AQA · Mathematics · 8300

GCSE Maths: Percentages: expressing as

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Percentages: expressing as (Corbettmaths Video 237), 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 is the formula for expressing one quantity as a percentage of another?

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    (Part ÷ Whole) × 100

  2. What is 27 as a percentage of 50?

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    54%

  3. What is 3 as a percentage of 8?

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    37.5%

  4. When converting quantities with different units to percentages, what must you do first?

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    Convert both quantities to the same unit before calculating the percentage.

  5. What is 20p as a percentage of £1?

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    20%

  6. If Danny scored 13 out of 20 in a quiz, what percentage did he answer correctly?

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    65%

  7. If Jake sells 350 out of 400 cupcakes, what percentage has he sold?

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    87.5%

  8. What is 29 as a percentage of 50?

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    58%

  9. What is 6 out of 8 as a percentage?

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    75%

  10. What is 126 as a percentage of 360?

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    35%

  11. When calculating percentages to a specified number of decimal places, what must you remember to do?

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    Round your final answer to the requested number of decimal places.

  12. How do you calculate a decrease as a percentage of the original price?

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    Divide the decrease by the original price, then multiply by 100.

  13. What is 150 as a percentage of 60?

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    250% (calculated as 150 ÷ 60 × 100)

  14. A team wins 11/20 of matches and draws 1/4 of matches. What percentage of matches do they lose?

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    20% (wins = 55%, draws = 25%, so losses = 100% - 55% - 25% = 20%)

  15. A country has population 2.85 × 10⁶ and 1.24 × 10⁵ people own rabbits. What percentage of the population own rabbits?

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    Approximately 4.35% (calculated as (1.24 × 10⁵) ÷ (2.85 × 10⁶) × 100)

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