UniGeniusGCSE Maths · Edexcel 1MA1

Worksheets · Foundation and Higher

Percentages, changes and multipliers

3 exam-style questions. Answers and the mark for each step are on the last page.

  1. Question 1Non-calculator · 4 marks

    Answer each part without a calculator.

    (a) Write 1818 as a percentage of 7272. (2)

    (b) Work out 35%35\% of 240240. (2)

  2. Question 2Calculator · 2 marks

    (a) The mass of a parcel decreases from 2.4 kg to 2.04 kg when some packaging is removed. Work out the percentage decrease. (2)

  3. Question 3Non-calculator · 3 marks

    (a) A machine loses 20% of its value in one year and 10% of its new value in the next year. Work out the overall percentage decrease. (3)

Answers and marks

Question 1

(a) 25%25\%

  • M1 Writing 1872\frac{18}{72}.
  • A1 The correct answer, 25%25\%.

(b) 8484

  • M1 A correct build-up, such as 30%=7230\% = 72 and 5%=125\% = 12.
  • A1 The correct answer, 8484.

Question 2

(a) 1515%

  • P1 Establishing (2.4−2.04)/2.4×100(2.4-2.04)/2.4\times 100 or an equivalent valid method.
  • A1 Correct answer: 1515%

Question 3

(a) 2828%

  • P1 Establishing 0.8×0.90.8\times 0.9 or an equivalent valid method.
  • P1 Establishing 100×(1−0.72)100\times (1-0.72) or an equivalent valid method.
  • A1 Correct answer: 2828%

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Percentages, changes and multipliers

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