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.

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.

ProCompare and infer.

Are the ratios 4:6 and 6:9 equivalent?

  • Yes — both simplify to 2:3.
  • No.
  • Cannot tell.
  • Yes — both even.

Answer: Yes — both simplify to 2:3.. 4:6 = 2:3; 6:9 = 2:3.

GuruMulti-step reasoning.

A map has a scale of 1:50,000. A road is 6 cm on the map. What is its real length in km?

  • 0.3 km
  • 3 km
  • 30 km
  • 300 km

Answer: 3 km. Real length = 6 × 50,000 cm = 300,000 cm = 3,000 m = 3 km.

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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