MathsYears 10–11Ratio & Proportion

Growth and decay

Model exponential growth and decay problems using multipliers

What you'll learn

  1. 1

    Imagine a bacteria colony that doubles every hour. That's growth — it gets bigger over time.

  2. 2

    Which of these is an example of growth?

  3. 3

    A bacteria population starts at 100 and doubles every hour. How many after 3 hours?

  4. 4

    Drag the slider to show the bacteria count after 2 hours, starting at 50 and doubling each hour.

  5. 5

    A radioactive sample has 80 g and loses half its mass each year. How much remains after 2 years?

  6. 6

    Use the bar model to show a population of 200 that grows by 50% (adds half its size) in one step.

  7. 7

    If a tree grows by 10% each year and is 2 m tall now, how tall is it after 1 year?

Practise Growth and decay with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.