Section 1.1: Conversions GRADE 12 CAPS

*MATHEMATICAL LITERACY GRADE 12 CAPS

TOPIC 1: Measurement

Section 1.1: Conversions

2

*Topic 1: MeasurementThe following sections will be covered:

1.1 Conversions

1.2 Time: working with transport time-tables

1.3 BMI growth charts for children

1.4 Calculating perimeter, area and volume

*ConversionsIn Section 1.1, learners will be able to:

*Convert units of measurement:

� from memory for the metric system,

�using given conversion factors and/tables,

� between different systems.

*Express measurement values and quantities in units appropriate to

the context.

*Conversions

For all conversions use the following:

*Conversions*We will start with revision of conversions done in Grade 10 and 11.

�Conversion from memory in the metric system

Table: 1Distance Mass Volume

10 mm = 1 cm 1 000 mg = 1 g

100 cm = 1 m 1 000 g = 1 kg

1 000 m = 1 km 1 000 kg = 1 tonne

*Example 1:* 

*Solutions: Example 1* 

*Conversions

�Conversions using conversion factors or tables:

Table: 2

�Conversions between different systems

Table: 3Baking powder Flour Salt Sugar

*Example: 2* 

*Solutions: Example 2 cont.* 

*Solutions: Example 2 cont.* 

*Conversions

�Metric to imperial

Table: 4Imperial Metric Metric Imperial

Length 1 inch 25,4 mm1 cm 0,394 inch

1 foot (12 inches) 304,8 mm

1 mile 1,609 km 1 km 0,621 mile

Mass 1 ounce 28,35 g 1 g 0,035 ounces

1 pound (16 ounces) 453,59 g 1 kg 2,205 pounds

Volume 1 US gallon (8 pints) 3,785 l 1 l 0,624 US gallons

* Activity: 1* 

*Solutions: Activity 1* 

*Solutions: Activity 1 cont.* 

*Conversions* 

*Conversions* 

*Conversions�Calculated area to liquid volume conversions

How does a painter know how much paint to buy to paint a wall?

*First, he calculates the surface area that he will paint.

*Then he finds the spread rate of the paint he will use.

What is spread rate?

�It is the conversion ratio for converting from area to liquid volume.

*Activity: 2* 

*Solutions Activity 2* 

*Final Assessment Questions 1-10

*Question 1 * 

*Question 2Convert 5 263 mm to metres

A. 5,263 m

B. 52,63 m

C. 526,3 m

D. 5,263 mm

*Question 3 What unit of measurement would you use to measure the capacity of a

cup?

A. Metres

B. Millilitres

C. millimitres

D. grams

*Question 4* 

*Question 5 * 

*Question 6 * 

*Question 7 Write 1 782 minutes in days, hours and minutes

A. 2 day 5 hours 42 minutes

B. 1 day 5 hours 42 minutes

C. 1 day 6 hours 42 minutes

D. 1 day 4 hours 42 minutes

*Question 8Jerry needs 4 tonnes of stone to mix with cement to lay a foundation of

a house. The stone can only be bought in bags of 25 kg. Calculate how

many bags he needs to order.

A. 320 bags

B. 32 bags

C. 16 bags

D. 160 bags

*Question 9* 

*Question 10* 

*Solutions: Final Assessment Questions

1. C

2. A

3. B

4. A

5. D

6. C

7. B

8. D

9. A

10. B