Adele

Adele

MATHEMATICS
PAPER 1
GRADE 12 
AMENDED SENIOR CERTIFICATE
EXAMS PAST PAPERS AND MEMOS
MAY/JUNE 2018

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 (3x —1)(x + 4) = 0      (2)
1.1.2 2x2 + 9x —14 = 0 (correct to TWO decimal places)   (4)
1.1.3 26x =3x     (4)
1.1.4  (x-1)(x-4) > x+11   (5)
1.2  Simplify fully:  √16x7 - √25x7
                                       √x
1.3 Solve simultaneously for x and y:  xy = 9 and x - 2y - 3 = 0 (5)
1.4 Prove that x2 + 2xy + 2y2 cannot be negative for x, y∈R. (4) [27]

QUESTION 2
2.1 Given the quadratic pattern: 5 ; 10 ; 17 ; 26 ; .... 
2.1.1 Write down the next TWO terms of the pattern. (2)
2.1.2 Determine the formula for the nth term of the pattern. (4)
2.1.3 Which term of the pattern will have a value of 1 765? (4)
2.2 The first 24 terms of an arithmetic series are: 35 + 42 + 49 + ...... + 196. Calculate the sum of ALL natural numbers from 35 to 196 that are NOT divisible by 7. (5) [15]

QUESTION 3
Themba is planning a bicycle trip from Cape Town to Pretoria. The total distance covered during the trip will be 1 500 km. He plans to travel 100 km on the first day. For every following day he plans to cover 94% of the distance he covered the previous day.
3.1 What distance will he cover on day 3 of the trip?  (2)
3.2  On what day of the trip will Themba pass the halfway point?  (4)
3.3 Themba must cover a certain percentage of the previous day's distance to ensure that he will eventually reach Pretoria. Calculate ALL possible value(s) of this percentage.   (3) [9]

QUESTION 4
The graph of f (x) = log4 x is drawn below. B (—6;p  is a point on f
4 JGHFHGAFS
4.1 For which value(s) of x is log 4/3 x ≤ 0?   (2)
4.2 Determine the value of p, without the use of a calculator. (3)
4.3 Write down the equation of the inverse of f in the form y = ....... (2)
4.4 Write down the range of y = f -1 (x).            (2)
4.5 The function h(x) =  (¾) x is obtained after applying two reflections on f . Write down the coordinates of  B", the image of B on h. (2) [11]

QUESTION 5
The graphs of f (x) =     2    + 4 and parabola g are drawn below.
                                  x + 1

  • C, the turning point of g, lies on the horizontal asymptote of f
  • The graph of g passes through the origin.
  • B [ k ; 14/3 is a point on f such that BC is parallel to the y-axis.

5 KJHUGGHFYAUS
5.1 Write down the domain of f    (2)
5.2  Determine the x-intercept of f     (2)
5.3 Calculate the value of k    (3)
5.4 Write down the coordinates of C.   (2)
5.5  Determine the equation of g in the form y = a(x + p)2 + q.  (3)
5.6 For which value(s) of x will f (x) < 0?  (4)
                                                g(x)
5.7 Use  the  graphs  of f and  g  to  determine  the  number  of real  roots  of 2/x - 5 = (-x - 3)2 - 5. Give reasons for your answer. (4) [20]

QUESTION 6
6.1 Calculate how many years it will take for the value of a truck to decrease to 50% of its original value if depreciation is calculated at 15% per annum using the reducing-balance method. (4)
6.2 Every month Tshepo deposited R1 500 for his retirement into an account that paid interest at a rate of 9,2% per annum, compounded monthly. Tshepo made his first instalment on his 23rd birthday and the last instalment one month before his 55th birthday. Calculate how much money he had in the account on his 55th birthday. (5)
6.3  Abram has R150 000 to invest in two separate accounts. One account pays interest at a rate of 8,4% per annum, compounded quarterly, and the other account at a rate of 9,6% per annum, compounded monthly. How much money should he invest in each account so that he will collect the same amount from each account at the end of 12 years? (6) [15]

QUESTION 7
7.1 Given: f (x) = 2 - 3x2  Determine fi(x) from first principles. (5)
7.2 Determine:
7.2.1 D x[(4 x + 5)2 ] (3)
7.2.2 dy if y = 4√x + x2 - 8  (4)  [12]
         dx                     x2

QUESTION 8
The graph of f (x) = -x3 + 13x +12 is sketched below. A, B and D(-1 ; 0) are the x-intercepts of f. C is the y-intercept of f
8 KJHHJGDVA
8.1 Write down the coordinates of C.   (1)
8.2 Calculate the coordinates of A and B.(5)
8.3 Determine the point of inflection of g if it is given that g(x) = -f(x).  (4)
8.4 Calculate the value(s) of  x  for which the tangent to  f  is parallel to the line y= -14x + c.   (4) [14]

QUESTION 9
A right circular cone with radius p and height t is machined (cut out) from a solid sphere (with centre C) with a radius of 30 cm, as shown in the sketch.
9 KHGJGS
9.1 From the given information, express the following:
9.1.1 AC in terms of t. (1)
9.1.2  p2 in its simplest form, in terms of t . (3)
9.2 Show that the volume of the cone can be written as V(t) = 20πt21/3πt3     (1)
9.3 Calculate the value of t for which the volume of the cone will be a maximum. (3)
9.4 What percentage of the sphere was used to obtain this cone having maximum volume? (4) [12]

QUESTION 10
Ben, Nhlanhla, Owen, Derick and 6 other athletes take part in a 100 m race. Each athlete will be allocated a lane in which to run. The athletic track has 10 lanes.
10.1 In how many different ways can all the athletes be allocated a lane? (2)
10.2 Four athletes taking part in the event insist on being placed in lanes next to each other. In how many different ways can the lanes be allocated to the athletes now?  (3)
10.3 If lanes are randomly allocated to athletes, determine the probability that Ben will be placed in lane 1, Nhlanhla in lane 3, Owen in lane 5 and Derick in lane 7 (2) [7]

QUESTION 11
A survey on their preference of exercise was conducted among 140 people in two age groups. The information is summarised below.

AGE  TENNIS  RUNNING  GYM  TOTAL 
35 years and younger   a  28  c  80
Older than 35 years   b  21  d  60
   21  49  70  140

11.1 If it is given that preferring to play tennis and age are independent of each other, determine the value of a.  (3)
11.2 If it is given that a = 12, determine the probability that a randomly selected person prefers going to the gym or is in the age group 35 years and younger.   (5) [8]

TOTAL:  150

INTFO SHEET JHFGHGFAHD

MATHEMATICAL LITERACY
PAPER 2
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

ADDENDUM 

ANNEXURE A QUESTION 3.2
ANNUAL RATES OF TAX FOR INDIVIDUALS
2017/2018 tax year (1 March 2017 to 28 February 2018)

TAXABLE INCOME (R)   RATES OF TAX (R) 
0-189 880  18% of taxable income
189 881-296 540  34 178 + 26% of taxable income above 189 880
296 541-410 460 61 910 + 31% of taxable income above 296 540
410 461-555 600  97 225 + 36% of taxable income above 410 460
555 601-708 310 149 475 + 39% of taxable income above 555 600
708 311-1 500 000  209 032 + 41% of taxable income above 708 310
1 500 001 and above  533 625 + 45% of taxable income above 1 500 000

TAX REBATES

TAX REBATE   TAX YEAR 
  2017/2018
Primary R13 500
Secondary (65 and older)  R7 407
Tertiary (75 and older)  R2 466

[Source: SARS Last Updated: 30/06/2017 12:47]     
 ANNEXURE B
QUESTION 3.3.1
Layout of the parts of toy storage boxes on ONE sheet of plywood
annexure b kuhiikhad
ANNEXURE C
QUESTION 3.3.3
annexure c
ANNEXURE D
QUESTION 4.1
PART OF THE MAP OF THE KRUGER NATIONAL PARK
annexure d mjhgjhgaD
[Adapted from http//krugerrnationalpark.co.za]
TABLE 4: Distances between camps and gates in the Kruger National Park

Gates and camp distances Berg-en-dal    Lower Sabie  Malelane  Mopani   Numbi Gate Orpen  Pafuri Gate  Pretoriuskop Satara Skukuza
Berg-en-dal    -  113 12   281  97  213  453  92  165  172
Lower Sabie  113  -  105  209  95  141  380  90  93  43
Malelane  12  105  -  272  94  204  444  85  156  64
Mopani  281  209  272  -  263  164  172  258  116  209
Numbi Gate  97  95  94  263  -  195  434  9  147  54
Orpen  213  141  204  164  195  -  335  184  48  137
Pafuri Gate  453  380  444  172  434  335  -  438  287  380
Paul Kruger Gate  83  53  74  220  65  152  392  60  104  12
Pretoriuskop  92  90  85  258  9  184  438  -  140  49

ANNEXURE E QUESTION 4.3
AVERAGE DAILY RATES AND OCCUPANCY FOR DIFFERENT REGIONS FROM 2010 TO SEP. 2015
annexure e iuyuhytgkcd
Source:[Adapted from www.balidiscovery.com]

MATHEMATICAL LITERACY
PAPER 1
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

ADDENDUM 

ANNEXURE A
UESTION 2.1

GEMS 

MEMBER - MRS CHAN:  3526178 

STATEMENT REFERENCE: A356748
DOCUMENT REFERENCE: 5109725 
DATE 15/12/17
STATEMENT 187992 
 Transaction information   Payment information            
 Date treated  Patient Tarriff code Amount claimed Benefir approved Scheme paid supplier Scheme paid member Member owes scheme Member paid/ owes supplier See below       Amount paid in hospital benefit Amount paid from other limits Tax claimable amount
 DIS-CHEM PHARMACY 098 234 (Chemist)                   
08/12/17 Lee Acute 736, 90           9505        
08/12/17 Lee Chronic   173, 03 173, 03 173, 03             173, 03  
08/12/17 Lee Chronic   117, 44 117, 44 117, 44             117, 44  
08/12/17  Lee Chronic   61, 50 61, 50 61, 50             61, 50  
08/12/17 Lee Chronic   80, 98 80, 98 80, 98             80, 98  
08/12/17 Lee Chronic   46, 80 46, 80 46, 80             46, 80  
Dhlamini M DR 1627805 (General Practitioner)                
                           
08/12/17 Lee    0192     343,00          343,00  870        343,00
09/12/17 Lee 0132 102,10          102,10  870        102,10
Totals:     1, 661, 75   479, 75        445, 10          445, 10
Summary of Financial Information  
Payable to Member (Credit)    0,00
Less owed to Scheme (Debit)    0,00
Member to pay Supplier(s) (Debit)  445,10
Tax claimable to date  5326,66
Summary of codes
870  Overall Limit Exceeded
9505 Pre authorisation required

ANNEXURE B
QUESTION 4.1
LAYOUT PLAN OF THE SHOPPING MALL
annexure 2
[Adapted from www.thenewoakparkmall.com]

ANNEXURE C
QUESTION 5.2          PIE CHARTS SHOWING THE DIFFEERENT SOURCES OF INCOME FOR TWO PROVINCES
annexure c ghjhgjad
[Adapted from www.statssa.co.za]

MATHEMATICAL LITERACY
PAPER 1
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

SYMBOL

EXPLANATION

M

Method

MA

Method with accuracy

MCA

Method with consistent accuracy

CA

Consistent accuracy

A

Accuracy

C

Conversion

S

Simplification

RT/RG/RP

Reading from a table/graph/plan

SF

Correct substitution in a formula

O

Opinion/Example/Definition/Explanation

P

Penalty, e.g. for no units/incorrect rounding off, etc.

R

Rounding off

NPR

No penalty rounding or omitting units

AO

Answer only, if correct, full marks

NOTE:  

  • If there is an additional incorrect answer mark as follows:
  • If the solution contains the word “OR”, then penalty of 1 mark
  • If the solution contains the word “AND”, then mark only the first solution with a penalty of 1 mark.

MEMORANDUM 

Question 1 [31 MARKS]AO Full Marks

Ques

Solution

Explanation

T/L

1.1.1

Horizontal/double/compound/multiple O bar graph O

1O type
1O bar graph (2)

D
L1

1.1.2

                         ✓RT
71,6%; 51%; 10,3%; 7,3%; 6,6% A

1RT reading all correct values
1A descending order
If Johannesburg is used max 1 mark (2)

D
L1

1.1.3

Step 6 A

2A identifying correct Step 
Accept any identification in step 6 for Cape Town (2)

F
L1

1.1.4

Cape Town A

2A stating Cape Town
Accept JHB Step 1 full marks (2)

F
L1

1.1.5

                           ✓RT
Cost = 3,5 kℓ × R7,14 = R24,99 A

1RTfor R7,14
1Asimplification
CA only if R4,56 is used Accept R25 full marks (2)

F
L1

1.1.6

Numerical A

2A stating numerical 
Accept numerically full marks (2)

D

L1

1.2.1

Selling price minus profit A
OR
The amount of money needed (for raw material, labour, etc.) to make an item A

2A correct definition
Accept:

  • Amount  you  pay  for  buying stock/clocks
  • Money you receive without profit.
  • Price before mark-up is added. (2)

F

L1

1.2.2

               ✓RT                      A
Cost price = R3 350 - R914 = R2 436

1RT correct values
1A simplification (2)

F
L1

Ques

Solution

Explanation

T/L

1.2.3

      ✓A
22:08A

1A correct hours
1A correct minutes (2)

M
L1

1.2.4

            ✓MA
Total profit = R914 + R60 + R573 + R1623
= R3170,00 CA

1MA  adding all correct values
1CA simplification (2)

F
L1

1.3.1

Converting scale reading 
                ✓M
=394 g ÷ 1 000 = 0,394 kg A

1M dividing by 1 000
1A simplification (2)

M
L1

1.3.2

             ✓M
New reading = 394 - 128
= 266g A

1M subtracting correct values
1A simplification (2)

M
L1

1.3.3

     ✓M              M                    A
Peach =394 - 128 - (128  ÷ 2) = 394 - 192
= 202 g

OR

Plum = 128 g ÷ 2 M
= 64 g A
Peach = 266 g - 64 g M
= 202 g

1M  subtraction from 394
1M dividing 128 by 2
1A for 192

OR

1Mdividing pear by 2
1A plum 64g
1Msubtracting two values  (3)

M
L1

1.3.4

0%  OR   OR0 A
               3

2A solution
Accept impossible - full marks   (2)

P
L1

1.3.5

394g  :  128g M
197  :  64 A

1M concept of ratio
1A ratio without units
Accept:

  • Reverse the order withsimplification one mark
  • Unit ratio  1: 0,325 OR 3,08:1 one mark
  • Correct fractional form - full marks (2)

M
L1

   

[31]

 

QUESTION 2 [38MARKS]

Ques

Solution

Explanation

T/L

2.1.1

December A
OR
The twelfth month of the year A
OR

The last month of the year    ✓ A

2A correct month
Accept:

  • Mid Nov. to mid Dec.
    Nov / Dec
    12 (full marks)
  • 8/9/15 Dec max one mark (2)

F

L1

2.1.2

The overall limit exceeded A

2A correct code description
Accept:

  • Owe supplier     
  • Funds exhausted    (full marks)
  • Code (870) only max one mark (2)

F

L1

2.1.3

Dr Dhlamini RT

2RT name (2)

F
L1

2.1.4

                                                    MA
Increased amount = R736,90 × 6,3  = R46,42
                                                  100
New price = R46,42 + R736,90 MCA
= R783,32 CA

OR

                             ✓MA
Increased percentage = 100% + 6,3% = 106,3%
New price = R736,90 × 106, 3 MCA
                                        100
= R783,32 CA

1MA calculating 6,3%
1MCA adding the values
1CA simplification

OR

1MA calculating 106,3%
1MCA multiplication
1CA simplification (3)

F

L2

Ques

Solution

Explanation

T/L

2.1.5

                             ✓ RT
Tax claimable = R5 326,66  - R445,10
= R4 881,56A

AO
1RT  correct values
1A Simplification (2)

F

L2

2.1.6

                                  O
Money the member must pay to the suppliers.

2O for correct definition

F

L1

 

Accept: Full Marks

Amount of money not paid by

the scheme.

Money owed to the scheme.

 

(2)

2.1.7

Total amount              RT                    M

=R173,03 + R117,44 + R61,50 +R80,98 + R46,80
= R479,75

OR

Total amount      RT            M
= R1 661,75 - R736,90 - R445,10
= R479,75

1RT all correct values
1M adding values

OR

1RT all correct values
1M subtracting values (2)

F

L1

2.2.1

Value Added Tax A

2A acronym written out (2)

F
L1

2.2.2

RT
VAT = R988,00 ×  14%   M
                             114%
= R121,333333
≈ R121,33    ✓ A

OR

                       ✓RT
VAT = R988,00 ÷1,14 × 0,14 M
= R121,333333
≈ R121,33 A

OR

                               ✓RT
VAT = R988 -  [R988] M
                        [1,14 ]
=  R988 - R866,666..
≈  R121,33 A

1RT using correct value 
1M multiplying by 14%
                            114%
1A Simplification

OR

1RT using correct value
1M dividing by 1,14 and multiplying by 0,14
1A Simplification

OR

1RT using correct value

1M dividing by 1,14 and subtracting
1A Simplification (3)

F

L2

Ques

Solution

Explanation

T/L

2.2.3

Difference = R223 - R13 M
= R210 A

AO
1M subtracting correct values
1A simplification
Accept:

  • R210 full marks (2)

F

L1

2.3.1

Exchange rate
                          RT
R1 = 0,797782 Botswana pula
OR
               ✓RT
1BWP = R1,253475

2RT correct exchange rate

(2)

F

L1

2.3.2

RupeeA
Dinar A
Yen A

1A rupee
1A dinar
1A yen
Accept:

  • Currency values or name of country -  max 2 marks (3)

L1

F

2.3.3

a

Cost price = ZAR 13 × 0,797782 M
= BWP 10,37 A
OR
                          ✓M
Cost price  = 13 ZAR ÷ 1,253475
= BWP 10,37A

AO
CA from Q2.3.1 if ratio listed
1M multiplying correct values
1A Simplification

OR

1M dividing correct values
1A Simplification
No penalty for unit (2)

F

L2

2.3.3

b

Profit = (SP - CP) × number sold
7 526  =  (48 - 10,37) × number sold 
               ✓ SF
Number sold  × 37,63 = 7 526 CA
Number sold =  7526 MCA
                         37,63
= 200 CA

CA from Q2.3.3a
1SF substitution
1CA simplification
1MCA dividing
1CA simplification (4)

F

L3

Ques

Solution

Explanation

T/L

2.3.4

Number of shares 3+2 =5A
Errol’s share of the profit
= × BWP 7 526 M
   5
= BWP 3 010,40  CA

AO
1A for calculating 5
1M multiplying correct values
1CA Errol’s profit share
No penalty for units (3)

F

L2

2.3.5

                                 A
Algerian dinar =      1      
                        9,546785 A
= 0,104747

1Anumerator
1Adenominator (2)

F

L2

   

[38]

 

QUESTION 3 [21 MARKS]

Ques

Solution

Explanation

T/L

3.1.1

Number of pallets = 12 × 2MA
= 24A

AO
1MA  multiply 12 by 2
1A  simplification (2)

M

L1

3.1.2

Height of the table RT
=145mm + 145mm + 200mm M
= 490 mm CA

1RT  using correct values
1M  adding correct values
1CAsimplification
Accept:

  • adding 145 and 200 max 2  marks (3)

M

L1

3.1.3

Area = length × width
RT
= 1 200 mm × 1050 mm SF
= 1 260 000 mm2 CA

1RT reading of correct values
1SF  substituting correct values
1CA simplification (3)

M

L2

3.1.4

Perimeter of glass top
                ✓RT                    M
= 1200mm + 1050mm +1200mm + 1050 mm
= 4 500 mm CA

OR

                          ✓M
Perimeter  = 2 × (length + width)
= 2 × (1 200 mm + 1 050 mm )              SF
= 2 × 2 250 mm
= 4 500 mm                    CA

AO
1RT reading all correct values
1M adding correct values
1CA simplification

OR

1M correct formula
(P = 2L + 2B)
1SF substitution
1CA simplification (3)

M

L1

Ques

Solution

Explanation

T/L

3.2.1

Length of ribbon
= π × diameter + overlap
        C           SF
= 3,142 × 11cm  + 2cm
= 36,562 cm CA

OR

Length of ribbon
= π × diameter + overlap
= 3,142 × 110 mm  + 20 mmSF
=  365,62 mm CA
= 36,562 cm C

1C converting diameter to 11 cm
1SF substituting in formula
2CA simplification

OR

1SF substituting in formula
2CA simplification in mm
1C converting to cm
Accept 37 cm  full marks (4)

M

L2

3.2.2

a

Inner diameter  = 110 - 5 - 5
                              MA
Inner radius      = 100 mm ÷ 2
= 50 mm CA
OR
Inner radius = 55mm  - 5 mm MA
= 50 mm CA

AO
1MA  subtracting 5 twice and dividing by 2
1CA simplification
OR
1MA  subtracting 5 from the radius
1CA simplification (2)

M

L1

3.2.2

b

Volume of cylinder
= π × radius2 × height
               ✓   SF            A
= 3,142 × (50mm)2 × 48mm   
                ✓ CA
= 377 040mm3 A

CA from Q3.2.2 a
1A for calculating 48
1SF substituting radius from Q3.2.2a
1CA simplification
1A for correct unit (4)

M

L2

   

[21]

 

QUESTION 4 [25MARKS]

Ques

Solution

Explanation

T/L

4.1.1

7 RP

2RP correct store number
Accept Shop number 9 full marks (2)

MP

L1

4.1.2

Parking 2 RP

2RP correct parking number
Accept 2 full marks (2)

MP

L1

4.1.3

WoolworthsRP

2RP correct shop name
Accept:

  • Woolworths with additional shop maximum 1 mark (2)

MP

L1

4.1.4

Turn right as you exit the Crazy Daisy ShopA
Turn righttowards Entrance 1
Turn lefttowards Entrance 2    A
Pass two shopsthen turn right    A
Shop number 18 will be on your right A

OR

Turn right as you exit the Crazy Daisy Shop A

Turn right towards Entrance 1
Continue straight towards Entrance 1 A

A

Turn left passing Checkers heading towards Entrance 4
Then turn left towards shop 18 A

1A turn right
1A turn left
1A turn right
1A on your right

OR

1A turn right
1A continue straight
1A turn left
1A turn left
Accept:

  • Using shops as landmarks (4)

MP

L2

Ques

Solution

Explanation

T/L

4.1.5

27 doors A

2A correct number of doors (2)

MP
L2

4.1.6

                      A
P(2 entrances) =  2  / 0, 087 / 8, 7%
                        23  A

1A numerator
1A denominator
Accept:
Full Marks for   3 
                        23

Max 1 mark for  3   (2)
                         21

P

L2

4.1.7

                                        A
P(not an even number)  12   
                                      23   ✓CA

1A numerator
1CA denominator from Q4.1.6
Accept as CA from Q4.1.6
Full Marks for  11   (2)
                        21

P

L2

Ques

Solution

Explanation

T/L

4.2.1

Top view of the coffee shop. A
OR
Top view ofthe shop without the roof. A

2A explanation
Accept:

  • Aerial view without the roof
  • Layout of a home from above (2)

MP

L1

4.2.2

Bathroom OR Wash roomOR Rest room RP

2RP reading from plan
Accept:

  • Toilet, Cloak room, Ablution, Loo, Ladies, Gents (2)

MP

L1

4.2.3

South-East  / SE      RP

2RP reading from plan (2)

MP

L1

4.2.4

70 mm : 15 m
70  : 15 000 C
1 : 214,2857143    S
1 : 214 CA

1C convert to mm
1S simplification
1CA answer
Accept 1 : 215 (3)

MP

L3

   

[25]

 

QUESTION 5 [35 MARKS]

Ques

Solution

Explanation

T/L

5.1.1

September RT

2RT  read from table
Accept:

  • Sep/Sept/ 9th month full marks
  • September and another month maximum 1 mark (2)

D

L1

5.1.2

Mean income
                                                      RT
= (238 + 266+254+238+233+216+247 +251+275+269+254+198)million
                                                        12
=2939million        M
      12
= R244,9166667 million /  R244 916 666,7 CA

1RT correct values
1M  concept of mean
1CA  answerin millions
Omitted millions Max 2 marks (3)

D

L2

5.1.3

                     RT
   743   ×  100% M
  12343      1
= 6,02% CA

1RT  correct values
1M  multiply by 100
1CA  simplify (3)

D

L1

5.1.4

45 905 000 RT
OR
45 905 thousand ✓ RT

2RT correct value from table
45 905 only max 1 mark (2)

D

L1

5.1.5

                                  ✓RT
Sixty five million one hundred and sixty eight thousand A

1RT reading from table as is 1A  correct wording with millions (2)

D

L1

5.1.6

                               ✓MA
Median = 1015+1020 M
                         2
= 1 017, 5 million CA

AO
1MAidentifying correct middle values
1M  concept of  median
1CA  simplification
Penalty 1 for omitting millions (3)

D

L2

5.1.7

                             ✓A

P(less than 200  000 000) 1  
                                       12 A
= 0,08333333 CA

AO
1A numerator
1A denominator
1CA decimal form
NPR (3)

P

L2

Ques

Solution

Explanation

T/L

5.1.8

 MEMO P1

D

L2

   

1A  for each correctly plotted bar × 6
If graph is drawn on top of other graph (full marks)
Perfect line graph (3/6) (6)

         

Ques

Solution

Explanation

T/L

5.2.1

Total number of households for Grants:
                M                          MA
= [2768- (1404+216+123+180+7+117+7)] thousand
=  714 000 households CA
OR
           ✓M                                      MA
(2768 - 1404 - 216 - 123 - 180 - 7 - 117 - 7) thousand
=  714 000 households CA

1M  subtracting from 2 768
1MA adding values
1CA  simplification
OR
1M  subtracting from 2 768
1MA continuous subtraction
1CA  simplification (3)

D

L1

5.2.2

Business RG

2RG  correct source (2)

D

L1

5.2.3

Difference
                    RT
=216 000 - 28 000 M
=  188 000A

AO
1RT  correct values
1M subtracting
1A simplification
Penalty 1 for omitting thousands (3)

D

L1

5.2.4

Remittance
                 RT
=  64000  ×  100 % M
    532000      1
= 12,03% CA

1RT correct values
1M percentage
1CA simplification
     64     ×  100% =0, 012
532000        1
maximum 2 marks (3)

D

L2

 

[35]

 
 

TOTAL: 150 MARKS

 

MATHEMATICAL LITERACY
PAPER 2
GRADE 12
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

Symbol

Explanation

M

Method

MA

Method with accuracy

CA

Consistent accuracy

A

Accuracy

C

Conversion

S

Simplification

RT

Reading from a table/a graph/document/diagram

SF

Correct substitution in a formula

O

Opinion/Explanation/Opinie

P

Penalty, e.g. for no units, incorrect rounding off, etc.

R

Rounding off

NPR

No penalty for rounding

AO

Answer only

MCA

Method with constant accuracy

NOTE:

  • If a candidate answers a question TWICE, only mark the FIRST attempt.
  • If a candidate has crossed out (cancelled) an attempt to a question and NOT redone the solution, mark the crossed out (cancelled) version.
  • Consistent accuracy (CA) applies in ALL aspects of the marking guideline, however it stops at the second calculation error.
  • If the candidate presents any extra solution when reading from a graph, table, layout plan and map, then penalise for every extra item presented.

MEMORANDUM 

QUESTON/1 [35 MARKS]

Q/V

Solution

Explanation

T&L

1.1.1

A = 367 × 3      M
= 1 101      A
B = 15 726 ÷ 3    M  
= 5 242 ✓A
OR
                         M
A = 367 × 2700 = 1 101      A
            900
                         ✓ M
B = 900 × 15726 = 5 242 A
           2700

1M multiplying
1A simplification
1M dividing
1A simplification

OR

1M working with ratio
1A simplification
1M working with ratio
1A simplification AO        (4)

D

L2

1.1.2

1 Teacher + 3 learners = 4 persons A
                  MA
Number of schools = 32 712 ÷ 4
= 8 178 ✓ CA

1A total persons
1MA dividing by 4
1CA simplification
AO      (3)

D

L2

1.2.1

             RT  RT
Median% = 58+62  M
                       2
= 60 CA

2RT correct values
1M median concept
1CA simplification 
AO         (4)

D

L2

1.2.2

Mean %
= 36+42+48+58+60+61+62+76+86 ✓ MA
                        9 A
= 529  ≈ 58,78    CA
    9

1MA adding correct values
1A dividing by 9
1CA simplification
AO
NPR        (3)

D

L2

Q/V

Solution

Explanation

T&L

1.2.3

IQR = Upper quartile - Lower quartile  A
16% = 68% - C SF
C = 52% CA

1A value of Q3
1SF substituting 16% and Q3
1CA simplification (3)

D

L3

1.2.4

                           ✓O
Matuli's mean is higher than Bianca's.
OR
Bianca's mean is lower.
The range of Matuli'spercentages (86 - 48 = 38) is smaller than Bianca's (86 - 36 = 50) O
OR
Bianca's range is bigger.
OR
                O

The minimum Matuli scored was 48% which is better than Bianca's 36%.
OR
Bianca's minimum is lower than Matuli's.

2O comparing mean marks
2O comparing range or minimum marks (4)

D

L4

1.3.1

Probability of randomly choosing an Indian
                   A
     171        × 100% M
   4 500 000    A
                CA
≈ 0,0038% < 0,004%
He is correct.  O

1A numerator
1A denominator
1M percentage
1CA simplification
1O verification (5)

P

L4

Q/V

Solution

Explanation

T&L

1.3.2

Difference = Rs40 000        A
                                 MA
Rs40 000 = 40000  US Dollar
                     63,41
40 000 US dollar = 40000  ÷ 0,081 SA rand
  63,41                     63,41
          S            MA
= R 630,8153… ÷ 0,081
≈ R7 787,84        CA

OR

                    ✓MA                                        MA
Rs50 000 = 50000  USD = 788,51916…÷ 0,081 SA rand
                     63,41
≈ R9 734,80  S
Rs 10 000 = 10000  USD = 157,7038…÷ 0,081 SA rand
                      63,41
≈ R1 946,96  S
Difference = R9 734,80 - R1 946,96
= R7 787,84          CA

OR

R1 ÷ 0,081 = R12,35    A
Rs50 000 x R12,35 ÷ 63,45 MA
= R9 732,07      S
Rs10 000 x R12,35 ÷ 63,45 
= R1 946,41  ✓S
R9 732,07 - R1 946,41
= R7 785,66              CA

1A difference
1MA convert to dollars
1S simplification
1MA convert to rand
1CA simplification in rand

OR

1MA convert to dollars
1MA convert to rand
1S simplification
1S simplification
1CA difference in rand

OR

1A rand per dollar ratio
1MA converting
1S simplification
1S simplification
1CA difference in rand
NPR (5)

F

L3

1.3.3

Change received 
= Rs4 000 - Rs2 440 = Rs1 560    MA
3 × Rs500 = Rs1 500
1 × Rs50 = Rs 50    MA
1 × Rs10 = Rs 10
5 notes      = Rs1 560
          A        O
NOT VALID, 5 is the minimum

1MA difference
1MA breakdown of the change
1A five

1O not valid (4)

F

L4

   

[35]

 

QUESTION 2 [38MARKS]

Q/V

Solution

Explanation

T&L

2.1.1

Right-hand side OR Western side  A

2A correct side(2)

M&P

L2

2.1.2

(a)

140 mm : 3 500 mm        MA
1 : 3 500 ÷ 140    M
= 1 :25          A

1MA values in correct order
1M dividing by 140
1A simplification (3)

M&P

L3

2.1.2

(b)

Length/Lengte = 6 000 ÷ 25    MCA
= 240 mm CA
= 24 cm C

OR

140 : 3 500
M
x : 6 000
3 500 x = 840 000
              CA
x = 240 mm
= 24 cm                  C

CA from 2.1.2(a)
1MCA dividing by scale factor 
1CA length in mm
1C converting to cm

OR

1M concept of proportion
1CA length in mm
1C converting to cm (3)

M&P

L3

2.1.3

Side door area
= 2 000 mm  × 800 mm      SF
= 1 600 000 mm2        A
Garage door area
=  2 400 mm  × 2 100 mm
                      A
= 5 040 000 mm2
Window area = 1 500 mm × 900 mm
= 1 350 000 mm2    A
Total area      M
= (1 600 000 + 5 040 000 + 1 350 000) mm2
= 7 990 000 mm2          MCA

1SF substitution
1A side door area
1A garage door area
1A  window area
1M adding 3 areas
1MCA simplification (6)

M

L2

Q/V

Solution

Explanation

T&L

2.1.4

41 410 000 mm2 = 41,410 m2      C
Number of bricks = 41,41 × 68        M
= 2 815,88    CA
Number of pallets = 2 815,88 ÷ 500 M
= 5,63176        S
≈ 6            R

OR

41 410 000 mm2 = 41,410 m2 C
Area covered by bricks of 1 pallet  M
= 500  = 7,35 m²    CA
    68
Number of pallets = 41,41      M
                                 7,35
= 5,63    S
≈ 6        R

OR

                             C
68 bricks for 1 000 000 mm2
∴41 410 000 mm2  = 41410000 × 68   ✓ M
                                        1000000
             CA
= 2 815,88 bricks
Number of pallets = 2 815,88 ÷ 500 M
= 5,63176    S
≈ 6            R

1C converting to m2
1M multiplying
1CA simplifaction
1M dividing
1S simplification
1R rounding up

OR

1C converting to m2
1M dividing
1CA area
1M dividing
1S simplification
1R number of pallets

OR

1C converting to mm2
1M multiplying
1CA simplifaction
1M dividing
1S simplification
1R rounding up (6)

M

L3

2.1.5

Cost
                           MCA                            M
= R1 685 × 6 + R1 575 + R629,95 + R1 119,95
= R13 434,90              CA
Not valid                        O

CA from Q2.1.4
1MCA brick cost
1M adding 4 values
1CA simplification
1O conclusion
NPR                                  (4)

F

L4

Q/V

Solution

Explanation

T&L

2.1.6

SI = Principal amount × interest rate × time in years
= R35 000 × 8% ×  7   SF
                             12
= R1 633,33        CA
Total to be paid back
= R35 000 + R1 633,33
= R36 633,33        CA
OR
A = P(1 + in)
= R35 000 [ 1 + 8% ×  7 ]   SF
                                 12
= R35 000(1,04666…)
≈ R36 633,33        ✓ CA

1SF substituting correct values
1CA simplification
1CA simplification

OR

1SF substitution
2CA total amount (3)

F

L3

2.2.1

1 foot = 12 inches
= 12 × 25,4 mm      M
= 304,8 mm
= 0,3048 m      C
∴ 6 m =     6       foot
             0,3048
≈ 19,685 feet   CA
10 feet slopes ½inch
∴D =  19,685 ×  1   ✓ M
              10        2
= 0,98425 inches                 CA
= 0,98425 × 25,4 mm
≈ 25 mm    CA

OR

6 m = 6 000 mm
25,4 mm = 1 inch
6 000 mm = x inches
x × 25,4 = 6 000
                      M
x = 6000  ≈ 236,22 inches  ✓ C
      25,4
236,22 inches
= 236,22  feet  = 19,685 feet     CA
      12
Slope ½ inch for 10 feet
∴D =  19,685 ×   M
               10       2
= 0,98425 inches  ✓ CA
= 0,98425 × 25,4 mm CA
≈ 25 mm

OR

½ inch = 12,7mmMA
1 foot = 12 inches
∴10 feet  = 120 inches A
               ✓M
∴ 120 × 25,4 = 3 048 mm C
∴ 12,7 mm : 3 048mm
x : 6 000 mm
x  =12,7 × 6000    M
           3048
x = 25 mm ✓ CA

OR

             ✓A
120 inches: 1 inch
                   2
=240:1  ✓S
∴ 6m : DM
         M        S
D = 6m  = 0,025m
      240
= 25 mm  ✓C

1M multiplying
1C convert to m
1CA convert to feet
1M dividing and multiplying
1CA simplification
1CA simplification

OR

1M divide
1C convert to inches
1CA convert to feet
1M dividing and multiplying
1CA convert to inches
1CA simplification

OR

1MA use of proportion
1A feet to inches
1M multiply
1C conversion to mm
1M use of proportion
1CA simplification (6)

M

L4

2.2.2

                              A
Volume = 3,142 × (40 cm)2 × 1,20 m SF
                      C
= 3,142 × (40 cm)2 × 120 cm  S
= 603 264 cm3    C
= 603, 264 ℓ

1A radius
1SF substituting
1C converting height to cm
1S simplification
1C converting to litres (5)

M

L3

   

[38]

 

QUESTION [38MARKS]

Q/V

Solution

Explanation

T&L

3.1.1

Local share 
= R410,6 × 20,12%      MA
= R82,61272    CA
E = R453,4 + R410,6 + R82,61272 MCA
≈ R946,6      CA

1MA calculating 20,12%
1CA simplification
1MCA adding
1CA simplification
NPR (4)

F

L2

3.1.2

Percentage increase
                            RT
R546,1 − R490,00 ×100%    M
            R490,00
= 11,4489…% ≈ 11,45%  ✓CA

OR

Percentage  RT
R546,10 ÷  R490× 100% = 111,45%
Increase
             M
111,45% - 100% = 11,45%    MCA

1RT reading correct values
1M % increase
1CA simplification

OR

1RT correct values
1M subtracting 100%
1MCA simplification (3)

F

L2

3.1.3

National government sector services the whole country and not just one province. O
OR
National government sector assist provinces when the need arises like during drought, or wild fires  O
OR
National government sector has more expenses. O
OR
National government sector employs more people. O

2O explanation (2)

F

L4

Q/V

Solution

Explanation

T&L

3.1.4

Total ratio
= 1 +  4,784 + 5,246 = 11,03    MA
Local sector
           A              MCA
   1     × R1 240,5billion
   11,03
= R112,466…billion or R112 466 001 800    S
≈ R112,5 billion or  R112 500 000 000

1MA adding ratio values
1A fraction
1MCA multiplying
1S simplification in billions
NPR final answer   (4)

F

L3

3.2

Annual taxable income
= 12 × R46 308,50= R555 702        A
Tax due
                       RT
= R149 475 + 39% (R555 702 - R555 600)        SF
= R149 475 + 39%(R102 )
= R149 514,78      S
Tax payable
= R149 514,78 - R13 500    M
= R136 014,78      CA
Monthly tax
= R136 014,78 ÷ 12
= R11334,565  ≈ R11 334,57    CA

1A annual taxable income
1RT correct tax bracket
1SF substitution or R102
1S simplification
1M subtracting rebate
1CA simplification
1CA monthly tax (7)

F

L3

Q/V

Solution

Explanation

T&L

3.3.1

4 A

2A number of boxes (2)

MP

L2

3.3.2

Number of sheets = 2750 ✓M
                                   4
= 687,5        CA
∴ Not enough    O

OR

Number of boxes = 687 × 4 M
= 2 748        CA
∴ Not enough O

OR

Number of boxes per sheet   
= 2750 M
   687    CA
= 4,002911208 > 4

∴ Not enough O

CA from 3.3.1
1M dividing
1CA number of sheets
1O conclusion

OR

1M multiplying
1CA number of boxes
1O conclusion

OR

1M dividing
1CA number of boxes/sheet
1O conclusion (3)

MP

L4

3.3.3

(a)

Income per box 
R860 000 RT 
       2 000      M
= R430      CA

1RT reading correct value
1M division by 2 000
1CA income per box
[Accept R400 - R430] (3)

F

L2

3.3.3

(b)

                    ✓RT
1 280 boxes/kaste

2RT estimation
[Accept  1 250 - 1 300]
[Accept answer by calculation] (2)

F

L3

Q/V

Solution/Oplossing

Explanation/Verduideliking

T&L

3.3.3

(c)

Variable cost per box
= (R680 000 - R320 000) ÷ 2 000
=  R360000     CA
      2 000
= R180    CA
Total Cost = Variable cost + Fixed cost
                                     MCA
= (R180 × 2750) + R320 000
= R815 000                CA

Income  = R430 × 2750        M
= R1 182 500              CA
Profit  = R1 182 500 - R815 000
= R367 500 CA
Her projection is VALID      O

1CA using ANY TWO cost values or from Q3.3.3.(a)/(b)
1CA value
1MCA multiplying and adding
1 CA calculating cost
1M multiplying by 2 750
1CA income
1CA profit
1O conclusion  (CA from Q3.3.3.(a)/(b)) (8)

F

L4

   

[38]

 

QUESTION 4 [39MARKS]

Q/V

Solution

Explanation

T&L

4.1.1

Staff working at the gates need to go home. O
The wild animals in the park makes it unsafe to travel or be in unprotected parts during the night.
OR
Animals are not visible in the dark, park/camp gates open when people can see the animals. 
OR
To avoid overcrowding.  O
OR
Access control 
OR
Security reasons 
OR
So that people travelling from far or within the Kruger National Park, can plan ahead.  O
OR
Accept any other valid answer.  O

2O 1st reason
2O 2nd reason (4)

D

L4

4.1.2

Skukuza A

2A correct camp (2)

MP

L2

4.1.3

Orpen to/na Satara 48 kRT
Satara to Lower Sabie  93 km ✓RT
Total distance = 48 km + 93 km = 141 km ✓A

1RT distance to Satara
1RT distance to Sabie
1A total distance (3)

MP

L3

4.1.4

Main camps = 7 RT
Other camps = 5
Difference = 7 - 5 = 2 CA

1RT number of both camps
1CA difference with 1 correct camp
AO                                    (2)

MP

L2

Q/V

Solution

Explanation

T&L

4.1.5

Distance = speed × time
            RT             SF
64 km = 40 km/h × time
Time on gravel road
=  64 km S
   40 km/h
= 1,6 h            CA
= 1h36 min    C
Time he will arrive at the gate is
17:03 + 1h36 min
= 18:39        CA

1RT distance
1SF substitution with 40 km/h
1S change the formula
1CA time
1C conversion
1CA arrival time (6)

M

L3

4.1.6

The roads are not so busy / people drive slower / more animals are visible.      O
OR
It is the scenic route
OR
The route blends in with nature and gives a more authentic bushveld experience.
OR
Gravel roads gives you more access (short cut) to different parts of the park.
OR
To experience a sense of adventure
Accept any other reasonable answer.

2O reason (2)

MP

L4

4.2.1

                        A
PIndian/=          6         or  0,00147   or  0,147%
                4 081  A

1A numerator
1A denominator (2)

P

L2

Q/V

Solution/Oplossing

Explanation/Verduideliking

T&L

4.2.2

Coloured Employees 
                          MA
622 - 80 - 141 = 401  or/of 2 111 - (49 + 4 + 1 657) = 401
PColoured level B
              ✓CA
=    401     or  0,18995   or    19%
    2 111   A

1MA finding the missing value
1CA numerator
1A denominator (3)

P

L3

4.3.1

                            RT            RT
Difference= 260 USD - 80 USD
= 180 USD    CA

1RT Jimbaran  (255 - 265)
1RT Kula (70 - 85)
1CA difference (3)

F

L2

4.3.2

                                 O                    O
The percentage occupancy decreased from 2011 to 2013 but increased again in 2014

1O decrease
1O years
1O increase
1O year (4)

D

L4

4.3.3

The average daily rates in Ubud had a increase. ✓O
It affected the occupancy negatively or the occupancy percentage went down.    O

2O magnitude of the increase
2O effect on the occupancy percentage (4)

D

L4

4.3.4

The first part of the graph represents the years 2010 to 2014/ or number of years.    O
The second part of the graph represents Year to Date of September 2014 and September 2015 or the second part represents only ONE year from September to September the next year. O

2O explanation of the first part
2O explanation of the second part.
[Accept There is no relationship between the two parts of the graphs but Max 2 marks] (4)

D

L4

   

[39]

 
 

TOTAL :150

 

MATHEMATICAL LITERACY
PAPER 2
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

INSTRUCTIONS AND INFORMATION

  1. This question paper consists of FOUR questions. Answer ALL the questions.
  2. Use the ANNEXURES in the ADDENDUM to answer the following questions:
    • ANNEXURE A for QUESTION 3.2
    • ANNEXURE B for QUESTION 3.3.1
    • ANNEXURE C for QUESTION 3.3.3
    • ANNEXURE D for QUESTION 4.1
    • ANNEXURE E for QUESTION 4.3
  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 an approved calculator (non-programmable and non-graphical), unless stated otherwise.
  6. Show ALL calculations clearly.
  7. Round off ALL final answers appropriately according to the given context, unless stated otherwise.
  8. Indicate units of measurement, where applicable.
  9. Maps and diagrams are NOT drawn to scale, unless stated otherwise.
  10. Write neatly and legibly.

QUESTIONS 

QUESTION 1
1.1 

In a national science olympiad the rules state that each school may enter a maximumof three learners (participants). TABLE 1 below shows the relationship between the number of schools entering and the maximum number of participants. 
TABLE 1:   NUMBER  OF  SCHOOLS  AND  MAXIMUM  NUMBER  OF PARTICIPANTS IN THE SCIENCE OLYMPIAD

Number of schools  367 900   B
Number of participants   A 2 700 15 726 

Use the information above to answer the questions that follow.
1.1.1 Determine the missing values A and B. (4)
1.1.2 Each school must have ONE teacher who invigilates the writing of the olympiad. Calculate the number of schools that entered the olympiad if a total of 32 712 people were involved on the day the olympiad was written. (3)
1.2

Matuli, Bianca and Khotso wrote some practice tests at their school. Their percentage marks are given in the table below.
TABLE 2: PERCENTAGE MARKS FOR PRACTICE TESTS

Matuli   53  48  62  80  48 58 72 48 70  86 
Bianca  36  42  48  58 60 61 62  76  86  
Khotso   30  47  C  55 60 60 68  68  70  90

 NOTE:

  • Bianca's median percentage mark is 60%.
  • Matuli's mean percentage mark is 62,5%.
  • Khotso's median percentage mark and range are both 60% and the marks are ordered.

Use the information above to answer the questions that follow.
1.2.1 Calculate Matuli's median percentage mark.  (4)
1.2.2 Calculate Bianca's mean percentage mark (3)
1.2.3 The box and whisker diagram below represents the spread of Khotso's percentage marks.
1.2.3 KUGJHGAD
Determine the missing value C, the lower quartile mark, if Khotso's interquartile range (IQR) is 16.
The following formula may be used:
IQR = Upper quartile — Lower quartile      (3)
1.2.4 Bianca stated that Matuli performed better than she did in the practice tests. Give TWO possible reasons to support Bianca's statement.   (4)
1.3 

45  hundred thousand students  from  25  different countries participated in an-international mathematics olympiad. There were  171 Indian students who received awards.
Winners received the following prizes:

  • Rs50 000 and a gold medal for first position
  • Rs25 000 and a silver medal for second position
  • Rs10 000 and a bronze medal for third position

1.3 JHGJHGJHA
[Source: https://yourstory.com/2017/06/indian-students-international-olympiadf]

NOTE:

  • Rs is the symbol for Indian rupees.
  • Conversion rates: 1 US dollar      63,41 Indian rupees
    1 South African rand     0,081 US dollar

[Source: x-rates.com/calculator, 2018/01/04]

Use the information above to answer the questions that follow.
1.3.1 Vijay stated that the probability (as a percentage) of randomly choosing an Indian student that received an award out of the total number of students was less than 0,004%. Determine, showing ALL calculations, if his statement is correct. (5)
1.3.2 Determine the difference     (in South African rand) between the amounts received for 1St position and 3rd position. (5)
1.3.3 Currently bank notes in India are issued in the following denominations:

Rs10;  Rs20;  Rs50;  Rs100;  Rs200;  Rs500;  Rs2 000

Vijay bought a tablet worth Rs2 440. He paid for it with TWO Rs2 000 bank notes. He stated that he would receive a minimum of 6 bank notes as change. Verify whether his statement is valid.    (4) [35]

QUESTION 2
2.1 
2.1 KJHUYGA
Use the information above to answer the questions that follow.
2.1.1  Zanele enters the garage through the side door. Determine on which side of Zanele the garage door will be found. (2)
2.1.2  On a scaled drawing of the garage, the width is 140 mm.
Determine:

  1. The scale of the drawing   (3)
  2. The length (in cm) of the garage on the scaled drawing (3)

2.1.3 Determine the total area (in mm2) of the openings (unbricked sections) of the garage walls.  (6)
2.1.4 Calculate the number of brick pallets needed to build this garage if the total area of the bricked section of the garage is 41 410 000 mm`.   (6)
2.1.5 Japie states that the bricks, doors and window will cost him approximately R12 500.  Verify     (showing  ALL  calculations)  whether his statement is valid.  (4)
2.1.6         Japie borrowed R35 000 from an uncle to complete the building of the garage. The terms for the loan were to repay the full amount including simple interest at a rate of 8% per annum after 7 months. Calculate how much he must pay back 7 months after the loan was granted. The following formula may be used:
Simple interest = principal amount x interest rate x time in years    (3)
2.2 

A gutter will be fitted to the length of one side of the garage roof to collect and store rainwater, as shown in DIAGRAMS 2 and 3.
2.2 JHGGFAUD

2.2.1 Calculate how much lower (in mm) the gutter will be at the end where the downspout is, in other words calculate D in DIAGRAM 2.    (6)
2.2.2  Calculate the capacity      (in litres) of a cylindrical water tank with a diameter of 80 cm and a height of 1,2 m.
The following formula may be used:
Volume of a cylinder = ir x (radius)2 x height using 2t = 3,142   (5) [38]

QUESTION 3
3.1. 

TABLE 3 below shows the distribution of revenue among the different government sectors in South Africa for the period 2013/14 to 2017/18. Some values have been omitted
TABLE 3: DISTRIBUTION OF REVENUE AMONG THE DIFFERENT GOVERNMENT   SECTORS   FOR   THE   PERIOD 2013/14 TO 2017/18

      R(billion)   
Government Sectors     2013/14     2014/15  2015/16 2016/17 2017/18 
National 453,4 490,00 546,1 557,5  .....
Provincial 410,6 439,5 471,4 500,4 .....
Local ..... 87,6 98,3 103,3 ......
  TOTAL E 1017,1 1115,8 1161,2 1240,5

[Adapted from Treasury.gov.za]

Use the information above to answer the questions that follow.
3.1.1 When the revenue of the local government sector was compared to the provincial government sector in 2013/14, it was found to be 20,12% of the provincial sector. Calculate the missing value E, the total revenue for the period 2013/14.   (4)
3.1.2 Determine  the  percentage  by  which  the  revenue  for the national government sector increased during the period 2014/15 to 2015/16.  (3)
3.1.3 Explain why the national government sector received more revenue than the other sectors.     (2)
3.1.4 Calculate the revenue allocated to the local government sector for the period 2017/18 if the distribution of revenue among the different sectors was done according to the following ratio:

Local : Provincial : National = 1 : 4,784 : 5,246      (4)

3.2 One of the major sources of revenue for the government is personal income tax. The tax table for 2017/2018 is given on ANNEXURE A. Landy,  a 57-year-old  lady,  received  an average monthly taxable income of R46 308,50 for the 2017/2018 tax year and she is not a member of a medical aid scheme. Determine how much tax Landy has to pay every month.  (7)
3.3

Landy has a contract to deliver    2 750 wooden toy storage boxes without lids.
The dimensions of a sheet of plywood and a box are shown below.
3.3. IUYGUYGAGD
[Source: www.yorktimber.com]
ANNEXURE B shows the different parts that wooden toy storage boxes are made of from ONE sheet of plywood.

Use the information above and ANNEXURE B to answer the questions that follow.
3.3.1 Determine how many complete boxes can be cut from ONE sheet of plywood.   (2)
3.3.2 Verify, showing ALL calculations, whether 687 sheets of plywood will be enough to make 2 750 boxes.   (3)
3.3.3 Landy employed a carpenter (a person who works with wood) to make the 2 750 boxes for her. Her total cost for the manufacture of the boxes consisted of fixed costs (labour) plus variable costs (plywood, varnish, screws and glue). She drew income and total cost graphs, as shown on ANNEXURE C. ANNEXURE C shows the projected income and total cost for only 2 000 boxes.

  1. Calculate the income amount per box. (3)
  2. Estimate the number of boxes required to break even. (2)
  3. Landy projected the total profit from ALL the boxes to be R367 500. (8)  [38]
    Verify if her projection is valid.

QUESTION 4
4.1

The Kruger National Park is a popular tourist destination. Some information about the park is given below:
The speed limit inside the park is:

  • 50 km/h on tarred roads
  • 40 km/h on gravel (dirt) roads

Gate times:

  • Entrance gates open at 05:30
  • Camp gates open at 04:30
  • All gates close at 18:30

ANNEXURE D shows a part of the map of the Kruger National Park and TABLE 4 shows the distances between the camps and gates. 

Use the information above and ANNEXURE D to answer the questions that follow.
4.1.1   Give TWO possible reasons why there are specific times for the gates to open and close.  (4)
4.1.2 Ludwe enters the Park through the gate located northwest of Crocodile Bridge, which has no camp. He travels in as easterly direction until he finally reaches the first camp. Write down Ludwe's final destination.    (2)
4.1.3 Show (by calculation) that the distance shown on the distance table from  Orpen to Lower Sabie, is the route via Satara.    (3)
4.1.4 Determine the difference in the number of main camps and other camps on this part of the map.   (2)
4.1.5 Ludwe left Skukuza at 17:03 and had to be out of the park through the Malelane Gate before 18:30 the same day. The distance on the gravel road is the same as the distance on the tarred road. Calculate at what time he would reach the Malelane Gate if he used the gravel road.
The following formula may be used:
Distance = speed X time    (6)
4.1.6 Give a possible reason why most people visiting the park prefer to travel on the gravel roads than on the tarred roads.    (2)
4.2 

TABLE 5 below shows the number of employees at the South African National Parks (SANP), according to race and employment levels.
TABLE 5:  NUMBER OF SANP EMPLOYEES ACCORDING TO RACE AND EMPLOYMENT LEVEL
      EMPLOYEES BY RACE  
Employment level Black Afican Colored Indian  White   Total 
 A  1312  141  0  3  1456
 B  1657  ...  4  49  2111
 C  342  80  2  90  514
 TOTAL  3311  622  6  142  4081
[Source: sari p arks.co.za]

Determine the probability of randomly selecting the following:
4.2.1  An Indian employee from the SANP employees   (2)
4.2.2  A Coloured employee from the total employment level B employees   (3)
4.3  

Bali  is  an  international  tourist  destination that  consists  of different regions. The graphs  on ANNEXURE E  show the average daily rate and percentage occupancy.
[Percentage occupancy is the percentage of all rental units that are rented out at a given time.]

Use ANNEXURE E to answer the questions that follow.
4.3.1 Calculate the difference between the average daily rates in Jimbaran and Kula during 2010.  (3)
4.3.2 The average daily rate in Kula remained almost the same from 2011 to 2014. Explain your observations regarding the percentage occupancy in Kula during the same period.   (4)
4.3.3 Compare the relationship between the average daily rates and the percentage occupancy in Ubud for the year to date (YTD) Sep. 2014 to YTD Sep 2015.   (4)
4.3.4  Explain  why  both  graphs  have  a  gap  between  2014  and  YTD September 2014.   (4) [39]

TOTAL:  150

MATHEMATICAL LITERACY
PAPER 1
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

INSTRUCTIONS AND INFORMATION

  1. This question paper consists of FIVE questions. Answer ALL the questions.
  2.                          
    • 2.1 Use the ANNEXURES in the ADDENDUM to answer the following questions:
      • ANNEXURE A for QUESTION 2.1
      • ANNEXURE B for QUESTION 4.1
      • ANNEXURE C for QUESTION 5.2
    • 2.2 Answer QUESTION 5.1.8 on the attached ANSWER SHEET.
    • 2.3 Write your centre number and examination number in the spaces on the ANSWER SHEET. Hand in the ANSWER SHEET with your 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 an approved calculator (non-programmable and non-graphical), unless stated otherwise.
  6. Show ALL calculations clearly.
  7. Round off ALL final answers appropriately according to the given context, unless stated otherwise.
  8. Indicate units of measurement, where applicable.
  9. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise.
  10. Write neatly and legibly.

QUESTION 1
1.1
 1.1 mnbvgsafghc
[Adapted from www.graphics24.co.za]
1.1.1  State the type of graph used to represent this data.   (2)
1.1.2  Arrange Cape Town's percentage increase in descending order.    (2)
1.1.3  Identify the step that indicates the largest increase    (in rand) in Cape Town's water tariff from 2016/17 to 2017/18.   (2)
1.1.4  Determine in which ONE of the two cities water is more expensive.   (2)
1.1.5  Calculate the cost of 3,5 kC of water in Johannesburg during 2017/18.    (2)
1.1.6 Is the data given categorically or numerically?   (2)
1.2 
1.2 kjhjyagcd
[Adapted from www.pricecheck.co.za]
1.2.1 Explain the term cost price.   (2)
1.2.2  Calculate the cost price of CLOCK A, excluding VAT.     (2)
1.2.3 Write down the time on CLOCK B, using the 24-hour format if it represents the time in the evening.   (2)
1.2.4  Calculate the total profit made if all four clocks are sold.   (2)
1.3
1.3 kjbhjhagd
[Adapted from www.pricecheck.co.za]
Use the photograph and information above to answer the questions that follow.
1.3.1 Convert the total mass of the fruit into kg.  (2)
1.3.2 The pear is removed from the kitchen scale. Write down the new reading (in grams) shown on the kitchen scale.  (2)
1.3.3  Show how the mass of 202 g for the peach was calculated.  (3)
1.3.4 Determine the probability of randomly selecting a banana from the fruit placed on the kitchen scale.  (2)
1.3.5  Write down the simplified ratio of the total mass of fruit to the total mass of the pear.  (2) [31]

QUESTION 2
2.1 

Mrs Chan, a teacher from Brakpan, received a monthly statement from GEMS (Government Employee Medical Scheme), as shown in ANNEXURE A. Mrs Chan has one dependent, her son Lee, on her medical aid. 

Use ANNEXURE A to answer the questions that follow.
2.1.1 Which month is covered by this statement?  (2)
2.1.2 State why the member had to pay R445,10 to the supplier.  (2)
2.1.3 Write down the name of the general practitioner visited.  (2)
2.1.4 Calculate the new price of the acute medication (under the tariff code) if the price increased by 6,3%.  (3)
2.1.5 Calculate the total amount of tax claimable in the previous statements if the tax claimable is the amount paid by the member directly to the supplier.  (2)
2.1.6 Define the term debit within the context of the statement.  (2)
2.1.7 Show how the total amount of R479,75 was calculated.  (2)
2.2
2.2 kjhjad
[Source: www.wish.com
Study the advertisement above and answer the questions that follow.
2.2.1 What does the acronym VAT stand for?     (2)
2.2.2 Calculate the amount of VAT payable on the old price for the PPH.  (3)
2.2.3 Calculate the difference between the new price and the old price of the UTM.     (2)
2.3

John told his friend Errol, who lives in Botswana, about the profit he made when he sold the ultra-thin mouse (UTM).
Errol decided to join John as a business partner.
John and Errol then decided to share their profit in the ratio 3 : 2.
TABLE 1 below shows the currency conversion factors for a few of the currencies in terms of the South African currency on 7 January 2018.
TABLE 1: CURRENCY CONVERSION FACTORS

CURRENCY     UNITS PER ZAR   ZAR PER UNIT 
 Algerian dinar     9,546785  0,104747
 Botswana pula(BWP)    0,797782       1,253475
 Brazilian real       0,262231    3,813432
 British pound    0,059861     16,705357
 Mauritian rupee    2,726789     0,366732
 Japanese yen   9,111043   0,109757

 

[Source: www.x-rates.com

Use the table and the information above to answer the questions that follow.
2.3.1  Write down the exchange rate between the Botswana pula (BWP) and the South African rand (ZAR).    (2)
2.3.2 List the currencies which are weaker than the ZAR.     (3)
2.3.3 Each mouse costs R13,00 and is sold for BWP48.

  1. Convert R13,00 into BWP    (2)
  2. Calculate the total number of UTMs sold if a total profit of BWP7526 was made.     (4)

2.3.4 Calculate the amount (in BWP) that Errol will receive if a total profit of BWP7526 was made.    (3)
2.3.5 Show how the Algerian dinar of 0,104747 ZAR per unit was obtained.    (2) [38]

QUESTION 3
3.1
3 kjhjugyad
[Adapted from www.pintrest.com
Use the information and photographs above to answer the questions that follow.  (2)
3.1.1 Calculate the number of pallets needed to produce 12 tables.  (3)
3.1.2  Calculate the total height of the table, excluding the glass top, if the leg, including the wheel, is 200 mm high.  (3)
3.1.3 Calculate the area (in mm2) of the glass top.
You may use the formula:
Area = length x width   (3)
3.1.4  For safety reasons a rubber strip will be placed around the edge of the glass top. Calculate the total length (in mm) of rubber required for this purpose. (3)
3.2
3.2 kjhgah
[Adapted from www.pintrest.com]
Use the information above to answer the questions that follow.
3.2.1  The holder will have a decorative ribbon around it. The ribbon will be 2 cm longer than the circumference of the holder so that a bow can be tied in the ribbon. Calculate the total length (in cm) of ribbon needed for one holder. You may use the following formula:
Total length of ribbon = ir x diameter + overlap, and using it = 3,142   (4)

3.2.2 

  1. Write down the inner radius (in mm) of the cylindrical holder.   (2)
  2. Hence, calculate the space needed in the holder to fit exactly 8 coasters.

You may use the following formula:
Volume of cylinder = it x radius2 x height; and using it = 3,142    (4) [21]

QUESTION 4
4.1

Crazy Daisy Coffee Shop is situated in the north wing of a shopping mall. The layout plan (drawn to scale) of the shopping mall is given in ANNEXURE B. 

Use ANNEXURE B to answer the questions that follow.
4.1.1  Write down the shop number of Crazy Daisy Coffee Shop.   (2)
4.1.2  State which parking area is closest to Toy World.  (2)
4.1.3 Write down the name of the shop which has the biggest floor area.  (2)
4.1.4 The manager of shop 18 ordered a cup of coffee and a slice of cake to be delivered by Crazy Daisy Coffee Shop. Give the delivery man a set of directions from Crazy Daisy Coffee Shop up to the entrance of shop 18.    (4)
4.1.5  Calculate the total number of doors shown on this layout plan.   (2)
4.1.6  Write down the probability of randomly selecting a shop that has TWO door entrances.   (2)
4.1.7 Determine the probability of randomly selecting a shop that is NOT labelled with an even number.  (2)
4.2
4.2 khbjhbad
[Adapted from www.shopkeep.com
Use the floor plan above to answer the questions that follow.
4.2.1  Explain the meaning of the term floor plan.   (2)
4.2.2  Identify the room labelled A. (2)
4.2.3Give the general direction of the kitchen from the front door.  (2)
4.2.4  The measured width of the coffee shop is 70 mm. The actual width is 15 m. Determine the scale (rounded off to the nearest whole number) of the floor plan. (3) [25]

QUESTION 5
5.1 

Statistics South Africa (STATSSA) collects and releases data based on passenger transport annually.  TABLE      2 below shows the    2016 data for land passenger transportation.
TABLE 2: 2016 DATA FOR LAND PASSENGER TRANSPORT 
    LAND TRANSPORT    TOTAL LAND  
  RAIL     ROAD 
  Passenger journeys in thousands  Income in millions (R)   Passenger  journeys in thousands  Income in millions (R)    Passenger  journeys in thousands     Income in millions (R) 
 JAN.  30 526   238  24 279  748  54 805  986
 FEB.   36 528   266   27 684   757  64 212  1 023
 MAR.  34 250   254   30 277   869  64 527    1 123
 APR.     32 940  238    24 268  743  57 208  981
 MAY     32 372     233  25 940    770 58 312       1 003
JUN. 32 741 216  25 308  790  58 049  1 006
JUL.  31 792    247  23 609 768  55 401  1 015
AUG.    33 550  251 24 835  769  58 385 1 020
SEP.  38 024  275    27 144  836  65 168    1 111
OCT. 35 802  269  24 304  771  60 106  1 040
NOV.    34 700  254  25 225  782  59 925 1 036
DEC.  23 592  198  22 313 801  45 905  999
TOTAL 396 817 ........ 305 186 9 404   702 003   12 343

 

[Adapted from www.statssa.co.za]

Use the table above to answer the questions that follow.
5.1.1 Write down the month with the highest income for rail transportation.  (2)
5.1.2 Calculate the mean monthly income for rail transportation.    (3)
5.1.3 Calculate the road transportation income for April as a percentage of the total land income.     (3)
5.1.4 Write down the total number of land passenger journeys for December.  (2)
5.1.5 Write down (in words) the total number of passenger journeys for September.   (2)
5.1.6 Calculate the median total land income.       (3)
5.1.7  Write down the probability, as a decimal, of randomly selecting a month when the rail income for passenger transport was less than R200 000 000.    (3)
5.1.8  A bar graph showing the monthly income for road transport for the last six months of the year, is drawn on ANSWER SHEET 1. On the same set of axes, draw another bar graph representing the monthly income for rail transport for the last six months of the year.   (6)
5.2 The pie charts on ANNEXURE C show the different sources of income for households in the Western Cape and the Northern Cape in 2016.
Use ANNEXURE C to answer the questions that follow.
5.2.1 If the total number of households in the Western Cape was 2 768 000 during 2016, calculate the number of households that depend on grants as a source of income.  (3)
5.2.2 Identify the THIRD HIGHEST source of income in the Western Cape.          (2)
5.2.3 Calculate the difference between the number of households in the Western Cape and the Northern Cape that depended on business as a source of income for 2016. (3)
5.2.4 Determine the percentage (to TWO decimal places) of remittances in the Northern Cape if there were 532 000 households.   (3) [35]

TOTAL:  150

ANSWER SHEET 1
QUESTION 5.1.8
CENTRE NUMBER:
EXAMINATION NUMBER:
answer sheet 1

VISUAL ARTS
PAPER 1
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

INSTRUCTIONS AND INFORMATION 
In this examination you must demonstrate the following skills: 

  • Using the correct art terminology 
  • Using and implementing visual analysis and critical thinking
  • Writing and researching within a historical and cultural context
  • Placing specific examples in a cultural, social, political and historical context
  • Understanding distinctive creative styles 

Read the following instructions before deciding which questions to answer. 

  1. This question paper consists of EIGHT questions. 
  2. Answer any FIVE questions for a total of 100 marks.  
  3. Number the answers correctly according to the numbering system used in this  question paper.
  4. Questions appear on the left-hand pages, with visual sources on the  right-hand pages. 
  5. Ensure that you refer to the visual sources reproduced in colour where  required. 
  6. Information discussed in one answer will NOT be credited if repeated in other  answers. Cross-referencing of artworks is permissible. 
  7. Name the artist(s) and title of each artwork you discuss in your answers.  Underline the title of an artwork or the name of a building. 
  8. Write in a clear, creative and structured manner, using full sentences and  paragraphs according to the instructions of each question. The listing of  facts/tables is NOT acceptable. 
  9. Use the following guidelines for the length of your answers. Note the mark  allocation.
    • 6–8 marks: a minimum of ½–¾ page (paragraph)
    • 10–14 marks: a minimum of 1–1½ page(s) (short essay)
    • 20 marks: a minimum of 2 pages (essay)
  10. Write neatly and legibly.

QUESTIONS 

ANSWER ANY FIVE QUESTIONS. 
QUESTION 1: THE VOICE OF EMERGING ARTISTS 
Read the poem below and answer the questions. 

TRAVEL – Edna St Vincent Millay 

The railroad track is miles away,  
And the day is loud with voices speaking,  
Yet there isn't a train goes by all day  
But I hear its whistle shrieking. 

All night there isn't a train goes by,  
Though the night is still for sleep and dreaming, 
But I see its cinders red on the sky,  
And hear its engine steaming. 

My heart is warm with friends I make,  
And better friends I'll not be knowing;  
Yet there isn't a train I wouldn't take,  
No matter where it's going.  

1.1 Visualise the poem above and select ONE phrase for EACH artwork  (FIGURE 1a and FIGURE 1b). Motivate your choice by referring to the  imagery, mood and atmosphere of the artwork. (6) 
1.2 Compare the imagery in EACH artwork by referring to the focal point,  composition and use of colour. (6) 
1.3 Interpret the work of ONE artist you have studied, who comments on his/her  daily experiences. 
Include the following in your answer: 

  • Influences 
  • Formal art elements 
  • Media and technique 
  • Style 
  • Possible messages/meanings (8) [20]

1A HBJHGAJD
FIGURE 1a: Lionel Davis, Train Ride, linocut, 2012.
1B JHHVABJA
FIGURE 1b: Ernst Ludwig Kirchner, Königstein Train Station, oil on canvas, 1916.

QUESTION 2: SOUTH AFRICAN ARTISTS INFLUENCED BY AFRICAN AND/OR  INDIGENOUS ART FORMS  

Pablo Picasso's artwork Les Demoiselles d'Avignon (FIGURE 2b) is regarded as one of  the most important artworks of the 20th century and is the first international work to  show an extensive African influence, whereas Irma Stern had first-hand experience of  Africa due to her extensive travels around this continent.

2.1 Both artists used the nude body. How do the composition and mood of  FIGURE 2a and FIGURE 2b differ? (4) 
2.2 Discuss the style with which, and the manner in which, the artists approached  their subject matter. (4) 
2.3 Discuss TWO artworks by different artists whose work shows evidence of an  African/indigenous influence.  
Use the following guidelines: 

  • Influences 
  • Style and technique 
  • African signs/symbolism  
  • Possible messages/meanings (12) [20]

2A KJHGADA
FIGURE 2a: Irma Stern, The Hunt, oil on canvas, 1929.
2B MHVJGFJA
FIGURE 2b: Pablo Picasso, Les Demoiselles d'Avignon, oil on canvas, 1907.

QUESTION 3: SOCIO-POLITICAL ART, INCLUDING RESISTANCE ART OF THE  1970s AND 1980s 

Debris (rubbish/trash) and unwanted objects are used by both Penny Siopis and  Fabrice Monteiro to comment strongly on sociopolitical issues in their artworks.

3.1 Compare FIGURE 3a and FIGURE 3b. 
Refer to the following guidelines: 

  • The placement/positioning and significance of the figure in EACH work
  • The purpose of the drapery, or the lack thereof, in FIGURE 3a and  FIGURE 3b  
  • The relevance of the title of EACH artwork  
  • What social issues has the artist addressed in FIGURE 3a and  FIGURE 3b? 
  • Identify any object(s) that had been thrown away in FIGURE 3a and  recycled in FIGURE 3b. Motivate your selection. (8) 

3.2 Discuss TWO artworks you have studied which reflects resistance/ sociopolitical issues. (12) [20]
3A JHVGHFAH
FIGURE 3a: Penny Siopis, Piling Wreckage upon Wreckage, oil on canvas, 1989. (Wreckage: the remains of something that has been badly damaged) 
3B JHGVFAVD
FIGURE 3b: Fabrice Monteiro, The Prophecy Series, 'Untitled', photograph, 2014. (Prophecy: a prediction of what will happen in the future)

QUESTION 4: ART, CRAFT AND SPIRITUAL WORKS MAINLY FROM RURAL SOUTH AFRICA 

Esther Mahlangu comes from a Ndebele background with a rich tradition of arts and  crafts (FIGURE 4a). However, she has also become an acclaimed visual artist  exhibiting all over the world using her familiar patterns and designs in a contemporary  way.

4.1 What would you see as the characteristics of the work of Esther Mahlangu? Consider the following: 

  • Art elements 
  • Materials and techniques  
  • Style and context 
  • The 'connection' between the past and the present in her artworks (10) 

4.2 Discuss the work of TWO art, craft or spiritual artists who have used traditional  methods to create their artworks.  
Refer to the following in your discussion: 

  • Materials and techniques  
  • Possible influences 
  • Themes/subject matter 
  • Possible messages/meanings  
  • How these works have been influenced by the artists' cultures (10) [20]

4A HGFHGAD
FIGURE 4a: Esther Mahlangu in front of her Ndebele homestead, Mpumalanga, 2007.
4B JHFGGFAJD
FIGURE 4b: Esther Mahlangu photographed at her 80th birthday, solo exhibition,  Irma Stern Museum in Cape Town, South Africa, 2015.

QUESTION 5: MULTIMEDIA AND NEW MEDIA – ALTERNATIVE CONTEMPORARY  AND POPULAR ART FORMS IN SOUTH AFRICA 

The heritage of Surrealism is still being used by contemporary artists through their  juxtaposition/contrast of different materials and unrelated images.

5.1 Discuss the juxtaposition/contrast in FIGURES 5a to 5d by referring to the  following: 

  • Symbolism and imagery 
  • Materials and textures 
  • Possible meaning and messages (10) .  

5.2 Interpret any TWO artworks by different South African artists who use  alternative/new media in search of ways to communicate issues. (10)  [20]
5A JHGHFVAD
FIGURE 5a: Max Ernst,  Sacred Conversation,  collage photomontage, 1921. 
5B JHFGFADK
FIGURE 5b: Edward Kienholz, John Doe, oil paint, metallic paint, resin, plaster and  graphite on mannequin parts with wood,  metal, plastic, paper, rubber and stroller, 1959. 
5D BJHGGHFJAD
FIGURE 5c: Patrick Bongoy, Revenants III, mixed media, recycled rubber and hessian  on a fiberglass cast, 2017. 
5D BJHGGHFJAD
FIGURE 5d: Nicholas Hlobo, Ndiyafuna (I Am  Looking for Something), fibreglass, rubber  inner tube, ribbon, jeans, sneakers, lace  and wood, 2006.

QUESTION 6: POST-1994 DEMOCRATIC IDENTITY IN SOUTH AFRICA 

South Africa's democracy is based on a compromise between diverse political groups  and the acceptance of our differences. – William Gumede

6.1 Discuss how Witbooi in FIGURE 6a sees democracy in South Africa by  referring to the following: 

  • Colour 
  • Influences 
  • Meaning and symbolism of the:
    • Blindfolded figure 
    • Scales
    • Tightrope
    • Images in the background
  • Different styles in the artwork 
  • Comment on the message the artist wanted to convey. (10) 

6.2 Analyse the work of any TWO artists you have studied, whose works  comment on the post-1994 identity of South Africa. 
You may use the following ideas in your answer: 

  • Content of artworks and images  
  • Medium, style and techniques 
  • How the artists reflect their own questioning of the world and the spaces  they occupy in South Africa, both physically and emotionally. (10) [20]

6A MHGVFJHA
FIGURE 6a: Khaya Witbooi, Below the Law, stencilling and paint, 2014.

QUESTION 7: GENDER ISSUES: MASCULINITY AND FEMININITY 

Rather than following traditional gender roles, people interpret it in a personal way.  As a result, gender roles and stereotyping are fading and pushing the boundaries of  what it means to be feminine or masculine.  

Discuss the statement above and write an essay in which you comment on the way in  which these gender boundaries are being questioned/pushed. 
Refer to FIGURE 7a and FIGURE 7b, as well as any TWO artists who you have  studied who comment on gender to substantiate your answer. 
You may use the following as a guideline in your essay: 

  • Significance of colour  
  • Imagery and the possible interpretations thereof 
  • How the artists portray the attributes of masculinity and/or femininity:
    • Comment on the word play of 'chic(k)' in the title of FIGURE 7a
    • The significance of the clothing 
    • The mood created through facial expressions
  • Relevance of the posture/gesture [20]

7A MHVHGFHGAD
FIGURE 7a: Nicholas Allen, L'Hommage à Ingres: African Chic(k):  Ms Tshegofatso Phage Seated, oil on canvas, 2013. 
7B HJGJFGA
FIGURE 7b: John Kirby, Self-portrait, oil on canvas, 1987.

QUESTION 8: ARCHITECTURE IN SOUTH AFRICA 

Each new situation requires a new architecture. – Jean Nouvel 
Housing has become the biggest social problem in South Africa, with many architects who focus on designing alternative, affordable structures. 

8.1 Refer to the statement above and the images in FIGURES 8a and 8b and  write a short essay in which you comment on how 'new architecture' is being used for shelter and accommodation in South Africa. 
Respond to the following in your answer: 

  • The positive and negative aspects of using shipping containers as the  answer to the housing crisis in South Africa 
  • Compare FIGURES 8a and 8b by discussing the aesthetic appeal of both  buildings due to their modification.  
  • If you had the opportunity to live in a shipping container, what  modifications would you suggest to make your home as functional as  possible? (8) 

8.2 Discuss the work of any architect you have studied whose work reflects a  new approach to architecture that could satisfy the needs of a growing  South African society. 
Use the following guidelines to support your answer: 

  • Site and positioning  
  • Use of building materials 
  • Design and functionality  
  • Inspiration and influences  
  • How the architect has specifically addressed/considered the needs of the South African society

8A KHGJFGJAD
FIGURE 8a: Citiq Property Services (Pty) Ltd, Mill Junction, Johannesburg, Newtown, old mill and shipping containers, 2014. 
8B JHGJHADGB
FIGURE 8b: Espace Mobile designed this retro-looking prefabricated house. It is located in the Austrian countryside, 2007. 

TOTAL: 100

VISUAL ARTS
PAPER 1
GRADE 12  
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

INSTRUCTIONS AND INFORMATION 
Read the following instructions carefully before commencing marking: 

  1. The marking guideline consists of EIGHT answers. Candidates had to answer  any FIVE questions for a total of 100 marks. 
  2. It is MOST IMPORTANT that allowance is made for the learners in many  instances:
    • Candidates must be given credit for providing their own opinions and  ideas in their answers. 
    • Credit must also be given for lateral thinking.
    • It is also important that arguments and statements are reasoned and  qualified by reference to specific factors.
  3. Questions and subsections must be numbered clearly and correctly. Bullets  usually act as guidelines to help structure learners' answers.
  4. Information and artworks discussed in one answer must not be credited if  repeated in other answers but artworks may be cross-referenced.
  5. Where applicable, candidates must name the artist and title of each artwork  mentioned. Only ONE mark is allocated for the correct artist and title of work.
  6. Where appropriate candidates may discuss both two-dimensional and three  dimensional artworks in any question. 
  7. Remember that many learners will be discussing these examples, never  having seen them before. Markers therefore cannot expect factual,  academic information. They should draw upon their own experiences,  cultures and interpretations of the artworks, within the context of the  question. Therefore markers need to be open-minded and flexible in the  marking process. 

GENERAL INFORMATION FOR MARKERS 

  • This marking guideline is to serve as a guideline for markers as well as a teaching  tool. Therefore, the marking guideline for certain questions is in greater depth, so  that the information may be used as learning material. Other parts of the marking  guideline may merely be a suggested guideline.  
  • NOTE: Markers are encouraged to reward candidates for what they know, rather  than penalise them for what they don't know. 
  • Although the information for the questions is given in point form, candidates must  use an essay/paragraph format discussing their information in a holistic manner. 
  • Candidates must answer all the questions in FULL SENTENCES or  PARAGRAPHS, according to the requirements of each question. Answers in point  form cannot receive full marks. Full marks cannot be given if the title or artist is  incorrect. 
  • Markers must refer to the Visual Arts CAPS document page 45 for a guideline to  assess the levels of achievement.

Copyright reserved Please turn over 

Visual Arts/P1 3 DBE/2018 SCE – Marking Guidelines 

Assessing candidates' ability to analyse and respond to examples of visual culture

ACHIEVEMENT RATING CODE 

TOPIC 3: VISUAL CULTURE STUDIES

Outstanding 

80–100%

  • Demonstrates exceptional ability to respond to and analyse artworks in  relation to their cultural, social, political and historical contexts.
  • Shows outstanding ability in the use of appropriate Visual Arts terminology.
  • Demonstrates extremely well-developed writing and research skills in the  study of art.
  • Shows exceptional insight and understanding and uses divergent approaches. 

Meritorious 

70–79%

  • Demonstrates a well-developed ability to respond to and analyse artworks in  relation to their cultural, social, political and historical contexts.
  • Shows excellent ability in the use of appropriate Visual Arts terminology.
  • Demonstrates highly developed writing and research skills in the study of art.
  • Shows excellent insight and understanding.

Substantial 

60–69%

  • Demonstrates substantial ability to respond to and analyse artworks in relation  to their cultural, social, political and historical contexts.
  • Shows substantial competence in the use of appropriate Visual Arts  terminology.
  • Demonstrates well-developed writing and research skills in the study of art.
  • Shows a good level of insight and understanding.

Moderate 

50–59%

  • Demonstrates moderate ability to respond to and analyse artworks in relation  to their cultural, social, political and historical contexts.
  • Shows moderate competence in the use of appropriate Visual Arts  terminology.
  • Demonstrates competent writing and research skills in the study of art. 
  • Shows a fair level of insight and understanding. 

Adequate 

40–49%

  • Demonstrates adequate ability to respond to and analyse artworks in relation  to their cultural, social, political and historical contexts.
  • Shows adequate competence in the use of appropriate Visual Arts  terminology. 
  • Demonstrates adequate writing and research skills in the study of art.
  • Shows an adequate level of insight and understanding.

Elementary 

30–39%

  • Demonstrates only basic ability to respond to and analyse artworks in relation  to their cultural, social, political and historical contexts.
  • Shows little ability in the use of appropriate Visual Arts terminology.
  • Demonstrates basic writing and research skills in the study of art.
  • Shows an elementary level of insight and understanding. 

Not achieved 

0–29%

  • Demonstrates little or no ability to respond to and analyse artworks in relation  to their cultural, social, political and historical contexts. 
  • Shows extremely limited ability in the use of appropriate Visual Arts  terminology. 
  • Demonstrates limited writing and research skills in the study of art.
  • Shows little or no understanding or insight. 

MEMORANDUM

CANDIDATE MUST ANSWER ANY FIVE QUESTIONS. 
The following mark allocation must be adhered to when only ONE artwork/artist  has been discussed instead of TWO. 

  • 6 marks (max 3) 
  • 8 marks (max 5) 
  • 10 marks (max 6) 
  • 12 marks (max 7) 
  • 14 marks (max 8) 
  • 20 marks (max 12) 

QUESTION 1: THE VOICE OF EMERGING ARTISTS 

The railroad track is miles away,  
And the day is loud with voices speaking,  
Yet there isn't a train goes by all day  
But I hear its whistle shrieking. 

All night there isn't a train goes by,  
Though the night is still for sleep and dreaming,  
But I see its cinders red on the sky,  
And hear its engine steaming. 
My heart is warm with friends I make,  

And better friends I'll not be knowing;  
Yet there isn't a train I wouldn't take,  
No matter where it's going.  

Travel 
Edna St. Vincent Millay

1.1 Candidates must visualise the poem above and select ONE phrase for each  artwork that motivates their choice by referring to the imagery, mood and  atmosphere of the artwork.  
Candidates can select any phrase, however, the selection needs to be  motivated 

  • FIGURE 1a: 'And the day is loud with voices speaking' OR 'My heart is warm  with friends I make'. 
    The figures are represented in a standing position on a train. The black and  white figures can be seen speaking and engaging with friends. 
  • FIGURE 1 b: 'But I hear its whistle shrieking' OR 'Yet there isn't a train I  wouldn't take, No matter where it's going'. The train is seen moving through  the town/landscape with steam billowing from the chimney. The brightly  coloured painting implies a happy and joyful mood. (6)

1.2 Compare the imagery in each artwork by referring to the focal point,  composition and use of colour. 

  • FIGURE 1a: The figure with the handbag is the focal point; however, the  candidate can mention that there is no definite focal point as the eye moves  all over the picture plane. The composition is very claustrophobic,  overcrowded and cramped by the overlapping of the figures in the middle ground. The artwork has a dramatic contrast of black and white with flat tones  (no tonal effect in the colour). The figures are large in comparison to the train  and dominate the composition.
  • FIGURE 1b: The smoke and train form the focal point in the middle of the  composition. The train is very small in relation to the rest of the composition.  The artist uses bold, vibrant and non- representative (arbitrary) colour which  can be seen in the blue roofs and red/pink grass.
    One mark for a comparison/discussion. One mark of composition, one  mark for discussion of colour and one mark for focal point per artwork. (6) 

1.3 Candidates must interpret the work of ONE artist they have studied, who  comments on their daily experiences. 
They can include the following in their answer: 

  • Influences 
  • Formal art elements 
  • Media and technique 
  • Style 
  • Possible messages/meanings (8) [20]

QUESTION 2: SOUTH AFRICAN ARTISTS INFLUENCED BY AFRICAN AND/OR  INDIGENOUS ART FORMS  

Pablo Picasso's artwork Les Demoiselles d'Avignon (FIGURE 2b) is regarded as one  of the most important artworks of the 20th century and is the first international work to  show an extensive African influence, whereas Irma Stern had first-hand experience of  Africa due to her extensive travels around this continent.

2.1 Although both artists have made use of the nude body, how does the  composition and mood differ between FIGURE 2a and FIGURE 2b? 

  • TEACHERS TOOL: Many of Stern's paintings of people are concerned  primarily with the culture rather than the individual. The Hunt was a product of  her journey to Swaziland and Natal during the 1920's. Picasso was influenced  by African sculpture and the main point of Les Demoiselles d'Avignon was to  challenge the viewer's normal assumptions.
  • FIGURE 2a: The composition is very cramped. The smaller figures in the  background create a feeling of depth in the painting, the perspective is  distorted as there is little difference between foreground and background  space.
    The colours don't become less vibrant in the background and some figures in  the background are out of proportion in relationship with each other on the  particular plane of depth. The area of focus appears to be the three figures in  the foreground. The figures are either naked or just wearing a loin cloth  making them vulnerable. A feeling of activity is created by the use of angular  lines often intersecting with each other. The use of bold colour gives a feeling  of joy. The figures seem to be caught off guard which is evident in their facial  expressions and body language.
  • FIGURE 2b: Les Demoiselles d'Avignon has a flatness and two dimensional approach with an absence of perspective. There is an uncomfortable mosaic  of angular and overlapping fragments of five gigantic intrusive female nudes.  The two central women are provocative as they stare expressionlessly at the  viewer, aggressively flaunting their nudity. The overall impression of the  painting is one of vibrant colours and pattern, but one does not feel any  emotions in the subjects and they almost appear like bored models posing for  a fashion shoot. (4) 

2.2 Discuss the style and manner in which the artists have approached their  subject matter. 

  • FIGURE 2a: Irma Stern used expressive brushstrokes, thick paint and bright  colours to show her idealised, view of the world, rather than the suffering of  Africa. The thick paint applied with a palette knife creates a sense of  emotional intensity. She uses decorative curves, lines and S-shapes. She  uses both arbitrary colour and real colour with loosely applied gestural marks.
    The figures are stylised resembling the angularity found in African sculpture.
  • FIGURE 2b: Picasso uses flat, splintered imagery, together with patterns of  light and dark (as opposed to rounded volumes), in order to create a sense of  space and form. The figure (bottom right) is made up of a collage of different  viewpoints of herself, while the others are depicted in a flattened geometric  form. The painting's sharp, almost shard-like pictorial components imbue it  with a disturbing sense of violence and sexual power. (4) 

2.3 Candidates must discuss TWO artworks by different artists whose work  shows evidence of an African/Indigenous influence.  
They may use the following guidelines: 

  • Influences 
  • Style and technique 
  • African signs/symbolism 
  • Possible messages/meanings (12) [20]

QUESTION 3: SOCIO-POLITICAL ART, INCLUDING RESISTANCE ART OF THE  1970s AND 1980s 

Debris (rubbish/trash) and unwanted objects are used by both Penny Siopis and  Fabrice Monteiro to comment strongly on sociopolitical issues in their artworks.

3.1 Candidates must compare FIGURE 3a with FIGURE 3b by referring to the  following guidelines: 
The placement/positioning and significance of the figure in each  work 

  • FIGURE 3a: A mysterious female figure is positioned in the  background of the landscape of an overabundant layered  composition. Her figure is shrouded with white fabric in a classical  Greek style. She holds the draping up in both her hands covering some of the objects in the composition. Perspective has been  accentuated by the extremely small figure on a heap of debris and  objects compacted into a waste-disposable site. The crowded objects  raise questions about relationships of power as well as notions of self,  identity and knowledge. The objects that Siopis uses have their own past that have once  played a role in someone's life. Possessions embody people's  personal memories and experiences but have also become a part of  the wider social history and symbolism. Siopis uses random objects in her painting which comments on  colonialism, gender and other discriminatory practices. She also  comments on the misrepresentation of history by patriarchal Western  society.
  • FIGURE 3b: The large ghostly figure appears in a surreal composition  of a jinn (an ancient supernatural genie) experiencing the ravages of  modern man and placed as focal point on a dumping site. The figure  is rising from the debris wearing a skirt made of waste and plastic  bags. Her headpiece and jewellery have also been made from  recycled materials. The figure is moving towards a vast open  landscape. Grey smoke is seen emerging from the dump site creating  an eerie atmosphere. 

The purpose of the drapery/lack thereof in FIGURE 3a and 3b 
She is holding a large piece of drapery/fabric in both hands which  cascades towards the bottom of the composition. The fabric is used  as a metaphor to reveal or conceal the compacted and heaped  rubbish dump of objects being thrown away by society. 

  • The relevance of the titles of each artwork FIGURE 3a: 'Piling wreckage upon wreckage' The title indicates that the random objects are seen as wreckage of  our society and are piled up. Our attention is focused on the idea that  our society is built up on the debris of our past history. It could also  refer to the misrepresentation of history by Western patriarchal  society. 

 FIGURE 3b: 'The prophecy' 
 The title refers to the figure as a prophet. The prophet's function will   be to deliver a message to the people that if they don't look after the   planet and their surroundings there will be nothing left for the future   generations.  

  • What social issues has the artist addressed in FIGURE 3b and  3b?  Fabrice Monteiro wanted to create awareness about the risk of   modern man's pollution in Africa, highlighting the negative use of   plastic bags and other serious environmental problems.  
  • Identify any object/s that have been thrown away in FIGURE 3a  and recycled in FIGURE 3b. Motivate your selection.  

Candidates can mention any object seen in FIGURE 3a such as vase,  picture frame, paper scroll, flowers, Venus statuette, candelabra,  plastic bags, bottles etc. We live in a consumer society where items  are discarded easily and new things bought just to continue the cycle. (8) 
3.2 Candidates must discuss TWO artworks they have studied, which reflects  resistance/socio- political issues. (12)  [20]

QUESTION 4: ART, CRAFT AND SPIRITUAL WORKS MAINLY FROM RURAL  SOUTH AFRICA 

Esther Mahlangu comes from a Ndebele background with a rich tradition of arts and  crafts (FIGURE 4a). She has, however, also become an acclaimed visual artist  exhibiting all over the world using her familiar patterns and designs in a contemporary  way.

4.1 By discussing FIGURE 4a and FIGURE 4b, candidates must discuss the  characteristics of Esther Mahlangu by referring to the following:  

  • Art elements  

FIGURE 4a: Vertical, horizontal and diagonal lines are used in her  artworks. She creates brightly coloured (red, blue, yellow, green  and purple) geometric shapes which are outlined in black. She also  makes use of white in the background of her works. The repetition  of the lines, shapes and colours create a decorative pattern. The  blankets that the women are wearing are divided up into bands of  red, brown, yellow and blue colour. They are also wearing brightly  coloured jewellery around their necks and legs which are made  from glass beads. 
FIGURE 4b: Vertical, horizontal and diagonal lines are seen in her  artwork on the walls of the gallery and interior of the car. She  creates brightly coloured geometric shapes that cover the surface  of the artwork or specific part of the car's interior. Her shapes are  outlined in black and/or white lines. She uses bright colours e.g.  yellow, blue, green and pink. 

  • Materials and techniques 

FIGURE 4a and FIGURE 4b: Mahlangu applies paint to the plastered surface of the wall of the  house. Black lines are used to outline the different brightly coloured  geometrical shapes. The traditional beadwork is made by hand  stringing different colours of glass beads in different patterns. The  vessel is made from a calabash. 

  • Style and context 

FIGURE 4a: Mahlangu is influenced by her Ndebele traditional  culture which she inherited from her mother and grandmother. The  houses have been painted in the traditional Ndebele geometric  design. The figures wear traditional jewellery made from beads and  copper rings. The vessels used for storage of water etc. are known  as calabashes and these are also used and transformed into works  of art and functional everyday items. 
FIGURE 4b: Mhlangu honours her traditional Ndebele culture by  still wearing a traditional Ndebele outfit although she is standing in  a contemporary art gallery. She wears a traditional brightly coloured  Ndebele blanket with a headpiece and jewellery around her neck  and ankles made from coloured glass and brass. Brightly coloured  geometric shapes and patterns are painted on the interior panels of  the 7 series BMW car. Paintings/artworks with the same designs  can be seen hanging on the gallery walls. 

  • The candidate's understanding of what is meant by the  'connection' between the past and the present in her artworks Her traditional decorative painting has been reused and applied to  many different surfaces e.g. clothing, shoes/sneakers, skateboards,  walls, glass bottles and cars.  

FIGURE 4a: Mahlangu is photographed in front of her traditional  Ndebele homestead wearing an Ndebele outfit. She pours water  from a calabash. The Ndebele clothing and the use of the calabash  is evident of her past/traditions and she still has a connection with  the past as she still uses these items in a modern society. 
FIGURE 4b: Mahlangu is photographed in a contemporary art  gallery where her traditional artworks are exhibited on the walls and  on the interior panels of the BMW. The 'connection' here is made  with the present. She communicates and informs us on the  practices and importance of her culture and the preservation  thereof for future generations. (10) 
4.2 Candidates must discuss the work of TWO art, craft or spiritual artists who  have used traditional methods to create their artworks. They can refer to the  following in their discussion: 

  • Materials and techniques  
  • Possible influences 
  • Themes/subject matter 
  • Possible messages/meanings 
  • How these works have been influenced by the artist's culture (10) [20]

QUESTION 5: MULTIMEDIA AND NEW MEDIA – ALTERNATIVE CONTEMPORARY  AND POPULAR ART FORMS IN SOUTH AFRICA 

The heritage of Surrealism is still being used by contemporary artists through their  juxtaposition/contrast of different materials and unrelated images.

5.1 Candidates must discuss the juxtaposition/contrast in FIGURES 5a-5d by  referring to the following: 

  • Symbolism and imagery: 

FIGURE 5a: Two female figures are seen facing the viewer in an  enclosed space. The dressed figure on the right is headless while the  posing central figure is nude. The central figure, which is the focal  point, is divided into different juxtaposed, unrelated parts. Some body  parts appear to be frayed or x- rayed exposing the nerves and bone.  The body parts give the idea of drawings from a medical/anatomical  journal. The oval disk around the legs, mathematical images in the  abdomen and mechanical object placed on the left side of the face  refer to technology, industrialisation or the horrors of WW1. Two  birds/doves are superimposed over the two figures which could symbolise purity, spirituality or even have a religious connotation. The image becomes dreamlike/fantasy like. 

  • Materials and textures: 

FIGURE 5a: The combination and juxtapositioning of different  mechanical, industrial and anatomical parts is distressing and creates  a mood of discomfort. The use of anatomical/x-rayed images makes  the viewer uncomfortable. 
FIGURE 5b: The artist created a 3- dimensional sculpture using unrelated/ discarded found objects. The mannequin's head and torso  have been splattered with paint and placed within a baby pram creating a shocking and haunting effect. The chest cavity of the torso has been hollowed out and a cross has been placed where the heart should be  The mannequin is propped up against a wooden log.  
FIGURE 5c: Revenants III represents a pregnant figure with a head  emerging from a hessian sack. The hessian sack is a coarsely woven  fabric and is worn as a garment. The sack, disused rubber and  mannequin, imply that people are treated like trash. It de-humanises  the human form, and creates a disturbing work. The rubber flaps  extruding from her frame indicate that she is falling apart or changing  shape. Pieces of rubber protrude from the legs and arms of the  mannequin. It seems like spikes have been driven through the skin. It  invites the viewer to touch the textures as if to soothe the skin. The  rubber chain around her waist extends to the floor also create a tactile  texture. It invites the viewer to feel and identify the material. Hessian, a  coarse woven fabric, is wrapped around the head of the female figure  almost suffocating her. Smooth gold antennae are seen protruding  from her ears
FIGURE 5d: This 3-dimensional sculpture represents a figure bending  over with his/her upper torso concealed in a large bag as if he/she is  looking for something. It almost takes on the resemblance of a  caterpillar. The figure is made from rubber tubing as well as his  underwear. The figure which is made predominately from black rubber  tubing wears a pair of blue jeans halfway down his buttocks with his  boxers revealed- making reference to certain fashion trends.  

  • Possible meaning and messages:  

FIGURE 5a: The juxtaposition of different images to create a fantasy,  dreamlike Surrealist artwork.  
FIGURE 5b: A powerful and haunting image that reminds us of death. 
FIGURE 5c: The human form appears to be de-humanised. The  hessian fabric is wrapped around the head almost suffocating the  sculpture. The rubber chain is also an indication of her being contained  and imprisoned. The chain could represent an umbilical cord. The  texturised rubber pieces protruding from her legs and arms could refer  to her being tortured and distressed. 
FIGURE 5d: The artists' interpretation of the artwork is that of a  creature swallowing a person. The idea of searching for or concealing  one's identity is created. The idea of the known and unknown, being  ejected or consumed, inside-outside, comfort, shelter, contrast,  perfection, sacred space, pleasure, fantasy, duality are created. The  sculpture makes the viewer feel uncomfortable and claustrophobic.  The meaning is ambiguous and might refer to sextuality and cultural  practices. (10) 
5.2 Candidates must interpret any TWO artworks by different South African  artist/s who use alternative/new media in search of ways of communicating  pressing issues. (10) [20]

QUESTION 6: POST-1994 DEMOCRATIC IDENTITY IN SOUTH AFRICA 

South Africa's democracy is based on a compromise between diverse political groups  and the acceptance of our differences. – William Gumede

6.1 Candidates must discuss how Witbooi sees South Africa's democracy by  referring to the following: 

  • Colour: The monochromatic greys and blacks of the figure, create an eerie mood. It can also imply the classical heritage and the symbolism of Lady Justice. The grey tones of the figure contrast sharply with the vibrant  pink of the graffiti in the background. The grey and khaki squares forming  the background of the graffiti create a rhythmic pattern. Black is used in the  typography/text of the graffiti and the masked figures. 
  • Influences: The artist could be influenced by collage-style  paintings/artworks, graffiti, pop art, and hip-hop culture. 
  • Meaning and symbolism of:
    • The blindfolded figure: The blindfolded female figure (representing  Lady Justice) walks on a tight rope attempting to balance the scales  she is carrying. Being blindfolded makes it dangerous to walk on a  suspended tight rope. She could represent the strength of South  African women walking blindly into a new democracy. She is fully  clothes and her dress is made of soft fabric, and draped in a  classical Roman fashion. The blindfolded woman represents all men  and women of society who were handcuffed by a discriminating law.  A shackle on her right wrist could symbolise that she has broken  free, being above the law but still on a tight rope of uncertainties. 

TEACHING TOOL: The blindfold represents impartiality, the ideal  that justice should be applied without regard to wealth, power, or  other status. The Roman inspired garment symbolises the status of  the philosophical attitude that embodies justice. 

    • The scales: The figure carrying the scales is a metaphor of the men  and women in South Africa trying to balance knowledge and ignorance in the social and racial hierarchies of contemporary South  Africa. The scales could also symbolise the balance between good  and bad.
    • The tight rope: The Justice system in South Africa is sometimes  seen as unfair and unjust. The blindfolded figure that walks on the  rope represents the people of South Africa who are trying to create  a balance in their lives.
    • Images in the background: There is a mosaic of graffiti images in  the background of the artwork. Bushman images, forgotten people,  a naval officer, a hand grenade representing violence, clenched fists  and a repetitive mask of a Star Wars character is visible in the  background. They could represent the diversity of society. There are  definite spray-painted words all over the artwork.
  • Different styles in the artwork: The female figure is portrayed in a naturalistic manner; however, it has stylistic characteristics like simplification and pop/cartoon like imagery. Stencilling has been used in  the background.  

TEACHING TOOL: Witbooi is renowned for his 'Afro-pop' collage style paintings. Witbooi lists Picasso and Asha Zero as his  influences. He coined the word 'pap-art' – being 'pap' the traditional  poor staple food in Southern Africa – to define his personal  approach to contemporary art as a self-taught artist. 

  • Comment on the message the artist wanted to convey: 

Lady Justice is an allegorical personification of the moral force in  judicial systems The message could represent women fighting for  equality in South Africa. The blindfolded female figure represents  women in today's society who are handcuffed by the law/man. She  is portrayed breaking free from discrimination be it the law or  prejudice/bias/stereotyping. She is blindfolded while trying to find her voice  in society and is expected to abide by the law. She is balancing all the  roles that are expected from women in today's society. It can also represent the balance between good and evil. (10) 
6.2 Candidates must analyse the work of any TWO artists they have studied  whose works comment on the post 1994 identity of South Africa. 
They may use the following ideas in their answer: 

  • Content of artworks and images
  • Medium, style and techniques
  • How the artists reflect their own questioning of the world and the spaces they occupy in South Africa, both physically and emotionally. (10) [20]

QUESTION 7: GENDER ISSUES: MASCULINITY AND FEMININITY 

Rather than following traditional gender roles, people interpret it in a personal way.  As a result, gender roles and stereotyping are fading and pushing the boundaries of  what it means to be feminine or masculine.

7.1 Candidates must discuss the above statement and write an essay in which  you comment on the manner in which these gender boundaries are being questioned/pushed. You must refer to FIGURE 7a and b as well as any TWO  artists they have studied, who comment on gender. Answers must be  Substantiated. 
They may use the following as a guideline in their essay: 

  • Significance of colour :

FIGURE 7a: Contrasting colours have been used in the clothing of the  female figure e.g. oranges and turquoise. The burnt orange/brown  panels of interior and her dress are very similar in terms of colour. The  colour of turquoise ribbons is repeated in the vase on the left hand  side of the painting. The white blouse becomes the focal point of the  painting. The figure is sitting on a pink coloured cushion which  represents and symbolises femininity 
FIGURE 7b: The intense dark background (chiaroscuro) contrasts with  the light skin of the figure. The figure is portrayed in ladies garment  however the colour blue traditionally refers to masculinity. A red rose is  attached to the garment, usually representative or symbolic of love  and virginity.  

  • Imagery and the possible interpretations thereof:

FIGURE 7a: It is a portrait of a seated lady dressed in a white top and  wide red patterned skirt. Her reflection indicates that she has a cell phone in her left hand; however, the seated figure is not painted with a  cell-phone but rather a broom in the opposite hand. There is a contrast  between the past and present technology. The use of mirrors creates  an illusion of space and perspective. She is also adorned with  jewellery that is a combination of both modern and traditional. Her hair  is neatly tied back with fabric/ ribbon. In her left hand she holds a  small handmade grass broom symbolic of domestication. A woven  traditional basket is placed next to the vase which is usually used as a  storage item. A slaughtered chicken is seen hanging in the  background of painting which still needs to be cooked and served. She  is represented in an ornate interior with gilded frames and a decorated  mantelpiece which suggests wealth. The porcelain vase on the left has  turquoise bands and images of cattle. Cattle, which represent wealth, are often used as lobola payment in African wedding ceremonies. The  portrait can be compared to those portraits painted by the Neo Classical artists. 
FIGURE 7b: It is a self-portrait by the artist who is dressed in ladies' slip/undergarment. He has a tattoo on his left arm, which looks like a  bird symbolic of freedom. Tattooed men are often regarded as being  masculine, brave and daring. The red rose which is attached to the blue garment symbolising virginity or femininity. The gesture of the  figure is very similar to that of Leonardo Da Vinci's ' St. John the  Baptist'.  

  • How the artists portray the attributes of masculinity and/or femininity
    • Comment on the play of word 'chic(k)' in the title of  FIGURE 7a: 

In the title the 'k' in Chick is inverted and can refer to the  chicken in the background that still has to be cooked and  served. 'Chick' is a word commonly used by males to address  women. She looks 'chic' meaning that she is smartly dressed  with an elegant flair. Although women can be chic, they are still  expected to complete their daily domestic tasks.  

    • Significance of the clothing:  

FIGURE 7a: The female figure is dressed in a white blouse and  red/burnt orange skirt. She has turquoise ribbons draped  around her which contributes to her femininity. She wears a  bangle on each wrist and a ring on her left hand. The jewellery contributes to making her feminine.  
FIGURE 7b: Although this man wears ladies' underwear he is  still portrayed as masculine. It is as if the artist wants to  emphasise the fact that clothing does not determine gender.  The shoulder strap on the left shoulder is falling off symbolising  sensuality. The rose is also a middle aged symbol of virginity. It  seems as if he is posing for a photo or performing on stage. 

    • Mood created through facial expressions: 

FIGURE 7a: The female figure is looking at the viewer seeming  to pose for a photograph. She is comfortable and looks as if she  is used to being the lady of the house. A soft, feminine mood is  created by her eye contact with the viewer. 
FIGURE 7b: The male figure has a slight drooping mouth  which makes him look self- conscious. A sad and melancholy  mood is created. The subject matter is very similar to Picasso's  paintings of circus people.  

  • Relevance of the posture/gesture:

 FIGURE 7a: The figure has a very relaxed, yet sensual pose.  Her right hand frames her face as if she is posing for a  photograph.  
 FIGURE 7b: The figure is in a standing position and his hands  show/portray feminine gestures. [20]

QUESTION 8: ARCHITECTURE IN SOUTH AFRICA 

Each new situation requires a new architecture. – Jean Nouvel 
Housing has become the biggest social problem in South Africa, with many architects who focus on designing alternative, affordable structures. 

8.1 By referring to the above statement and the images in FIGURE 8a and 8b,  candidates must write a short essay in which they comment on how 'new  architecture' is being used for shelter and accommodation in South Africa. 
They must respond to the following in their answer: 

  • The positive and negative aspects of using shipping containers as  the answer to the South African housing crisis. 

Positive aspects: In South Africa, the housing crisis can be solved by  using strong, safe, shipping containers in townships/rural areas. Squatter  camps can be upgraded by replacing the unsustainable cardboard and  plastic with a stronger structure like a steel container. On site  construction is eliminated as these containers can be modified and the  interior be completed beforehand. The containers are stable and solid and can be piled on top of one another. Due to their strength containers  provide safe housing solutions.  
Negative aspects: The steel containers are very heavy and therefore  difficult to transport. The modifications of the units are also expensive.  Once the container has been delivered it cannot be dismantled. 

  • Compare FIGURE 8a and 8b by discussing the aesthetic appeal of  both buildings due to their modification. 

FIGURE 8a: The building in FIGURE 8a was created by modifying shipping  containers and stacking them on an old unused mill. The containers are  equipped with windows and extended balconies. The roof is accessible and  a circular structure can be seen which could be used as extra living space. 
Painting them in various colours create a Neo- Modernistic feel. Suspended  balconies form a contrast to the flat façade and create extra space. The  round cement mills contrast sharply with the angular, brightly coloured  shipping containers.  
FIGURE 8b: It is a minimalistic house propped up on grey concrete beams.  The building has a free façade, ribbon windows, an extended  balcony/veranda. The panels of glass allow light to enter the building as well  as the integration of the interior and exterior. The building has a flat roof. 

  • If you had the opportunity to live in a shipping container what  modifications would you suggest in making your home as functional  as possible? 

Shipping containers are versatile and can be modified to suit all individual  preferences. The containers can be painted in numerous colours or left as  is. A roof garden can be added to the top levels for growing greeneries as  well as solar panels to generate electricity. Units can be added on when  needed. For safety, smaller windows can be used. Alternatively, large  glass walls can replace a steel wall to integrate the interior and exterior.  
The candidate's own response will be considered. (8) 
8.2 Candidates must discuss the work of any architect they have studied whose  work reflects a new approach to architecture that could satisfy the needs of an  ever growing South African society. 
They may use the following guidelines to support their answer: 

  • Site and positioning  
  • Use of building materials 
  • Design and functionality  
  • Inspiration and influences  
  • How the architect has specifically addressed/considered the needs of  South African society. (12) [20] 

TOTAL: 100

MECHANICAL TECHNOLOGY
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

MEMORANDUM 

QUESTION 1: MULTIPLE-CHOICE  
1.1 A ✔ (1)
1.2 D ✔ (1)
1.3 B ✔ (1)
1.4 A ✔ (1)
1.5 A ✔ (1)
1.6 B ✔ (1)
1.7 D ✔ (1)
1.8 A ✔ (1)
1.9 B ✔ (1)
1.10 D ✔ (1)
1.11 D ✔ (1)
1.12 B ✔ (1)
1.13 C ✔ (1)
1.14 A ✔ (1)
1.15 A ✔ (1)
1.16 C ✔ (1)
1.17 D ✔ (1)
1.18 D ✔ (1)
1.19 C ✔ (1) 
1.20 A ✔ (1) [20]

QUESTION 2: SAFETY 
2.1 Angle grinder safety attire: 

  • Wear eye protection ✔ 
  • Wear ear plugs or muffs ✔ 
  • Wear safety boots ✔ 
  • Wear overalls/leather apron ✔ 
  • Wear safety gloves ✔
    (Any 2 x 1) (2) 

2.2 Hydraulic press safety: 

  • The prescribed pressure must not be exceeded ✔ 
  • Ensure the pressure gauge is in a working order ✔ 
  • The platform on which the work piece rests must be rigid and square  with the cylinder of the press ✔ 
  • Only prescribed equipment must be used ✔ 
  • Check that the securing pins for the platform are properly in place ✔ 
  • Check on hydraulic pipes for leaks and/or oil on the floor ✔ 
  • Bearing need to be placed in a suitable jig ✔ 
  • The apparatus should be checked regularly if all bolts and nuts  are tightened ✔ 
  • The level of the hydraulic fluid in the reservoir should be  checked regularly. If fluid has to be added frequently, it is an  indication that there may be an internal leak. ✔ 
  • Regularly inspect the apparatus for rigidity and tighten all  nuts and bolts. ✔ 
  • Pins and/or other equipment that keep the platform at a  desired height on the frame must be inspected regularly for  damage. ✔ 
  • When the apparatus is equipped with cables to alter the  working height of the platform, the cable and pulleys must be  inspected for damage and lubricated with grease.
    ✔ (Any 3 x 1) (3) 

2.3 Arc welding helmet/-shield:  

  • To protect your skin and eyes against the dangerous ultra-violet  Rays and sparks ✔ 
  • To protect your face when chipping the slag ✔ (1) 

2.4 Milling Machine: 

  • Always clamp work pieces and clamping devices properly. ✔ 
  • Know where the ON/OFF switch is located. ✔ 
  • Make sure that all guards are in place. ✔ 
  • Wear all necessary safety equipment. ✔ 
  • Do not use machine without permission. ✔ 
  • Make sure that the machine is in working order. ✔ 
  • Make sure the area around the machine is free of oil or scrap metal. ✔ 
  • Do not wear loose clothing ✔
  • Keep any cleaning material such as waste and rags away from  rotating parts ✔ 
  • Make sure that all guards are in place. ✔
  • Spanners or keys must never be left on rotary parts. ✔
  • Select the correct tool for the job. ✔
  • Do not lean on a machine at any time. ✔
  • Give attention to cutting-fluid control before switching the  machine on. ✔
     (Any 2 x 1) (2) 

2.5 Safety aspect: 

  • Switch the machine off. ✔ (1) 

2.6 Spring compressor safety : 

  • Make sure that the jaws/clamp of the spring compressor will not slip.✔
  • Make sure that the compressor bolts are strong enough. ✔ 
  • Do not over load the compressor. ✔ 
  • Be careful when compressing or releasing the coil spring. ✔ 
  • Do not use a hammer to remove the coil spring from the compressor. ✔
  • Do not use wire to tie spring✔
    (Any 1 x 1) (1) [10]

QUESTION 3: TOOLS AND EQUIPMENT 
3.1 Testers 
3.1.1

  • The purpose of the fuel pressure tester is to test the fuel  operating pressure in the system ✔ and fuel pressure in the fuel  line that runs to the direct injection system. ✔ (2) 

3.1.2 The purpose of the torsion tester is to investigate the relationship  between torque ✔ applied to material and the influence of material  length on torsional deflection. ✔ (2) 
3.1.3 A cylinder leakage tester is used to check whether  gases/compressed air leak ✔ from the cylinder in the engine  during compression stroke. ✔ (2) 
3.2 Reasons to perform a cylinder leakage test: 

  • To determine the percentage of leaking ✔ 
  • To identify the location of the leak ✔ (2)

3.3 MIGS/MAGS – Welding  
3.3.1 Advantages of MIGS/MAGS welding : 

  • Less cleaning of weld required ✔ 
  • Thinner material can be welded ✔ 
  • Less skill needed ✔ 
  • Continuous welding is possible ✔ 
  • Less defects occur ✔ 
  • Can weld in any position ✔ 
  • Causes less deformation ✔ 
  • Gives a better finish ✔ 
  • Faster than arc welding ✔
    (Any 2 x 1) (2) 

3.3.2 MIGS/MAGS gases: 

  • Argon ✔ 
  • Helium ✔ 
  • Teral ✔ 
  • CO2 (Carbon di-oxide) ✔
    (Any 2 x 1) (2) [12]

QUESTION 4: MATERIALS  
4.1 Higher critical temperature: 

  • This is the highest temperature to which steel can be heated to obtain  maximum hardness. ✔✔ (2) 

4.2 Iron-carbon Structures 
4.2.1 

  • Soft ✔  
  • Coarse grain structure ✔  
  • Non-magnetic ✔
    (Any 2 x 1)(2) 

4.2.2

  • A- Ferrite + Pearlite ✔
  • B. Ferrite ✔
  • C. Ferrite + Austenite ✔
  • D. Austenite ✔
  • E. Austenite + Cementite ✔
  • F. Pearlite + Cementite ✔
  • G. 100% Pearlite ✔ (7)

4.2.3 900 °C ✔✔ OR 900-920 °C ✔✔ (2) [13]

QUESTION 5: TERMONOLOGY
5.1 Parallel key 
5.1.1 

  • Width  =
                   4
    = 84
        4
    = 21 mm  ✔ ✔  (2) 

5.1.2 

  • Thickness   =
                           6
    = 84
        6
    = 14 mm  ✔ ✔ (2) 

5.1.3 

  • Length = D × 1.5
    = 84 × 1.5 
    = 126 mm ✔ (2) 

5.2 Indexing: 

  • Indexing  = 40 
                       n
     40   ÷ 2 
       106     2
    = 20 ✔ 
       53
    No full turns and 20 holes onthe 53 -hole circle  (3) 

5.3 Depth of the screw thread: 

  • Height = 0.866P
    =  0.866 × 2  ✔
    =  1.73 mm  ✔   (2) 

5.4 Spur gear 
5.4.1 Addendum

  • = m
    = 3 mm ✔  (1) 

5.4.2 Dedendum 

  • = 1,157 m             or             1,25 m
    = 1,157 x 3 ✔                       1,25 x 3 ✔
    = 3,47 mm ✔                        3,75 mm ✔ (2) 

5.4.3 Clearance

  • = 0,157 m           or             0,25m
    = 0,157 x 3 ✔                     0,25 x 3 ✔
    = 0,47 mm ✔                      0,75 mm ✔ (2) 

5.4.4 

  • Module  = PCD
                       T
    PCD = m × T
    = 3 × 48
    = 144 mm ✔ (2) 

5.4.5

  • OD = PCD + 2m 
    = 144 + 2(3) 
     = 144 + 6 ✔ 
    = 150 mm ✔ (2) 

5.4.6 Cutting depth

  • = 2,157 m             or           2,25 m 
    = 2,157 x 3 ✔                     2,25 x 3 ✔ 
    = 6,47 mm ✔                      6,75 mm ✔ (2) 

5.4.7 Circular pitch 

  • = m x π
    = 3 x π  ✔ 
    = 9,43 mm ✔           or           9,42 mm ✔ (2) 

5.5 Type of key shown in FIGURE 5.5 

  • Parallel key ✔✔ OR Pratt and Whitney key✔✔ OR Feather  key✔✔ 
    (Any 1 x 2) (2) 

5.6 Type of milling process shown in FIGURE 5.6 

  • Straddle milling ✔✔ (2) 

5.7 Type of engineering equipment shown in FIGURE 5.7 

  • Milling machine ✔✔ (universal or vertical or horizontal milling  machine) (2) [30] 

QUESTION 6: JOINING METHODS 
6.1 Causes of welding defects 
6.1.1 Porosity: 

  • Atmospheric contamination ✔ 
  • Surface contamination ✔ 
  • Dirty or wet electrodes with arc welding ✔ 
  • Rusted wire with MIGS/MAGS ✔ 
  • Lack of shielding gas ✔ 
    (Any 1 x 1) (1) 

6.1.2 Undercutting: 

  • Improper settings of equipment ✔ 
  • Welding speed to fast ✔ 
  • Current too high ✔
    (Any 1 x 1) (1) 

6.1.3 Slag inclusion: 

  • Current to low ✔ 
  • Included angle too narrow ✔ 
  • Rapid chilling ✔ 
  • High viscosity of molten metal ✔ 
  • The previous weld slag has not been removed ✔ 
  • Defective consumables/wet welding rods ✔ 
  • Inadequate shielding gas flow ✔ 
  • Welder’s negligence ✔ 
  • Joint contamination ✔
    (Any 1 x 1) (1) 

6.2 Destructive tests: 

  • Nick break test ✔ 
  • Bend test ✔ 
  • Machinability test ✔ 
  • Tensile test ✔
    (Any 3 x 1) (3) 

6.3 Dye penetration test: 

  • Clean the weld that needs to be tested. ✔ 
  • Spray dye onto the surface and leave to penetrate. ✔ 
  • Excess dye is cleaned away with a cleaning agent.✔ 
  • Allow surface to dry. ✔ 
  • Spray a developer onto the surface to bring out the dye trapped in the  crack. ✔ 
  • The dye will show all the surface defects. ✔ (6)

6.4 Inert gas: 

  • Stabilizes the arc. ✔ 
  • Prevent atmospheric contamination. ✔ 
  • Minimises weld spatter. ✔ 
  • Prevent porosity. ✔ 
  • Ensure proper fusion. ✔ 
  • Shield weld pool from atmosphere ✔
    (Any 3 x 1) (3) 

6.5 MIGS/MAGS welding:  

  • Amount of penetration and fusion ✔ 
  • Rate of weld wire feed ✔ 
  • Rate of weld wire burning ✔ 
  • The way the weld metal flows ✔ 
  • The sound of the welding process ✔
    (Any 3 x 1) (3) 

6.6 MIGS/MAGS welding process: 

  1. Parent metal ✔/Work piece ✔ 
  2. Weld pool ✔ 
  3. Electrode wire ✔ 
  4. Gas shroud ✔ 
  5. Contact tube ✔ 
  6. Shielding gas ✔ 
  7. Earth cable ✔/terminal/ground wire/skelm ✔ (7) [25]

QUESTION 7: FORCES
7.1 Resultant: 
7.1 kjhbkgf
OR 

Horizontal  

components

Magnitudes 

Vertical  

components

Magnitudes

300NCos40° 

229,81 N ✔ 

300NSin40° 

192,84 N ✔

-200NCos40° 

-153,21 N✔ 

200NSin40° 

128,56 N✔

400 N 

400 N ✔ 

0 N 

0 N

-100NCos60° 

-50 N ✔ 

-100Sin60° 

-86,60 N ✔

TOTAL 

426,6 N ✔ 

TOTAL 

234,80 N ✔

NB:  
7.1b kjhjgajdgag
Resultant = 486,95 N 28,83° North from East ✔ (13) 
7.2 Stress and Strain 
7.2.1 Stress: 

7.2.1 hgigidah(5) 
7.2.2 Strain:  

7.2.2 kjhahgd(3) 
7.2.3 Change in length: 

7.2.3 kuhkuahf(3) 
7.3 Moments  
7.3a kjbhkhgad
Calculate A. Moments about B: 

  • ∑RHM  =∑ LHM
    (A × 16) = (550 × 8) + (640 × 4) + (300 × 0)
    16A = 6960
    16       16
    A = 435 N 

Calculate B. Moments about A:

  • ∑LHM  =∑ RHM
    (B × 16) = (300 × 16) + (640 × 12) + (550 × 8)
    16B = 16880
    16        16
    B = 1055 N  ✔ (6)  [30] 

QUESTION 8: MAINTENANCE  
8.1 Viscosity: 

  • Due to higher pressure ✔between surfaces, it must ensure that the gears  are well coated with oil and do not lose the lubrication barrier between  them. ✔ (2) 

8.2 Reason using SAE 20W50: 

  • This is to ensure that the oil is able to satisfy the operational requirements  over a range of temperatures from start-up to running temperature. ✔✔ (2) 

8.3 Pour point: 

  • Pour point is the lowest temperature at which a liquid remains pourable. ✔ (1) 

8.4 Properties of grease: 

  • It must be water resistant/it must not mix with water. ✔ 
  • Low freezing point. ✔ 
  • Prevents rust/corrosion. ✔ 
  • Good for load pressures. ✔ 
  • High melting point. ✔
    (Any 2 x 1) (2) 

8.5 Maintain cutting fluid: 

  • Avoid contamination of the cutting fluid by draining and regularly  replacing it. ✔ 
  • Remove metal cutting from the machine's splash tray. ✔ 
  • Ensure that the sump is topped up from time to time. ✔ 
  • Check that there is sufficient flow of cutting fluid to the cutting tool. ✔
    (Any 3 x 1) (3) 

8.6 Viscosity of engine oil: 

  • The oil will not stay between the surfaces in contact, it will just flow  through. ✔ 
  • The oil will not have enough time to carry away the heat generated  by the friction of the moving parts. ✔ 
  • Increase of wear and tear will occur ✔ (2) 

8.7 Reason for skimming flywheel: 

  • To obtain efficient contact between the flywheel and clutch✔ 
  • To remove grooves caused by wear✔ 
  • To remove hot spots on flywheel. ✔ (3) [15]

QUESTION 9: SYSTEM AND CONTROLS 
9.1 Gear drives 
9.1.1 Rotation frequency of the output shaft:  

  • ND = TA × TC 
    NA    TB × TD
    ND = TA ×TC × NA
            TB × TD
    NA = 40 × 30 × 1440
             60 × 80
    =360 r/min   (3) 

9.1.2 Velocity Ratio: N VR 

  • VR = NINPUT
             NOUTPUT
    = 1440 
        360
    = 4:1   (2) 

9.2 Belt Drives 
9.2.1 Rotation frequency of the driver pulley: 
9.2.1 khguygad  (3) 
9.2.2 Power transmitted:

  • T1 = 2,5
    T2
    T1 = 2,5 × T2
    = 2,5 × 140
    = 350 N 
    P = (T1 - T2)V
    P = (350 - 140)40
    = 8400 Watt
    = 8, 4 kW    (5) 

9.3 Hydraulics 
9.3.1 Fluid pressure: 
9.3.1 ikuhuihad
PA × 
        AA
       250       PA
    1,13  ×  10-3
= 221,24 ×  10-3 Pa
= 221,24 kPa (4) 
9.3.2 Distance moved by piston B in 10 strokes: 
9.3.2 kuhukghad
Movement = 14,27mm × 10 strokes
= 142,7 mm   (4) 
9.4 Advantage of ABS: 

  • ABS system prevents wheels from locking and skidding ✔ when braking  during extreme conditions. ✔ (2) 

9.5 Air Bags: 

  • It is seen as a passive safety feature because the driver and passengers in  the vehicle do not need to activate the air bags ✔ or do anything to be  protected by air bags. ✔ (2) [25] 

QUESTION 10: TURBINES 
10.1 Reaction Turbine: 

  • Francis ✔ 
  • Kaplan ✔ 
  • Tyson ✔ 
  • Gorlov ✔
    (Any 2 x 1) (2) 

10.2 Impulse Turbine: 

  • Impulse turbine changes the velocity of a water jet. ✔ 
  • The jet pushes on the turbine's curved blades which changes the  direction of the flow. ✔ 
  • The resulting change in momentum (impulse) causes a force on the  turbine blades. ✔ 
  • Since the turbine is spinning the force acts through a distance and the  diverted water flow is left with diminished energy. ✔ 
  • Prior to hitting the turbine blades the water's pressure is converted to  kinetic energy by a nozzle and focused on the turbine. ✔ 
  • No pressure change occurs at the turbine blades. ✔ (6) 

10.3 Control of speed of steam turbine: 

  • To prevent ✔ the turbine rotor to reach an uncontrollable speed. ✔ (2) 

10.4 Advantages of gas turbine: 

  • Smooth running due to absence of reciprocating parts. ✔ 
  • Few moving parts causes less friction and wear. ✔ 
  • Easy starting. ✔ 
  • Can use wide range of fuels. ✔ 
  • No water cooling system required. ✔ 
  • Non-poisonous gasses emitted. ✔ 
  • Require little routine maintenance. ✔ 
  • Higher power-to-weight ratio, compared to reciprocating engines. ✔ 
  • Moves in one direction only, with far less vibration than a reciprocating engine. ✔ 
  • Low operating pressures. ✔ 
  • High operation speeds. ✔ 
  • Low lubricating oil cost and consumption. ✔
    (Any 3 x 1) (3) 

10.5 Waste gate: 

  • A waste gate diverts exhaust gases away from the turbine wheel. ✔
  • It  regulates the turbine speed to obtain maximum boost pressure. ✔ (2) 

10.6 High altitude: 

  • Performance will decrease ✔ because of less oxygen at higher altitude  levels. ✔
  • Decreases volumetric efficiency ✔✔ (2) 

10.7 Advantage turbocharger: 

  • Uses the exhaust gases and not power from the engine, to operate. ✔ (1) 

10.8 Blower: 

  • Roots blower ✔✔ (2) [20] 

TOTAL [200]