Year 6 Word Problems

Solve complex multi-step problems that draw on all KS2 topics — mirrors the SATs reasoning papers.

Try the worked examples below, then start an adaptive session that adjusts to your level.

Worked examples

RookieRead and interpret directly.

Tom has £15. He buys a book for £8.50. How much LEFT?

  • £6.50
  • £23.50
  • £7.50
  • £8.50

Answer: £6.50. 15 − 8.50 = 6.50.

ProCompare and infer.

A bag has 2/5 red, 1/5 blue, rest green. Total 30 balls. How many GREEN?

  • 12
  • 6
  • 18
  • 10

Answer: 12. Green = 2/5. 2/5 × 30 = 12.

GuruMulti-step reasoning.

A train covers 360 km in 2 hours 24 minutes. What is its average speed in km/h?

  • 140 km/h
  • 150 km/h
  • 160 km/h
  • 170 km/h

Answer: 150 km/h. 2 h 24 min = 2.4 hours. Speed = 360 ÷ 2.4 = 150 km/h.

Skills in this topic

Frequently asked questions

What is covered in Year 6 Word Problems?
Solve complex multi-step problems that draw on all KS2 topics — mirrors the SATs reasoning papers. Key skills include Money, Speed Distance Time.

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