Year 6 Ratio & Proportion
Simplify ratios; share amounts in a given ratio; use scale factors and interpret map scales.
Try the worked examples below, then start an adaptive session that adjusts to your level.
Worked examples
If the ratio of cats to dogs is 1:4, and there are 5 cats, how many DOGS?
- 20
- 5
- 4
- 1
Answer: 20. 5 × 4 = 20.
Tom has £12 and Harry has £8. What is the ratio of Tom's money to Harry's in its simplest form?
- 12:8
- 3:2
- 2:3
- 6:4
Answer: 3:2. 12:8 — divide both by 4 (the HCF): 12 ÷ 4 = 3, 8 ÷ 4 = 2. Ratio = 3:2.
Why is the ratio 8:12 the same as the fraction 2/3 (in some senses) BUT not identical?
- 8:12 simplifies to 2:3 (a ratio of two parts), and 2/3 is the SHARE OF THE WHOLE the smaller part represents — different uses.
- They're identical.
- Coincidence.
- Vague.
Answer: 8:12 simplifies to 2:3 (a ratio of two parts), and 2/3 is the SHARE OF THE WHOLE the smaller part represents — different uses.. Ratio = parts; fraction = part of whole.
Skills in this topic
- Simplifying RatiosPractise simplifying ratios within Ratio & Proportion for Year 6, with worked examples and instant feedback.
- Sharing In RatioPractise sharing in ratio within Ratio & Proportion for Year 6, with worked examples and instant feedback.
- ProportionPractise proportion within Ratio & Proportion for Year 6, with worked examples and instant feedback.
- Map ScalesPractise map scales within Ratio & Proportion for Year 6, with worked examples and instant feedback.
Frequently asked questions
- What is covered in Year 6 Ratio & Proportion?
- Simplify ratios; share amounts in a given ratio; use scale factors and interpret map scales. Key skills include Simplifying Ratios, Sharing In Ratio, Proportion, Map Scales.
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