Ratio test questions

1

The ratio of grapes to oranges in a fruit bowl is 18:3. If there are 24 grapes, how many oranges are there?

2

To make Positively Purple paint you need to mix red, yellow and blue paint in the ratio 2:3:4. If I have 510 ml of yellow paint, how much red paint will I need to make a tin of Positively Purple paint?

3

Clare and Frances receive £400 to share from an elderly relative. They share the money in the ratio 7:9. How much do they each receive?

4

Emma, Sarah and Mark earn £60 selling donuts at a car boot sale. Emma worked for three hours, Sarah for five hours and Mark for two hours. They share the money in proportion to the number of hours worked. How much money does Sarah earn?

5

Louise and Sam have a collection of DVDs. For every two action movies Sam owns, Louise has five comedies. If Louise has 30 comedies, how many DVDs do they have in total?

6

A recipe for 12 cupcakes needs 300 g flour. How much flour is needed for 17 cupcakes?

7

Questions 7 - 10 are for Intermediate and Higher tier

The length of a piece of wood is in direct proportion to its weight. If a piece of wood is 30 cm it weighs 150 g. Write an equation for the length (L) of a piece of wood in relation to its weight (W).

8

Pierre cycles five miles in 20 minutes. Write an equation for the time taken (t) in relation to the distance cycled (d) and use this to find how far he can cycle in 1 hour and 40 minutes.

9

The number of painters employed is inversely proportional to the time taken to complete the job. If four painters can paint a house in five days, how many painters does it take to paint a house in only four days?

10

The time it takes to complete a lap on the computer game Speedy Sprints is inversely proportional to the average speed travelled. Given that when speed = 10 Speedy Sprints, time equals three minutes, what time does it take to complete a lap when travelling at 25 Speedy Sprints?