AQA · Mathematics · 8300

GCSE Maths: Percentages: multipliers

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Percentages: multipliers (Corbettmaths Video 239), 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. What multiplier is equivalent to 50%?

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    0.5

  2. What multiplier is equivalent to 10%?

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    0.1

  3. To convert a percentage to a multiplier, divide by ?.

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    100

  4. What multiplier is used to calculate a 15% increase?

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    1.15

  5. What multiplier is used to calculate a 30% decrease?

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    0.7

  6. To increase a number by x%, multiply by ?.

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    1 + x/100

  7. To decrease a number by x%, multiply by ?.

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    1 - x/100

  8. What multiplier is used to calculate 9% of an amount?

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    0.09

  9. What multiplier is equivalent to 175%?

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    1.75

  10. If you multiply a number by 0.86, what percentage decrease does this represent?

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    14% (because 1 - 0.86 = 0.14)

  11. What calculation gives 64% of 190?

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    190 × 0.64

  12. Why can't you simply add percentage changes (e.g., −2% then +10% ≠ +8%) when calculating overall percentage change?

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    Each percentage change is applied to a different base value. The second change acts on the already-modified price, not the original.

  13. To decrease a quantity by 2%, multiply by ?.

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    0.98

  14. To increase a quantity by 10%, multiply by ?.

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    1.10

  15. How do you find the overall effect of two successive percentage changes?

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    Multiply the individual multipliers together. For example, a 2% decrease then a 10% increase: 0.98 × 1.10 = 1.078.

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