Ratio

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Description of Levels

Level 1 - Identifying ratios from pictures

Level 2 - Simplifying ratios

Level 3 - Simplifying ratios with mixed units

Level 4 - Reducing a ratio to the form 1:n or n:1

Level 5 - Simplifying ratios with fractional parts

Level 6 - Dividing a quantity in a given ratio

Level 7 - Comparing the parts of a ratio

Level 8 - Using ratios in real life

Retro: Real life problems adapted from an old Mathematics textbook

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

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1. Bob's Bananas Bob has 10 bananas and has given his friend, Sam, 30 bananas. Describe the ratio of Bob's bananas to Sam's in the form 1:n

2. Gerty's Glitter Gerty mixed 25 grams of glitter with 100 grams of glue to make her sparkly paste. Simplify the ratio of glitter to glue in the form 1:n

3. Freddy's Frantic Frogs Freddy found 15 green frogs and 45 brown frogs in his garden. Reduce the ratio of green frogs to brown frogs to the form 1:n

4. Dotty's Dizzy Donuts Dotty bought 54 large donuts and 12 mini donuts for her peculiar party. What is the simplified ratio of large donuts to mini donuts in the form n:1?

5. Wacky Wilma's Wool Wacky Wilma has 500g of red wool and two and a half kilograms of blue wool for her knitting project. Convert the weights to the same unit and express the ratio of red wool to blue wool to the form 1:n.

6. Peculiar Pete's Pizzas Pete made pizza with 1.5kg of flour and 250g of cheese. Find the simplified ratio of flour to cheese in the form n:1.

7. Clara's Colourful Cups Clara has 1.5 litres of red paint and 600ml of blue paint for her art project. Convert the volumes to the same unit and then simplify the ratio of red paint to blue paint to the form n:1.

8. Loony Larry's Lanky Llamas Larry says he has 3 meters of llama leash for every 45 centimetres of llama height. Convert the measurements to the same unit, then reduce the ratio of llama leash length to llama height to the form 1:n.

9. Zealous Zelda's Zippy Zucchinis Zelda grew zucchinis (courgettes) in her zany garden. If she harvested 16kg from a 20 square metre plot, express this mixed-unit rate in the simplest form 1:n.

10. Shining Stellar Spheres The fantasy green planet Verdantia and the blue planet Azureon are of different sizes. Their diameters are 24150km and 13800km respectively. What is the ratio of their diameters in the form n:1?

Ratio: Level 4

Use ratio notation, reduce a ratio to its simplest form and divide a given quantity into a number of parts in proportion to a given ratio.

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Exam Help More

Instructions

More Activities:

Featured Activity

Three Ways

Answers

Go Maths

Maths Map

Teachers

Description of Levels

Introduction to Ratios