AQA · Mathematics · 8300

GCSE Maths: Percentages: of an amount (non-calc)

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Percentages: of an amount (non-calc) (Corbettmaths Video 234), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. How do you calculate 10% of any amount?

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    Divide the amount by 10 (or move the decimal point one place to the left).

  2. How do you calculate 50% of any amount?

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    Divide the amount by 2 (halve it).

  3. How do you calculate 25% of any amount?

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    Divide the amount by 4 (find one quarter).

  4. How do you calculate 1% of any amount?

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    Divide the amount by 100.

  5. How do you calculate 75% of any amount?

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    Find 25% (divide by 4) and subtract from the original amount, or find 50% and add 25%.

  6. How can you find 5% of an amount using 10%?

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    Find 10% and halve it.

  7. How can you find 20% of an amount using 10%?

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    Find 10% and double it.

  8. What is the first step to calculate a percentage like 35% of an amount without a calculator?

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    Find 1% or 10% first, then multiply or combine to build the required percentage.

  9. In a commission problem where an agent earns 5% of a sale, what does 'commission' mean?

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    The amount or percentage of money earned from a sale.

  10. If 35% of trains were late, what percentage were on time?

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    65%. (100% - 35% = 65%)

  11. Can a percentage be greater than 100%?

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    Yes. Percentages greater than 100% represent amounts larger than the original whole. For example, 175% of 48 = 84.

  12. Why does increasing a number by 10% twice NOT result in a 20% overall increase?

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    Because the second 10% increase is applied to the already-increased amount, not the original. For example: 100 → 110 (first +10%) → 121 (second +10%), which is a 21% overall increase.

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