down the question number (1.1.1–1.1.20), choose the answer and make  a cross (X) over the letter (A–D) of your choice in the ANSWER BOOK. 
EXAMPLE: 1.1.21 
EXAMPLE

1.1.1 A disadvantage of organic farming: 

  1. Crops cannot be grown in winter. 
  2. Less land is required for growing. 
  3. Weeds are difficult to control.
  4. Yields of crops are higher. (1) 

1.1.2 One is advised to eat more fatty ... to limit the risk of coronary heart  disease. 

  1. beef 
  2. chicken
  3. mutton 
  4. fish (1) 

1.1.3 This drink may be taken with a meal to prevent osteoporosis:  

  1. Black tea 
  2. Energy drink
  3. Flavoured milk
  4. Grape juice (1) 

1.1.4 To manage anaemia, this drink should be AVOIDED when eating  a meal: 

  1. Coffee
  2. Milk shake 
  3. Orange juice 
  4. Sparkling water (1)

1.1.5 Which nutrition-related condition is depicted in the diagram below?
185 gsaudyhgua

  1. Dairy intolerance
  2. Hyperglycaemia 
  3. Hypertension
  4. Gluten allergy (1) 

1.1.6 Many people wore Springbok jerseys or T-shirts during the  2015 Rugby World Cup. This shows the influence of … factors on  fashion. 

  1. economic 
  2. political 
  3. social  
  4. technological (1) 

1.1.7 Eco-fashion implies that … 

  1. chemical dyes were used to colour fabrics for garments.
  2. inorganically grown cotton is environmentally friendly. 
  3. only synthetic fibres are used to manufacture garments.
  4. the manufacturing process does not harm the environment. (1) 

1.1.8 A lease is a contract between a … 

  1. tenant and a property owner.
  2. builder and a land owner.
  3. property owner and the municipality.
  4. bank and a property buyer. (1) 

1.1.9 The monthly fee that a homeowner must pay: 

  1. Interim rates
  2. Property rates
  3. Registration fee
  4. Transfer fee (1)

1.1.10 The body corporate in a sectional title complex … 

  1. has the final say about who occupies the units.
  2. may consist of some people who do not own the units.
  3. is not involved in the day-to-day running of the complex.
  4. must consist of at least two lawyers. (1) 

1.1.11 The payment method that gives a consumer the best chance of  getting a discount when he/she buys household appliances: 

  1. Cash
  2. Credit account
  3. Credit card
  4. Layby (1) 

1.1.12 A washing machine with an A rating is desirable because it … 

  1. is a water-saving appliance.
  2. is an electricity-saving appliance.
  3. saves human energy.
  4. shows good universal design. (1) 

1.1.13 A factor that is a requirement for high-quality products: 

  1. Interesting selling place
  2. Creative advertising
  3. Meticulous control of finances
  4. Careful storing of products (1) 

1.1.14 Negative effect of brand piracy: 

  1. Creates competition in the market
  2. The image of brand holders is improved
  3. Registered trademarks increase their profits
  4. Registered trademarked goods do not enter the market (1) 

1.1.15 A cash flow projection … 

  1. shows the movement of money in a future period.
  2. identifies the sales targets for the next few weeks.
  3. is a detailed description of a marketing plan.
  4. is a list of all the expenses incurred. (1) 

1.1.16 Which entrepreneur made a bad choice with regard to the  availability of raw materials? 

  1. Bonita buys all her raw materials in a nearby town.
  2. Lindiwe's raw materials are delivered monthly from the city.
  3. Sihle's raw materials are produced locally.
  4. Pete imports high-quality raw materials from Somalia. (1)

1.1.17 The factor that clearly influences the efficient production of the  products of an entrepreneur who moves to larger premises to be  more organised: 

  1. Consumer appeal
  2. Hygiene of workers
  3. Tidy workspace
  4. Efficient use of time (1) 

1.1.18 … is the consequence of an increase in the cost of electricity. 

  1. A decrease in the consumer price index
  2. An increase in the inflation rate
  3. An increase in income tax
  4. A rise in interest rates (1) 

Read the information below and answer QUESTIONS 1.1.19 and 1.1.20. 

JOHANNESBURG – The Monetary Policy Committee has hiked interest rates  by 25 basis points. 
The rate at which the Reserve Bank lends money to commercial banks now  sits at 6,25 per cent. The market has factored in a 25-basis-point hike. 

 [Source: eNCA, 20 August 2015]

1.1.19 The definition for interest rate:  

  1. A form of tax paid by banks for lending money to consumers  when they do not pay money back on time.
  2. It is the inflation caused by borrowing money from investors  who put their money in the banks.
  3. The amount of money that financial institutions or credit  providers charge for the use of money.
  4. The licence to use someone else's deposited money and return  it to the bank with profit. (1) 

1.1.20 The meaning of 'the market has factored in the 25-basis-point hike': 

  1. Businesses have not increased the prices of goods and  services for the consumer.
  2. The business sector has increased prices for goods and  services.
  3. The consumer price index has been calculated by the Reserve Bank to become 6,25%.
  4. The Reserve Bank has raised the inflation rate in South Africa to 6,25 basis points. (1)

1.2 Indicate the type of food additive that is used in each of the descriptions below. Write down only the word/term next to the question number  (1.2.1–1.2.3) in the ANSWER BOOK. 

1.2.1 Additives added to margarine to mix oil and water permanently (1) 
1.2.2 Additives used in frozen yoghurt to prevent large crystals (1) 
1.2.3 Additives added to freshly milled flour to change the yellowish tint (1) 

1.3 Identify FOUR characteristics of universal design in dishwashers. Write only  the letters (A–H) next to the question number (1.3) in the ANSWER BOOK. 

  1. Low water consumption
  2. Easy to repair
  3. Have a low carbon footprint
  4. Flexible and adaptable racks
  5. Energy-saving switch
  6. Different wash programmes
  7. Not noisy when operated
  8. Auto open when programme is complete (4) 

1.4 Choose the description from COLUMN B that matches the term in COLUMN A. Write only the letter (A–G) next to the question number  (1.4.1–1.4.4) in the ANSWER BOOK, for example 1.4.5 H. 

COLUMN A 
TERM

COLUMN B 
DESCRIPTION

1.4.1 Capital 
1.4.2 Overheads 
1.4.3 Production costs 
1.4.4 Profit

  1. costs such as wages, electricity, water,  administration and cleaning
  2. money or assets used to start a business
  3. surplus after expenses have been deducted
  4. the cost of the product is covered by the sales 
  5. the flow of money into and out of the business
  6. the price displayed on the product that includes all costs
  7. the total amount paid for materials, labour and  overheads

 (4 x 1) (4)
1.5 Choose the description from COLUMN B that matches the term in COLUMN A. Write only the letter (A–F) next to the question number  (1.5.1–1.5.4) in the ANSWER BOOK, for example 1.5.5 G. 

COLUMN A
TERM

COLUMN B 
DESCRIPTION

1.5.1 Illegal stokvel 
1.5.2 Phishing 
1.5.3 Pyramid scheme
1.5.4 Legal stokvel

  1. a supplier tries to influence or harass a consumer to do business with him/her
  2. a type of scam where personal and financial  information is obtained from an unsuspecting  consumer
  3. compensation is received from recruiting other  members rather than from selling any goods or  services
  4. this type of scheme offers unusually high  returns on investments
  5. people join together and pledge regular  contributions to a common fund
  6. the consumer is offered a higher interest rate  than the repo rate

(4 x 1) (4)
1.6 Select FIVE CORRECT statements regarding the photograph below. Write  only the letters (A–J) next to the question number (1.6) in the ANSWER  BOOK. 

186 kjhashga

The woman is wearing a sleeveless shift  dress with three different colours.  The dress is dark blue from the  shoulders to the middle of the thigh with  a 5 cm white strip below the dark blue  and a 20 cm blue-green strip which ends  just above the knee. 

The man is wearing blue jeans with a  white and blue check shirt and a light blue  blazer. 

 [Source: www.truworths.co.za]

  1. The blazer is a classic fashion item.
  2. The blazer is a good example of retrospective fashion.
  3. The colour of the blazer creates the illusion that the man's figure is  more slender.
  4. The colour of the dress creates the illusion that the woman's figure is  slender.
  5. The dress is a fashion fad.
  6. The dress draws attention to the woman's legs.
  7. The dress is suitable for a professional job.
  8. The dress shows harmony of colour.
  9. The man's whole outfit is suitable for a professional job.
  10. The man's jeans are suitable for formal occasions. (5)

[40]

QUESTION 2: THE CONSUMER 
2.1 Read the information below and answer the questions that follow. 

TAX REMINDER 

If you are a non-provisional taxpayer, you must file your tax return  (or ITR12) on eFiling (using the eFiling platform or electronically with the  assistance of an official at a SARS branch) by Friday 27 November 2015.  Provisional taxpayers have until Friday 29 January 2016 to submit their  tax returns. 

[Source: Weekend Argus, 31 October 2015] 

2.1.1 State to whom tax returns must be submitted. (1)
2.1.2 Give another term for non-provisional tax. (1) 
2.1.3 Copy the table below into the ANSWER BOOK and compare  non-provisional tax and provisional tax. 

 

NON-PROVISIONAL  TAX

PROVISIONAL TAX

Regularity/Type  of income earned 

(1) 

(1)

How often is the  tax paid? 

(1) 

(1) 

(4) 

2.2 Explain the term exemption clause. (2)
2.3 Read the information below and answer the questions that follow. 

The government provides free electricity of 50 kWh per household, for  basic needs.

2.3.1 State TWO basic uses that this electricity is sufficient for. (2) 
2.3.2 Explain how households could save on electricity, with specific  reference to geysers. (2)

2.4 Read the extract below and answer the question that follows.  

GASPING AT THE TILL AS GROCERY BILL BALLOONS 

South African consumers are constantly facing increasing food prices.  The reasons are: 

  • Inflation
  • Rising petrol prices 
  • Food bought on credit 
  • Depreciation of the rand 

 [Adapted from Sunday Times, 11 May 2014]

Explain how the factors above contribute to consumers digging deeper into  their pockets. (4) 
2.5 Study the e-mail below that a consumer received and answer the question  that follows. 

Elite Loans is currently offering loans at a 4,00% interest rate in the End-of Year Special Loan Offer. To be a part of this limited offer, you are required to  forward the following details via e-mail to This email address is being protected from spambots. You need JavaScript enabled to view it.: your  ID number, full names, occupation, monthly income, type of loan, telephone  number and e-mail address.

Analyse the e-mail and explain, with good reasons, how a consumer should  respond to this opportunity. (4)

[20]

QUESTION 3: FOOD AND NUTRITION 
3.1 Give THREE reasons why antioxidants are used as food additives. (3) 
3.2 Give TWO guidelines to reduce the risk of dysentery being transmitted  through water. (2) 
3.3 Discuss TWO reasons for food irradiation of fruit and vegetables. (2 x 2) (4)
3.4 Answer the following questions about diabetes. 

3.4.1 Give a brief description of the condition diabetes. (3)
3.4.2 Explain what the consumer can do to prevent type 2 diabetes. (5) 

3.5 Discuss how a high intake of fruit and vegetables will contribute to the  management of anaemia. (2) 
3.6 Read the scenario below and answer the questions that follow. 

Saul is a 36-year-old bachelor who very seldomly cooks and regularly eats a  lot of junk food. He always sprinkles extra salt on his food.

3.6.1 Give a brief description of the cause of hypertension. (2) 
3.6.2 Explain how Saul could reduce the amount of salt in his diet to  prevent hypertension. (5) 

3.7 Copy the table about the management of obesity below into the ANSWER  BOOK and complete it. 

CRITERIA 

GUIDELINE TO PREVENT  OBESITY

HEALTHIER ALTERNATIVE

Cooking  methods used 

(1) 

(1)

Carbohydrate  intake 

(1) 

(1) 

(4) 

3.8 A business runs a food and beverage canteen for employees. A popular light  snack is sandwiches with a choice of fillings.  
From the list below select a suitable combination for an employee suffering  from coronary heart disease and motivate your choice. 

ONE TYPE OF BREAD

ONE SPREAD 

ONE PROTEIN  FILLING

TWO  ACCOMPANIMENTS

  • White
  • Brown
  • Wholewheat
  • Butter
  • Margarine
  • 'Lite' margarine
  • Garlic polony
  • Smoked chicken
  • Tuna  mayonnaise
  • Tomato
  • Cucumber
  • Low-fat cheese
  • Lettuce

(5 x 2) (10)
[40]

QUESTION 4: CLOTHING 
4.1 List the qualifying criteria for manufacturers to place the fairtrade logo below  on their clothes. 

187 ugysajfb(3) 

4.2 Name TWO technological factors that influence fashion change. (2) 
4.3 Write a paragraph to explain how a young adult's choice of clothing contributes to first impressions when he/she goes for a job interview. (3) 
4.4 Read the statement below and answer the questions that follow. 

Consumers always look for new fashion trends.

4.4.1 Explain the effect that the constant consumer demand for new  fashion trends will have on fashion cycles. (2) 
4.4.2 Write a paragraph to explain the negative impact that the constant  consumer demand for new fashion trends may have on the natural environment. (4) 

4.5 Suraya is short and stout. She has to select TWO items in the list below  to wear to a business presentation. Give TWO reasons for EACH choice.  

  • Grey blazer
  • Blue denim jeans 
  • Grey trousers
  • Pink, floral long-sleeved T-shirt
  • Red, chunky, knitted jersey
  • White long-sleeved shirt 

(2 x 3) (6)
[20]

QUESTION 5: HOUSING 
5.1 Name TWO costs that are included in monthly bond repayments. (2)
5.2 Define the term title deed. (2) 
5.3 Municipalities require new homeowners to pay service-connection fees.  Explain what these fees are used for. (2) 
5.4 State the information that should be in a contract signed by the builder and  the property owner. (4) 
5.5 Answer the following questions about homeowner's insurance.

5.5.1 Explain what is covered by homeowner's insurance. (2) 
5.5.2 Name and describe another type of insurance, NOT mentioned in  QUESTION 5.5.1, that a homeowner should take out. (2) 

5.6 Study the scenario below and answer the questions that follow. 

Lindiwe, a South African citizen, is a young, single woman who has a  well-paid corporate job that often requires her to work in other cities. She  enjoys a beautiful garden and swimming, but finds it difficult to care for  a garden and swimming pool as a result of her travelling. She has been  sharing accommodation with a friend. She has now saved enough money for  a deposit and wants to buy property.  
There are two properties that she likes. One is a full-title, two-bedroom house  with a garden and swimming pool. The other is a sectional-title, two-bedroom  townhouse in a complex with a communal garden and swimming pool. Both  have easy access to the highway.

5.6.1 Explain whether Lindiwe would qualify for a government housing  subsidy. (3) 
5.6.2 Discuss which property would best meet Lindiwe's needs and  circumstances. (5) 

5.7 Discuss why buying is not always better financially than renting. (4 x 2) (8)
5.8 Study the information below and answer the questions that follow. 

A student is renting a small flat that does not have a stove. The student sees the cooking appliance shown below in a store. 

Oven with two plates 
R1 149,00 

Dimensions:  
39 cm (L) x 53 cm (W) x 36 cm (H) 
Mass: 11 kg 

  • Large and small solid plates
  • Independent temperature control switches for oven and plates
  • 1 500 watt oven
  • 30 litre oven capacity
  • Functional heat selector switch  (Bake/Grill/Both)
  • Neon power indicator lamp
  • Accessories: Rotisserie, grill and drip  tray with easy-to-use handle
    1 year guarantee 
 

oven

[Source: www.makro.co.za] 

Evaluate the suitability of this cooking appliance for the student in terms of:

5.8.1 Functionality (2) 
5.8.2 The consumption of human energy (2) 
5.8.3 The consumption of non-human energy (5) 
5.8.4 Conclusion (1) 

[40]

QUESTION 6: ENTREPRENEURSHIP 
6.1 List the information that should appear on a product label. (4)
6.2 List THREE objectives of advertisements. (3)
6.3 Explain the term sustainable production. (3)
6.4 Explain the demand-based pricing strategy OR the premium pricing strategy. (2)
6.5 Read the scenario below and answer the questions that follow. 

Anati started studying at a tertiary institution after school. During the first few  months on campus she noticed that the students often ate sweet treats.  
Having learnt how to make fudge and meringues at school, she decided to  use a section of her mother's kitchen to make fudge and meringues.  She used the kitchen and equipment free of charge, but had to pay a fee for  electricity. Anati used money from her savings account to buy a sugar  thermometer and ingredients to start producing fudge and meringues.  Her father installed more shelves in their storeroom at home to create space  for ingredients and finished products. She had to buy the materials he needed  for the shelves. The ingredients were available at the local supermarket and  she bought sugar in bulk at a discounted price. During weekends there was  a flea market near the local supermarket. 
Anati sold her products on campus. The students liked her products and  asked for a wider variety of sweets, such as nougat and toffees. She attended  a course in sweet making and that helped her to perfect her nougat and toffee  recipes.  
In order to allow herself enough time to study, she produced most of her  products during holidays. After a year Anati found it problematic that there  was such a difference in her income and expenditure during some months.  In December, January, April and July her expenses were much more than her  income and she did not always have enough money to buy ingredients.  In February, March, May, August, September and October she had a high  income and few expenses.

6.5.1 Identify THREE start-up needs for Anati's business in the scenario  above. (3) 
6.5.2 Give THREE guidelines to ensure that Anati's new storage space  will be managed effectively. (3) 
6.5.3 Give THREE requirements that the packaging for Anati's  meringues should adhere to. (3)
6.5.4 Discuss the following factors that Anati considered in her choice of products for her small-scale production business: 

    1. Human skills  (2) 
    2. Consumer appeal   (2) 

6.5.5 Anati sells two blocks of fudge per packet. Use the information  below to calculate the selling price of ONE packet of fudge. Round  off the selling price to the nearest rand. Show ALL calculations.

INFORMATION: 

Cost of ingredients to make one batch of 36 blocks of fudge:  R31,00 
Cost of paper packets: R18,00 for 100 
Cost of electricity: R4,00 per batch of fudge 
Anati wants to make 120% profit. 

(7) 
6.5.6 Explain why there is a difference between Anati's income and  expenditure in the months mentioned in the scenario. (4) 
6.5.7 Advise Anati on how to solve her income and expenditure problem. (4)

[40] 
GRAND TOTAL: 200

GRADE 12 MATHEMATICS
PAPER 1 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

MEMORANDUM

NOTE: 

  • If a candidate answers a question TWICE, only mark the FIRST attempt.
  • Consistent Accuracy applies in all aspects of the marking memorandum. 
QUESTION 1

1.1.1

(x - 3)(x + 1) = 0
x = 3 or x = -1 

✔ answer 
✔ answer 

(2)

1.1.2

√x3 = 512
x3/2 = 512
[x3/2]2/3 = (83)2/3
x = 64
OR
√x3 = 512
x= 262144
x= 218
x = 26
x = 64

✔x3/2
✔(83)2/3
✔ answer  (3) 

 

✔ squaring both  sides 
✔x= 218
✔ answer  (3)

1.1.3

x(x − 4) < 0 
1.1.3
0 < x < 4 OR  x ∈(0; 4) 

✔critical values 
✔inequality or interval  (2)

1.2.1 x2 - 5x  + 2 = 0
x = 5 ± √(-5)2 - 4(1)(2)
                 2(1)
x = 5 ± √17
          2
x = 0,44 or x = 4,56
OR
x2 - 5x + 2 = 0
x2 - 5x = -2
x2 - 5x + [-5/2]2 = -2 + [-5/4]2 
[x - 5/2]= 17/4
x = 5 + √17     or  x =  5 - √17  
         2                           2
x = 0,44 or x = 4,56

✔ subst correct   formula 
✔ answer 
✔ answer (3) 

 

 

✔[x - 5/2]= 17/4
✔ answer 
✔ answer (3)

1.2.2 f(x) = x2 - 5x + 2
x2 - 5x + 2 = c
x2 - 5x + 2 - c = 0
b2 - 4ac < 0
(-5)2 - 4(1)(2 - c) < 0
25 - 8 + 4c < 0
4c < -17
c <  -17 
         4

✔ standard form  
✔b2 - 4ac < 0
✔ substitution 
✔ answer (4)

 1.3 

 x = 2y + 2
x2 - 2xy + 3y2 = 4
(2y + 2)2 - 2y(2y + 2) + 3y2 = 4
4y2 + 8y + 4 - 4y2 - 4y +3y2 = 4
3y2 + 4y = 0
y(3y + 4) = 0
y = 0     or    y = - 4
                            3
x = 2    or      x = - 2
                             3
OR

x = 2y + 2
y = ½x - 1
x2 - 2xy + 3y2 = 4
x2 - 2x[½x - 1] + 3[½x - 1]2 = 4
x2 - x2 + 2x + 3[¼x2 - x + 1] = 4
2x + ¾x2 - 3x + 3 = 4
3x2 - 4x - 4 = 0
(3x + 2)(x - 2) = 0
x = 2    or      x = - 2
                             3
y = 0     or    y = - 4
                            3

 ✔ substitution
✔ simplification
✔ standard form
✔ factors 

✔ y = 0     or    y = - 4
                            3
✔ x-values (ca on  both x-values)  (6)

 

 

 

 

✔ substitution 
✔ simplification 
✔ standard form 
✔ factors 
✔x = 2    or      x = - 2
                             3
✔ y-values (ca on  both y-values) (6)

1.4 S =     6    
      x2 + 2
For S to be a maximum the denominator needs to be at a  minimum.
Minimum of x2 + 2 is 2
Maximum of S =       6    
                            x2 + 2
     6    
        2
= 3

✔ Minimum of  x2 + 2 is 2
✔3    (2)

    [22]
QUESTION 2
2.1

 For geometric:
-¼; b ; -1 ; ....
  b   = -
 -¼       b
b2 = ¼
b = ±½

OR

b = ±√[-¼ ][-1]
b = ±½

✔   b   = -
     -¼       b
✔ b = ½
✔b = -½   (3)


✔b = ±√[-¼ ][-1]
✔ b = ½
✔b = -½   (3)

2.2

-¼ ; ½ ; -1 ; ........
r = -2
T19 = ar18
= [-¼ ][-2]18
= [-  218]
       22
= -216
= - 65536

OR

T19 = ar18
== [-¼ ][-2]18
= [- 218][218]
= -216
= - 65536

✔r = – 2  
✔subst. into correct  formula  
✔–65536 / –216 (3) 

✔r = – 2  
✔subst. into correct  formula  
✔–65536 / –216 (3)

 2.3  The series is: -¼; ½ ; -1 ; 2 ; -4 ; 8 ; ..............
The new positive term series: ½; 2 ; 8 ; 32 ; 128 ; ..................
a = ½         r = 4
nth
OR
etc
✔ a = ½  
✔ r = 4
✔ QUESTION
✔ correct formula (4)
 2.4  No, the series is not convergent
r = 4 and for convergence –1 < r < 1 
✔no
✔reason  (2)
    [12]
QUESTION 3
3.1.1  24  ✔24 (1)
3.1.2

SIX
2a = 3                      3a + b = 0                 a + b + c = 6
a = 3/                      b = - 9/2                       c = 9
Tn3/2 n29/2 n + 9

OR

Tn = T1 + (n - 1)d1 + (n - 1)(n - 2)d2
                                           2 
= 6 + (n - 1)(0) + (n - 1)(n - 2)(3)
                                           2 
= 6 + n2 - 3n + 2  [3]
               1           [2]
= 6 + [3]n2 - 9n + 3
         [2]       2
= 3n2 - 9n + 9
   2       2

✔a = 3/
✔b = - 9/2 
✔c = 9 
✔ Tn3/2 n29/2 n + 9   (4) 

 

 

 

 

✔formula 
✔substitution 
✔simplifying 
✔Tn3/2 n29/2 n + 9   (4) 

3.1.3 3n2 - 9n + 9 = 3249
2       2
3n2 - 9n + 18 = 6498
3n2 - 9n + 6480 = 0
n2 - 3n + 2160 = 0
(n + 45)(n - 48) = 0
n ≠ −45 or n = 48 (4)

✔ equating general  term to 3249 
✔ standard form 
✔ factors 
✔n ≠ −45 or n = 48 (4)

3.2  -1 ; 2sin3x ; 5 ; ............
2sin3x + 1 = 5 - 2sin3x
4sin3x = 4
sin3x = 1
3x = 90º
x = 30º
✔ 2sin3x + 1 = 5 - 2sin3x
✔ sin3x = 1
✔ 3x = 90º
✔ x = 30º  (4)
    [13]
QUESTION 4
4.1 U(1 ; 0)  ✔(1; 0)   (1)
4.2

x =1 
y =1 

✔x =1  
✔y =1 (2) 

4.3   2    +  1 = 0 
x - 1
2 = -x + 1
x = -1
T(-1; 0)

✔ y = 0 
✔x = −1 (2)

4.4 f(x) = log5X
h : x =   logy
y = 5x

✔ change x and y 
✔y = 5 (2)

4.5 y = 0  ✔ answer  (1) 
4.6

V(√2 + 1; √2 + 1)
V(2,41 ; 2,41)

OR

x =    2    + 1 
      x - 1
x2 - 2x = 2 + x - 1
x2 - 2x - 1 = 0
x = 2 ± √4 - 4(1)(-1)
                2
=2 ± √8
     2
= 2 ± 2√2
       2
= 1 ± √2
V(1 + √2 ; 1 + √2)

OR

x - 1 =   2     
          x - 1
(x - 1)2 = 2
x = 1 ± √2
V(1 + √2 ; 1 + √2)

 ✔✔2 +1 

✔✔2 +1   (4) 

 

✔ x =    2    + 1 
           x - 1

✔ subs into correct formula

 

✔ x = √2 + 1
✔ y = √2 + 1

 


✔x - 1 =   2     
             x - 1
✔ (x - 1)2 = 2
✔ x = 1 + √2
✔ y = 1 + √2    (4)

4.7 T' (3; 2)

✔x = 3 
✔y = 2 (2)

    [14]
QUESTION 5
5.1.1  C(0 ; –3)   ✔ C(0 ; –3) (1)
5.1.2 f(x) = x2 - 2x -3
(x - 3)(x + 1) = 0
x = -1    or    x = 3
AB = 3 - (-1)
AB = 4 units

✔ factors 
✔ x-value 
✔ other x-value 
✔ answer (4)

5.1.3 x =   2                        or             2x - 2 = 0               or     x = -1 + 3
      2(1)                                                                                      2
= 1
y = (1)2 - 2(1) - 3
= -4
D(1 ; -4)

✔x = 1 
✔ y value (2)

5.1.4  C(0 ; -3)      D(1 ; -4)
Average gradient
= -4 + 3        or      -3 + 4 
    1 - 0                    0 - 1
= -1
-4 + 3        or      -3 + 4 
    1 - 0                    0 - 1
✔ -1
5.1.5

OC = OB = 3 
OCB= 45º
isosceles right angled triangle

OR

tan β = mg
tan β = 1
β = 45º
OBC = 45º
OCB = 45º

✔equal lengths 
✔45º (2) 
✔tanβ =1 
✔45º (2)

5.1.6 − 4 < k < −3 OR (–4 ; –3)

✔–4 
✔ –3 
✔ notation (3)

5.1.7 f'(x) . f''(x) > 0
(2x - 2) . 2 > 0
2x − 2 > 0
x > 1

✔2x − 2 
✔ 2 
✔x > 1 (3)

5.2 new graph
f(x) = a(x - 1)(x - 5)
4 = a(3 - 1)(3 - 5)
4 = -4a
a = -1
f(x) = -x2 + 6x - 5

TP 
✔ x = 3  
✔ y = 4 

✔ x – intercepts 
✔ y-intercept 
✔ shape (5)

    [22]
QUESTION 6
6.1.1 A = 150 000(1 - 0,2)2
= R96 000

✔ n = 2 
✔ 150 000 in correct formula
✔ 96 000 (3)

6.1.2

150 000(1 - 0,2)n = 49152
(0,8)n = 1024  
             3125
n log (0,8) = log 1024  
                           3125
n = 5 
The machine will need to be replaced at the beginning of 2020

OR

150 000(1 - 0,2)n = 49152
(0,8)n = 1024  
             3125

n = log 0.8  1024  
                  3125
n = 5 
The machine will need to be replaced at the beginning of 2020

✔150 000(1 - 0,2)n = 49152
✔n log (0,8) = log 1024  
                             3125
✔n = 5 
✔ 2020 (4) 

 

 

✔150 000(1 - 0,2)n = 49152
✔n = log 0.8  1024  
                    3125
✔n = 5 
✔ 2020 (4)

6.1.3 R280 000 - R49 152
= R230 848
question 223
x = R9 383,26

✔ R230 848 
✔ i =  0,085  = 0,02125 and n = 20 
             4 
✔ subs into correct formula 
✔ R 9 383,26  (4)

6.2  6.2 q
= R791 837,43
Lerato qualifies for a loan of R791 000 under the given conditions

✔ i = 0,11
          12 
✔ n = 180 
✔ substitution correct formula
✔R791 837,43 
✔ R791 000 (5) 

 

    [16]

QUESTION  7 
PENALISE ONLY ONCE for incorrect notation in this question.

7.1  f(x + h) = (x + h)2 - 5 = (x2 + 2xh + h2) - 5
= x2 + 2xh + h2 - 5 
f(x + h) - f(x) = x2 + 2xh + h2 - 5 - (x2 - 5)
= 2xh + h2 
lim 1
OR
lim 2

 

 

 

 

 

✔simplifying 
✔formula 
✔subst. into formula 
✔factorisation 
✔answer   (5) 

 

 

 

 

✔formula 
✔subst. into formula 
✔simplifying 
✔factorisation 
✔answer   (5)

7.2 g(x) = 5x2 - 2x
                   x3
= 5x2 - 2x-2
g'(x) = 10x + 4x-3
=10x +
           x3
✔  5x2 - 2x-2
✔ 10x 
✔ 4x-3 or    4         (3)    
                  x3
7.3  h(x) = ax2 , x > 0
h-1 : x = ay        y > 0
y = √x/a
h-1 (8) = √8/a
h'(x) = 2ax
h' (4) = 2a(4)
= 8a
 √8/= 8a
64a2 =  8/a

a3 = 1/8
a = 1/2
✔ y = √x/a
✔ √8/
✔ h' (4) = 8a
✔ √8/= 8a
✔ a3 = 1/8
✔ a = 1/2    (6)
     [14]
QUESTION 8
8.1 f'(x) = 0
6x2 - 10x + 4 = 0
3x2 - 5x + 2 = 0
(3x - 2) (x - 1) = 0
x = 2/                         or            x = 1
y = 2[2/]3 - 5[2/]2 + 4[2/]        y = 2(1)3 - 5(1)2 + 4(1)
y = 28/27           or y = 1
Turning points are :  [ 2  28 ]     and [1 : 1]
                                 [ 3     27]

✔ derivative
✔ derivative = 0
✔ factors
✔ x-values
✔ y-values (5)

8.2

2x3 - 5x2 + 4x = 0
x(2x2 - 5x + 4) = 0
x = 0           or        x = 5 ± √25 - 4(2)(4)
                                             4
=  5 ± √-7
       4
No real roots
OR
2x3 - 5x2 + 4x = 0
x(2x2 - 5x + 4) = 0
x = 0           or     b2 - 4ac = 25 - 4(2)(4)
= -7 < 0
No real roots

✔ x(2x2 - 5x + 4) = 0
✔ x = 0 
✔   5 ± √-7     (3)
          4
✔ x(2x2 - 5x + 4) = 0
✔ x = 0
✔  b2 - 4ac  < 0     (3)
8.3 f(x) = 2x3 - 5x2 + 4x
x(2x2 - 5x + 4) = 0
8.3 q

✔(0 ; 0) 
✔turning points 
✔shape (3)

8.4

f(x) = 2x3 - 5x2 + 4x
f'(x) = 6x2 - 10x + 4
f''(x) = 12x - 10
f''(x) > 0
12x - 10  > 0 
x > 5/6

OR

x = 
      3a
x = -  (-5)  
        3(2)

x > 5/6

The function is concave up for x > 5/since  a > 0

OR

Point of inflection:  x = 2/3 + 1
                                         2
x > 5/6

The function is concave up for x > 5/since  a > 0

✔ 12x - 10 
✔ f''(x) > 0
✔ answer (3)

 

 

 

 

✔ x = -  (-5)  
            3(2)
✔ x > 5/6
✔  f''(x) > 0   (3)

 

 

✔ x = 2/3 + 1
              2
✔ x > 5/6
✔  f''(x) > 0   (3)

    [14]
QUESTION 9
9 Length of one side of the square
=x/4
Length of the rectangle
2L + x + x/4 = 6
L = 6 - 5x/4
         2
= 24 - 5x
        8
A = [x]2 + x[24 - 5x]
      [4]      4     8
x2 + 24x - 5x2
   16          32
= 24x - 3x2
        32
A = 24x - 3x2
            32
For minimum area dA = 0
                              dx
dA    =  24  - 6x
dx             32
6x = 24
x = 4

✔ x/4
✔  6 - 5x/4       or     [24 - 5x]
         2                       8
✔ [x/4 ]2
✔ x[24 - 5x]
    4[    8     ]

 

 


✔ dA = 0
    dx
✔  24  - 6x
          32
✔ x = 4         (7)

    [7]
QUESTION 10
10.1.1  P(S and T) = P(S) + P(T)
1/6 = [1/4] × P(T)
P(T) =  2/3

✔P(S and T) = P(S)×P(T)
✔ P(T) =  2/(2)

10.1.2  P(S or T) = P(S) + P(S and T)
= [1/4] + [2/3] - [1/6]

✔  [1/4] + [2/3] - [1/6]
✔  ¾

10.2.1

5! 
= 120

✔ 5 
✔ 5! or 120 (2)

10.2.2

55 
= 3125 

✔55 or 3 125  (1)

10.3 n(E) =  5! ×2! × 2! 
n(S) =  7! 
P(E) =  5! ×2! × 2! 
                  7! 
=    
   21

✔5! 
✔2! × 2! 
5! ×2! × 2! 
         7! 
✔  2    (4) 
    21

    [11]
QUESTION 11
11

11 Q
P(Win) = P(F and W) + P(not F and W) 
= 0,7 × 0,85 + 0,3 × 0,45 
= 0,595 + 0,165 
= 0,76 
= 76% 
= 19/25

✔ 0,3
✔ P(F and W) = 0,7 × 0,85 
= 0,595 
✔ P(not F and W)  
 = 0,3 × 0,45 
 = 0,165 
✔ 0,595 + 0,165 
✔ 0,76 / 76% / 19/25  (5)

    [5]
    [150]

 

GRADE 12 MATHEMATICS
PAPER 2 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

NOTE: 

  • If a candidate answered a question TWICE, mark only the FIRST attempt.
  • If a candidate has crossed out an attempt to answer a question and did not redo it, mark the  crossed-out version.
  • Consistent accuracy applies in ALL aspects of the marking memorandum. Stop marking at the  second calculation error.
  • Assuming answers/values in order to solve a problem is NOT acceptable. 

MEMORANDUM

QUESTION 1 
Ogive  
P2 1

An incomplete frequency table is also given for the data. 

Amount of money (in R)   10 ≤ x < 20  20 ≤ x < 30  30 ≤ x < 40 40 ≤ x < 50   50 ≤ x < 60
 Frequency  13  20  b

 

1.1 

65 learners

✔ answer (1)

1.2 

Modal class: 30 ≤ x < 40

✔ answer (1)

1.3 

a = 12 
b = 61 – 45 
 = 16

✔ answer 
✔ answer (2)

1.4 

No. of learners = 65 – 54 OR 65 – 55 
                        = 11                 = 10  Answer only: full marks

✔ 54 or 55 
✔ 11 or 10 (2) 

[6]

QUESTION 2 
2.1 P2 2

2.1.1 

IQR of Class B/IKV van Klas B = Q3 − Q1 

 = 72 – 51 

 = 21 marks/punte

✔72 and 51  
✔ 21 only  (2)

2.1.2 

Although the boxes contain the same number of data points, the  marks for Class A are more widely spread
OR
Although the boxes contain the same number of data points, the  marks for Class B are more clustered.

✔✔ Class A is more widely  spread (2) 
✔✔ Class B is   more clustered (2)

2.1.3 

Medians are the same
Ranges are the same OR Maximum and minimum values are the  same
75% of both classes obtained 51 and above

✔✔any TWO  of the 3  reasons  mentioned (2)

2.2 

COUPLE

8

JUDGE 1 

18 

12 

10 

14

JUDGE 2

15 

14 

15

 

2.2.1 

a = –0,03 
b = 0,93 
yˆ= –0,03 + 0,93x

✔ value a 
✔ value b 
✔ equation  (3)

2.2.2

yˆ= –0,03 + 0,93(15) 
 = 13,92 OR 13,85 
 ≈ 14

✔ substitution 
✔ answer  (2)

2.2.3 

Yes OR they are consistent, because r = 0,9. (r = 0,89567…)

✔ statement 
✔ r = 0,9 (2) 

[13]

QUESTION  3 
P2 3

3.1

mTQ = 4 - 0
            0 - 3
= - 4/3

✔ answer (1)

3.2

d = √(x2 - x1)2 + (y2 - y1)2
RQ = √(10 − 3)2 + (7 − 0)2 
RQ = √98 = 7√2

✔substitution
✔ answer in surd form   (2)

3.3

mFQ = mTQ
− 8  = − 
k - 3      3

4k −12 = 24 
k = 9 
OR
mFT = mQT
− 8 - 4 =   − 
   k - 0          3
-36 = -4k
k = 9
OR
Equation of TQ: y =  - 4 x  + 4 
                                   3
− 8 = − 4k + 4
            3 
 k = 9

✔ equating gradient
✔ mFQ =  − 8  
               k - 3 
✔ simplification
✔ answer  (4) 

 

 

 

✔ gradient 
✔ equation of TQ 
✔ substitution of (k ; - 8) 
✔ answer  (4)

3.4

Using transformation:
∴S(7 ; 11) 
OR
Midpoint of TR = midpoint of SQ [diag ||m] 
Midpoint of TR = (5 ; 11/2
xS + 3 = 5 and  yS + 0 = 11
     2                        2        2
∴ xS = 7 and yS = 11
∴ S(7 ; 11)
OR
Equation of TS:  y  = [ 7 - 2]x + 4 = x + 4
                                 [10 - 5]
Equation of RS: y - 7 =  - 4(x - 10)
                                        3
y = - 4x  + 61 
        3        3
x + 4 = - 4x  +  61
               3        3
7x = 49
x = 7
∴ y = 11
∴ S(7 ; 11)

✔✔ x–value
✔✔ y–value  (4) 

 


✔ x–value
✔ y–value 
✔ x–value
✔ y–value (4) 

 


✔ equations of TS and RS
✔ equating 
✔ x–value
✔ y–value (4)

 3.5

 TSR = TQR   [opp∠ s of ΙΙ]
TQR = ∝ - β
tan ∝ = mTQ =  - 4
                           3 
∴  ∝ 180º -  53,13º = 126,87º
tan β = mRQ = 7 = 1
                        7
∴  β = 45º
TQR = 126,87º - 45º
=81,87º
TSR = 81,87º

OR

 TQ = SR = 5
TR = √100 + 9 = √109
RQ = TS = √49 + 49 = √98
cosRQT = cosTSR = TQ2 + RQ2 -TR2
                                       2.TQ.RQ
= 25 + 98 - 109 
       2(5)(√98)
=0,141.....
RQT = TSR =  81,87º

✔TQR = α −β
✔ tanα = mTQ 
✔ α 

✔ tan β = mRQ
✔β 
✔ answer (6)

 

 

 

 

✔ length of TQ OR SR 
✔ length of TR 
✔ length of RQ OR TS 
✔ correct subst into cosine rule 
✔simplification 
✔ answer (6)

3.6.1 MQ = √(5 - 3)2 + (2 - 0)2
MQ = √8
MQ √8 
RQ     √98
=2/7   OR 0,29  
Answer only; full marks

✔substitution
✔MQ= √8 = 2√2
✔ answer (3)

3.6.2

area of ΔTQM = ½.QM. ⊥h    [⊥h same]
area of Δ TQR = ½.QR. ⊥h 
=QM = 2
  QR    7
      area of ΔTQM       =     area of ΔTQM
area of parm RQTS            2 × area of Δ TQR
= 1 [2] =
   2 [7]     7

OR

area of ΔTQMQM
area of Δ TQR = QR
=2
  7
      area of ΔTQM       =     area of ΔTQM
area of parm RQTS            2 × area of Δ TQR
= 1 [2] =
   2  7     7

OR

      area of ΔTQM       =    ½.QM. ⊥h   
area of parm RQTS             RQ. ⊥h 
= 1 [2] =
   2 [7]     7

OR

      area of ΔTQM       =    ½.QT.QM. sin(α - β)
area of parm RQTS            2area of ΔQTR
½.QT.QM. sin(α - β)
   2[½.QT.QM. sin(α - β)]
= 1 [2] =
   2  7     7

✔ area of ΔTQM  2  
   area of Δ TQR      7
✔ area of parm RQTS    =  2 × area of Δ TQR
✔ answer  (3)

 

 

 

 

 


✔ area of ΔTQM  2  
    area of Δ TQR     7
✔ area of parm RQTS    =  2area of Δ TQR
✔ answer  (3)

 

✔ ½.QM. ⊥h   
      RQ. ⊥h 
✔  1 [2
     2 [7]
✔answer (3)

✔ area of parm RQTS    =  2area of Δ TQR
✔  ½.QT.QM. sin(α - β)
   2[½.QT.QM. sin(α - β)]
✔ answer (3)

[23]

QUESTION 4  
P2 4

QUESTION 6

4.1 

line from centre to midpt of chord

✔ answer (1)

4.2

mST = 8 - 5
          -3 - 0
-1
mST × mNP= −1                        [TS ⊥ NP] 
∴ mNP= 1
∴y = x + c 
8 = –3 + c    
c = 11
y = x +11
OR
y − y1 = 1(x − x1
y − 8 =1(x + 3) 
y = x +11
∴y = x +11 

✔ subst (–3 ; 8) and  (0 ; 5) into gradient formula
✔mST 
✔mNP 
✔ subst (–3 ; 8) into   equation of a line 
✔ equation  (5)

4.3 

P(0 ; 11)        [y-intercept of chord NP] 
∴ radius is 6 units 
R(0 ; –1)  
Equations of the tangents to the circle parallel to the x-axis
y =11  and y = −1

✔ coordinates of P 
✔ coordinates of R 
✔✔ answers (4)

4.4 

M(–11 ; 0)        [x–intercept of NP]
MT = √(0 −11)2 + (5 − 0)2 
MT= √146= 12,08

✔✔ coordinates of   M 
✔ substitution 
✔ answer (4)

4.5 MT = diameter [conv ∠ in ½ circle]
radius = √146  units
                 2
Centre of circle
= midpoint MT
=[ -11 ; 5]
  [  2    2 ] 
Equation of circle through S, T and M:
=[ x   + -11 ]2 + [ x -  5 ]= 146
  [           2  ]      [     2]        4
OR
=[ x   + 5½ ]2  + [ x -  2½]= 73
                                             2
=6,04

✔ radius of circle 
✔ x value of M 
✔ y value of M 
✔ LHS of equation
✔ RHS of equation (5) 

    [19]
QUESTION 5
5.1

a = −1  
b = 2

✔ answer 
✔ answer (2)

5.2

f(3x)= – sin 3x 
Period of f(3x) = 360º
                            3
 = 120º
Answer only: Full marks

360º
     3 
✔ answer (2)

5.3

x ∈ [90º ; 135º) ∪ {180º}  
OR
90º ≤ x < 135º or x = 180º

✔ 90º and 135º in interval form
✔ 180º as single 
 value 
✔ correct brackets (3) 
✔ 90º and 135º  in interval form
✔ 180º as single  value 
✔ correct   inequalities (3) 

    [7]
QUESTION 6
6.1.1 sin (360º – 36º) = – sin 36º ✔ answer (1)
6.1.2

cos 72º = cos(2×36º) 
 =1− 2sin2 36º
Answer only: Full marks

✔ double angle
✔answer  (2)

6.2

R.T.P.: 1 -    tan2θ    = cos2θ
                1 + tan2θ
LHS = 1 + tan2θ - tan2θ
             1 + tan2θ
=          1                     
     1 + sin2θ/cos2θ
            1              
    [cos2θ + sin2θ]
    [       cos2θ      ]
=        1       
    1/cos2θ
= cos2θ
= RHS

OR

LHS = 1 + tan2θ - tan2θ
             1 + tan2θ
=          1                     
     1 + sin2θ/cos2θ
          1             ×   cos2θ
  [   1 +  sin2θ     ]       cos2θ
  [     cos2θ         ]
             cos2θ          
     cos2θ    +    sin2θ
=  cos2θ
         1
=RHS

OR

 LHS = 1 - [sin2θ   ÷    (1   +  sin2θ)]
                 [cos2θ        (       cos2θ)]
= 1 - [sin2θ  ×          cos2θ       ]
        [cos2θ      cos2θ + sin2θ  ]
= 1 - [sin2θ  ×          cos2θ       ]
        [cos2θ                  1         ]
= 1 -   sin2θ
=  cos2θ 
= RHS

✔writing as a single fraction
✔ quotient identity
✔denominator as a single fraction
✔square identity/vierkantidentiteit (4) 

 

 

 

 

 

 

 

 

 

✔writing as a single fraction
✔quotient identity
✔ ×   cos2θ
         cos2θ
✔ square identity (4) 

 

 

 

 

 

 

✔ quotient identity
✔ writing as a single fraction
✔square identity
✔simplification(4)

6.3

cos2½x = ¼
cos2½x = ½  or -½ 
½ x = 60º + k.360º                 or      ½ x = 300º  + k.360º  
OR
½ x = 120º + k.360º               or     ½ x = 240º  + k.360º  
x = 120º + k.720º                   or      x  =  600º  + k.720º    
OR
x = 240º  + k.720º                  or      x  = 480º + k.720º;   k ∈ Z

OR
cos2½x = ¼
cos2½x = ½  or -½ 
½ x = ± 60º + k.360º    or      ½ x = ±120º + k.360º  
x =  ±120º + k.720º         or      x =  ±240º  + k.720º   ; k ∈ Z

✔✔ cos2½x = ¼
✔ 60º and 300º
✔120º and 240º
write at least one general  solution as ½ x = ∠ + k.360º  
✔ write at least one general solution as x = ∠ + k.720º;   k ∈ Z  (6)
✔✔ cos2½x = ¼
✔ ± 60º
✔ ±120º
✔ write at least one general solution as ½ x = ∠ + k.360º  
✔ write at least one general  solution as x = ∠ + k.720º;   k ∈ Z  (6)

6.4.1

sin(A −B)= cos[90º − (A − B)]
 = cos[(90º − A) − (−B)]
 = cos(90º − A)cos(−B) + sin(90º − A)sin(−B)
=sin AcosB+ cos A(−sinB)
 =sin AcosB− cos AsinB 

OR

sin(A −B)= cos[90º − (A − B)]
 = cos[(90º + B) − A]
 = cos(90º + B)cosA + sin(90º + B)sinA
= − sinBcosA + cosBsinA
 =sin AcosB− cos AsinB

✔ co–ratio
✔ writing as a difference of A & B
✔ expansion
✔ all reductions (4) 

 


✔ co–ratio
✔ writing as a difference of A & B
✔ expansion
✔ all reductions (4)

6.4.2 sin(x  + 64º)cos(x + 379º) + sin(x + 19º)cos(x + 244º)
= sin(x + 64º)cos(x + 19º) + sin(x + 19º)[-cos(x + 64º)]
= sin(x + 64º)cos(x + 19º) - cos(x + 64º)sin(x + 19º)
= sin[x + 64º - (x + 19º)]
= sin 45º
 1  
    √2

✔cos(x + 379º) = cos(x +19º)
✔✔cos(x + 244º) = −cos(x + 64º)
✔✔compound formula identity
✔ sin 45º (6) 

    [23]

QUESTION 7
P2 7

7.1

sin 27º =    CD  
                  8,6 
CD = 8,6sin 27º
CD = 3,90 m

✔ substitution in correct trig ratio 
✔ answer     (2)

7.2

cos 40º =   10  
                  AE 
AE  =    10       
          cos40º 
AE =13,05m

✔substitution in correct trig ratio 
✔ answer (2)

7.3

AC2 = CE2 +  AE2 - 2CE.AE(cos AEC)
=  (8,6)2 + (13,05)2 - 2(8,6)(13,05)(cos70º) 
 =167,49 
AC=12,94 m

✔ correct use of cosine rule in ΔACE
✔ correct subst into cosine rule 
✔AC2 
✔ answer  (4) 

 

    [8]

QUESTION  8  
P2 8

8.1

ˆQ = 72°           [opp ∠s of cyclic quad] 

✔ S
✔ R   (2)

8.2

R2 = P      [∠s opp equal sides]
R2 = 180° - 72°  [sum of ∠s in ∆]
               2
=54°

✔ S/R 
✔ answer (2)

8.3

P2 = 42°
[tan chord theorem] 

✔ S
✔ R (2)

8.4

R3 = P1 + P2
 [ext ∠ of cyclic quad] 
= 54° + 42° 
 = 96° 

OR 

R1 =180° −108° − 42° = 30° 
[sum of ∠s/e in ∆] 
R3 = 180° - R1 - R2
[∠s on str line] 
= 180° – 30° – 54°
[sum of ∠s/e in ∆] 
= 96°

✔ R 
✔ S  (2) 

✔ R1 = 30° 
✔ S (2) 

 

    [8]

QUESTION 9 
P2 9
 

9.1.1

ST = SW [prop theorem ; TW || QP] 
TQ    WP
 = 2/3

✔ S 
✔ S (2)

9.1.2

SV = SW
VR    WP 
[prop theorem ; VW || RP]  
= 2/3

✔ answer (1)

9.2

ST= SV [both equal  WS /PW 
TQ  VR  [line divides 2 sides of ∆ in prop]
∴ TV || QR
∴T1 = Q1 = [corresp∠s/e; TV || QR]

✔ S 
✔ S ✔ R 
✔ R (4)

9.3 

ΔVWS ||| ΔRPS 

✔ ΔRPS (any order) (1)

9.4

WV  = SW    [ ΔVWS ||| Δ RPS]  OR     WV  = SV      [ ΔVWS ||| Δ RPS]
= 2/5                                                                            = 2/5

✔ ratio 
✔ answer (2) 

    [10]

QUESTION 10 
10.1 P2 10

 10.1 

Constr : 
Draw line PO and extend
Proof : 
OP = OA [radii] 
∴ P1 =  A   [∠s opp = sides] 
but   O1 = P1 + A  [ext ∠ of Δ] 
∴ O1 =  2P1
Similarly,  O2 = 2P2 
∴ O1 + O2 = 2(P1 + P2)
ie: AOB = 2APB

✔ construction 
✔ S/R 
✔ S/R 
✔ S 
✔ S (5)

10.2 P2 10.2

10.2.1 

∠s in the same segment

✔ R (1)

10.2.2

P2 = S1 = y        [∠s opp equal sides]
S1 = P3 = y       [tan chord theorem]
∴ P2 = P3
∴ PQ bisects TPS

✔ S ✔ R 
✔ S ✔R  (4)

10.2.3

POQ = 2S1 = 2y
[∠at centre =2×∠at circ] 

✔ S ✔ R (2)

10.2.4

TPA = P2 + P3 = 2y   [proved in 11.2.2]
∴TPA = POQ             [proved in 11.2.3]
∴ PT = tangent          [converse tan chord theorem]

✔TPA = POQ 
✔ R  (2)

10.2.5

OPQ + OQP = 180º - 2y    [sum of∠ s/e in Δ]
∴ OQP = 90º -y  [∠ s opp equal sides; OP = OQ]
In ΔPAQ:
OQP + P2 + QAP =  180º
90º - y + y + QAP =   180º  [sum of∠ s/e in Δ]
∴ QAP =  90º   [∠ s/e on straight line]

OR

OTP =  90º   [radius ⊥ tangent]
∴ P1 =  90º   - 2y 
P1 + O + OAP =  180º [sum of∠ s/e in Δ]
(90º - 2y) + 2y + OAP =  180º
∴ OAP =  90º 

OR

POSQ is a kite
∴ OQ ⊥ PS   [diag of a kite]
∴ QAP =  90º 

OR

In ΔOAP and ΔOAS
OP = OS [radii]
OA is common
POA = 2y
= 2P2
= QOS
ΔOAP = ΔOAS(SAS)
OAP = OAS (ΞΔs)
OAP = OAS = 90º  [∠ s on straight line]

✔ S  
✔ S ✔ R 
✔ S 
✔ S  (5) 

✔ S ✔ R 
✔ S 
✔ S 
✔ S (5) 

✔✔✔ S 
✔✔ R (5) 

✔ S 
✔ S 
✔ S 
✔ R 
✔ S   (5) 

    [19]

QUESTION 11  
P2 11

11.1

N2 = 90° [∠ in semi-circle] 
∴ TPLN is a cyclic quad [opp ∠s of quad is suppl]

OR 

N= 90° [∠ in semi-circle] 
∴ TPLN is a cyclic quad [ext ∠ = int opp ]

✔ S ✔ R  
✔ R (3) 

✔ S ✔ R
 ✔ R (3)

11.2

T2 = PLN = x  [ext ∠ of cyclic quad] 
K = 90° − x  [sum of ∠s/e in ∆] 
N1 = K = 90º  - x    [tan chord theorem] 

OR

K = 90° − x  [sum of ∠s/e in ∆] 
N1 = K = 90º  - x    [tan chord theorem] 

OR 

N3 = x   [tan chord theorem] 
N2 = 90°  [∠in semi circle] 
N1 = 90° − x  [straight line]

✔ R  
✔ S ✔ R (3) 

✔ R  
✔ S ✔ R (3) 

✔ R  
✔ S 
✔ S  (3)

11.3.1

In ΔKTP and ΔKLN: 
PKT = LKN                [common] 
KPT = KNL = 90°       [given] 
∴ Δ KTP | | | Δ KLN [∠∠∠] 

OR

In ΔKTP and ΔKLN: 
PKT = LKN                 [common] 
 KPT = KNL = 90°       [given] 
T2 = PLN = x            [proved in 11.2 OR sum of ∠s in ∆]
∴ Δ KTP | | | Δ KLN

✔ S 
✔ S 
✔ R (3) 

✔ S 
✔ S 
✔ S (3)

11.3.2

KTKP               [||| Δs] 
KL     KN 
∴KT . KN = KP . KL 
But KL = 2KP           [radii: PK = LP] 
∴KT . KN = KP . 2KP 
 = 2KP2 
 = 2(KT2– TP2) [Theorem of Pythagoras] 
= 2KT2 − 2TP2

✔ S/R 
✔ S 
✔ S 
✔ S 
✔ S (5) 

    [14]
TOTAL [150]

GRADE 12 MATHEMATICS
PAPER 2 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

INSTRUCTIONS AND INFORMATION 
Read the following instructions carefully before answering the questions. 

  1. This question paper consists of 11 questions.
  2. Answer ALL the questions in the ANSWER BOOK provided.
  3. Clearly show ALL calculations, diagrams, graphs et cetera that you have used in determining your answers.
  4. Answers only will not necessarily be awarded full marks.
  5. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
  6. If necessary, round off answers to TWO decimal places, unless stated otherwise.
  7. Diagrams are NOT necessarily drawn to scale.
  8. An information sheet with formulae is included at the end of the question paper.
  9. Write neatly and legibly. 

QUESTIONS

QUESTION 1 
The amount of money, in rands, that learners spent while visiting a tuck shop at school on a specific day was recorded. The data is represented in the ogive below.
ogive
An incomplete frequency table is also given for the data. 

Amount of money (in R)   10 ≤ x < 20  20 ≤ x < 30  30 ≤ x < 40 40 ≤ x < 50   50 ≤ x < 60
 Frequency  13  20  b

1.1 How many learners visited the tuck shop on that day? (1)
1.2 Write down the modal class of this data. (1)
1.3 Determine the values of a and b in the frequency table. (2)
1.4 Use the ogive to estimate the number of learners who spent at least R45 on the day the data was recorded at the tuck shop. (2)

[6]

QUESTION 2 
2.1 Mrs Smith has two classes, each having 30 learners. Their final marks (out of 100) for the year are represented in the box and whisker diagram below. 
class a and b

2.1.1 Determine the interquartile range of Class B. (2)
2.1.2 Explain the significance in the difference of the length of the boxes in the diagram. (2)
2.1.3 Mrs Smith studied the results and made the comment that there was no significant difference in the performance of the two classes. Give TWO reasons you think Mrs Smith will use to prove her statement. (2)

2.2 Eight couples entered a dance competition. Their performances were scored by two judges. The scores (out of 20) are given in the table below. 

COUPLE    1  2  3  6 8
JUDGE 1   18  4  6  8  5  12  10 14
JUDGE 2   15  6  3  5  5  14  8 15

2.2.1 Determine the equation of the least squares regression line of the scores given by the two judges. (3) 
2.2.2 A ninth couple entered late for the competition and received a score of 15 from JUDGE 1. Estimate the score that might have been assigned by JUDGE 2 to the nearest integral value.  (2)
2.2.3 Are the judges consistent in assigning scores to the performance of the couples? Prove your answer and support it with relevant statistics. (2)

(13) 

QUESTION 3 
In the diagram, Q(3;0), R(10 ; 7), S and T(0; 4) are the vertices of parallelogram QRST. From T a straight line is drawn to meet QR at M(5; 2). The angles of inclination of TQ and RQ are a and β respectively. 
3

3.1 Calculate the gradient of TQ.  (1)
3.2 Calculate the length of RQ. Leave your answer in surd form. (2)
3.3 F(k ; -8) is a point in the Cartesian plane such that T, Q and F are collinear. Calculate the value of k. (4)
3.4 Calculate the coordinates of S. (4)
3.5 Calculate the size of TSR. (6)
3.6 Calculate, in the simplest form, the ratio of: 

3.6.1  MQ      (3)
          RQ 
3.6.2           area of ΔTQM                            (3)
          area of parallelogram RQTS

[23]

QUESTION 4 
In the diagram, the circle, having centre T(0; 5), cuts the y-axis at P and R. The line through P and S(-3; 8) intersects the circle at N and the x-axis at M. NS = PS. MT is drawn. 
4

4.1 Give a reason why TS ⊥ NP.   (1)
4.2 Determine the equation of the line passing through N and P in the form y = mx +c. (5) 
4.3 Determine the equations of the tangents to the circle that are parallel to the x-axis.  (4)
4.4 Determine the length of MT. (4)
4.5 Another circle is drawn through the points S, T and M. Determine, with reasons, the equation of this circle STM in the form (x - a)2 +(y - b)2 =r2. (5)

[19]

QUESTION 5 
In the diagram, the graphs of the functions f(x)= a sin x and g(x) = tan bx are drawn on the same system of axes for the interval 0º ≤ x ≤ 225º. 
5

5.1 Write down the values of a and b. (2)
5.2 Write down the period of f(3x).   (2)
5.3 Determine the values of x in the interval 90º ≤ x ≤ 225º for which f(x).g(x) ≤ 0.  (3)

[7]

QUESTION 6 
6.1 Without using a calculator, determine the following in terms of sin 36º: 

6.1.1 sin 324º     (1)
6.1.2 cos 72º      (2)

6.2 Prove the identity:    1 - tan2θ   = cos2θ                 (4)
                                     1 + tan2θ
6.3 Use QUESTION 6.2 to determine the general solution of: 
    1 - tan2½x      =   1/4
   1 + tan2½x                                    (6)
6.4 Given: cos(A - B) = cosAcosB + sinAsinB 

6.4.1 Use the formula for cos(A - B) to derive a formula for sin(A - B). (4)
6.4.2 Without using a calculator, show that 
sin( x + 64º) cos( x + 379º) + sin(x+19º) cos(x +244º) = 1/√2
for all values of x.     (6)

[23]

QUESTION 7 
In the diagram, B, E and D are points in the same horizontal plane. AB and CD are vertical poles. Steel cables AE and CE anchor the poles at E. Another steel cable connects A and C. CE = 8,6 m, BE = 10 m, AÊB = 40º, AÊC = 70º and CÊD = 27º. 
7
Calculate the: 

7.1 Height of pole CD (2)
7.2 Length of cable AE (2)
7.3 Length of cable AC (4)

[8]

Give reasons for ALL statements and calculations in QUESTIONS 8, 9, 10 and 11. 
QUESTION 8 
In the diagram, PQRS is a cyclic quadrilateral. ST is a tangent to the circle at S and chord SR is produced to V. PQ = QR, Ŝ= 42º and Ŝ2 = 108º. 
8
Determine, with reasons, the size of the following angles: 

8.1  Q     (2)
8.2 R2    (2)
8.3 P   (2) 
8.4 R   (2)

[8]

QUESTION 9 
In the diagram, PQRS is a quadrilateral with diagonals PR and QS drawn. W is a point on PS. WT is parallel to PQ with T on QS. WV is parallel to PR with V on RS. TV is drawn. PW: WS = 3:2. 
9

9.1 Write down the value of the following ratios: 

9.1.1  ST      (2)
          TQ 
9.1.2  SV      (1)
          VR 

9.2 Prove that T1 = Q1.  (4)
9.3 Complete the following statement: ΔVWS ||| Δ ...  (1)
9.4 Determine WV: PR. (2)

[10]

QUESTION 10 
10.1 In the diagram, O is the centre of the circle and P is a point on the circumference of the circle. Arc AB subtends AÔB at the centre of the circle and APB at the circumference of the circle. 
10.1
Use the diagram to prove the theorem that states that AÔB = 2APB. (5)
10.2 In the diagram, O is the centre of the circle and P, Q, S and R are points on the circle. PQ = QS and QŘS = y. The tangent at P meets SQ produced at T. OQ intersects PS at A. 
10.2

10.2.1 Give a reason why P2 = y   (1)
10.2.2 Prove that PQ bisects TPS.   (4)
10.2.3 Determine POQ in terms of y.   (2)
10.2.4 Prove that PT is a tangent to the circle that passes through points P, O and A.  (2)
10.2.5 Prove that OẬP = 90º.  (5)

[19]

QUESTION 11 
In the diagram, LK is a diameter of the circle with centre P. RNS is a tangent to the circle at N. T is a point on NK and TP ⊥ KL. PLN = x. 
11

11.1 Prove that TPLN is a cyclic quadrilateral.  (3)
11.2 Determine, giving reasons, the size of Ñ1 in terms of x.  (3)
11.3 Prove that: 

11.3.1 ΔKTP ||| ΔKLN    (3)
11.3.2 KT. KN = 2KT2 – 2TP2  (5) 

[14]
TOTAL: 150 

maths info sheet p2

GRADE 12 MATHEMATICS
PAPER 1 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2017

INSTRUCTIONS AND INFORMATION 
Read the following instructions carefully before answering the questions. 

  1. This question paper consists of 11 questions.
  2. Answer ALL the questions.
  3. Number the answers correctly according to the numbering system used in this question paper.
  4. Clearly show ALL calculations, diagrams, graphs et cetera that you have used in determining your answers.
  5. Answers only will not necessarily be awarded full marks.
  6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
  7. If necessary, round off answers to TWO decimal places, unless stated otherwise.
  8. Diagrams are NOT necessarily drawn to scale.
  9. An information sheet with formulae is included at the end of the question paper.
  10. Write neatly and legibly. 

QUESTIONS

QUESTION 1 
1.1 Solve for x: 

1.1.1 (x − 3)(x + 1)= 0 (2)
1.1.2  √x3 = 512 (3)
1.1.3 x (x - 4) < 0 (2)

1.2 Given: f(x)=x2 – 5x + 2 

1.2.1 Solve for x if f(x) = 0   (3)
1.2.2 For which values of c will f(x) = c have no real roots? (4)

1.3 Solve for x and y: 

x = 2y +2
x2 – 2xy + 3y2 = 4  (6)

1.4 Calculate the maximum value of S if S =      6         (2)      
                                                                         x2 + 2         

[22]  

QUESTION 2 
Given the geometric sequence: -¼ ;b; -1; ....... 

2.1 Calculate the possible values of b.(3)
2.2 If b=½, calculate the 19th term (T19) of the sequence. (3)
2.3 If b=½, write the sum of the first 20 positive terms of the sequence in sigma notation. (4)
2.4 Is the geometric series formed in QUESTION 2.3 convergent? Give reasons for your answer. (2)

[12]

QUESTION 3 
3.1 6; 6 ; 9 ; 15 ; ... are the first four terms of a quadratic number pattern. 

3.1.1 Write down the value of the fifth term (T5) of the pattern. (1)
3.1.2 Determine a formula to represent the general term of the pattern. (4)
3.1.3 Which term of the pattern has a value of 3 249? (4)

3.2 Determine the value(s) of x in the interval xe [0°; 90°] for which the sequence -1; 2sin3x ; 5 ; ..... will be arithmetic. (4)

[13]

QUESTION 4 
The sketch below shows the graphs of f(x) = log5x and g(x) =    2    +  1.
                                                                                                 x - 1

  • T and U are the x-intercepts of g and f respectively.
  • The line y=x intersects the asymptotes of g at R, and the graph of g at V. 
    intercepts

4.1 Write down the coordinates of U. (1)
4.2 Write down the equations of the asymptotes of g. (2)
4.3 Determine the coordinates of T. (2)
4.4 Write down the equation of h, the reflection of f in the line y = x, in the form y=...  (2)
4.5 Write down the equation of the asymptote of h(x - 3)  (1) 
4.6 Calculate the coordinates of V.  (4)
4.7 Determine the coordinates of T' the point which is symmetrical to T about the point R. (2)

[14]

QUESTION 5 
5.1 The sketch below shows the graphs of f(x) = x2 – 2x – 3 and g(x)= x – 3. 

  • A and B are the x-intercepts of f.
  • The graphs of f and g intersect at C and B.
    D is the turning point of f. 
    graphs

5.1.1 Determine the coordinates of C. (1)
5.1.2 Calculate the length of AB.   (4)
5.1.3 Determine the coordinates of D.  (2)
5.1.4 Calculate the average gradient of f between C and D. (2)
5.1.5 Calculate the size of OČB (2)
5.1.6 Determine the values of k for which f(x) = k will have two unequal positive real roots.  (3)
5.1.7 For which values of x will f'(x).F"(x) > 0 ? (3)

5.2 The graph of a parabola f has x-intercepts at x = 1 and x = 5. g(x)=4 is a tangent to f at P, the turning point of f. Sketch the graph of f, clearly showing the intercepts with the axes and the coordinates of the turning point.   (5)

[22]

QUESTION 6 
6.1 On the 2nd day of January 2015 a company bought a new printer for R150 000. 

  • The value of the printer decreases by 20% annually on the reducing-balance method.
  • When the book value of the printer is R49 152, the company will replace the printer. 

6.1.1 Calculate the book value of the printer on the 2nd day of January 2017 (3) 
6.1.2 At the beginning of which year will the company have to replace the printer? Show ALL calculations. (4)
6.1.3 The cost of a similar printer will be R280 000 at the beginning of 2020. The company will use the R49 152 that it will receive from the sale of the old printer to cover some of the costs of replacing the printer. The company set up a sinking fund to cover the balance. The fund pays interest at 8,5% per annum, compounded quarterly. The first deposit was made on 2 April 2015 and every three months thereafter until 2 January 2020. Calculate the amount that should be deposited every three months to have enough money to replace the printer on 2 January 2020. (4)

6.2 Lerato wishes to apply for a home loan. The bank charges interest at 11% per annum, compounded monthly. She can afford a monthly instalment of R9 000 and wants to repay the loan over a period of 15 years. She will make the first monthly repayment one month after the loan is granted. Calculate, to the nearest thousand rand, the maximum amount that Lerato can borrow from the bank. (5)

[16]

QUESTION 7 
7.1 Determine f'(x) from first principles if f(x) = x2 -5. (5)
7.2 Determine the derivative of: g(x) = 5x2 - 2x    (3)      
                                                                      x3 
7.3 Given: h(x) = ax2, x > 0.
Determine the value of a if it is given that h-1(8) = h' (4). (6)

[14]

QUESTION 8 
Given: f(x) = 2x3 – 5x2 + 4x 
8.1 Calculate the coordinates of the turning points of the graph of f. (5)
8.2 Prove that the equation 2x3 - 5x2 + 4x = 0) has only one real root. (3)
8.3 Sketch the graph of f, clearly indicating the intercepts with the axes and the turning points. (3)
8.4 For which values of x will the graph of f be concave up? (3)

[14]

QUESTION 9 
A piece of wire 6 metres long is cut into two pieces. One piece, x metres long, is bent to form a square ABCD. The other piece is bent into a U-shape so that it forms a rectangle BEFC when placed next to the square, as shown in the diagram below. 
a to f
Calculate the value of x for which the sum of the areas enclosed by the wire will be a maximum  [7]

QUESTION 10 
10.1 The events S and T are independent. 

  • P(S and T)=1/6
  • P(S) =¼

10.1.1 Calculate P(T).  (2)
10.1.2 Hence, calculate PS or T).   (2)

10.2 A FIVE-digit code is created from the digits 2; 3; 5; 7; 9. 
How many different codes can be created if: 

10.2.1 Repetition of digits is NOT allowed in the code (2)
10.2.2 Repetition of digits IS allowed in the code (1)

10.3 A group of 3 South Africans, 2 Australians and 2 Englishmen are staying at the same hotel while on holiday. Each person has his/her own room and the rooms are next to each other in a straight corridor. 
If the rooms are allocated at random, determine the probability that the 2 Australians will have adjacent rooms and the 2 Englishmen will also have adjacent rooms. (4)

[11]

QUESTION 11 
The success rate of the Fana soccer team depends on a number of factors. The fitness of the players is one of the factors that influence the outcome of a match. 

  • The probability that all the players are fit for the next match is 70%
  • If all the players are fit to play the next match, the probability of winning the next match is 85%
  • If there are players that are not fit to play the next match, the probability of winning the match is 55% 

Based on fitness alone, calculate the probability that the Fana soccer team will win the next match. [5] 

TOTAL: 150 

maths info sheet