NCV 2 Mathematical Literacy Hands-On Training Solution to Summative Assessment 1

Mathematical Literacy 2Module 1

Answers to Assessment Questions

Mathematical Literacy 1Future Managers

Self Assessment Pg 201. What percentage is 32 out of 800?

2. 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.

32 / 800 = 4 / 100 = 4%

Total number of oranges = 8 + 24 = 32Percentage rotten apples = 8 / 32 = ¼ = 25%


3. Express 4/5 as a percentage

4. Calculate 25% of 200kg

5. Calculate 45% of R6 500

4/5 = 4 5 x 100 = 80%

= 200kg x 25 100 = 50kg

= R6 500 x 45 100 = R2 925


6. 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


Self Assessment Pg 331. Calculate

a. 42 – 2 x 7 + 8 =

b. 22 + 48 4 – 5 =

c. 50 – (4 – 1) =

d. 6 x (2 + 4) =

e. 600 (35 –5) =

f. 26 – 2 x 8 + 8 =

g. 12 + 26 2 –5 =

36

29

45

3620

18

20


2. 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 = 285Workers present = 105 + 75 = 180Workers absent = 285 – 180 = 105


b. 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?

c. When a certain number is increased by 47 676 it becomes 100 000. Find that number.

Learners failed = Total learners – learners passed= 20485 – 16 626= 3859

100 000 – 47 676 = 52 324


d. 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


e. 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


Summative Assessment1. Give the values of the numbers that the digits

printed in red represent:a. 128 945

b. 542

c. 62 565

d. 59 246

e. 238

f. 94,625

g. 12,183

40

5002 000

50 0008

20

3


2. Calculate:

h. 20 – (5 + 2) =

i. 10 x (3 + 6) =

j. 1000 (30 - 5)

k. 38 – 3 x 6 + 9 =

13

90

4029


Question 3

a. 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


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 000R57 000 R14 250 per child


Question 3

c. 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 applesR80 – R30 = R30 for the pearsR30 16 = R1,88 per pear


Question 3

d. 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


Question 3

e. The product of a calculation involving two numbers is 1 575. One number is 35. What is the other number?

1 575 35 = 45


Question 3

e. How many times can 53 be subtracted from 3 286?

3 286 53 = 62 times


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 weeksTherefore 60 workers finish two sheds in one weekTherefore 60 workers finish eight sheds in 4 weeks.


5. 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



b. 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



c. 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



d. 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



e. 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 weekR4 500 x 4 = 18 000 per month



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 sectionsNumber of sheets is 12 x 4 = 48 sheets


6. In which units would you measure?

Distance between two towns

Volume of fluid injected into a patient

Vit C tablet given if you have a cold or flu

Quantity of water used by a household during a year

Height of a person

Length of rugby field

Paint used to paint a room

Ingredients used to bake a cake

Mass of bricks necessary to build a home

Height of an aeroplane on a long distance flight

kilometer

millilitre

milligram

kilolitre

centimetre

metre

litres

gram

ton

metre


NCV 2 Mathematical Literacy Hands-On Training Solution to Summative Assessment 1

Education

total workers

howmany workers

workers present

packing sheds

total learners learners

total number of oranges

certain number

percentage rotten apples