Worksheets · Foundation and Higher

Sharing quantities and equivalent ratios

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) Kim and Leo share £40 in the ratio 3:53 : 5. Work out how much Kim gets. (2)

    (b) 33 pens cost £1.80. Work out the cost of 55 of these pens. (2)

  2. Question 2Non-calculator · 3 marks

    (a) A drink contains concentrate and water in the ratio 2 : 7. There are 450 ml of drink. How much more water must be added to make the ratio 1 : 5? (3)

  3. Question 3Non-calculator · 3 marks

    (a) A box contains only red and blue counters in the ratio 3 : 7. After 12 red counters are removed, the ratio is 1 : 3. Work out the original total number of counters. You must show your working. (3)

Answers and marks

Question 1

(a) £15

  • M1 Finding one part: 40÷8=540 \div 8 = 5.
  • A1 The correct answer, £15.

(b) £3.00

  • M1 Finding the cost of one pen, 60p.
  • A1 £3.00 (or 300p).

Question 2

(a) 150150 ml

  • P1 Establishing 450×2/9450\times 2/9 or an equivalent valid method.
  • P1 Establishing 100×5−350100\times 5-350 or an equivalent valid method.
  • A1 Correct answer: 150150 ml

Question 3

(a) 180180

  • P1 Establishing 3(3k−12)=7k3(3k-12)=7k or an equivalent valid method.
  • P1 Establishing 2k=362k=36 or an equivalent valid method.
  • A1 Correct answer: 180180

Get your working marked

Sharing quantities and equivalent ratios

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Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.

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