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. Express the ratio 7:21 in its simplest form.

2. Express the ratio 16:40 in its simplest form.

3. Express the ratio 64:56 in its simplest form.

4. Express the ratio 24:28 in its simplest form.

5. The number of boys in a club is 36 and the number of girls is 20. Express this ratio in its simplest form.

6. Last year my bougainvillea plant was 135cm long. This year it is 3.36m long. Express the ratio of the plant's length last year compared to this year in its simplest form.

7. The West park has 3300 square metres of flowers beds and 900 square metres of grass. Express the ratio of flower beds to grass in its simplest form.

8. A total weight of 68kg of sugar was delivered to the Costalot Supermarket. 36kg of the sugar was stacked on the shelves while the rest was left in the stock room. Express in the lowest terms the ratio of sugar on the shelves and in the stock room.

9. A factory was painted with 68 litres of pink paint. The pink paint was made by mixing red and white paint together. It took 24 litres of red paint to make the mix. Express in the lowest terms the ratio of red and white paint used.

10. Ant and Dec were paid £63 for writing a column for a magazine. They shared out the money in proportion to the amount of work they did. Ant received £28 and Dec received the rest. Express the ratio of their earnings in its lowest terms.

Ratio: Level 2

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.

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Numskull

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Maths Map

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Description of Levels

Introduction to Ratios