Application skills

Cambridge University Press

978-1-107-67038-9 ¡ª Study & Master Mathematical Literacy Learner's Book Grade 12

Karen Press , Karen Morrison

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TERM 1

Application skills

Topic: Measurement

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Measuring units and conversions

Measuring time

Topic: Finance

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Financial documents at home and at work

Tariffs

Income-and-expenditure statements and

budgets

Cost price, selling price and break-even

analysis

Topic: Data handling

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Data handling

Basic skills

Numbers and operations with numbers, and

patterns, relationships and representations are

integrated with the other topics throughout

the term.

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Cambridge University Press

978-1-107-67038-9 ¡ª Study & Master Mathematical Literacy Learner's Book Grade 12

Karen Press , Karen Morrison

Excerpt

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Unit 1

Measuring units and conversions

In Grades 10 and 11, you worked with measuring units for time, length and

distance, temperature, mass, volume, area and perimeter. You also used

conversion factors to convert between metric and imperial measuring units,

to work out costs of materials given the unit costs, and to adapt recipes, plans

and other instructions for different sizes and quantities of final products. In

Grade 12, you will use and extend these skills as you work with a range of

measurement tasks in different contexts.

Conversion tables

The most common tools available to help you with conversions of measuring

units are conversion tables.

The tables you will need for the main conversions in this course are in the

basic skills section (see pages 496 to 500).

Formulae for converting temperature

Do you remember how to convert temperatures from Fahrenheit to Celsius?

Temperature conversions

helpful hint

Websites do not

always stay on the

internet. If



is no longer available,

you can find other

websites that offer

similar conversion

tools by searching

for ¡®measurement

conversions¡¯ or

¡®metric-imperial

measurements¡¯.

A useful website is

checkyourmath.

com.

2

Formulae for converting Celsius (C) and Fahrenheit (F) temperatures:

¡ãF = (1,8 ¡Á ¡ãC) + 32¡ã

¡ãC = (¡ãF ¨C 32¡ã) ¡Â 1,8

Internet conversion tools

Many websites offer tools to convert a quantity from one measuring unit to

another. For example, is easy to use to convert

almost any measurement you will need.

1.1 Test your conversion skills

You may use the appropriate conversion tables on pages 496 to 500 to do the

conversions.

1. Convert 9,553 m to:

a. centimetres (cm)

b. millimetres (mm)

c. feet (ft)

d. inches (in.)

TERM 1 ? Week 1

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Cambridge University Press

978-1-107-67038-9 ¡ª Study & Master Mathematical Literacy Learner's Book Grade 12

Karen Press , Karen Morrison

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2. Convert 450 yards to:

a. kilometres (km)

b. metres (m)

c. miles

d. feet (ft)

3. Convert 0,06 m to:

a. centimetres (cm)

b. millimetres (mm)

c. inches (in.)

d. feet (ft)

4. Convert 726,12 mm to:

a. centimetres (cm)

b. metres (m)

c. inches (in.)

d. yards (yd)

5. Convert 79,4 km to:

a. metres (m)

b. yards (yd)

c. miles

6. Convert 12 000 miles to:

a. yards (yd)

b. kilometres (km)

c. metres (m)

d. light years

7. Convert 833 g to:

a. kilograms (kg)

b. milligrams (mg)

c. ounces (oz)

d. pounds (lb)

8. Convert 555,045 kg of water to:

a. grams (g)

b. tonnes

c. pounds (lb)

d. litres (?)

9. Convert 0,035 g of water to:

a. milligrams (mg)

b. ounces (oz)

c. millilitres (ml)

10. Convert 467 210 mg of water to:

a. grams (g)

b. kilograms (kg)

c. litres (?)

11. Convert 17,54 metric tonnes to:

a. kilograms (kg)

b. pounds (lb)

c. tons (imperial)

12. Convert 41 067,85 kg to:

a. grams (g)

b. ounces (oz)

c. t (metric)

13. Convert 0,05 ? to:

a. millilitres (ml)

b. fluid ounces (fl. oz)

c. pints (pt)

14. Convert 664 500 ml to:

a. litres (?)

b. kilolitres (kl)

c. gallons (gal)

15. Convert 950,12 ? to:

a. kilolitres (kl)

b. millilitres (ml)

c. pints (pt)

16. Convert 0,6905 kl to:

a. litres (?)

b. millilitres (ml)

c. fluid ounces (fl. oz)

17. Convert 3 030 cm2 to:

b. square millilitres (mm2)

a. square metres (m2)

2

c. square inches (in. )

18. Convert 0,05 m2 to:

b. square millilitres (mm2)

a. square centimetres (cm2)

2

c. squares inches (in. )

UNIT 1: MeasUrINg UNITs aND CoNversIoNs ? TERM 1

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Cambridge University Press

978-1-107-67038-9 ¡ª Study & Master Mathematical Literacy Learner's Book Grade 12

Karen Press , Karen Morrison

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19. Convert 45,45 km2 to:

b. hectares (ha)

c. acres

a. square metres (m2)

20. Convert 1 200 cm3 to:

a. cubic millimetres (mm3) b. cubic metres (m3) c. cubic feet (ft3)

21. Convert 18 000 m2 to:

c. acres

a. square kilometres (km2) b. hectares (ha)

22. Convert 44 081 seconds to:

a. milliseconds

b. minutes

c. days

23. Convert 3,5 decades to:

a. centuries

b. days

c. hours

24. For these conversions, first convert the distance unit and keep the time unit

the same, then convert the time unit.

Example: 30 km/h = 30 000 m/h = 30 000 m/60 min.

= (30 000 ¡Â 60) m/min. = 500 m/min.)

Convert 100 km/h to:

a. metres per minute (m/min.)

b. centimetres per second (cm/s)

c. millimetres per millisecond (mm/ms)

Using conversions to make practical decisions

Example

Which is the best buy: _41 kg Irish butter for R29,30 or 400 g New Zealand

butter for R41,20?

To answer the question, start by finding the unit price per gram of butter.

_

1

4 kg = 250 g

1 g Irish butter costs R29,30 ¡Â 250 = R0,1172 ¡Ö R0,11/g

(Round off to two decimal places.)

1 g New Zealand butter costs R41,20 ¡Â 400 = R0,103 ¡Ö R0,10

(Round off to two decimal places.)

So, the New Zealand butter is the better buy.

1.2 Practise using conversions in practical activities

1. The diagram on the right below shows the dimensions of the kitchen sink

on the left. The measurements on the

1 000

diagram are given in millimetres.

420

530

50

50

25

400

500

25

4

TERM 1 ? Week 1

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Cambridge University Press

978-1-107-67038-9 ¡ª Study & Master Mathematical Literacy Learner's Book Grade 12

Karen Press , Karen Morrison

Excerpt

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a. What is the total perimeter of the sink and draining board

in centimetres?

b. What is the area of the draining board in square millimetres?

c. What is the area of the draining board in square metres?

d. The depth of the sink is 170 mm. What is the capacity of the sink in

each unit?

ii ??

i mm3

2. The plan below is for a low-cost (RDP) house with a total ground floor

area of 20 m2. The photograph on the right shows houses built to this plan.

(The measurements on the edge of the plan are scale bars that show the

length of different sections of the sides of the house.)

140

2800

90

1825

140

3790

2850

850

90

140

a. Redraw the plan using imperial measurements so that the plan can be

sent to a construction company in the United States of America (USA)

that wants to use it for a new housing estate.

b. Draw an enlargement of the plan that is three times bigger than the

current scale. Add a scale bar to show the new scale.

c. Fifty-five families who have been living on a plot with an area of 0,5 ha

want to apply for low-cost housing to be built on the land. If one house

has a ground floor area of 20 m2, will it be possible to build a house

according to the above plan for each family on this piece of land?

(Assume that the shape of the plot allows for the maximum number

of houses to be built.)

d. Will there be land available on the plot for each family to have a

garden or yard attached to their house? If so, how much land will

each family have?

UNIT 1: MeasUrINg UNITs aND CoNversIoNs ? TERM 1

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