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MATHEMATICAL LITERACY

(First Paper) NQF LEVEL 2

NOVEMBER 2009

(10401012)

2 November (X-Paper)

09:00 – 12:00

Calculators may be used.

Candidates may use drawing instruments including rulers, pairs of compasses and

protractors and pairs of compasses.

This question paper consists of 12 pages and 1 diagram sheet.

NATIONAL CERTIFICATE (VOCATIONAL)

(10401032) -2- NC1540(E)(N2)V

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TIME: 3 HOURS

MARKS: 150

_______________________________________________________________________

INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

1.

2.

3.

4.

5.

6.

This question paper consists of NINE questions. Answer ALL the questions.

Read ALL the questions carefully.

Clearly show ALL calculations, diagrams, graphs, et cetera you have used in

determining the answers.

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

Diagrams are not necessarily drawn to scale.

Write neatly and legibly.

(10401032) -3- NC1540(E)(N2)V

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QUESTION 1

1.1 Calculate the following (only write the answer):

1.1.1 17 – 5 × 3 (1)

1.1.2

2

1+

4

1

(1)

1.1.3 46 – 3,45 ÷ 0,15 (1)

1.1.4 Express

75

30 as a percentage.

(1)

1.1.5 18 (1)

1.1.6 49 × 321 × 0 (1)

1.2 Write 3.52 pm in 24-hour-clock notation. (2)

1.3 Re-write the following numbers from the largest to the smallest value, that is in

descending order:

6,06 ; 6,66 ; 6,066 ; 6,60 ; 6,606

(2)

1.4 Jeans of R300,00 is on sale. It is marked down by 15%. What is the discounted price? (3)

1.5 Write down the missing value:

1 metre = … mm

(2)

1.6 A school has to transport 132 learners to a sports event. The organisers hire taxis

which can only transport 14 passengers at a time. How many taxis should be hired?

(2)

1.7 Divide R90, 00 between David and Sidney in the ratio 1:2. (3)

1.8 Determine the remuneration of an artisan for 6 working days if an employer pays him

R275,00 per day.

(2)

1.9 What would you pay for 2,75 kg potatoes if it is sold at R6,50 per kg? (2)

1.10 A 5 litre can of fish oil costs R65,00. Calculate the cost per litre. (2)

[27]

(10401032) -4- NC1540(E)(N2)V

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QUESTION 2

The graph given below shows how school fees increased from 2004 to 2009. Study this graph

and answer the questions that follow.

2.1 How much were the school fees in 2004? (1)

2.2 When were the school fees R2 000? (1)

2.3 State in which two consecutive years the school fees were the same. (2)

2.4 How much were the school fees in 2008? (2)

2.5 Calculate the increase in rand between 2004 and 2009. (3)

School Fees

Fee

s in

ra

nd

Year

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Study the tax invoice (till slip) shown below and answer the questions that follow.

2.6 On what date and at what time was this receipt issued? (2)

2.7 What does the '#' on the receipt indicate? (2)

2.8 What was the total cost of the items purchased? (2)

2.9 What does '–' on 'PNP BROWN BREAD 700G' indicate? (2)

[17]

STORE PHONE NO 012 3625850

SUPERMARKET

HATFIELD 28/03/2009

YOUR CASHIER IS GINA WISTEBAAR MINERAL WATER 3. 69 AIRWAVES MENTH/EUCLYPTS 6. 49 PNP BROWN BREAD 700G 5. 29 # PNP BROWN BREAD 700G VOID 5. 29– # SUB TOTAL 10. 18

ROUNDING . 03 – DUE 10. 15 CASH 10. 20 CHANGE . 05

--------------------------------------------------------- VAT @ 14% 1. 25 TAX EXEMPT INDICATOR * NON-TAXABLE INDICATOR # DISCOVERY VITALITY VIT

TAX INVOICE

VAT REG NO. 4090105588 ------------------------------------------------------

TOTAL ITEMS 3

1698 313283 12 THANK YOU 13: 04

THANK YOU FOR SHOPPING WITH US.

(10401032) -6- NC1540(E)(N2)V

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QUESTION 3

The graph illustrates Busi's journey which started from home. She ran, rested for a while and then

walked.

Busi's journey from home

0

0.5

1

1.5

2

2.5

3

0 5 10 15 20 25 30 35 40 45 50 55

Time in minutes

Dis

tan

ce i

n k

m

3.1 What was the distance in km that Busi covered after 15 minutes? (2)

3.2 For how long did she rest? (2)

3.3 How long did it take her to cover 2 km? (2)

3.4 Use the following formula to determine Busi's speed:

speed = takentime

covered distance

3.4.1 Calculate Busi's running speed in km/minute (3)

3.4.2 Calculate Busi's walking speed in km/minute (4)

3.5 If Busi started her journey at 08:30, at what time will she reach the 2½ km mark?

Write the answer in digital time.

(2)

[15]

(10401032) -7- NC1540(E)(N2)V

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QUESTION 4

4.1 Below is a drawing of a box (rectangular prism). Answer the questions that follow.

4.1.1 Calculate the area of the shaded rectangular surface.

Use the formula: Area = length × breadth

(2)

4.1.2 Calculate the area of the base of the box. (2)

4.1.3 How many edges with a length of 9,5 cm does the box consists of? (2)

4.1.4 Calculate the volume of the box.

Use the formula: Volume = length × breadth × height

(3)

4, 8 cm

9, 5 cm

4, 1 cm

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4.2 Use the map to answer the questions that follow.

4.2.1 What is the direction from Durban to Port Edward? (2)

4.2.2 On which national road will you travel from Umhlanga Rocks to

Zinkwazi Beach?

(2)

4.2.3 Estimate the distance between Durban and Ballito using the scale on the

map where 1 cm = 20 km.

(2)

[15]

N

S

E W

(10401032) -9- NC1540(E)(N2)V

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QUESTION 5

The graph below shows the marks obtained by a group of Level 2 learners in a test out of 10.

Study the information given on the graph carefully and then answer the questions that follow.

Test profile of Level 2 learners - Test 1

0

1

2

3

4

5

6

7

8

0 1 2 3 4 5 6 7 8 9 10

Test Marks

Nu

mb

er o

f le

arn

ers

5.1 What type of graph is displayed above? (2)

5.2 Select the correct word from those given in brackets that will make the statement

TRUE. Write down only the word.

The highest column represents the most frequent score and is called the

(mean/median/mode).

(2)

5.3 How many learners obtained more that 50%? (3)

5.4 How many learners achieved 30% or less? (3)

5.5 How many learners wrote the test? (3)

5.6 Calculate the total marks obtained by the group of learners. (4)

5.7 Calculate the average percentage (%) of the group of students. (3)

[20]

(10401032) -10- NC1540(E)(N2)V

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QUESTION 6

Peter is a student who sells torches at a flea market to earn pocket money. He buys a maximum

of 200 torches per week at R10 each and sells them at R14. His fixed costs are R300 per week.

Study the cost table below and then answer the questions that follow.

TABLE 1: Costs

Number of torches 0 100 200 (ii)

Total Cost (R) 300 (i) 2 300 3 500

6.1 Determine the missing values for (i) and (ii) by using the following formula:

Total cost = number of torches × R10,00 + R300 (3 × 2)

(6)

Study the table given below and then answer the questions that follow.

TABLE 2:…

Number of torches sold 0 100 (i) 350

Income (R) 0 1 400 2 800 (ii)

6.2 What information is represented in TABLE 2? (1)

6.3 Complete the formula to determine his total income by writing down the missing

parts:

Total income = … × …

(2)

6.4 Determine the values for (i) and (ii) in TABLE 2. (2 × 2) (4)

6.5 Calculate Peter's profit if he sells 200 torches for a week. (4)

[17]

QUESTION 7

Use the table and the information below to answer the questions that follow.

Cylinder: A B

Radius (cm) 3 (ii)

Diameter 6 9

Height (cm) 8 8

Volume (cm3) (i) 508,7

Information:

Cylinder: Volume = π × r2 × h, where

π = 3,14

r = radius

h = height

(10401032) -11- NC1540(E)(N2)V

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7.1 Calculate the volume of cylinder A, the value of (i). (3)

7.2 Determine the radius of cylinder B, the value of (ii). (2)

[5]

QUESTION 8

Mpho wants to buy the camera advertised below. He also received a pamphlet from Quick

Loans. Mpho does not have enough cash, therefore he is considering all options that are

available.

Study the advertisement and the pamphlet and answer the questions that follow.

8.1 If Mpho chooses the deposit option, calculate what the total cost will be. (3)

8.2 Calculate the total amount that Mpho will pay back to Quick Loans if he borrows

R1 500 to buy the camera.

(2)

8.3 Choose which option is the most economical: Quick Loans or the deposit option?

Justify your answer.

(3)

[8]

QUICK LOANS

Loan

Amount

12×Monthly Instalments

R1 500 R187,50

R2 000 R250,00

R3 000 R375,00

CAMERA WORLD SILVERTON

SPECIAL OFFER!!!

SONI CAMERA

Cash Price: Was: R1 999, 95 Now: R1 499, 95

OR R400 Deposit + 12 × R159, 67

(10401032) -12- NC1540(E)(N2)V

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QUESTION 9

The table below shows the percentages obtained by students in a Mathematical Literacy Level 2

test paper. Answer the questions that follow.

Norah

53% Zandi

38% Johnson

41% Dolly

28% Vukile

56% Nancy

68%

Rebecca

45% Abegail

81% Patrick

44% Eric

68% Sindy

54% Boniwe

56%

Peggy

29% Richard

46% Dawid

56% Onke

30% Sibusiso

72% Sasha

55%

Lennox

26% Buli

36% Martie

40% Zuki

51% Gale

56% Johan

18%

Lizzy

66% Martha

43% Zola 31%

Jesicca

47% Andrew

83% Adam

60%

9.1 Determine the mean (average) percentage of the Mathematical Literacy students. (4)

9.2 Determine the range. (2)

9.3 Determine the median. (3)

9.4 Complete the following tally-frequency table by writing down the missing values/

information, (i) – (v).

(5)

9.5 Which class interval represents the most learners? (2)

9.6 How many students failed the test if the pass requirement is 30%? (2)

9.7 How many students obtained distinctions (80% – 100%) in the test? (2)

9.8 Use the information in the tally-frequency in QUESTION 9.4 to draw a bar graph on

ANNEXURE A. Label the axis.

(6)

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TOTAL: 150

Class Interval Tally Frequency

10 – 19% | 1

20 – 29% ||| (i)

(ii) |||| 4

40 – 49% 7

50 – 59% (iii) 8

60 – 69% |||| 4

70 – 79% | 1

80 – 89% || 2

90 - (iv) 0

Total (v)

|||| ||

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ANNEXURE A: QUESTION 9.8

ANSWER SHEET MATHEMATICAL LITERACY PAPER 2

Examination No. Centre No. 9 9 9 9

Distribution of test marks

0

1

2

3

4

5

6

7

8

9

10

10-1

9 %

20-2

9 %

30-3

9 %

40-4

9 %

50-5

9 %

60-6

9 %

70-7

9 %

80-8

9 %

90-1

00 %

……………………………………………….

……

……

……

……

……

……

…...

(6)