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Ratios and Proportional Reasoning

Year 9 · Number and Algebra · 20 questions · 30 min

Hard
0 of 20
Question 1

Write the ratio 8:12 in simplest form

Question 2

A recipe uses flour and sugar in the ratio 3:2. If you use 9 cups of flour, how much sugar?

Question 3

Simplify the ratio 15:25

Question 4

A map scale is 1:50,000. A distance of 5 cm on the map represents how many kilometres in reality?

Question 5

If y is directly proportional to x and y = 12 when x = 3, find y when x = 7

Question 6

A car travels 240 km in 3 hours. At this rate, how far will it travel in 5 hours?

Question 7

Share $360 in the ratio 2:3:4

Question 8

Express 16:20 in simplest form

Question 9

If a = 10 when b = 5, and a is inversely proportional to b, find a when b = 2

Question 10

A recipe for 4 people needs 2 eggs. How many eggs are needed for 10 people?

Question 11

Simplify the ratio 18:27:36

Question 12

A scale model of a building is 1:100. If the model is 50 cm tall, how tall is the real building?

Question 13

The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?

Question 14

If y is directly proportional to x and y = 18 when x = 2, find the constant of proportionality

Question 15

A runner covers 400 metres in 50 seconds. What is their speed in metres per second?

Question 16

Divide $500 in the ratio 1:4

Question 17

On a map with scale 1:250,000, how many centimetres represent 50 km?

Question 18

Three numbers are in the ratio 2:3:5. If their sum is 100, what are the numbers?

Question 19

A shop sells apples at 5 for $2. How much do 15 apples cost?

Question 20

If a = 6 when b = 4, and a is directly proportional to b, find a when b = 10

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