Proportion (Year 6)

Practise proportion within Ratio & Proportion for Year 6, with worked examples and instant feedback.

The questions below are generated to match the National Curriculum for Year 6 and get harder as you progress from Rookie to Guru.

Worked examples

RookieRead and interpret directly.

Complete: 3:4 = ?:20.

  • 15
  • 16
  • 12
  • 10

Answer: 15. × 5 on both: 3:4 = 15:20.

ProCompare and infer.

If 3 books cost £12, how much do 7 books cost?

  • £28
  • £12
  • £21
  • £20

Answer: £28. 1 book = £4; 7 = £28.

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.

Related skills

Frequently asked questions

What is proportion?
Practise proportion within Ratio & Proportion for Year 6, with worked examples and instant feedback.
How can my child practise proportion at home?
Work through the examples below, then start a free adaptive session. Northstar adjusts the difficulty automatically and tracks mastery over time.

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