KS3Practice Questions

Ratio, proportion and rates of change

Questions grouped by subtopic. Use each block to reveal solutions.

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Ratio notation and simplification

  1. RPR-Q11 mark
    Simplify the ratio 12:18.
  2. RPR-Q21 mark
    Simplify the ratio 15:20:25.

Fractions and measures

  1. RPR-Q32 marks
    Express 30 minutes as a fraction of 2 hours.
  2. RPR-Q41 mark
    Express 2 m as a fraction of 5 m.

Scale and maps

  1. RPR-Q52 marks
    A map uses a scale of 1:10000. Two towns are 3 cm apart on the map. Find the real distance in km.
  2. RPR-Q62 marks
    A model is made to a scale of 1:50. The model length is 8 cm. Find the real length in metres.

Proportion and rates

  1. RPR-Q72 marks
    3 packs of batteries cost 6 pounds. How much do 5 packs cost?
  2. RPR-Q82 marks
    A recipe for 2 people uses 100 g of flour. How much flour is needed for 6 people?
  3. RPR-Q92 marks
    A car travels 90 km in 3 hours. Find the average speed in km per hour.

Percentage change

  1. RPR-Q102 marks
    Increase 200 by 10 percent, then decrease the result by 10 percent.