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Maths

Stretch – Reverse Percentages

Stretch (universal 11+): find the original amount after a percentage change, or from a known percentage of it.

MathsAge 11+25 minutes

What this topic covers

  • Find the whole from a known percentage of it (30% is 24 → whole 80).
  • Find the original price after a percentage discount (sale price 85% of original).
  • Distinguish reverse problems from forward ones and check by working forwards.

Core concept summaries

Key ConceptsWhole from a PercentageOriginal Price After a DiscountForward or Reverse? The Direction Trap

Practice formats pupils may meet

NeurofiED uses varied practice to help pupils apply the idea actively, check understanding and build confidence over time.

clozematchingquiz

Example quiz question

30% of an amount is 24. The amount?

  1. 72
  2. 7.2
  3. 80
  4. 54
Show the answer

Answer: C. 80

1% = 0.8.