UniGeniusGCSE Maths · Edexcel 1MA1

Worksheets · Foundation

Foundation ratio and percentage problems

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

  1. Question 1Calculator · 4 marks

    Ana and Ben share £84 in the ratio 2:52 : 5.

    (a) Work out Ben's share. (2)

    (b) Ben spends some of his share and saves the rest. He then increases his savings of £40 by 15%15\%. Work out his new savings. (2)

  2. Question 2Non-calculator · 5 marks

    A cyclist travels 12.75 km in 45 minutes at constant speed.

    (a) Find the speed in km/h. (3)

    (b) At the same speed, find the distance travelled in 1 hour 20 minutes. (2)

  3. Question 3Calculator · 4 marks

    (a) A charity divides its £960 budget between transport and equipment in the ratio 3 : 5. Transport costs increase by 20%, while equipment costs stay the same. What percentage increase in the total budget is needed? You must show your working. (4)

Answers and marks

Question 1

(a) £60

  • M1 Finding one part: 84÷7=1284 \div 7 = 12.
  • A1 The correct answer, £60.

(b) £46

  • M1 Writing 40×1.1540 \times 1.15 (or finding 15%15\% of 40, which is 6).
  • A1 The correct answer, £46.

Question 2

(a) 1717 km/h

  • P1 Convert 45 minutes to three quarters of an hour.
  • P1 Divide distance by time in hours.
  • A1 Correct answer: 1717 km/h

(b) 22.722.7 km

  • M1 Convert 80 minutes to hours before multiplying by speed.
  • A1 Correct answer: 22.722.7 km

Question 3

(a) 7.57.5%

  • P1 Establishing 960×3/8960\times 3/8 or an equivalent valid method.
  • P1 Establishing 360×0.2360\times 0.2 or an equivalent valid method.
  • P1 Establishing 72/960×10072/960\times 100 or an equivalent valid method.
  • A1 Correct answer: 7.57.5%

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Foundation ratio and percentage problems

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