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

RookieRead and interpret directly.

Simplify the ratio 6:9.

  • 1:3
  • 2:3
  • 3:4
  • 2:6

Answer: 2:3. Divide both parts by their HCF (3): 6 ÷ 3 = 2, 9 ÷ 3 = 3. Simplified ratio: 2:3.

ProCompare and infer.

Sam and Mia share £45 in ratio 2:3. How much does MIA get?

  • £27
  • £18
  • £15
  • £22.50

Answer: £27. 5 parts; £45/5 = £9. Mia: 3 × £9 = £27.

GuruMulti-step reasoning.

A drink is made of squash and water in ratio 1:4. To make 1.5 litres of drink, how much SQUASH?

  • 300 ml
  • 375 ml
  • 1,200 ml
  • 150 ml

Answer: 300 ml. Total parts 5. 1.5L = 1500 ml. ÷ 5 = 300. Squash: 1 × 300.

Skills in this topic

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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