PHYSICAL SCIENCES
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
INSTRUCTIONS AND INFORMATION
QUESTIONS
QUESTION 1: MULTIPLE-CHOICE QUESTIONS
Various options are provided as possible answers to the following questions. Choose the answer and write only the letter (A-D) next to the question numbers (1.1 to 1.10) in the ANSWER BOOK, e.g. 1.11 D.
1.1Which ONE of the following is the structural formula of the functional group of the KETONES?(2)
1.2 Which ONE of the formulae below represents an ALKANE?
1.3 Consider the organic compound below.
The IUPAC name of this compound is …
1.4 Activation energy can best be described as the minimum energy required to …
1.5 Which statement is CORRECT for a system in DYNAMIC EQUILIBRIUM?
1.6 Initially, a certain amount of P(g) was placed in an empty container. The hypothetical reaction reaches equilibrium in a closed container according to the following balanced equation:
P(g) ⇌ 2Q(g) ΔH < 0
At time t, the temperature is increased. Which graph below best illustrates the resulting changes in the rates of the forward and reverse reactions after the temperature is increased?
1.7 Reactions I and II below have equilibrium constants (Kc) greater than 1.
Based on the reactions above, the ACIDS in order of INCREASING STRENGTH (weakest to strongest) are …
1.8 Consider the cell notation for a galvanic cell below.
Ni(s) | Ni2+(aq) || H+(aq) | H2(g) | Pt(s)
Which ONE of the following half-reactions takes place at the ANODE of this cell?
1.9 Which ONE of the following is applicable to an ELECTROLYTIC CELL?
1.10 The flow diagram below shows four stages (A, B, C and D) in the conversion of sulphur to sulphuric acid.
At which stage is a catalyst used?
QUESTION 2 (Start on a new page.)
A test tube containing a straight chain organic acid X, ethanol and a catalyst is heated in a water bath, as illustrated below.
Organic compound Y is produced according to the following equation:
X + C2H5OH ⟶ Y + H2O
2.1 Give a reason why the test tube is heated in a water bath instead of directly over the flame. (1)
2.2 Write down the:
2.2.1 Type of reaction that takes place here (1)
2.2.2 FORMULA of the catalyst needed (1)
2.2.3 Homologous series to which compound Y belongs (1)
The molecular mass of compound Y is 144 g∙mol-1 and its empirical formula is C4H8O.
2.3 Determine the molecular formula of compound Y. (2)
2.4 Write down the IUPAC name of compound Y. (2)
2.5 Write down the structural formula of the organic acid X. (2) [10]
QUESTION 3 (Start on a new page.)
The boiling points of different organic compounds are given below.
COMPOUND | BOILING POINT (°C) | |
A | HCOOH | 101 |
B | CH3COOH | 118 |
C | CH3CH2COOH | 141 |
D | CH3CH2CH2COOH | 164 |
3.1 Define boiling point. (2)
3.2 Write down the:
3.2.1 Name of the FUNCTIONAL GROUP of these compounds (1)
3.2.2 IUPAC name of compound C (1)
3.2.3 Structural formula of the FUNCTIONAL isomer of compound B (2)
3.3 Which ONE of the compounds, A or B or C, has the highest vapour pressure? Refer to the data in the table to give a reason for the answer. (2)
3.4 The boiling point of compound B is now compared with of compound X.
COMPOUND | BOILING POINT (°C) | |
B | CH3COOH | 118 |
X | CH3CH2CH2OH | 98 |
3.4.1 Besides the conditions used to determine boiling points, give a reason why this is a fair comparison. (1)
3.4.2 Is compound X a PRIMARY, SECONDARY or TERTIARY alcohol? Give a reason for the answer. (2)
3.4.3 Fully explain the difference between the boiling points by referring to the types of intermolecular forces present in each of these compounds. (4) [15]
QUESTION 4 (Start on a new page.)
4.1 Three reactions of organic compounds from the same homologous series are shown below.
4.1.1 Define a homologous series. (2)
4.1.2 Name the type of reaction represented by I. (1)
4.1.3 Write down the formula of the inorganic compound P. (1)
4.1.4 Give the structural formula of a POSITIONAL isomer of 2-bromobutane. (2)
4.1.5 Using molecular formulae, write down the balanced equation for reaction II. (3)
Reaction III is an example of a cracking reaction.
4.1.6 Define a cracking reaction. (2)
4.1.7 Give the structural formula of organic compound Q. (2)
4.2 Study the flow diagram below.
4.2.1 Write down the IUPAC name of compound R. (2)
4.2.2 Compound R reacts in the presence of concentrated phosphoric acid to form an alkene. Write down the structural formula of the MAJOR PRODUCT in this reaction. (2) [17]
QUESTION 5 (Start on a new page.)
The reaction of zinc and EXCESS dilute hydrochloric acid is used to investigate factors that affect reaction rate. The balanced equation for the reaction is:
Zn(s) + 2HCℓ(aq) ⟶ ZnCℓ2(aq) + H2(g)
The reaction conditions used and the results obtained for each experiment are summarised in the table below. The same mass of zinc is used in all the experiments. The zinc is completely covered in all reactions. The reaction time is the time it takes the reaction to be completed.
EXPERIMENT | CONCENTRATION OF HCℓ (mol∙dm-3) | VOLUME OF HCℓ (cm3) | STATE OF DIVISION OF Zn | TEMPERATURE OF HCℓ (°C) | REACTION TIME (min.) |
1 | 2,0 | 200 | powder | 25 | 7 |
2 | 1,5 | 200 | granules | 25 | 14 |
3 | 5,0 | 200 | powder | 25 | 5 |
4 | 1,5 | 400 | granules | 25 | x |
5 | 2,0 | 200 | powder | 35 | 4 |
5.1 Experiment 1 and experiment 5 are compared. Write down the independent variable. (1)
5.2 Define reaction rate. (2)
5.3 Write down the value of x in experiment 4. (2)
5.4 The Maxwell-Boltzmann energy distribution curves for particles in each of experiments 1, 3 and 5 are shown below.
Identify the graph (A or B or C) that represents the following:
5.4.1 Experiment 3 Give a reason for the answer. (2)
5.4.2 Experiment 5 Give a reason for the answer. (2)
5.5 Experiment 6 is now conducted using a catalyst and the SAME reaction conditions as for Experiment 1.
5.5.1 What is the function of the catalyst in this experiment? (1)
5.5.2 How will the heat of reaction in experiment 6 compare to that in experiment 1? Choose from: GREATER THAN, EQUAL TO or LESS THAN. (1)
5.6 Calculate the average rate of the reaction (in mol·min-1) with respect to zinc for experiment 2 if 1,5 g of zinc is used. (4) [15]
QUESTION 6 (Start on a new page.)
Dinitrogen tetraoxide, N2O4(g), decomposes to nitrogen dioxide, NO2(g), in a sealed syringe of volume 2 dm3.
The mixture reaches equilibrium at 325 °C according to the following balanced equation:
When equilibrium is reached, it is observed that the colour of the gas in the syringe is brown.
6.1 State Le Chatelier's principle. (2)
6.2 The syringe is now dipped into a beaker of ice water. After a while the brown colour disappears. Is the forward reaction EXOTHERMIC or ENDOTHERMIC? Explain the answer using Le Chatelier's principle. (3)
6.3 The volume of the syringe is now decreased while the temperature is kept constant. How will EACH of the following be affected? Choose from: INCREASES, DECREASES or REMAINS THE SAME.
6.3.1 The number of moles of N2O4(g) (1)
6.3.2 The value of the equilibrium constant (1)
6.3.3 The rate of the forward and reverse reactions (1)
6.4 Initially X moles of N2O4(g) were placed in the syringe of volume 2 dm3. When equilibrium was reached, it was found that 20% of the N2O4(g) had decomposed. If the equilibrium constant, Kc, for the reaction is 0,16 at 325 °C, calculate the value of X. (8) [16]
QUESTION 7 (Start on a new page.)
7.1 Sulphuric acid is a strong acid present in acid rain. It ionises in two steps as follows:
7.1.1Define an acid in terms of the Lowry-Brønsted theory. (2)
7.1.2 Write down the FORMULA of the conjugate base of H3O+(aq). (1)
7.1.3 Write down the FORMULA of the substance that acts as an ampholyte in the ionisation of sulphuric acid. (2)
7.2 Acid rain does not cause damage to lakes that have rocks containing limestone (CaCO3). Hydrolysis of CaCO3 results in the formation of ions, which neutralise the acid.
7.2.1 Define hydrolysis of a salt. (2)
7.2.2 Explain, with the aid of the relevant HYDROLYSIS reaction, how limestone can neutralise the acid. (3)
7.3 The water in a certain lake has a pH of 5.
7.3.1 Calculate the concentration of the hydronium ions in the water. (3)
The volume of water in the lake is 4 x 109 dm3. Lime, CaO, is added to the water to neutralise the acid according to the following reaction:
CaO + 2H3O+ ⇌ Ca2+ + 3H2O
7.3.2 If the final amount of hydronium ions is 1,26 x 103 moles, calculate the mass of lime that was added to the lake. (7) [20]
QUESTION 8 (Start on a new page.)
8.1Corrosion is a redox reaction that takes place in the presence of oxygen and water. Rusting is the corrosion of iron leading to the formation of iron(III) ions.
8.1.1 Define oxidation in terms of electron transfer. (2)
A cleaned copper rod and a cleaned iron nail are placed in a beaker containing water at 25°C, as shown below.
After a while it was observed that the iron nail was coated with rust. The copper rod showed no visible signs of corrosion.
8.1.2Write down the half-reaction for the iron nail. (2)
8.1.3 Does iron act as REDUCING AGENT or OXIDISING AGENT in the beaker? (1)
8.1.4 Explain the above observation by referring to the Table of Standard Reduction Potentials. (3)
To prevent rusting of an underground iron pipe, the pipe is connected to a metal (Q) that corrodes easily.
8.1.5 You are given two metals, Zn and Cu, to use as metal Q. Which metal would more suitable? Give a reason. (2)
8.2 A galvanic cell is constructed using a Fe | Fe3+ half-cell and a Cu | Cu2+ half-cell.
8.2.1 Write down the overall (net) cell reaction that takes place when the cell is functioning. (3)
8.2.2 Calculate the cell potential of this cell under standard conditions. (4) [17]
QUESTION 9 (Start on a new page.)
The electrolytic cell below is set up to obtain pure copper from a piece of impure copper.
The impure copper contains other metals, such as platinum, iron, cobalt, silver and nickel.
The cell potential of the power source is adjusted so that only copper is deposited on electrode B.
9.1 Define an electrolytic cell. (2)
9.2 Write down the FORMULA of a suitable electrolyte for this cell. (1)
9.3 Which electrode (A or B) is the cathode? Write down the relevant half-reaction taking place at this electrode. (3)
9.4 Sludge forms below one of the electrodes while the cell above is in operation. Which of the metals, PLATINUM, IRON, COBALT, SILVER or NICKEL, will be present in the sludge? (2) [8]
QUESTION 10 (Start on a new page.)
In the flow diagram below, I and II represent industrial processes used in the fertiliser industry. P and Q are chemical reactions that take place to produce ammonium sulphate and fertiliser Y respectively.
10.1 Write down the name of the industrial process:
10.1.1 I (1)
10.1.2 II (1)
10.2 Write down the NAME or FORMULA of:
10.2.1 Fertiliser Y (1)
10.2.2The catalyst used in process I (1)
10.3 In reaction P, NH3(g) reacts with another substance. Write down a balanced equation for this reaction. (3)
10.4 The following substances are present in a bag of fertiliser:
Calculate the NPK ratio of the fertiliser. (5) [12]
TOTAL: 150
DATA FOR PHYSICAL SCIENCES GRADE 12 PAPER 2 (CHEMISTRY)
TABLE 1: PHYSICAL CONSTANTS
NAME | SYMBOL | VALUE |
Standard pressure | pθ | 1,013 x 105 Pa |
Molar gas volume at STP | Vm | 22,4 dm3∙mol-1 |
Standard temperature | Tθ | 273 K |
Charge on electron | e | -1,6 x 10-19 C |
Avogadro's constant | NA | 6,02 x 1023 mol-1 |
PHYSICAL SCIENCES
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
QUESTION 1
1.1 C ✔✔ (2)
1.2 C ✔✔ (2)
1.3 C ✔✔ (2)
1.4 A ✔✔ (2)
1.5 D ✔✔ (2)
1.6 B ✔✔ (2)
1.7 B ✔✔ (2)
1.8 D ✔✔ (2)
1.9 D ✔✔ (2)
1.10 B ✔✔ (2) [20]
QUESTION 2
2.1 ANY ONE
2.2
2.2.1 Esterification/condensation (1)
2.2.2 H2SO4 (1)
2.2.3 Esters (1)
2.3
Marking guidelines:
2.4 Ethyl hexanoate (2)
Note
2.5 POSITIVE MARKING FROM QUESTION 2.4.
Marking criteria
QUESTION 3
3.1 Marking guidelines/
3.2
3.2.1Carboxyl (group)
Accept
3.2.2 Propanoic acid/propanoësuur (1)
3.2.3
Marking criteria
IF
3.3 A - Lowest boiling point./Shortest chain length.
3.4
3.4.1 The same molecular mass/molecular size.
3.4.2 Primary
3.4.3 Marking guidelines
QUESTION 4
4.1
4.1.
4.1.2 Substitution/halogenation/bromination (1)
4.1.3 HBr (1)
4.1.4
Marking criteria
IF
4.1.5 C5H12 + 8O2 → 5CO2 + 6H2O Bal
Marking guidelines
4.1.6 Marking guidelines/Nasienriglyne
The (chemical) process in which longer chain hydrocarbons/longer chain alkanes are broken down to shorter/more useful hydrocarbons/molecules/ chains/alkanes and alkenes. (2)
4.1.7
Marking guidelines
4.2
4.2.1 Butan-2-ol OR 2-butanol
IF:
4.2.2
Marking criteria
QUESTION 5
5.1Temperature (1)
5. 2 NOTE
Give the mark for per unit time only if in context of reaction rate.
ANY ONE
5.3 14 (min) (2)
5.4
5.4.1 Graph B
5.4.2 (Graph/grafiek) C
5.5
5.5.1 Speeds up the reaction./Increases the reaction rate./Provides alternate pathway./Lowers the (net) activation energy. (1)
5.5.2 Equal to (1)
5.6
Marking guidelines
Notes
QUESTION 6
6.1
6.2 Endothermic
6.3
6.3.1 Increases (1)
6.3.2 Remains the same (1)
6.3.3 Increases (1)
6.4 CALCULATIONS USING NUMBER OF MOLES
Marking guidelines/Nasienriglyne
CALCULATIONS USING CONCENTRATION
Marking guidelines
OPTION 3(8) [16]
QUESTION 7
7.1
7.1.1 An acid is a proton donor. (2)
7.1.2 H2O (1)
7.1.3 HSO-4 (2)
7.2
7.2.1 Reaction of a salt with water/H2O.
Accept
7.2.2
Marking guidelines
7.3
7.3.1
7.3.2 POSITIVE MARKING FROM QUESTION 7.3.1.
Marking guidelines
IF final answer is negative: Max: 6/7(7) [20]
QUESTION 8
8.1
8.1.1 Loss of electrons./Verlies aan elektrone. (2 or/of 0) (2)
8.1.2 Fe → Fe3+ + 3e-
Marking guidelines
8.1.3 Reducing agent (1)
8.1.4
8.1.5 Zinc/Zn
8.2
8.2.1 3Cu2+ + 2Fe → 3Cu + 2Fe3+ Bal.
Marking guidelines/Nasienriglyne
8.2.2
(4) [17]
QUESTION 9
9.1
9.2 Any soluble copper(II) salt e.g
9.3 Marking guidelines
9.4 Platinum/Pt AND silver/Ag/ (2) [8]
QUESTION 10
10.1
10.1.1 Haber (process)
10.1.2 Ostwald (process)
10.2
10.2.1Ammonium nitrate/Ammoniumnitraat/NH4NO3
10.2.2 Iron/iron oxide/Fe/FeO
10.3
Marking guidelines
(5)
[12]
TOTAL: 150
PHYSICAL SCIENCES
PAPER 1
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
QUESTION 1
1.1 C /D✔✔ (2)
1.2 C ✔✔ (2)
1.3 C ✔✔ (2)
1.4 B ✔✔ (2)
1.5 B ✔✔ (2)
1.6 A ✔✔ (2)
1.7 A ✔✔(2)
1.8 D ✔✔ (2)
1.9 D ✔✔ (2)
1.10 C ✔✔ (2) [20]
QUESTION 2
2.1 (2)
When a (non-zero) resultant/net force acts on an object, the object will accelerate in the direction of the force with an acceleration that is directly proportional to the force and inversely proportional to the mass of the object. ✔✔ |
NOTE
|
2.2 (4)
Notes
|
Accept the following symbols | |
N | FN; Normal;Normal force ✔ |
f | Ff / fk / frictional force ✔ |
w | Fg; mg; Weight;FEarth on block;Fw ;Gravitational force ✔ |
T | Tension ; FT /FA, F /16,96 N ✔ |
2.3.1 (1)
The 2/8 kg block /system is accelerating ✔
|
2.3.2 (3)
For 2 kg |
2.3.3 (4)
POSITIVE MARKING FROM 2.3.2 |
2.4 (1)
|
2.5 (2) [17]
Yes✔ |
QUESTION 3
3.1 (2)
Downwards ✔
|
OPTION 1 Downward positive |
3.2 (3)
OPTION 2 | OPTION 2 |
OPTION 3 | OPTION 3 |
OPTION 4 | OPTION 4 |
OPTION 5 | OPTION 5 |
NOTES for marking QUESTION 3.3 | |
Formula mark | ✔ |
Substitution mark | ✔✔ |
Mark for height/distance | ✔ |
Mark for comparison | ✔ |
Mark for conclusion | ✔ |
3.3 (6)
OPTION 1 Downward positive |
OPTION 2 |
OPTION 3 |
OPTION 4 |
OPTION 5 Yes ✔ ✔ Downward positive |
OPTION 6 (POSITIVE MARKING FROM 3.2) Downward positive |
OPTION 7 (POSITIVE MARKING FROM 3.2) | OPTION 7(POSITIVE MARKING FROM 3.2 |
OPTION 8
Downward positive
|
OPTION 9 |
OPTION 10 Downward positive 2,1✔ = (7,5)Δt + ½ (-9,8)Δt2 ✔ |
OPTION 11 Downward positive |
OPTION 12 Downward positive Velocity at T is -3,88 m·s-1therefore the ball is still moving towards its maximum height ✔✔ |
3.4 POSITIVE MARKING FROM 3.2 (2) [13]
Notes | |
Initial velocity and time for final velocity shown | ✔ |
Correct straight line (including orientation) drawn | ✔ |
QUESTION 4
4.1 Momentum is the product of the mass of an object and its velocity ✔✔
[NOTE: 2 or/of 0] (2)
4.2 To the left ✔
Newton's third law✔
ACCEPT:
NOTE: For QUESTION 4.3 and 4.4 motion to the right has been taken as positive. Candidates may use the opposite direction.
4.5 (2) [14]
POSITIVE MARKING FROM 4.4 /POSITIEWE NASIEN VANAF 4.4 32 kg⋅m⋅s-1/ N·s to the right/opposite direction /na regs /teenoorgestelde rigting |
QUESTION 5
5.1
NOTE
|
5.2 No ✔ (1)
5.3 (3)
OPTION 1 OPTION 2 |
5.4
NOTE If any of the underlined key words/phrases in the correct context is omitted deduct 1 mark. . |
5.5 (5) (5)
OPTION 1 OR Wnet = ΔK✔ -ΔEp + Wf + WF = ½ mvf2- ½ mvi2 |
NOTE
|
OPTION 2 OR 1 mark for any of these |
ACCEPT THE FOLLOWING FOR: 3 /5 |
(5) [13]
QUESTION 6
6.1
NOTE If any of the underlined key words/phrases in the correct context is omitted deduct 1 mark. |
6.2 Away from✔
Observed frequency lower (2)
6.3 (3)
v = fλ ✔ |
6.4
POSITIVE MARKING FROM 6.3 |
(6) [13]
QUESTION 7
7.1 (2)
Qnet = Q1 + Q2 + Q3
|
NOTES
7.3 The magnitude of the electrostatic force exerted by one point charge (Q1) on another point charge (Q2) is directly proportional to the product of the (magnitudes) of the charges and inversely proportional to the square of the distance (r) between them ✔✔ (2)
NOTE
|
7.4 (5)
OPTION 1
OPTION 2
7.5 (3)
POSITIVE MARKING FROM 7.4 |
OPTION 2 ET = KQ Enet = √ (ES2 + ET2) NOTE
If calculation done in 7.4 award full marks for answer written here. |
7.6.1 Sphere P or/of T✔ (1)
7.6.2 (3)[19]
QUESTION 8
8.1
NOTE |
8.2.1 (3)
OPTION 1 |
OPTION 2 |
OPTION 3 |
8.2.2 (2)
POSITIVE MARKING FROM 8.2.1 |
OPTION 2 |
OPTION 3 |
OPTION 4 |
OPTION 5 |
8.3 Decreases
QUESTION 9
9.1 Temperature/Temperatuur ✔ (1)
9.2.1 r = 3 Ω or/of 1,5 Ω ✔✔
9.2.2 (3) [6]
ε = slope (gradient) of the graph✔
ε = 7,5 -(-3) OR POSITIVE MARKING FROM 9.2.1
7,5 = 1,5ε -3 OR ε = I(R + r) |
QUESTION 10
10.1.1 Y to/na X ✔ (1)
10.1.2
10.1.3 Mechanical (kinetic) energy ✔to electrical energy ✔(2)
10.2.1 340 V ✔(1)
Accept -340 V
10.2.2 POSITIVE MARKING FROM 10.2.1(3)
10.2.3 POSITIVE MARKING FROM 10.2.2 (3) [11]
OPTION 1 OPTION 2
OPTION 3 (Do not penalise if rms is omitted V) in R = Vrms | OPTION 4 = 340 (Do not penalise if rms is omitted V) in R = Vrms |
QUESTION 11
11.1 (2)
Work function of a metal is the minimum energy needed to eject an electron from the metal surface ✔✔ |
NOTE |
11.2 (2)
Potassium / Kalium / K ✔ Wo α fo |
11.3 (3)
OPTION 1 |
OPTION 2 = 3,6164 x 10-19 J
|
OPTION 3 |
11.4 (5)
OPTION 1 NOTE: If EK of the incorrect photocell is calculated, candidate forfeit the mark for the final answer. |
OPTION 2 NOTE: If EK of the incorrect photocell is calculated, candidate forfeit the mark for the final answer. |
11.5 Remains the same (1) [13]
TOTAL: 150
ADDENDUM
QUESTION 7.2
Accept the following electric field diagram which would be formed if the effect of the third charge is considered.
MATHEMATICAL LITERACY
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
INSTRUCTIONS AND INFORMATION
QUESTION 1
1.1 Mapotjo plans to purchase a bakkie (motor vehicle). She received the followingquotation from a car dealer on 28 February 2018:
Extract of a quotation for a bakkie from a dealer:
Rand (R) | |
Selling price (excluding VAT) without accessories (extras) | 160 087,72 |
Discount | 6 140,00 |
ACCESSORIES (EXTRAS) | |
Smash-and-grab film | 3 500,00 |
Door protector | 3 500,00 |
OTHER CHARGES | |
On-road charges | 4 298,25 |
Transaction fee | 1 315,79 |
SUBTOTAL | 166 561,76 |
VALUE-ADDED TAX | 14% |
TOTAL DUE | 189 880,41 |
[Source: Group 1 Nissan and The Glen]
Use the information above to answer the questions that follow.
1.1.1 Calculate (rounded off to ONE decimal place) the percentage discountgiven on the bakkie's selling price, excluding VAT. (3)
1.1.2 Show how the amount of R166 561,76 was calculated. (3)
1.1.3 Give ONE reason why customers would prefer to install the accessories(extras), as shown in the quotation. (2)
1.1.4 Mapotjo has an investment of R1,25 million. The money was invested as follows:
Show whether the interest earned on this investment is sufficient to cover the total purchase price of R189 880,41. (9)
1.1.5 VAT in South Africa increased to 15% with effect from 1 April 2018.
The following shows how the dealer calculated the new increased VAT incorrectly:
Identify the mistake the dealer has made in calculating the new selling price. Hence, calculate the new selling price, including 15% VAT (excluding accessories and other charges). (4)
1.2
After Mapotjo had purchased the bakkie, she decided to paint the cargo bin (loading box) of her bakkie with rubberising paint. The spread rate of the paint is 0,25 m2/f. The rubberising paint is sold in 5 f tins. A photograph of the cargo bin of a bakkie and a simplified model of the cargo bin with dimensions are given in ANNEXURE A. NOTE: Rubberising paint — a special paint used to coat the surface of a cargo bin |
Use the information above and ANNEXURE A to answer the questions that follow.
1.2.1 The cargo bin does not have a flat surface area and therefore the surface area must be increased by 2% to accommodate the uneven surface area.
1.2.2 Explain the significance of applying rubberising paint to the cargo bin of a bakkie.
1.3 It takes 20 minutes to apply a layer of rubberising paint. There is a 4-hour waiting period before the second coat of rubberising paint can be applied. In addition, a further drying time of 2 hours is required after the second coat has been applied.
Determine, with calculations, at what time the bakkie would be ready if the workshop started rubberising the cargo bin at 08:15. (4) [38]
QUESTION 2
2.1 TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015.
Use the information in ANNEXURE B to answer the questions that follow.
2.1.1 Determine:
2.1.2 Describe the trend in the imports of make-up and skincare products. (2)
2.1.3 The negative value of the percentage change does not necessarily imply that the import value of the products decreased continuously over the three-year period. Name TWO different products in TABLE 1 and explain how they support the statement above. (4)
2.1.4 State, with a reason, whether the data in TABLE 1 can be represented using a single pie chart. (2)
2.1.5 A line graph showing the % share of 2015 imports for the first eight products in TABLE 1 has been drawn on the ANSWER SHEET. On the same grid, draw another line graph representing the percentage change for the period 2013 to 2015 for the same eight products. (6)
2.2 Nomsa plans to visit Los Angeles for an educational conference. She will be travelling from her hotel to the conference venue with an Uber taxi.
An Uber taxi is operated using two options, as shown below.
TABLE 2 below shows the different Uber taxis and their respective rates in Los Angeles for both UPFRONT and POST-TRIP fare options, including an example of a 10-mile trip using the UPFRONT fare option.
COST | UberX | UberBLACK | UberLUX |
Base fare (call-out fee) | $0,00 | $ 8,00 | $20,00 |
Per minute fare | $0,15 | $ 0,45 | $ 0,60 |
Per mile fare | $0,90 | $ 3,55 | $ 5,00 |
*Minimum fare | $4,65 | $15,00 | $30,00 |
Cancellation fee | $5,00 | $10,00 | $10,00 |
Total fare (for a 10-mile trip using the UPFRONT option) | $9,00 | $43,50 | B |
[Adapted from www.uber.com, March 2016]
*Minimum fare: the lowest fare one would be charged per trip
Use the information above to answer the questions that follow.
2.2.1 Calculate the missing value B. (3)
2.2.2 Calculate (rounded off to the nearest mile) the maximum distance for which a person can use the UberX taxi if you pay the minimum upfront fare. (4)
2.2.3 Nomsa travelled a distance of 29,73 miles with UberBLACK. The post-trip fare option Was used and the trip took 1 hour and 9 minutes to complete. Nomsa stated that she would have saved more than $20,00 if she had used the upfront fare option. Show, with calculations, whether her statement is correct. (8)
2.2.4 Explain the importance of a cancellation fee for the Uber service provider. (2) [38]
QUESTION 3
3.1
The Big Five Marathon is an annual event in South Africa. It can be run as a full 42 km marathon or as a half-marathon of 21 km.
[Source: http://aublog.southafrica] ANNEXURE C contains the Big Five 42 km full marathon map. |
Use the information above and ANNEXURE C to answer the questions that follow.
3.1.1 Determine (as a decimal fraction) the probability of a runner of the Big Five marathon route accessing a refreshment station that offers ONLY Coke and water. (3)
3.1.2 Give the general direction in which a marathon runner is heading when passing the 20 km mark. (2)
3.1.3 Consider the heights above sea level for this race.
3.1.4 Explain why there are cut-off times for a marathon. (2)
3.1.5 For the half-marathon a runner must cover a distance of 16,5 km in a time of 5 hours from the start of the race to beat the cut-off 2 time for the half-marathon. A runner of the full marathon compared his speed with the speed of a half-marathon runner and stated that he had to run 2,7 km/h faster in order to beat the cut-off 2 time of the full marathon.
Verify, showing ALL calculations, whether he is CORRECT. You may use the formula:
3.2
More water must be taken to the refreshment stations. The water will be transported in cylindrical buckets (with lids) with a maximum capacity of 20 litres of water. [Source: www.meyaplast.co.uk] |
Use theinformation and picture above to answer the questions that follow.
3.2.1 Determine the maximum height (in cm) of the water in the bucket if the outside diameter of the bucket is 31,2 cm.
You may use the formula:
3.2.2 Buckets are placed on the pallet, as shown in the diagram above.
3.2.3 The organiser would have preferred each pallet to have 12 buckets arranged in three rows of four each, as shown in the diagram alongside.
Calculate the percentage by which the length of the pallet should be increased to accommodate this new arrangement. (5) [39]
QUESTION 4
4.1 ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel.
The following information represents features of the Ferris wheel:
The following are the ticket prices per person:
TICKET CATEGORY | PRICE |
Adults (16+) | £27,00 |
Children aged 3-15 | £22,00 |
Senior citizens | £25,50 |
10% discount for tickets bought online |
[Source: www.londoneye.com]
*Ferris wheel: a very large upright wheel with capsules on its circumference for people to ride in
Use the information above to answer the questions that follow.
4.1.1 Capsule 24 and capsule 30 have the following number of occupants.
ADULTS (16+) | CHILDREN AGED 3-15 | SENIOR CITIZENS | |
Capsule 24 | 18 | 7 | 2 |
Capsule 30 | 10 | 1 | 5 |
Only 5 adults of the total number of occupants in the table above bought tickets online. A South African tourist at the London Eye remarked that more than R18 400 was spent on these tickets. Verify, with calculations, whether this remark is CORRECT. (8)
4.1.2 The capsules are mounted on the circumference of the wheel.
4.2 Tourism creates many employment opportunities in the United Kingdom. Tourists are most likely business visitors, holiday visitors or visitors to friends and relatives (VFR).
TABLE 3 below shows information regarding the number of visitors (in thousands) and the reasons for their visits. It also shows the number of employment opportunities for the different tourist regions.
TABLE 3: NUMBER OF VISITORS (IN THOUSANDS) AND THE REASONS FOR VISITS TO DIFFERENT TOURISM REGIONS IN THE UNITED KINGDOM AND OPPORTUNITIES
REGIONS | NUMBER OF VISITORS (IN THOUSANDS) ACCORDING TO REASON FOR VISIT | DIRECT EMPLOYMENT | ||
HOLIDAY | VFR | BUSINESS | ||
London | 7 575,9 | 3 556,0 | 3 092,2 | 471 928 |
North East | 115,3 | 175,1 | 115,3 | ... |
North West | 624,0 | 762,6 | 531,5 | 170 113 |
Yorkshire | 273,0 | 480,5 | 273,0 | 119 639 |
West Midlands | 312,6 | 562,7 | 609,6 | 107 230 |
East Midlands | 166,0 | 405,7 | 295,0 | 76 496 |
East of England | 467,0 | 856,2 | 447,6 | 120 343 |
South West | 766,5 | 806,8 | 302,6 | 179 450 |
South East | 1 335,5 | 1 594,0 | 1 033,9 | 226 003 |
Scotland | 1 157,0 | 600,8 | 378,3 | 172 282 |
Wales | 324,5 | 324,5 | 87,6 | ... |
TOTAL | 13 117,3 | 10 124,8 | 7 146,6 | ... |
[Adapted from visitbritain.org/research]
Use the information above to answer the questions that follow.
4.2.1 Calculate the difference between the number of holiday visitors to the North West and the number to the West Midlands. (3)
4.2.2 Determine (as a percentage) the probability of randomly selecting a business visitor to the Midlands from the total business visitors. (4)
4.2.3 A visitor stated that there are more than 3 times more holiday visitors than business visitors to Scotland. Verify, with a calculation, whether this statement is valid. (3)
4.2.4 Calculate the interquartile range for VFR visitors. (5)
4.2.5 Give ONE other reason, besides employment opportunities, why tourism is important to a country. (2)
4.2.6 The mean direct employment in the United Kingdom is 162 666,5455. The North East employs 30 440 fewer people than Wales. Calculate the direct employment for the North East. (5) [35]
TOTAL: 150
ANSWER SHEET QUESTION 2.1.5
CENTRE NUMBER
EXAMINATION NUMBER
Percentage imports and average growth of personal care and cosmetic products in Australia
MATHEMATICAL LITERACY
PAPER 1
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
INSTRUCTIONS AND INFORMATION
QUESTION 1
1.1 Happy Life Superstore advertised the specials below for the annual Black Friday in 2017.
NOTE:
Study the advertisement above to answer the questions that follow.
1.1.1 Write down the number of day(s) on which these prices are valid. (2)
1.1.2 Calculate the original price of hth before the saving. (2)
1.1.3 Write down the name of the product which is now half price. (2)
1.1.4 Convert 750 mt to litres. (2)
1.1.5 Calculate the total price of ONE 2 L-bottle of Coca Cola and TWO 2 L-bottles of Fanta. (2)
1.1.6 Arrange ALL the sale prices in ascending order. (2)
1.2 The picture below is a scaled drawing of a T-shirt for Grade 12 learners.
Scale = 1 : 25
1.2.1 Calculate the number of letters needed to print the logo on the front of the T-shirt. (2)
1.2.2 Write down the temperature displayed on the thermometer in 'C. (2)
1.2.3 Explain the meaning of the scale in the drawing above. (2)
1.2.4 Measure the length of the back of the T-shirt in mm, as indicated in the drawing. (2)
1.3 The Two Oceans Marathon and the Comrades Marathon are two of the most popular ultramarathons in the world.
TABLE 1 below shows the dates, distances and entry fees of these marathons.
TABLE 1: TWO OCEANS MARATHON VS COMRADES MARATHON
TWO OCEANS | COMRADES | |
Date (2017) | 15 April 2017 | 4 June 2017 |
Distance | 56 km | 89 km |
Entry fee | R520,00 | R460,00 |
[Adapted from www.capetownmagazine.com and www.news.comrades.com]
Use TABLE 1 above to answer the questions that follow.
1.3.1 Which race took place first? (2)
1.3.2 Which one of the two races had the longest distance? (2)
1.3.3 Determine the difference between the entrance fee of the Two Oceans Marathon and the entrance fee of the Comrades Marathon. (2)
1.4
The Comrades Marathon Association (CMA) has issued its medical statistics for the
|
[Adapted from http://www.runnersworld.co.za]
Use TABLE 2 above to answer the questions that follow.
1.4.1 Write down the maximum time given to the athletes to complete the Comrades Marathon. (2)
1.4.2 State if the medical statistics data is discrete or continuous. (2)
1.4.3 Write down the ratio of athletes starting the race to the athletes finishing the race. (2) [32]
QUESTION 2
2.1 ANNEXURE A shows the student fees statement for Tamryn Abrahams, a second-year Architecture student at the University of Cape Town (UCT).
Use ANNEXURE A to answer the questions that follow.
2.1.1 Explain the meaning of the term interest with reference to the student fees statement. (2)
2.1.2 Write down the balance (excluding interest) that was brought forward on the last day of the previous year. (2)
2.1.3 Calculate the monthly interest rate that was used on the overdue fees for the previous year. (3)
2.1.4 Write down the code and the name of the module/course that is the most expensive. (2)
2.1.5 Show how the amount of R6 317,70 was calculated. (2)
2.1.6 Calculate the total amount debited to this account for the courses studied in the 2017 academic year including interest on overdue fees in 2017. (3)
2.1.7 State the payment method used to transfer money into this account. (2)
2.1.8 A family friend paid the balance of R40 386,60 on condition that the amount could be paid back in equal monthly instalments, interest free. Show how the monthly instalment of R8 077,32 was calculated if the first payment was due on 1 November 2017 and the last payment was due on 1 March 2018. (2)
2.2
Use the information above to answer the questions that follow.
2.2.1 Explain the term inflation within the given context. (2)
2.2.2 Write down the price of a Spur burger in 1970. (2)
2.2.3 Calculate by how much the cost, in rand, of a trolley had increased from 2000 to 2005. (3)
2.2.4 Calculate the percentage increase of Ricoffy from 1970 to 2015. You may use the following formula:
2.2.5 A cheddamelt steak was sold for R104,90 at a percentage profit of 17,5%. Determine the cost price. (2)
2.3 TABLE 3 below shows the national budget and education budget of South Africa for 2017/18.
TABLE 3: NATIONAL BUDGET AND EDUCATION BUDGET OF SOUTH AFRICA FOR 2017/2018
NATIONAL BUDGET OF SOUTH AFRICA (IN RAND) | EDUCATION BUDGET OF SOUTH AFRICA (IN RAND | ||
Economic affairs and agriculture | 241,6 billion | Basic education | 216,7 billion |
Defence and public safety | 198,7 billion | University subsidies | 31,6 billion |
Health | 187,5 billion | Education administration | 15,8 billion |
General admin | 70,7 billion | Skills development levy institutions | 21,1 billion |
Local development and infrastructure | 195,8 billion | National student financial aid scheme (NSFAS) | 15,3 billion |
Debt service costs | 162,4 billion | Technical and vocational education and training | 7,5 billion |
Socialprotection | 180,0 billion | Other | 12,5 billion |
Education | 320,5 billion |
[Adapted from www.graphics24.com]
Use TABLE 3 above to answer the questions that follow.
2.3.1 Which of the amounts below represents the economic affairs and agriculture budgets?
2.3.2 Explain the term budget within the context above. (2)
2.3.3 Write down the item which receives the third most money from the education budget. (2)
2.3.4 Calculate the percentage of the total education budget that is allocated to the NSFAS. (3)
2.3.5 University subsidies comprise about 9,86% of the total education budget. Estimate the combined budget, as a percentage, for education administration and the NSFAS. (2) [41]
QUESTION 3
3.1 Liam and Amy are planning their wedding. Amy wants a four-layer red velvet wedding cake. She must still decide between a cylindrical or rectangular cake as shown on ANNEXURE B.
Use ANNEXURE B to answer the questions that follow.
3.1.1 Determine the total height of the cylindrical cake in millimetres.
3.1.2 The base (bottom) layer of the cylindrical cake has a radius of 14 cm.
You may use the following formula:
3.1.3 Define the term perimeter. (2)
3.1.4 Calculate the area (in cm2) of the base of the pan needed to bake the top layer of the rectangular cake.
You may use the following formula:
3.2 Aunt Abby will bake the wedding cake. She will be using a recipe from a recipe book published in England.
NOTE:
3.2.1 Aunt Abby needs 3 and a half pounds of butter. Determine the mass of butter, in kilogram. (2)
3.2.2 Aunt Abby only has a kitchen scale available. If aunt Abby needs 625 ml, of flour, determine the mass of the flour in grams. (2)
3.2.3 The cake must be baked at 356 °F. Determine to what degree Celsius the oven should be turned. You may use the following formula:
QUESTION 4
4.1 A parkrun is a weekly 5 km run. A group of runners drove from Upington to Springbok to take part in the weekly parkrun in Springbok.
ANNEXURE C shows a route map from Upington to Springbok.
Use ANNEXURE C to answer the questions that follow.
4.1.1 Give the general direction from Upington to Springbok. (2)
4.1.2 Write down the name of the national park close to Kamieskroon. (2)
4.1.3 Name TWO towns the runners will pass through on their way to Springbok, following the N14. (3)
4.1.4 Identify the type of scale used on the map. (2)
4.1.5 Use the given scale to determine the actual distance (to the nearest km) between Upington and Springbok. (4)
4.2
On arrival in Springbok the runners must first pick up Joe, a fellow runner, before heading to the parkrun (B). ANNEXURE C shows a street map indicating the route from entering Springbok (A) to the parkrun (B). |
Use ANNEXURE C to answer the questions that follow.
4.2.1 Name the road by which they will enter Springbok. (2)
4.2.2 Joe gives them the following directions to his home:
Use the directions above to determine in which street Joe lives. (2)
4.2.3 Name of the lodge near the parkrun. (2)
4.2.4 The distance from Joe's house to the parkrun is 2,34 km. They travel at an average speed of 40 km/h. Determine how long it will take them (in minutes) to get from Joe's house to the parkrun.
You may use the following formula:
4.2.5 29 of the 42 athletes who participated in the parkrun were female. Determine the probability of randomly selecting a male athlete from this group. (2) [24]
QUESTION 5
5.1
[Adapted from: http://www.fpasa.co.za]
Study TABLE 4 above to answer the questions that follow.
5.1.1 Write down the total loss, in rand, caused by fire during 2011. (2)
5.1.2 Calculate the mean total loss, in rand, caused by fires for the period 2010 to 2015. (3)
5.1.3 Identify the maximum number of fires for the period 2010 to 2015. (2)
5.1.4 Calculate the value of A, the fire loss as a percentage of the GNI for 2013. Round your answer to TWO decimal places. (4)
5.2
[Adapted from: www.statssa.co.za]
Use TABLE 5 above to answer the questions that follow.
5.2.1 Explain the meaning of the term unemployed within the context of the table above. (2)
5.2.2 Determine the value of X, the number of people employed in Mpumalanga. (2)
5.2.3 Name ONE data collection instrument that could be used to collect the data above. (2)
5.2.4 Calculate the percentage of people in the Western Cape who are NOT economically active (NEA). (3)
5.2.5 Write down the ratio of employed people to unemployed people in South Africa in the form ... : 1. (2)
5.2.6 Determine the probability (as a decimal) of randomly selecting a person in the Free State who is NOT economically active (NEA). (3)
5.2.7 The graph on the ANSWER SHEET represents the number of economically active people, as well as those who are not economically active (NEA) in South Africa. The bars for ALL economically active persons and only the bar for the people in the Eastern Cape who are NOT economically active (NEA) are drawn.
Use the ANSWER SHEET to draw the graphs for the rest of the provinces. (6)
5.2.8 Determine the probability, as a simplified fraction, of selecting a province where fewer than 350 000 people are unemployed. (4) [35]
TOTAL: 150
ANSWER SHEET
QUESTION 5.2.7
CENTRE NUMBER:
EXAMINATION NUMBER
MATHEMATICAL LITERACY
PAPER 1
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
MARKS: 150
Symbol | Explanation |
M | Method |
MA | Method with accuracy |
CA | Consistent accuracy |
A | Accuracy |
C | Conversion |
S | Simplification |
RT | Reading from a table/graph/document/diagram |
SF | Correct substitution in a formula |
O | Opinion/Explanation |
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:
QUESTION 1 [32 MARKS] ANSWER ONLY FULL MARKS | |||
Q/V | Solution | Explanation | T&L |
1.1.1 | ✔✔A 1 / one | 2A for correct day (2) | M L1 |
1.1.2 | Price before saving ✔M | 1M adding correct values | F L1 |
1.1.3 | Ariel ✔✔A | 2A product (2) | F L1 |
1.1.4 | ✔MA | 1MA for dividing by 1 000 OR 1MA for multiplying by 0,001 | M L1 |
1.1.5 | Price | 1MA multiplying correct values 1CA simplification (only if R7,70× 3) (2) | F L1 |
Q | Solution | Explanation | T&L |
1.1.6 | R11; R15; R18; R22; R30; R43; R44; R45; R65; R250✔✔A | 2A arranging in correct order | D L1 |
1.2.1 | English = 35 letters OR 15 letters ✔✔A | 2A correct number WC, FS, NC Provinces accept both (2) | M L1 |
1.2.2 | 44 0C ✔✔A | 2A correct reading Accept 44 - 45 0C (2) | M L1 |
1.2.3 | One unit on the drawing represents twenty five units in reality ✔✔A | 2A correct definition | MP L1 |
1.2.4 | ± 61 mm ✔✔A | 2A correct measurement (Accept 59 mm – 64 mm) \ | M L1 |
Q | Solution | Explanation | T&L |
1.3.1 | Two Oceans Marathon ✔✔RT | 2RT reading from table
| M L1 |
1.3.2 | Comrades Marathon ✔✔RT | 2RT reading from table
| M L1 |
1.3.3 | R520,00 – R460,00 ✔RT | 1RT correct values from the table | F L1 |
1.4.1 | 12 Hours ✔✔A OR Half a day ✔✔A | 2A correct time
Max 1 mark (2) | M L1 |
1.4.2 | Discrete ✔✔A | 2A discrete (2) | D L1 |
1.4.3 | ✔RT ✔A | 1RT correct values from table
Accept answer in fraction form NPR (2) | D L1 |
[32] |
QUESTION 2 [41 MARKS] | |||
Q | Solution | Explanation | T&L |
2.1.1 | Interest refers to the amount that will be added to an ✔A account that is not settled yet | 1A amount charged | F L1 |
2.1.2 | R14 819,50 ✔✔RT | 2RT balance (2) | F L1 |
2.1.3 | ✔RT | 1RT correct values | F L2 |
Q | Solution | Explanation | T&L |
2.1.4 | ✔RT | 1RT code | F L1 |
2.1.5 | ✔RT ✔M | 1RT correct values | F L1 |
2.1.6 | ✔RT ✔M | AO OR 1RT reading all correct values OR 1RT reading all correct values OR 1RT reading all correct values OR 1RT reading all correct values OR 1RT reading all correct values | F L1 |
Q | Solution | Explanation | T&L |
2.1.7 | Direct deposit \ ✔✔RT | 2RT reading correctly | F L1 |
2.1.8 | Monthly instalment | 1A calculating 5 | F L1 |
2.2.1 | Inflation is a measure of rate at which the cost of goods is changing over a period of time and is usually ✔A expressed as a percentage ✔A | 1A percentage increase | F L1 |
Q | Solution | Explanation | T&L |
2.2.2 | R0,30 OR/OF 30c ✔✔RT | 2RT correct value | F L1 |
2.2.3 | ✔M R557,00 – R418,00 ✔RG | AO | F L1 |
2.2.4 | Percentage change | AO | F L2 |
Q | Solution | Explanation | T&L |
2.2.5 | Cost price | AO | F L2 |
2.3.1 | B OR/OF R241 600 000 000 ✔✔A | 2A correct value (2) | F L1 |
Q | Solution | Explanation | T&L |
2.3.2 | Budget is the proposed way in which money will be spent on different items ✔✔A | 2A definition (2) | F L1 |
2.3.3 | Skills development levy institutions s✔✔RT | 2RT correct sector (2) | F L1 |
2.3.4 | Percentage of the total education budget | 1RG/RT correct values | F L2 |
Q | Solution | Explanation/ | T&L |
2.3.5 | Education Administration plus NSFAS amount to 31,1 billion rand | AO | F L2 |
[41] |
QUESTION 3 [18 MARKS] | |||
Q/V | Solution | Explanation | T&L |
3.1.1 | 15 cm + 17 cm + 19 cm + 21 cm ✔A | 1A adding of correct values | M L1 |
3.1.2a | Diameter = 2 × radius | AO | M L1 |
3.1.2b | Volume of a cylinder = π × r2 × height | AO | M L2 |
3.1.3 | The perimeter of a shape is the total distance around the edges defining the outline of that shape ✔✔A | 2A explanation (2) | M L1 |
3.1.4 | Area of a rectangle = length × width ✔SF | 1SF correct substitution
| M L2 |
3.2.1 | Amount in kg = 3,5 ÷ 2,25 ✔C | 1C conversion
| M L2 |
Q | Solution/ | Explanation | T&L |
3.2.2 | 1 mℓ flour = 0,7 g flour | 1C conversion | M L2 |
3.2.3 | °C = (°F – 32°) ÷ 1,8 | 1SF correct substitution | M L2 |
[18] |
QUESTION [24 MARKS] | |||
Q | Solution | Explanation | T&L |
4.1.1 | South West OR SW ✔✔A | 2A direction (2) | MPL 2 |
4.1.2 | Namaqua National Park✔✔RM | 2RM national Park (2) | MPL 1 |
4.1.3 | ✔✔RM ✔RM | 2RM first correct town | MPL 1 |
4.1.4 | Ratio scale OR number scale OR numerical scale ✔✔A | 2A ratio / number / numerical | MP L1 |
4.1.5 | Measured distance /Gemete afstand = 135 mm ✔A | 1A measures distance | MPL 3 |
4.2.1 | Voortrekker Road ✔✔RM | 2RM correct road (2) | MPL 1 |
Q | Solution | Explanation | T&L |
4.2.2 | Rivier Street ✔✔RM | 2RM correct road (2) | MP L2 |
4.2.3 | Debs-Lodge ✔✔RM | 2RM correct road (2) | MP L2 |
4.2.4 | Time = 2,34 km ✔SF | 1SF calculating time | MP L2 |
4.2.5 | P = 13 ✔A | 1A numerator (independent) | P L2 |
[24] |
QUESTION 5 [35 MARKS] | |||
Q | Solution | Explanation | T&L |
5.1.1 | R2 085 600 000 ✔✔RT | 2RT correct amount | D L1 |
5.1.2 | R1 323+ R2 085,6 +R3 162+R2 158 +R1 847 + R2 732 million ✔RT ✔CA | AO | D L2 |
5.1.3 | ✔A ✔A | 1A correct value | D L1 |
5.1.4 | ✔RT | AO | D L2 |
5.2.1 | A person who is able and willing to work, but cannot find work ✔✔A | 2A explanation | D L1 |
Q | Solution | Explanation | T&L |
People who are without work ✔✔A | 2A explanation (2) | ||
5.2.2 | X = 1 748 – 506 ✔M | 1M subtracting correct values | D L1 |
5.2.3 | Questionnaire ✔✔A | 2A correct answer (2) | D L1 |
Q | Solution | Explanation | T&L |
5.2.4 | Percentage of people | 1RT using both correct values | D L2 |
5.2.5 | 16 172 000 : 5 882 000 ✔RT | 1RT both correct values
| D L2 |
5.2.6 | ✔RT | AO | P L2 |
Q | Solution | Explanation | T&L |
5.2.7 | Do not mark this question. | ||
5.2.8 | 3 ✔✔A | AO | P L3 |
[35] | |||
TOTAL: 150 |
Upscaling of Question 5 mark
QUESTION 5 | |
Mark out of 29 | Mark out of 35 |
29 | 35 |
28 | 34 |
27 | 33 |
26 | 31 |
25 | 30 |
24 | 29 |
23 | 28 |
22 | 27 |
21 | 25 |
20 | 24 |
19 | 23 |
18 | 22 |
17 | 21 |
16 | 19 |
15 | 18 |
14 | 17 |
13 | 16 |
12 | 14 |
11 | 13 |
QUESTION 5 | |
Mark out of 29 | Mark out of 35 |
10 | 12 |
9 | 11 |
8 | 10 |
7 | 8 |
6 | 7 |
5 | 6 |
4 | 5 |
3 | 4 |
2 | 2 |
1 | 1 |
MATHEMATICAL LITERACY
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
Symbol/ | Explanation |
M | Method |
MA | Method with accuracy |
CA | Consistent accuracy |
A | Accuracy |
C | Conversion |
S | Simplification |
RT | Reading from a table/graph/document/diagram |
SF | Correct substitution in a formula |
O | Opinion/Explanation |
P | Penalty, e.g. for no units, incorrect rounding off, etc. |
R/RCA | Rounding off /Rounding with CA |
NPR | No penalty for rounding |
AO | Answer only |
MCA | Method with constant accuracy |
NOTE:
QUESTION 1 [38 MARKS] | |||
Q/V | Solution | Explanation | T&L |
1.1.1 | Discount percentage | 1RT numerator and denominator | F L2 |
1.1.2 | Sub Total | 1M subtracting discount | F L2 |
1.1.3 | ✔✔ O | 2O reason (2) | F L4 |
Q/V | Solution | Explanation | T&L |
1.1.4 | Interest Year 1 It is not enough / not sufficient | 1MA calculating interest OR 1C conversion to years OR 2M multiply the principal with 106 % | F L3 |
Q | Solution | Explanation | T&L |
1.1.5 | ✔O OR The dealer added 1% on the VAT inclusive price of ✔ O R182 500 / Calculating VAT on VAT OR Mistake is calculating the increased 1% on the VAT inculsive amount. ✔ O | 1O reason OR 1O stating the error or the solution OR 1O describing the error | F L4 |
Q | Solution | Explanation | T&L |
1.2.1 (a) | Surface area of an open box ✔SF Or = 1,02 × 5,886488 m2 | 1SF Substitution | M L3 |
1.2.1 (b) | Cost = Number of 5 litre × 2 coats × Price per 5 litre ✔ CA OR | CA from 1.2.1(a) OR 1MCA multiply by 2 | F L2 |
Q | Solution | Explanation | T&L |
1.2.2 | To protect the cargo bin's surface from scratching/rusting/ being damaged. ✔✔O OR Extend the life span of a bakkie's loading box ✔✔O OR To stop goods from slipping/protection of goods ✔✔O | 2O reason (2) | M L4 |
1.3 | Time:
Total time needed OR Apply 1st coat (20 min) 8:15 - 8:35 ✔M Apply 2nd coat (20 min) 12:35 - 12:55 ✔ MCA | 1C converting OR 1M adding times | M L2 |
[38] |
QUESTION2 [38MARKS] | |||
Q | Solution | Explanation | T&L |
2.1.1 (a) | ✔ MA | 1MA subtracting correct values | D L2 |
2.1.1 (b) | ✔MCA | CA from 2.1.1(a) | D L3 |
2.1.2 | ✔ A | 1A year increased | D L4 |
2.1.3 | ✔A ✔O | 1A product | D L4 |
2.1.4 | ✔O ✔O | 1O No | D L4 |
Q/V | Solution/Oplossing | Explanation/Verduideliking | T&L |
2.1.5 | Percentage imports and average growth of Personal Care and Cosmetics to Australia | D L3 |
Q | Solution | Explanation | T&L |
2.2.1 | Total cost = Basefare+ 10 × cost per mile | 2RT using correct values | F L2 |
2.2.2 | Maximum distance (in miles)/Maksimum afstand(in myl) | 1RT reading correct values from table | F L3 |
2.2.3 | 1 hour 9 minutes = 69 minutes ✔ C OR Difference = Post trip cost - Upfront cost | 1 C converting to minutes OR 1C time to minutes | F L4 |
Q | Solution | Explanation | T&L |
2.2.4 | To cover cost for idle/wasted time when a vehicle could have been used to assist someone when you cancel the booking. ✔✔O | 2O reasoning (2) | F L4 |
[38] |
QUESTION 3 [39MARKS] | |||
Q | Solution | Explanation | T&L |
3.1.1 | P(Coke & water) = [4/9] ✔A | 1A numerator | P L2 |
3.1.2 | South East OR East of South OR SE. ✔✔A | 2A direction (2 | MP L2 |
3.1.3 (a) | ✔A | 1A for height 1 400 m | MP L4 |
3.1.3 (b) | Lowest point : highest point | 2RT correct values | MP L2 |
3.1.4 | To take struggling runners out of the race because they are not coping. ✔✔O | 2O understanding/reason (2) | MP L4 |
Q | Solution | Explanation | T&L |
3.1.5 | The average speed required to beat the cut-off 2: Increased speed for full marathon = (3,3 + 2,7) km/h = 6km/h ✔MA ✔M ✔CA | 1RT correct values (dist. & time) OR 1M calculating speed / change the subject OR 1M calculating speed / change the subject (6) | MP L4 |
3.2.1 | 20 ℓ = 20 × 1 000 cm3 ✔ C | 1C conversion | M L3 |
Q | Solution | Explanation | T&L |
3.2.2 (a) | Area of base of 1 bucket = 3,142 × (15,6 cm)2 | 1A radius | M L3 |
3.2.2 (b) | ✔A | 1A 120 cm | M L4 |
3.2.3 | Length occupied by 4 buckets OR Length occupied by 4 buckets | 1MA multiplying OR 1MA multiplying | MP L3 |
[39] |
QUESTION 4 [35 MARKS] | |||
Q | Solution | Explanation | T&L |
4.1.1 | Total for these capsules OR Without discount for 5 OR Cost of Capsule 24 + Cost of Capsule 30 - Discount for 5 Adults | 3MA multiply tickets by price OR 3MA multiply tickets by price OR 2MA multiply tickets by price | F L4 |
Q/V | Solution/Oplossing | Explanation/Verduideliking | T&L |
OR | OR 1C conversion | ||
4.1.2 (a) | Circumference of the wheel | 1SF correct values | M L2 |
4.1.2 (b) | Distance = 1237,948 feet ✔ MA OR Circumference in metre | CA from 4.1.2(a) OR 1C conversion | M L2 |
4.2.1 | ✔ M ✔ RT | 1RT correct values | D L2 |
Q | Solution | Explanation | T&L |
4.2.2 | ✔RT | 1RT numerator & denominator | P L3 |
4.2.3 | Ratio =1 157,0 ✔RT OR Number of business visitors = 378,3 thousand OR | 1RT values OR 1RT values OR 1RT values | D L4 |
4.2.4 | 175,1 324,8 405,7 480,5 562,7 600,8 ✔MA | 1MA order, ascending or descending | D L3 |
Q | Solution | Explanation | T&L |
4.2.5 | Tourism boosts the economy (selling and buying) of the country. ✔✔O | 2O reason financial | D L4 |
4.2.6 | ✔M OR | 1M multiplying with 11 1R rounding 1A known total 1MA two unknowns 1CA simplification OR/OF 1M concept of mean 1MA two unknowns 1S simplification 1M dividing by 2 1R rounding (5) | D L4 |
[35] | |||
TOTAL:150 |
Notes to the Marking Guideline Mathematical Literacy P2 November 2018
Note: In any verification/opinion question, some form of calculation must be shown in order to give a mark for conclusion.
1.1.1 | If the values are swopped, give only 1 mark |
1.1.2 | If the candidate starts with R153 947,72 and not show how it was calculated, Max 2 marks |
1.1.5 | Only calculation done and no explanation, Max 3 marks |
1.2.1 (a) | Early rounding leading to a surface area of 6 and the litres required 24, Max 6 marks |
1.2.1 (a) | Changing the formula by replacing a + with a ×, max 6 |
1.3 | 14:35 is worth 3 marks showing calculations; 18:55 is worth 3 marks with calculations. No calculations shown for these answers, 0 marks. |
2.1.1 (b) | Omitting the value of A, max 2 marks provided it is arranged. |
2.1.2 | "constantly increasing" is worth 1 mark. |
2.1.3 | "Both Pf and Fr fluctuate", max 3 marks. |
2.1.5 | One or two points plotted wrong, max 5 marks. Three or four plotted wrong, max 4 marks etc. |
2.2.1 | Adding the costs on the table is a break-down,0 marks. |
2.2.2 | Wrong formula,0 marks. Two wrong values,0 marks. |
2.2.3 | Converting mark must be given if it is substituted without showing the time conversion. |
2.2.3 | After calculating both Post and Upfront costs the difference need not be shown, then the conclusion carries 2 marks. |
3.1.1 | Written as 4:9 or 4 out of 9, give 2 marks, |
3.1.3 (b) | If ratio values are swopped, max 2 marks. |
3.1.5 | If they use 42km and 7 hours or 25,5 km and 4h15min, max 4 marks. |
3.2.1 | If both thicknesses not subtracted, H = 26,156 cm, max 6 marks |
3.2.2(a) | Max of 4 marks if only one bucket's area is subtracted from pallet's area. |
3.2.2(b) | No unit was specified, answer can be in mm or cm, thus 264mm is accepted. |
4.1.1 | Calculating discount on senior citizen, max 7 marks.
|
4.2.1 | If the values are swopped and the answer is negative, max 2 marks |
4.2.2 | With only 1 value in the numerator, max 2 marks. |
4.2.4 |
|
The following tolerance range was agreed upon during marking guideline discussions: Questions 1.1.4 , 1.2.1 , 3.2.1 , 4.1.1 (1 mark each)
RELIGION STUDIES
PAPER 1
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
INSTRUCTIONS AND INFORMATION
SECTION A (COMPULSORY)
QUESTION 1
1.1 Various options are provided as possible answers to the following questions. Choose the answer and write only the letter (A–D) next to the question numbers (1.1.1 to 1.1.10) in the ANSWER BOOK, e.g. 1.1.11 D.
1.1.1 The Tao Te Ching was written by …
1.1.2 In the African Traditional Religion this person may throw bones in the performance of certain rituals:
1.1.3 The oldest branch of Buddhism is …
1.1.4 The great Hindu sage, Krishna Dwipayana, compiled these sacred books:
1.1.5 Holding on to traditional, conventional values:
1.1.6 The Tenach in Judaism corresponds with this part of the Christian Bible:
1.1.7 A spiritual exercise to attain moksha, which includes breath control and specific body postures:
1.1.8 Every person in the universe controls his/her own destiny and is not controlled by any other person or any superior being, like a god. This is a teaching of …
1.1.9 A declaration of the Parliament of the World's Religions adopted in 1993:
1.1.10 Two leaders of the Bahá'i faith were …
1.2 Choose the word in each list below that does NOT match the rest. Write down the word next to the question numbers (1.2.1 to 1.2.5) in the ANSWER BOOK and give a reason why it does NOT fit.
EXAMPLE: Banana; Apple; Potato; Grape
ANSWER: 1.2.6 Potato. The others are all fruit.
1.2.1 Roman Catholic; Baptist; Presbyterian; Methodist (2)
1.2.2 Fatwa; Shahada; Ilima; Wudu (2)
1.2.3 Psalms; Myths; Parables; Legends (2)
1.2.4 Copernicus; Darwin; Galileo; Kepler (2)
1.2.5 Imam; Dominee; Rabbi; Martyr (2)
1.3 Choose an item from COLUMN B that matches the description in COLUMN A. Write only the letter (A–H) next to the question numbers (1.3.1 to 1.3.6) in the ANSWER BOOK. Do NOT use any letter more than ONCE.
COLUMN A | COLUMN B |
1.3.1 On this mountain the Ten Commandments were given to Moses |
(6 x 1) (6) |
1.4 Indicate whether the following statements are TRUE or FALSE. Write 'true' or 'false' next to the question numbers (1.4.1 to 1.4.6) in the ANSWER BOOK. Correct the statement if it is FALSE.
1.4.1 Martin Luther King started the Reformation. (2)
1.4.2 The Archbishop of Canterbury is the hereditary head of the Anglican Church. (2)
1.4.3 Mixing elements of one religion with elements of another to form a new religion, is called fundamentalism. (2)
1.4.4 The Bahá'i faith is a clan-based religion. (2)
1.4.5 Conservative Judaism is the oldest subdivision of Judaism. (2)
1.4.6 Compassion is a religious observance intended to remind of a sacred occasion. (2)
1.5 Complete the following sentences by filling in the missing word. Write only the word next to the question numbers (1.5.1 to 1.5.6) in the ANSWER BOOK.
1.5.1 The Crusades of the Middle Ages were religious wars fought between the Muslims and the … (2)
1.5.2 The followers of Hinduism call their divinity … (2)
1.5.3 In the 4th century, Christianity became the official religion of the Roman Empire under Emperor … (2)
1.5.4 A statement about how something is observed to be in a religion, is called a descriptive statement, but a statement about how something ought to be, is called a … statement. (2)
1.5.5 According to Taoism, the 'ten thousand things' are produced by the Three and the Three are produced by the Two. The Two are the … and … (2)
1.5.6 The primary source of the Sharia is the holy scripture called the … (2)
TOTAL SECTION A: 50
SECTION B
Answer any TWO questions in this section.
QUESTION 2
2.1 Read the extract below and answer the questions that follow.
PARLIAMENT OF THE WORLD'S RELIGIONS The first session Parliament of the World's Religions was held in Chicago in 1893 with the aim of creating a global dialogue of faiths. Since that event, there have been several further Parliament session. [Source: Shuters Top Class Religion Studies Grade 12] |
2.1.1 What are THREE positive outcomes of the first Parliament of the World's Religions? (6)
2.1.2 In TWO sentences, explain the phrase 'global dialogue of faiths'. (4)
2.1.3 How is the parliament of a country different from the Parliament of the World's Religions? (6)
2.1.4 The Parliament of the World's Religions is but one interreligious organisation. Name ONE other interreligious organisation and discuss its successes and failures. (12)
2.1.5 The Parliament of the World's Religions was held in Cape Town in 1999. Give THREE reasons why Cape Town was chosen. (6)
2.2 Explain the relationship between religious teaching and religious belief. (4)
2.3 State TWO differences between doctrine and dogma. (4)
2.4 Explain the following in the context of religion:
2.4.1 Uniqueness (2)
2.4.2 Unity (2)
2.5 Give ONE example of the following:
2.5.1 Unity within a religion (2)
2.5.2 Unity between different religions (2) [50]
QUESTION 3
Read the extract below and answer the questions that follow.
RELIGION AND MEDIA In several studies of religious coverage in the media the main conclusions were the following:
[Adapted from Religion Studies Grade 12, Steyn et al.] |
3.1 What do you understand by the word media? Include TWO different kinds of media in your answer. (6)
3.2 Discuss conclusion (a) in the extract above, and indicate whether it is beneficial to religion. (6)
3.3 Refer to conclusion (b) in the extract above and answer the following questions:
3.3.1 Explain, in your own words, what is meant by orthodox faiths and minority religions in this context. (4)
3.3.2 Suggest TWO reasons why 'the tone is mostly hostile' towards orthodox faiths, but 'favourable' towards minority religions. (4)
3.4 Refer to conclusion (f) in the extract above. Discuss ONE example of this you have noticed in the media. (10)
3.5 With regard to religious coverage in the media, explain what is meant by EACH of the following and give a suitable example in EACH case:
3.5.1 Stereotyping (4)
3.5.2 Bias (4)
3.5.3 Impartiality (4)
3.5.4 Sensationalism (4)
3.5.5 Factual account (4) [50]
QUESTION 4
Read the extract below and answer the questions that follow.
HUMAN RIGHTS In 1948 the United Nations' Universal Declaration of Human Rights was produced and signed by governments all over the world. In this document human rights are based on the inherent dignity of human beings. [Source: Religion Studies Grade 12, Steyn et al.] |
4.1 Religious freedom is a human right. Name any TWO other human rights and discuss the responsibilities associated with EACH of them. (8)
4.2 What does the South African Constitution say about religious freedom? (8)
4.3 How does South Africa demonstrate religious freedom? (10)
4.4 Name ONE country in the world where religious freedom has been violated. Explain the nature of the violation. (8)
4.5 With reference to ANY of the religions you have studied, state FOUR teachings that show support for EACH of the following:
4.5.1 Human rights (8)
4.5.2 Religious freedom (8) [50]
QUESTION 5
5.1 Explain EACH of the following and name ONE religion with which it is associated:
5.1.1 Monotheism (4)
5.1.2 Sannyasin (4)
5.1.3 Ubuntu (4)
5.1.4 Dharma (4)
5.2 Identify ONE common feature of EACH of the following groups:
5.2.1 Christianity, Islam and Judaism (2)
5.2.2 Hinduism and Buddhism (2)
5.2.3 African Traditional Religion and the African Initiated Churches (2)
5.3 All Muslims share a common set of beliefs (imaan). List SIX of these beliefs. (12)
5.4 Compare the concepts of religion and ideology. (4)
5.5 Choose ONE religion and discuss THREE of its unique features. (12) [50]
TOTAL SECTION B: 100
GRAND TOTAL: 150
RELIGION STUDIES
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
INSTRUCTIONS AND INFORMATION
QUESTION 1
1.1 Read the extract below and answer the questions that follow.
EUTHANASIA Euthanasia is normally thought of as providing a gentle and easy death to someone suffering from a painful, terminal disease, which results in a poor quality of life. Euthanasia can be done by assisted suicide, voluntary euthanasia or non-voluntary euthanasia. [Source: Religion and Life by V Watton] |
1.1.1 Briefly explain TWO forms of euthanasia. (4)
1.1.2 List THREE advantages and THREE disadvantages of euthanasia. (12)
1.1.3 With reference to the relevant teachings of any ONE religion you have studied, discuss its response to euthanasia. (10)
1.2 Read the extract below and answer the questions that follow.
Not only are religions different from each other, but there are also internal differences within religions themselves. [Source: Focus on Religion Studies, Grade 12] |
Name any TWO branches that exist within ONE religion and discuss their differences in terms of:
1.2.1 Teachings (12)
1.2.2 Practices (12) [50]
QUESTION 2
2.1 Discuss the central teachings of any ONE religion under the following headings:
2.1.1 The nature of the world (10)
2.1.2 Reward and punishment (10)
2.2 Compare the role of sacred texts in Abrahamic and non-Abrahamic religions. (14)
2.3 Name and discuss any FOUR hermeneutical principles. (16) [50]
QUESTION 3
3.1 What is the role of inspiration in the African Traditional Religion? (10)
3.2 Name and discuss the teachings of any ONE secular worldview. (14)
3.3 What influence did secularism have on the current South African Constitution? (10)
3.4 Do you think secularism has a negative impact on the moral values of society? Give reasons for your answer. (16) [50]
QUESTION 4
Read the statement below and answer the questions that follow.
I don't see why my religion and science can't work together positively. |
4.1 Compare the scientific and the religious accounts of how the universe came into being. (10)
4.2 Discuss the scientific explanation of how human beings came into existence. (14)
4.3 Discuss the different responses of the following religions to Darwin's theory evolution:
4.3.1 Hinduism (12)
4.3.2 Christianity (14) [50]
QUESTION 5
Read the extract below and answer the questions that follow.
In many countries around the world today we find people living together who have different beliefs and practices. This can sometimes cause conflict between religious communities, especially if one of them has more power or authority in a society. [Source: Focus on Religion Studies, Grade 12] |
5.1 Identify ONE area of possible religious conflict anywhere in the world. (2)
5.2 Briefly discuss the causes of conflict in the area you identified in QUESTION 5.1. (12)
5.3 Does religion play a major role in the conflict? Give reasons for your answer. (10)
5.4 Describe the current situation in this conflict. (10)
5.5 What practical steps can religious organisations follow to resolve this conflict? (16) [50]
TOTAL: 150
RELIGION STUDIES
PAPER 2
GRADE 12
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 2018
QUESTION 1
1.1.1
1.1.2 ADVANTAGES
It may help the following patients:
In addition:
DISADVANTAGES
NOTE: Other relevant responses must be credited. (12)
1.1.3 EXAMPLE 1: CHRISTIANITY
EXAMPLE 2: HINDUISM
NOTE: Other relevant responses must be credited.
Credit is given for teachings from only the first religion identified. (10)
1.2
1.2.1 NOTE: A total of FOUR marks may be awarded for naming the two branches in either 1.2.1 or 1.2.2, but not both. The same two branches must be discussed in 1.2.1 and 1.2.2.
EXAMPLE 1: BUDDHISM
The learner may choose any TWO of the following branches:
NOTE: Other relevant responses must be credited. (12)
1.2.2 EXAMPLE 1: BUDDHISM
Theravada Buddhism
Mahayana Buddhism
Tibetan Buddhism
Zen Buddhism
NOTE: Other relevant responses must be credited (12)
1.2.1 EXAMPLE 2: CHRISTIANITY
NOTE: Other relevant responses must be credited. (12)
1.2.2 EXAMPLE 2: CHRISTIANITY
The learner may choose any TWO of the following branches: Roman Catholic Church
Eastern Orthodox Church
Protestantism
NOTE: Other relevant responses must be credited. (12) [50]
QUESTION 2
2.1
2.1.1 EXAMPLE 1: AFRICAN TRADITIONAL RELIGION
2.1.2 NOTE: If ONLY reward or ONLY punishment is discussed, award a maximum of SIX marks.
EXAMPLE 1: AFRICAN TRADITIONAL RELIGION
2.1.1 EXAMPLE 2: ISLAM
2.1.2 EXAMPLE 2: ISLAM
2.2 NOTE: If there is no comparison, award a maximum of EIGHT marks.
2.3
QUESTION 3
3.1
3.2 EXAMPLE 1:
AGNOSTICISM
EXAMPLE 2:
ATHEISM
3.3
3.4 YES
NO
QUESTION 4
4.1 NOTE: If there is no comparison, award a maximum of FOUR marks.
4.2
4.3 4.3.1 HINDUISM
4.3.2 CHRISTIANITY
QUESTION 5
5.1 EXAMPLE 1: WORLD CONFLICT (2)
5.2
5.3
5.4
5.5 NOTE: A maximum of EIGHT marks may be awarded for social intervention.
5.1 EXAMPLE 2: AFRICA
5.2
5.3
5.4
5.5
TOTAL: 150