GCSE · Direct & inverse proportion

Direct proportionExam-style questions

Why "directly proportional" means multiplied by a fixed number, how the unitary method and the formula y = kx are the same idea, and how to spot when a relationship is (and isn't) direct proportion.

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13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Box A contains 300 g of cereal and costs £1.86. Box B contains 500 g of the same cereal and costs £3.20.

Which box is better value for money? You must show your working.
Level 4 · 3 marksTry it
2
A recipe for 12 cookies uses 150 g of flour. Aisha has 400 g of flour and plenty of every other ingredient. Work out the greatest number of cookies Aisha can make.
Level 4 · 3 marksTry it
3
Kitchen roll is sold in two pack sizes.
- Pack A: $4$ rolls for £ $2.28$
- Pack B: $9$ rolls for £ $5.22$
Which pack is better value for money? You must show your working.
Level 4 · 3 marksTry it