Ratio test questions - WJEC

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 3 hours, Sarah for 5 hours and Mark for 2 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 2 action movies Sam owns, Louise has 5 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 5 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 4 painters can paint a house in 5 days, how many painters does it take to paint a house in only 4 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 3 minutes, what time does it take to complete a lap when travelling at 25 Speedy Sprints?