Solving Ratios
Simplifying Ratios
Worded Ratios
Scale Maps and Plans
100

Equivalent Ratio, solve for x. 2:3 = 8:x

x=12

100

Simplify the Ratio

10:100

1:10

100

Alison and Elena buy a length of material and divide it in the ratio 2:3. If Alison has 3.6m how much does Elena have?

5.4m

100

A street directory has a ratio of 1cm to 200m simplify this ratio.

1:20,000

200

Equivalent Ratios, solve for x and y. 

2:3:4 = 6:x:y

x = 9

y = 12

200

Simplify the Ratio

1/3:2/5

5:6

200

A tiler uses 4 green tiles to every 3 white ones. How many tiles are used if 100 green tiles are used?

700 tiles

200

Using the ratio 1cm:20,000cm, if the distance on the map is 5cm, what is the actual distance in kilometres?

1km

300

Are the following ratios equivalent?

12:21 = 4:6

No

300

Simply the ratio

50cm to 2m

1:4

300

When making concrete, sand, cement are mixed in the ratio 4:1. If 140kg of cement has been delivered, what is the mass of the required sand?

560kg

300

In the ratio 1cm:20,000cm, if the actual distance is 1.4km, how long should the distance be on the map?

7cm

400

Give an equivalent ration to:

1:7

Teacher discretion 

400

Simplify the ratio:

$2.70: : $12

$9:$40

400

Two lengths of timber are in the ratio 4:7. The longer length is 56cm. What is the shorter length?

32cm

400

The town of Gilgrandra is 66km north of Dubbo. If this was drawn onto a map in the scale of 1cm:100,000cm, what would the distance between the towns be on a map?

66cm

500

Complete the ratio, find x:

0.1:0.3 = 0.5:x

x=1.5

500

A store has 30 gas heaters and 20 electric heaters, find the simplified ratio of gas heaters to electric heaters.

3:2

(gas : electric)

500

In a school, teh ratio of teachers to students is 1:18. If the school has 80 teachers, how many total people are at the school?

1,520

80 Teachers, 1440 Students

500

Lord Howe Island is 2.8km wide. How wide would it be if it was drawn on a scale map in the ratio 1cm to 50,000cm?

5.6cm

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