Simplifying Ratios
Simplifying Rates
Dividing Quantities into a Ratio
Ratio Problems
Rate Problems
100

Simplify the Ratio 2:4

1:2

100

Write as a simplified rate. 

100 kilometres in 2 hours 

50 km/h

100

Find the total number of parts if a ratio is 2 : 7

9 parts

100

A tiler uses 4 blue tiles to every 5 orange ones. How many blue tiles are used if she uses 50 orange tiles?

40 blue tiles

100

A car is travelling at a speed of 50km/h. How far will it travel in 2 hours? 

100km

200

Simplify the ratio 6:9

2:3

200

Write as a simplified rate.

30 students for 5 teachers 

6 students/teacher

200

Divide $5 in the ratio 2 : 3

$2 and $3

200

In a Maths class the ratio of boys to girls is 4 : 7. If there are 12 boys, how many girls are there?

21 girls

200

If 3 books cost $6, how much will 10 books cost?

$20

300

Simplify the ratio 20:25

4:5

300

Write as a simplified rate. 

A car travels 200 metres over 4 seconds 

50 m/s 

300

Divide $45 in the ratio 4 : 5

$20 and $25

300

Two lengths of timber are in the ratio 3 : 8. The longer length is 56 cm. How long is the shorter length?

21cm

300

If 8Kg of chicken costs $72, how much will 3kg cost? 

$27

400

Simplify the ratio  24:30:36

4:5:6

400

Write as a simplified rate. 

$64 for 16 kilograms 

$4/Kg 

400

Divide 56 L in the ratio 3 : 5

21L and 35L

400

In a short crust pastry recipe, flour and butter are needed in the ratio 3 : 2. If 600 g flour is needed, how much butter is needed?

400g

400

Draw a travel graph for the following journey. 

In a 2 hour journey, a cyclist travelled 25km in 1 hour, stopped for 30 minutes then returned home. 

To be checked by teacher

500

Simplify the ratio 1/2 : 2/3

3:4

500

Write as a simplified rate. 

Jane is paid $175 for 5 hours work.

$35/h

500

Divide 720 cm in the ratio 4 : 3 : 5

240 cm, 180 cm, 300 cm

500

In a triangle, the lengths of the sides are 3 : 4 : 5. If the longest side is 25 cm, what is the perimeter of the triangle?

15+20+25=60 cm

500

What is the cost of paving a veranda that is 3 m long and 4 m wide, if the paving costs $8 per square metre?

$96

M
e
n
u