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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
Copyright reserved Please turn over
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
(10401032) -5- NC1540(E)(N2)V
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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
(10401032) -8- NC1540(E)(N2)V
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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)
[26]
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)
|||| ||
(10401032) -13- NC1540(E)(N2)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)