NumberDiagram

Common Mistakes to Avoid

Part of Growth & DecayGCSE Mathematics

This diagram covers Common Mistakes to Avoid within Growth & Decay for GCSE Mathematics. Revise Growth & Decay in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 7 of 8 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 7 of 8

Practice

12 questions

Recall

22 flashcards

Common Mistakes to Avoid

❌ Wrong Multiplier

Mistake: 20% growth → multiply by 0.2

Correct: 20% growth → multiply by 1.2

Remember: Growth = 1 + rate, Decay = 1 - rate

❌ Linear Thinking

Mistake: "5% growth for 4 years = 20% total growth"

Correct: (1.05)⁴ = 1.216 = 21.6% total growth

Remember: Compound effects are not linear

❌ Time Period Confusion

Mistake: Monthly rate for 2 years = n = 2

Correct: Monthly rate for 2 years = n = 24

Remember: Match periods to the rate

❌ Half-life Miscounting

Mistake: Half-life = 3 years, total time = 9 years → n = 3

Correct: 9 ÷ 3 = 3 periods → n = 3 ✓

Remember: Divide total time by half-life period

Keep building this topic

Read this section alongside the surrounding pages in Growth & Decay. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Growth & Decay

A quantity increases by 8% each year. Which multiplier should be used for each year?

  • A. 0.08
  • B. 0.92
  • C. 1.08
  • D. 1.8
1 markfoundation

Explain the difference between simple interest and compound interest.

2 marksstandard

Quick Recall Flashcards

What is the formula for half-life decay?
N = N₀ × (0.5)ⁿ Where: N = remaining amount N₀ = initial amount n = number of half-life periods
What is the formula for exponential decay?
N = N₀ × (1 - r)ⁿ Where: N = final amount N₀ = initial amount r = decay rate (as decimal) n = number of time periods

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