MathsYears 7–9Ratio & Proportion

Direct proportion

Solve problems involving direct proportion including recipes and best value

What you'll learn

  1. 1

    Imagine you buy 3 packs of crisps for £1.50. If you buy 6 packs, you pay double — £3.00. The cost goes up in the same way as the number of packs.

  2. 2

    If 2 apples cost 80p, how much would 4 apples cost at the same rate?

  3. 3

    Use the bar model to show: 3 pens cost £1.20. What does 1 pen cost?

  4. 4

    Let's solve together: 5 cakes cost £4. How much for 8 cakes? 🎂

  5. 5

    Now you try: 4 books cost £10. How much for 7 books? Use the bar model to help.

  6. 6

    If 3 tickets cost £15, how much for 5 tickets?

  7. 7

    A recipe uses 200g of flour for 4 people. How much flour for 7 people?

Practise Direct proportion with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 11–14. Aligned to the UK National Curriculum.