[discia] GCSE Maths › Ratio and Proportion › Percentages

Percentages

discia.org 10 questions · 25 marks
Name Date
  1. Non-calculator 3 marks

    Work these out without using a calculator.

    (a)

    Work out 10% of £500.

    (b)

    Work out 55% of £500.

    Show answer
    (a) \(\text{£}50\)
    (b) \(\text{£}275\)
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  2. Either paper 1 mark
    The table shows the number of emails a company received each month.
    OctoberNovember
    350259
    Write down the percentage decrease from October to November.
    Show answer
    \(26\ \%\)
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  3. Either paper 3 marks

    There are 1000 spaces in a car park.

    (a)

    80% of the spaces are being used.

    Work out how many spaces are being used.

    (b)

    Work out how many spaces are not being used.

    Show answer
    (a) \(800\)
    (b) \(200\)
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  4. Either paper 3 marks

    Owen is paid £2900 a month.

    He is given a pay rise of 8%.

    Work out his new monthly pay.

    Show answer
    \(\text{£}3132\)
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  5. Either paper 3 marks

    The normal price of a sofa is £420.

    In a sale the price is reduced by 20%.

    Find the sale price of the sofa.

    Show answer
    \(\text{£}336\)
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  6. Either paper 4 marks
    (a)

    Joel scored 38 out of 50 in a French test.

    Work out his French score as a percentage.

    (b)

    In a History test Joel scored 18 out of 40.

    In which test did Joel do better?

    You must show your working.

    Show answer
    (a) \(76\%\)
    (b) French
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  7. Either paper 2 marks

    In a test, Omar needs to score at least 60% of the 60 marks to pass.

    He scores 33 marks.

    Show that Omar does not pass the test.

    Show answer
    Pass mark = 36 marks. 33 is less than 36, so Omar does not pass the test.
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  8. Either paper 3 marks

    Here is a large rectangle with a smaller rectangle cut out of it. The shaded part is what is left.

    16 cm12 cm8 cm9 cm

    Work out the percentage of the large rectangle that is shaded.

    Show answer
    \(62.5\%\)
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  9. Either paper 2 marks
    Omar and Grace each bought a tent and a sleeping bag. The table shows how much they paid.
    TentSleeping bag
    Omar£145£53
    Grace15% less than Omar35% more than Omar
    Grace says, “In total, I paid more than Omar.” Is Grace correct? Tick a box. Yes / No You must show calculations to support your answer.
    Show answer
    No: Grace paid \(£194.80\) in total, compared with \(£198.00\) for Omar
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  10. Either paper 1 mark

    The number of people subscribed to a channel increases from 40,000 to 80,000.

    The channel's owner says, "My subscribers have increased by 100%, because 80,000 is 40,000 times 2."

    Are they correct? Tick a box.

    ☐ Yes ☐ No

    Give a reason for your answer.

    Show answer
    Yes — the increase is 40,000, which is 100% of 40,000, so the claim of 100% is correct
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discia.org Percentages · sheet 1
Answers Percentages · sheet 1
  1. (a) \(\text{£}50\)
    (b) \(\text{£}275\)
  2. \(26\ \%\)
  3. (a) \(800\)
    (b) \(200\)
  4. \(\text{£}3132\)
  5. \(\text{£}336\)
  6. (a) \(76\%\)
    (b) French
  7. Pass mark = 36 marks. 33 is less than 36, so Omar does not pass the test.
  8. \(62.5\%\)
  9. No: Grace paid \(£194.80\) in total, compared with \(£198.00\) for Omar
  10. Yes — the increase is 40,000, which is 100% of 40,000, so the claim of 100% is correct
discia.org Percentages · sheet 1