Grade 5 - Ratio Problems
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1. The ratio of dogs to cats is 5:3. The ratio of fish to dogs is 6:1.
Find the ratio of cats to fish. *
Give your answer in its simplest form.
2 points
2. Given that a:b = 4.5 and b:c = 3.2.
Find the ratio a:b:c *
Give your answer in its simplest form.
2 points
3, Alfie, Bertie and Charlie share £66. The amount Alfie and Bertie get is in the ratio 9:5. The amount Bertie and Charlie get is in the ratio 2:1.
How much does Alfie get? *
3 points
4. Dylan, Eli and Fabian share some sweets. The amount of sweets Dylan gets to the amount of sweets Eli gets is in the ratio 7:3. The amount Dylan gets to the amount Fabian gets is in the ratio 4:5. Given Fabian gets 21 more sweets than Dylan.
Work out how many sweets Eli gets. *
3 points
5. Given that a:b = 3:7 and a:c = 4:3.
Find the ratio a:b:c *
Give your answer in its simplest form.
2 points
6. Given that a:c = 1:6 and b:c = 2:5.
Find the ratio a:b:c *
Give your answer in its simplest form.
1 point
7. There are red sweets, blue sweets and green sweets in a bag. The ratio of red sweets to sweets that are not red is 2:3. The ratio of green sweets to sweets that are not green is 6:19.
Work out the ratio of red sweets to blue sweets to green sweets. *
3 points
8. A football team plays some games in a season. Each game was a win, a draw or a loss.
The ratio of the games won to the games they did not win was 9:7.
The ratio of games they lost to games they did not lose was 1:7.
Given the team played less than 50 games, work out the highest amount of games they could have won. *
2 points
9. The points A, B, C and D lie in order on a straight line.
AB:BD = 2:5 and AC:CD = 4:7
Find AB:BC:CD *
3 points
10. The points A, B, C and D lie in order on a straight line.
AB:BD = 3:5 and AC:CD = 5:6
Find AB:BC:CD *
3 points
11. Andy and Bruce share some sweets in the ratio 9:4.
Andy gets A sweets.
Bruce gets B sweets.

Carla and David share the same amount of sweets as Andy and Bruce.
They share their sweets in the ratio 5 : 2.

Carla gets C sweets.
David gets D sweets.
Find A:B:C:D *
3 points
12. A and B are in the ratio 5:1. C and D are in the ratio 2:3.
Given A + B = 2(C + D)
Find A:B:C:D *
3 points
13. Glen and Harper share some money in the ratio 5:2.
Glen gets £G
Harper gets £H

India and Jade share the same amount of money as Glen and Harper.
They share the money in the ratio 4:7.

India gets £I
Jade gets £J
Find G:H:I:J *
3 points
14. A and B are in the ratio 4:3. C and D are in the ratio 1:5.
Given 3(A + B) = C + D
Find A:B:C:D *
3 points
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