MATHEMATICAL LITERACY
PAPER 1
GRADE 12 
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2018

INSTRUCTIONS AND INFORMATION

  1. This question paper consists of FIVE questions. Answer ALL the questions.
  2. Use the ANNEXURES in the ADDENDUM to answer the following questions:
    • ANNEXURE A for QUESTION 1
    • ANNEXURE B for QUESTION 1
    • ANNEXURE C for QUESTION 2
  3. Number the answers correctly according to the numbering system used in this question
  4. Start EACH question on a NEW
  5. You may use an approved calculator (non-programmable and non-graphical), unless stated
  6. Show ALL calculations
  7. Round off ALL final answers appropriately according to the given context, unless stated
  8. Indicate units of measurement, where
  9. Maps and diagrams are NOT necessarily drawn to scale, unless stated
  10. Write neatly and

QUESTIONS 

QUESTION 1 

A furniture store offers a dining-room suite for sale. It should be paid off in 42 equal monthly instalments of RI 078,26 (14% VAT included). No deposit is required for this offer.

[Source: www rochester.co.za]

  1.1
1.1.1 Express (in years) the total repayment period for this offer. (2)
1.1.2 Determine the total repayment cost for this dining room suite (2)
1.1.3 The advertised price for this dining room suite is R29 999,00. The store offers 15% discount on the advertised price if the purchase is settled immediately in ONE payment
Calculate the value of the discount amount offered. (2)
1.2
1.2
1.2.1 Give, in simplified form, the ratio of distance AD to distance CB (2)
1.2.2 The perimeter of ABCD is 125,92. Calculate the distance CD. (2)
1.2.3 Write down the length of the radius of the pool. (2)
1.2.4 A fence will be erected along the curved side AB at a cost of R97,56 per running metre. Calculate the total cost of erecting the fence. (2)
1.3

 

TEMPERATURE IN ‘C (Celsius)

WEATHER FORECAST

CITY

MAXIMUM

MINIMUM

SUN AND CLOUD COVER

% CHANCE OF RAIN

A

24

6

sun

59

 

32

26

0

 

8

 -7

3

Use TABLE 1 above to answer the questions that follow.
1.3.1 Identify the city with the lowest temperature (2)
1.3.2 Calculate the temperature range for City C (2)
1.3.3 A probability scale in words and as decimal fractions is given below.
1.3.3
Use the probability scale and TABLE l above to answer the questions that follow.

  1. Identify the city that has NO chance of rain (2)
  2. Write down, in words, the chance of rain for City A (2)

1.4
1.4
Use the information and the graph above to answer the questions that follow.
1.4.1 Name the type of graph used to represent the data (2)
1.4.2 Express the number of candidates who wrote this paper in words (2)
1.4.3 Identify the question in which the candidates obtained the second lowest average percentage mark (2)
1.4.4 Determine (in minutes) the average time per mark required for this paper (2)  [30]

QUESTION 2
2.1

Mapotjo contributes a regular monthly amount from her salary towards a retirement annuity. This amount is deducted from her salary through a stop order on the 15th day of each month.
Below is a summary of the statement of her retirement annuity, as on 10 May 2017. 

Policy number

0097541

Maturity date

1 November 2029

Monthly contribution

R740,22

Payment frequency

Monthly

Current death value

R189 817,05

Retirement value — Lower inflation rate

R536 523,25

Retirement value — Higher inflation rate

R940 465,89

[Source: www.mv portfolio. co.za

 Use the information above to answer the questions that follow.
2.1.1 Define the concept stop order (2)
2.1.2 Calculate the difference between the TWO retirement values (2)
2.1.3 Determine the number of monthly contributions that still need to be paid by Mapo{jo before the policy matures (4)
2.1.4 Determine the total value of the contributions over five years if her monthly contribution remains the same (3)
2.1.5 Fill in the missing word(s) to make the following statement TRUE. An annual increase in the monthly contribution would result in ....... maturity value. (2)
2.1.6 Show that if her monthly contribution increased by 8,5%, then the new monthly deduction from her salary would be R803,14. (2)
2.2

Zoom Car Wash employs a supervisor, eight general cleaners and a machine operator. The cleaners work for seven days a week, where Monday to Saturday is regarded as normal working hours.
TABLE 2 below shows the hourly wage rate for EACH of the worker groups for 2016 and 2017.
TABLE 2: ZOOM CAR WASH NORMAL HOURLY WAGE RATE (IN RAND PER HOUR) FOR 2016 AND 2017

WORKER GROUP

2016

2017

Supervisor

A

21,93

General cleaners

16,40

17,76

Machine operator

17,90

19,39

[Adapted from Mvwaee co za]

NOTE:

  • Normal working hours: 08:30 to 17:30
  • Overtime is paid at time and a third of the normal hourly rate.
  • The Sunday wage rate is 150% of the normal hourly rate.

 Use TABLE 2 above to answer the questions that follow.
2.2.1 Calculate the 2017 overtime hourly rate for a general cleaner (2)
2.2.2 Determine the total wage a machine operator would earn for working only THREE Sundays (5)
2.2.3 All the workers received a wage increase at the beginning of 2017 

  1. Show, by calculation, that the wage increase was 8,3%. (2)
  2. Calculate the missing value A (3)

2.2.4 A general cleaner worked normal working hours for a full week. Calculate his total weekly wage. (3)
2.3 TABLE 3 below shows the record of the vehicles washed on a particular day. 

TABLE 3: RECORD OF VEHICLES WASHED ON A PARTICULAR DAY  

CATEGORY

NUMBER

COST PER VEHICLE

Bakkies

7

R70

Cars

35

R50

Minibus

4

R75

Calculate the total income received for the vehicles washed on this particular day. (4)
2.4

The supervisor at Zoom Car Wash has to report for duty 30 mminutes earlier than the normal starting time, from Monday to Saturday but leaves work at the same time as  the other workers. He receives a monthly salary, works every Sunday and is paid overtime.
TABLE 4 below shows a monthly salary slip (some data omitted) for the supervisor.
TABLE 4: MONTHLY SALARY SLIP FOR THE SUPERVISOR

SALARY SLIP

Name of employer

Zoom Car Wash

Address

12 Stateway
Welkom, 9460

Name of employee

M Ncubuka

ID No.: 890106 5387 000

Employee No.: 124567

Position

Supervisor

Payment period: 1 November 2017 to 30 November 2017

 

RATE

TOTAL HOURS
(hrs > days   weeks)

AMOUNT IN

Normal hours worked

21,93

 ......

B

Sunday hours (1,5 normal rate)

32,90

 9 × 1 × 4

1 184,40

Overtime hours worked/

(1}—  of normal rate)

......   0,5 × 6 × 4

350,88

       

TOTAL Gross Salary

   

6 272,16

       

UIF (1% of gross salary)

     ....

Net salary

   

6 209,44

[Source: www.zoomhandcarwash.com]

NOTE: Employer and employee each contribute a monthly amount of 1% of the employee's gross salary for UIF.

 Use TABLE 4 above to answer the questions that follow.
2.4.1 Explain the term employer  (2)
2.4.2 State ONE benefit of contributing towards the UIF (2)
2.4.3 Calculate:

  1. The value of B (3)
  2. The total UIF amount that must be paid on behalf of M Ncubuka to the Department of Labour (3) [44] 

QUESTION 3
 3.1

A nurse from Port Allen Clinic conducts road shows to demonstrate the use of growth charts to parents. She uses a weight-for-age chart for boys as on ANNEXURE A, which shows the recorded measurements of a boy for three visits. 

Use ANNEXURE A to answer the questions that follow.
3.1.1 Identify the age group represented on this chart (2)
3.1.2 Give the boy's weight at his first visit (2)
3.1.3 Determine the boy's age (in months) during a visit when he weighed a little less than 9 Kg (2)
3.1.4 The boy's first visit was in May.Determine the month in which the third visit took place. (2)
3.1.5 During the fourth visit, the boy weighed 11,2 kg and his body mass index (BMI) was calculated as 19,5 kg/m2. Calculate  the boy's corresponding height (in metres) rounded off to THREE decimal places. (4)
You may use the following formula: BMI =       weight (in kg)             
                                                                        (height in m) 2

3.2

The nurse uses a sedan vehicle to travel. The fuel consumption of her vehicle is 7,6 litres per 100 km travelling at an average speed.

[Adapted from m.automobilio.info] 

3.2.1 Calculate (to the nearest km) the distance her vehicle can travel using 55 litres of petrol (3)
3.2.2 The nurse spends 1 hour and 45 minutes on a particular day driving between two workstations that are 189 km apart. Determine the average speed of the vehicles. (3)
You may use the following formula: Average speed = distance 
                                                                                       time
3.3
3.3
3.3.1 Calculate the volume (to the nearest litre) of ONE medicine box excluding the handle. (4)
You may use the following formula:

Volume = length × width ×  height

3.3.2 The medicine box contains FOUR identical smaller boxes. EACH small box contains four different types of pills in cylindrical containers which are labelled A, B, K and U, as shown below
3.3.2

Determine (as a decimal fraction) the probability of randomly selecting a type U container from the medicine box. (3)  [25]
QUESTION 4
 4.1

Rammone plans to travel from Colesberg to Port Elizabeth using only national roads.
ANNEXURE B shows a strip chart of the route from Colesberg to Port Elizabeth.

Use ANNEXURE B to answer the questions that follow.
4.1.1 .Name the national  roads   that   Rammone  will   use   to   travel  to Port Elizabeth (2)
4.1.2 Which national park is furthest from the N10? (2)
4.1.3 Rammone met a friend in Paterson who had to travel 61 km via the R336 from his hometown. Name the friend's hometown. (2)
4.1.4 Calculate the travel distance between the TWO national parks(3)
4.2

Rammone visited Port Elizabeth to check on the progress made on the house being built for his parents.
ANNEXURE C shows the floor plan of the house.

 Use ANNEXURE C to answer the questions that follow.
4.2.1 Give (in mm) the external length of the wall that makes the area of Bedroom 1 larger than Bedroom 2 (2)
4.2.2 Determine (in m) the total external length of the western wall of the house (2)
4.2.3 Name the room(s) that has more than ONE entrance (2)
4.2.4 Identify the roorrr that has the same floor area as the living room (2)
4.2.5 Which bathroom fixture is NOT shown on the floor plan? (2)    [19]
QUESTION 5
5.1
5.1
5.1.1 Which ONE of the following terms best describes the data above:

  • Categorical
  • Numerical
  • Qualitative (2)

5.1.2 Determine the percentage of data values that lies between the upper and lower quartiles (2)
5.1.3 The range of Class A is 34. Calculate the value of F. (3)
5.1.4 Calculate the median percentage mark for Class A (2)
5.1.5 Determine the inter quartile range for Class B (3)
5.1.6 Give the modal percentage mark for Class A (2)
5.1.7 Calculate the missing value H   if   the   mean   percentage   mark for Class A is 70%. (3)
5.1.8 Determine (as a simplified common fraction) the probability of randomly selecting a learner from Class A who obtained a percentage mark different from any other learner in the class (3)
5.2

 A survey on the distribution of literacy levels among adults aged 35 to 64 was conducted in all provinces in South Africa. 
Table 5 below shows the 2016 adults (aged 35 to 64) literacy levels per province.
TABLE 5: ADULTY (AGED 35 TO 64) LITERACY LEVELS PER PROVINCE 

PROVINCE

LITERACY LEVELS

TOTAL

NON-LITERATE

LITERATE

Number

%

Number

%

Western Cape

288 918

14,1

1 762 494

85,9

2 051 412

Eastern Cape

393 954

26,0

1 120 567

74,0

1 514 521

Northern Cape

94 552

27,9

244 282

72,1

338 834

Free State

192 933

24,1

609 029

75,9

801 962

KwaZulu-Natal

650 033

24,9

1 956 497

75,1

2 606 530

North West

299 994

28,3

760 068

71,7

1 060 062

Gauteng

575 371

12,5

4 013 463

87,5

4 588 834

Mpumalanga

312 273

28,5

784 347

71,5

1 096 620

Limpopo

372 090

28,7

922 171

71,3

1 294 261

TOTAL

Q

 

12 172 918

    

15 353 036

[Adapted from Community Survey, 2016]

NOTE: Some data has been omittted.

Use TABLE 5 above to answer the questions that follow.
5.2.1 Calculate the missing value Q (2)
5.2.2 Determine the percentage of literate adults in South Africa (3)
5.2.3 Express (as a unit ratio) the number of non-literate adults to the number of literate adults in KwaZulu-Natal. (3)
5.2.4 Arrange the number of literate adults per province in ascending order (2)
5.2.5 Determine the province with the smallest difference between the number of literate and the number of non-literate adults (2)  [32]

TOTAL:       150

Last modified on Wednesday, 11 August 2021 12:40