Solutions to Summative Assessment 1 from the accompanying textbook NCV 2 Mathematical Literacy Hands-On Training published by Future Managers Pty Ltd (www.futuremanagers.net)

1. Mathematical Literacy 2
Module 1
Answers to Assessment Questions
Mathematical Literacy Future Managers 1

2. Self Assessment Pg 20
1. What percentage is 32 out of 800?
32 / 800 = 4 / 100 = 4%
4. In a pocket of oranges, 8 are rotten and 24 are
still fine. Work out what percentage of the total
number of oranges is rotten.
Total number of oranges = 8 + 24 = 32
Percentage rotten apples = 8 / 32 = ¼ = 25%
Mathematical Literacy Future Managers 2

3. 1. Express 4/5 as a percentage
4/5 = 4 ÷ 5 x 100 = 80%
4. Calculate 25% of 200kg
= 200kg x 25 ÷ 100
= 50kg
7. Calculate 45% of R6 500
= R6 500 x 45 ÷ 100
= R2 925
Mathematical Literacy Future Managers 3

4. 1. A discount of 15% is given on demonstration
model new cars. What will the discount be on a
car originally costing R150 000?
Size of discount
R150 000 x 15 / 100
=R22 500
Mathematical Literacy Future Managers 4

5. Self Assessment Pg 33
1. Calculate
– 42 – 2 x 7 + 8 = 36
– 22 + 48 ÷ 4 – 5 =29
– 50 – (4 – 1) = 45
– 6 x (2 + 4) = 36
– 600 ÷ (35 –5) = 20
– 26 – 2 x 8 + 8 = 18
– 12 + 26 ÷ 2 –5 = 20
Mathematical Literacy Future Managers 5

6. 1. The word problems in this activity deal with
the logical use of four basic operations of
arithmetic.
a. In a factory there are 285 workers. On a certain day
there are 105 men and 75 women working. How
many workers were absent on that day?
Total workers = 285
Workers present = 105 + 75 = 180
Workers absent = 285 – 180 = 105
Mathematical Literacy Future Managers 6

7. a. In the year 2007, there were 20 485 learners
enrolled in a certain FET programme throughout
South Africa. If 16 626 of them passed, how many
failed?
Learners failed = Total learners – learners passed
= 20485 – 16 626
= 3859
e. When a certain number is increased by 47 676 it
becomes 100 000. Find that number.
100 000 – 47 676 = 52 324
Mathematical Literacy Future Managers 7

8. a. Joe has R987. Beverley has R25 more than Joe. If
Petra has R376 less than Joe, how much have the
three people altogether?
Beverly = R987 + R25
= R1 012
Petra = R987 – R376
= R611
Total = Joe + Beverly + Petra
= R987 + R1 012 + R611
= R2 610
Mathematical Literacy Future Managers 8

9. a. A nurse has 12m of cotton material which she
wants to cut into equal pieces of 75 cm long each.
How mean pieces of material does she get? The
material is 1m wide. She will cut the 75cm long
pieces into strips 10 cm wide. How many strips will
she eventually have?
No of pieces = 12m ÷ 0.75 = 16 strips
No of strips = 16 x (100cm / 10cm)
= 16 x 10
= 160 strips
Mathematical Literacy Future Managers 9

10. Summative Assessment
1. Give the values of the numbers that the digits
printed in red represent:
– 128 94540
– 542 500
– 62 565 2 000
– 59 246
50 000
– 238
8
– 94,625
20
– 12,183
3
Mathematical Literacy Future Managers 10

11. 1. Calculate:
– 20 – (5 + 2) = 13
– 10 x (3 + 6) = 90
– 1000 ÷ (30 - 5)40
– 38 – 3 x 6 + 9 =
29
Mathematical Literacy Future Managers 11

12. Question 3
b. A worker on a fruit farm packs 475 peaches.
Six of them are rotten. She packs the remainder
in boxes, each containing 12 peaches. How
many boxes can she fill?
No of boxes = (475 – 6) ÷ 12 = 39.08 = 39
boxes
Mathematical Literacy Future Managers 12

13. Question 3
b. Bronwyn wins R357 000 in a competition. She
invests R300 000 in an equity fund and
distributes the rest amongst her four children.
How much does each child receive?
R357 000 - R300 000 = R57 000
R57 000 ÷ R14 250 per child
Mathematical Literacy Future Managers 13

14. Question 3
b. 20 apples and 16 pears cost R30. If the apples
cost R2,50 each, find the cost of one pear.
20 x R2,50 = R50,00 for the apples
R80 – R30 = R30 for the pears
R30 ÷ 16 = R1,88 per pear
Mathematical Literacy Future Managers 14

15. Question 3
b. Every day Sam saves 50 cents and his sister
Jemima saves half as much. How long will it
take them to save R26,25 together?
2625 ÷ (50 + 25) = 2625 ÷ 75 = 35 days
Mathematical Literacy Future Managers 15

16. Question 3
b. The product of a calculation involving two
numbers is 1 575. One number is 35. What is
the other number?
1 575 ÷ 35 = 45
Mathematical Literacy Future Managers 16

17. Question 3
b. How many times can 53 be subtracted from 3
286?
3 286 ÷ 53 = 62 times
Mathematical Literacy Future Managers 17

18. 4.It takes 18 workers to finish 4 packing sheds in 5
weeks. How many weeks will it take 60 workers
to finish 8 packing sheds?
One worker finishes 1/6 of a packing shed in 5
weeks.
Sixty workers finish 10 packing sheds in five weeks
Therefore 60 workers finish two sheds in one week
Therefore 60 workers finish eight sheds in 4 weeks.
Mathematical Literacy Future Managers 18

19. 1. Estimation of an unknown is used to solve a
problem.
a. How long will it take to travel 1500km by
car if your average speed is 100km/h
1 500 ÷ 100 = 15 hours
Mathematical Literacy Future Managers 19

20. 1. Estimation of an unknown is used to solve a
problem.
a. If you walk one kilometre in 10 minutes,
how long will it take you to complete a
20km walk?
20 x 10 = 200 minutes = 3 hours 20 min
Mathematical Literacy Future Managers 20

21. 1. Estimation of an unknown is used to solve a
problem.
a. If a typist types at a speed of 60 words per
minute, how long will she take to type a
document of 6 000 words?
6 000 ÷ 60 = 100 minutes = 1hr40min
Mathematical Literacy Future Managers 21

22. 1. Estimation of an unknown is used to solve a
problem.
a. If a tourist has R600 to spend per day, how
many days can he travel on R10 000?
10 000 ÷ 600 = 16.67 days = 16 days
Mathematical Literacy Future Managers 22

23. 1. Estimation of an unknown is used to solve a
problem.
a. Estimate the monthly income of a business
which operates five days per week, at an
estimated daily income of R900
R900 x 5 days = R4 500 per week
R4 500 x 4 = 18 000 per month
Mathematical Literacy Future Managers 23

24. 1. Estimation of an unknown is used to solve a
problem.
a. If four sheets of corrugated iron cover
roughly 8 square metres of roof, estimate the
number of sheets necessary to cover a roof
of 96 square metres.
96 ÷ 8 = 12 four sheet sections
Number of sheets is 12 x 4 = 48 sheets
Mathematical Literacy Future Managers 24

25. 1. In which units would you measure?
Distance between two towns kilometer
Volume of fluid injected into a patient millilitre
Vit C tablet given if you have a cold or flu milligram
Quantity of water used by a household during a year kilolitre
Height of a person centimetre
Length of rugby field metre
Paint used to paint a room litres
Ingredients used to bake a cake gram
Mass of bricks necessary to build a home ton
Height of an aeroplane on a long distance flight metre
Mathematical Literacy Future Managers 25