England · Year 6 · Ages 10–11 · Worked examples

Year 6 Ratio and Proportion: Worked Examples

See free Year 6 ratio and proportion worked examples with clear strategies and answers, aligned to the England primary curriculum.

Model the thinking

Four worked examples

Try each question first, then compare the strategy and answer. The aim is to understand the method, not just copy the final result.

1
Simplify

Simplify ratio 12:18.

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

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Answer: 2:3

2
Scale

Paint is mixed red:blue = 2:3. If red is 8 cups, blue?

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

Show answer

Answer: 12 cups

3
Share

Share £60 in ratio 2:3.

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

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Answer: £24 and £36

4
Recipe

A recipe for 4 uses 300 g flour. How much for 10?

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

Show answer

Answer: 750 g

Next step

Turn the explanation into practice

Use the printable for independent work, or return to the topic overview to choose another way to practise.

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