NCV 2 Mathematical Literacy Hands-On Training Module 1 Activities

Mathematical Literacy 2Module 1

Answers to Activities

1Future ManagersAnswers to activities

Activity 1

Act ivi

Act ivi t Act ivAct ivi t Act ivAct iv AAAAA ct i ct i

•Do the following calculations using the M+ and MRC keys on the calculator. Write down the complete keystroke..

35965 + 269835965 - 642835965 x 14

35965 ÷ 5


Activity 21. A second hand car salesman adds R260,00 to the

price of each vehicle sold, to compensate for damages suffered during a burglary. Calculate the prices of the following cars by programming your calculator to do a constant addition.

R60 650 R25 295

R39 475 R125 855

R28 975 R49 999

60910 25555

39735 12611529235 50259


1. A bill for 6 of each of four items has to be calculated. Work out the bill, item by item. Then write the total for the bill. Work out the bill again, but this time use the shortcut methods of your calculator. Then write down the keystroke sequence that you could use with your shortcut method.

Price of one item Price of 6 items

R125,68

R252,75

R78,52

R59,87

Total Amount Owed

Keystroke

R754,08

R1516.50

R471,12

R359,22

R3 100.92

R 3 14Future ManagersAnswers to activities

Question Keystroke Answer

48 248 + 6 629

48 248 – 5 936

48 248 x 37

48 248 ÷ 8

8 248

8 248 8 248 8 24 8 2

54 87742 312

1 785 1766 031

3. Do the following calculations using the M+ and MRC keys. Write down the complete keystroke sequence.


Activity 31. In a small group, list any five numbers between

500 and 20 000. Let each member in the group give a number that first comes to mind. Write them down and do the following:

– Give the value of the first digit of every number– Give the value of the third digit of every number– Divide each number by 1000– Then give the value of the 2nd digit after the comma


Activity 31. Work with a partner; calculate with calculator

and then make a conclusion of what happens when you multiply or divide by a factor of 10.

– 2,56 x 10 =– 2,56 x 100 =– 2,56 x 1000 =

– 2,56 ÷ 10 =

– 2,56 ÷ 100 =

– 2,56 ÷ 1000=


25,6

256

2560

0,256

0.0256

0.00256

Activity 4

1. Calculate without a calculator

a 82 x 100

b 3.85 x 1 000

c 4.07 x 10

d 0.64 x 1 000

e 0.003 x 100

8 200

3 850

40.70

640

0.3


a 265; 625; 256; 526; 652; 562

b 2904,621; 2904,216; 2904,162; 2904,126; 2904,261; 2904,612

c 0,38; 3,8; 3,08; 0,83; 8,03; 8,38; 8,83

d 6,53; 3,56; 65,36; 563,35; 563,53; 653,63

e 0,44; 4,4; 0,04; 0,044; 4,04; 44,4; 44,04

8,09; 0,89; 8,9; 80,9; 89,09; 0,98; 0,098

f

2. Arrange from largest to smallest

652; 625; 562; 526; 265; 256

2904,621; 2904,612; 2904,261; 2904,216; 2904,162; 2904,126

8,83; 8,38; 80,3; 3,8; 3,08; 0,3; 0,38

653,63; 563,53; 563,35; 65,36; 6,53; 3,56

44,4; 44,04; 4,4; 4,04; 0,44; 0,044; 0,04

89,09; 80,9; 8,9; 8,09; 0,98; 0,89; 0,098 9Future ManagersAnswers to activities

3. Write in decimal notation

a. 3/10 =

b. 4/1000 =

c. 4+73/100 =

0.3

0.04

4.73


Activity 5• Work with a partner and estimate:

a. Your partner’s height, then ask what it is, or measure him or her.

b. The breadth of the classroom, then measure itc. The amount to be paid if you want to buy loose

cigarettes at R1,30 each for 8 friends. Calculate your answer and compare.


Activity 6• See how quickly you can guess the answers

1. Which number is the best estimate for 37x23?

a. 800 b. 8 000 c. 80 000

3. Which number is the best estimate for 283 x 49?

a. 1500 b. 15 000 c. 150 000

5. First estimate then calculate:

a. 19 x 42 b. 48 x 116 c. 0.87 x 3249

8. If a caterer knows that most people eat two bread rolls at lunch, how many bread rolls must he supply for a lunch organised for 140 guests?

798 5 568 2 826.63

280 bread rolls12Future ManagersAnswers to activities

Activity 7• In a group of two or three, estimate the total

costs involved when selling 50 hotdogs at the college during entrepreneurship day.– List the ingredients needed– Estimate the cost of each item and add to determine

the cost of a hotdog– Check out the cost of the ingredients at a local shop,

list them and total the cost– Calculate the price of a hotdog if you want to make a

50% profit


Activity 8Question 1: What does -1ºC for Kimberly mean?

Question 2: Which is the colder place, Kimberly or Polokwane? Which is the warmer of the two?

Question 3: Which city has the most extreme weather patterns? What is the temperature swing in this city?

Question 4: Which city has the mildest climate? What is the temperature difference in this city?

The temperature in Kimberly is one degree below the freezing point of water.

Colder: Kimberly; Warmer: Polokwane

Kimberly. 19ºC.

Cape Town. 8ºC


Activity 91. How many students in this class are male?

How many students are there in this class?What percentage is male?

5. Write down ways of transport for students in this class. Calculate the percentage of students that use the different ways of transport e.g. what percentage use the train?


Activity 101. Arrange each of the following from smallest to largest

1/80; 1/60; 1/15; 1/13; 1/8; 1/5; 1/3; 1/2

7/12; 17/24; 3/4; 5/6; 7/8

0.435; 0.448; 0.589; 0.598; 0.625; 0.751; 0.753

4/9; 49%; 0.491; 50%; 0.55; 7/12

(a) 1/8; ½; 1/15; 1/80; 1/3; 1/13; 1/60; 1/5

(b) 3/4; 7/12; 5/6; 17/24; 7/8

(c) 0.751; 0,625; 0,589; 0,435; 0,753; 0,448; 0,598

(d) 49%; 0,491; 7/12; 0,55; 50%; 4/9


Activity 10

1. Give an estimate of the sections of this pizza that is to be given to four friends each with a different degree of hunger

Section of the pizza to:

Fraction Decimal Percentage

John

Peter

Bongani

Andele

Peter

Bongani

Andele

John

1/8

1/4

5/16

5/16

0.125

0.25

0.3125

0.3125

12.5%

25%

31.25%

31.25%17Future ManagersAnswers to activities

Section of the budget to: Fraction Decimal Percentage

Rent

Water + Electricity

Food

Travel

Remainder

9/32

1/4

1/4

1/16

0.28125

0.25

0.25

0.15625

28.125%

25%

25%

6.25%

5/32

0.0625

15.625%

3. Give an estimate of each of the five sections of Ntombizodwa’s budget

Rent

Food Remainder

Water

Electricity

Travel


Activity 11

1. What is the combined capacity of all the dams?

1. Which dam is the smallest and what percentage of the total capacity is it?

1. Which dam is the biggest of all the dams and what percentage of the total capacity is it holding?

16037.1

Egmont Dam; 0.058%

Gariep; 33.3%

Work with a partner, review the level of dams in the Free State and answer the questions below


Activity 11

1. How full is this dam as opposed to last year?This year: 60.2%; Last year: 91.1%

1. Rank the dams from smallest to biggest. Which is no 9?

Egmont; Welbedacht; Groothoek; Armenia; Saulspoort; Koppies; Rustfontein; Krugersdrift; Knellpoort; Allemanskraal; Erfenis; Kalkfontein; Bloemhof; Vaal; Sterkfontein; Vanderkloof; Gariep

No 9: Knellpoort


Activity 121. Simplify the following fractions

(a) 63 / 77 (b) 9/24

(c) 36/120 (d) 25/1500

(e) 96/132

9/11

3/10

8/11

3/8

1/60


2. Complete the following conversionsFraction Decimal Percentage

7/8 0.875 87.5%

1/8 0.125 12.5%

12/20 0.6

9/20 0.45 45%

13/20 0.65 65%

717/20001/2

1/5

0.3585 35.85%0.5 50%

0.2 0.20%

4/5 0.8 80%

60%


1. Colour the relevant sections to demonstrate the following fractions

(a)

1/4

(b)

1/2

(c)

3/4

(d)

3/8

(g)

50%

(e)

0,25

(h)

60%

(f)

0,9

(i)

100%


Question 4

Situation Words + - 0

Soccer gaining territory x

losing territory x

no gain x

Time today x

tomorrow x

yesterday x

Savings Acc

deposit x

withdrawal x

constant amount x

Business breakeven x

loss x

profit x

Games ahead x

behind x

even x

Question 5

(a) Negative numbers are usually to the ___________ of positive numbers on a horizontal line

(b) Positive numbers are usually _______ negative numbers on a vertical line

right

above


Activity 13

Study the telephone message and answer the following questions:

a. Could there be a misunderstanding of the time Luluma has to meet Jack?

Yes, 8 o’clock could be in the morning or in the evening



b. What kind of misunderstanding is this?

It is a misunderstanding of the use of time notation.



b. How could or should the time rather be written?

It could be written in 24 hour notation as 8:00 or 20:00 or it could be written in 12 hour notation as 8AM or 8PM


Activity 1416 x 2 = 52 x 5 = 12 – 4 = 44 – 6 =

12 x 8 = 88 x 3 = 13 – 8 = 47 – 23 =

11 x 9 = 42 x 7 = 16 – 4 = 49 – 22 =

13 x 2 = 67 x 6 = 12 – 3 = 56 – 15 =

15 x 3 = 99 x 2 = 10 – 7 = 59 – 18 =

24 x 3 = 33 x 4 = 10 – 4 = 66 – 38 =

23 x 4 = 44 x 5 = 11 – 6 = 67 – 18 =

25 x 4 = 77 x 4 = 11 – 3 = 71 – 18 =

28 x 5 = 35 x 3 = 15 – 8 = 79 – 15 =

30 x 8 = 43 x 8 = 16 – 9 = 82 – 18 =

60 x 4 = 37 x 4 = 17 – 5 = 85 – 17 =

70 x 5 = 93 x 2 = 22 – 3 = 89 – 73 =

80 x 6 = 84 x 5 = 25 – 8 = 93 – 57 =

50 x 3 = 72 x 6 = 27 – 9 = 95 – 47 =

40 x 9 = 68 x 8 = 29 – 13 = 97 – 48 =

20 x 8 = 49 x 3 = 32 – 8 = 96 – 69 =

32

96

99

26

45

72

92

100

140

240

240

350

480

150

360

160

260

264

294

402

198

132

220

308

105

344

148

186

420

544

432

147

8

5

12

9

3

6

5

8

7

7

12

19

17

18

16

24

38

24

27

41

41

28

49

53

64

64

68

16

36

48

49

27


59x 70

041304130

152038

x 400

15201520

236864

x 37448

19202368

106456

x 19504560

1064

150543

x 35215

12901505

408

15x 26

90300390

396

22x 18176220396

39618

x 2236

360396

468

Activity 151. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 12. 13 14. 15.

16. 17. 18. 19. 20.

12x 36

72360432

36x 13108360468

432

24x 17168240408

390

78x 12014607800

0

4130

27x 55135

13501485

1092

44x 90

039603960

156057

x 300

17101710

396066

x 42132

26402772

1710

39x 28312780

1092

2772

77x 49693

30803773

148551

x 12412

00

377399

x 38792

29703762

1224 3762


Activity 161. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 12. 13 14. 15.

16. 17. 18. 19. 20.

235+111

52+12

428+428

792+792

537+537

684+795

546+738

523+128

652+759

985+999

235-111

1052-12

428-428

584-321

1999637

745-337

853-846

764-675

245-157

1842-579

346 64 856 1584 1074

19841411651

1362

1263

2630

12841479

1040

88897

124


Activity 171. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 12. 13 14. 15.

16. 17. 18. 19. 20.

R3,50+R2,75

R5,80+R17,42

R12,65+R 8,20

R 24,76+R324,50

R 66,00+R128,45

R6,25

R 376,67+R 7,35

R 56,91+R38,52

R27,73+R56,39

R4056,00+R 23,39

R485,26+R327,55

R 3,50-R2,75

R12,65-R 8,20

R376,67-R128,45

R56,91-R38,52

R4056,78+R 23,87

R485,26+R327,55

R 76,55+R22,22

R 521,99+R99,36

R737,48+R648,59

R 66,00+R128,45

R23,22 R20,85 R349,26 R195,44

R384,02 R 95,43 R84,12 R4080,65 R812,81

R0,75 R4,45 R3,46 R18,39 R4032,91

R812,81 R54,33 R422,63 R88,89 R278,7731Future ManagersAnswers to activities

Activity 181. The temperature of a patient is logically only

read to the first decimal place. If the thermometer reads 37,5625°C. What will the nurse right on the report card?

3. A urine sample of a patient – will it be measure in millilitres or litres?

5. The number of TB patients seen at a clinic per year might be 597. If you calculate the average number seen per month, the calculation will be 597 divided by 12, which is 49,75. This is not an appropriate answer, as you cannot deal with 0,75 of a person. What should the answer be?

37,6 °C

Millilitres


Activity 19Approx

to

Actual Approx figure

Approx

to

Actual Approx figure

1000 56 985 55

123 489 61

5 928 Whole no 498 625,467

9 135 32 453,92

100 54 391 574,5

629 62,5

142 850 1st decimal 489,18

1 267 64,58

10 1 482 1 784,28

106 789 23,43

57 000

123 000

6 000

9 000

54 400

600

142 900

1 300

1 480

106 790

60

60

489 625

32 453

574

63

489.2

64,6

1 784,323,4


Activity 20• R100 is share between Katie and Simon. Calculate

Katie’s share if the money is divided in the ratio:(a) 3:7 (b) 8:12 (c) 6:4

310

x 100 = R30(a)

820

x 100 = R40(b)

610

x 100 = R60(c)


Activity 211. Express the following ratios in the simplest

form:a. 42:49b. 56:80c.

2. Divide R120.00 between three employees. One employee worked for two hours, the other for three hours and the third for five hours.

36

60

= 6:7= 14:203

5=

2 + 3 + 5 = 10 therefore:Employee 1 gets: 2/10 = R24Employee 2 gets 3/8 = R36Employee 3 gets 5/8 = R60


1. The workers in a clothing factory include 180 men and 120 women.

a) Give the simplified ratio of men to womenb) Give the simplified ratio of women to the total

number of workers

a) 3:2 (Divide by 60)

a) 120:300 = 2:5


4.Three families are sharing a house. One has three members, the other family 4 members and the last family 2 members. How should they divide paying the rent of R500 for the house?

Total number of people in the house = 3 + 4 + 2 = 9

Family 1 pays 3÷9×500 = R166,67

Family 2 pays 4÷9×500 = R222,22

Family 3 pays 2÷9×500 = R111,11


1. A packer in the wine industry oversees a machine that bottles 10 000 bottles per hour. How long will it take the machine to bottle 60 000 bottles?

60 000 ÷ 10 000 = 6 hours6. Water leaks from a tank at the rate of 5ml per

second (5 ml/s). If the tank has 950 ml of water, how long will it take before it is empty?950 ÷ 5 = 190 seconds = 3 min 10 sec


1. A train travels 144km in two hours. Find the speed of the train in km/h.

144 ÷ 2 = 72 km/h


Activity 221kg g

1km m

1 kl l1 g mg

1 m mm

1 l ml2575mm m

3824 ml l8,257l ml450 km m

32,8 kg g

7495 g kg

1000

1000

1000

1000

1000

1000

2,757

3,824

8 257

450 000

32 800

7,49540Future ManagersAnswers to activities

Activity 22

m 0,5 1,75 0,4 8

cm 50 250 425

mm 500 2000 3500

2,5 2 4,25 3,5

200 40 350 800

2500 1750 4250 400 8000

175

cm 600000 12985

m 6000 2750 25

km 6 3,5 0,4 0,05 8,45

350000 275000 40000 5000 2500 845000

3500 129,85 400 50 8450

0,12985 2,75 0,025

Complete the following:


Activity 22

kl 1 0,5 0,85

l 1 0,5 20 200

ml 3000

0,001

1000

1000

1000 000

0,0005

500

500

500000

0,2

20000

0,2

200000

3

0,003

850

850000


Activity 231. We measure all the time, sometimes without realising

it. Try to identify by making a list of instruments that your group use on a daily basis. An alternative is to pick an event or holiday and decide whether any instruments of measurement are involved. Use the table below as a guideline.

5. What instruments of measurement will you use if you want to mail a parcel? Use your washing powder box as an example.

Instrument What you use it for Unit


Activity 24

Measure the lines in millimetres with your ruler:

AB: 38mm CD: 52mm EF: 22,5mm GH: 54,5mm

Read the following measuring instruments and give the answers with the correct abbreviations of measuring unit:

Almost empty

Almost full

Mass: 400g


Temperature: 150ºC

Speed: 55km/h


46

Question with regard to measuring unit

Can you hold a mass of 250g in one hand?

Can you carry a mass of 600kg on your back in a backpack?

Can a sparrow drink 6 litres of water at one visit to a birdbath?

Can you paint the exterior of a house with 2000ml of paint

Can you build a road 1 000km long for R3 000?

Can a flight from Cape Town to London be completed in two hours?

Can you eat 6kg of meat at one meal?

Is it practical to take measurements of a house with a metre long ruler

Is it possible to live outdoors in a temperature of minus 40 degrees Celsius

Yes

No

No

No

No

No

No

No

NoFuture ManagersAnswers to activities

Activity 25• Work in a group and follow instructions.

1. Estimate the length of you desk, but do not measure it

2. Use the table below and insert your estimation3. Choose 4 other objects in your classroom and

estimate each object’s length. Choose items that will require different units of measurement.

4. Include your group’s estimates in the table5. Where there are differences within your group,

calculate the group’s average, using the average formula

6. Measure each of the objects and write it in the space provided


Activity 251. Calculate the differences between the estimates

and the actual lengths of the objects2. Give yourself a mark out of 5 for accuracy, 5

being spot on and 1 being more than 20% wrong.

Object

Est. length

Unit

Measured length

Difference

Mark48Future ManagersAnswers to activities

NCV 2 Mathematical Literacy Hands-On Training Module 1 Activities

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Transcript of NCV 2 Mathematical Literacy Hands-On Training Module 1 Activities