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4MA1/1FR Jan 2022, Question 6: Multiplication and Division of Fractions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 8 marks

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The question, in short

Order five decimals smallest first, convert 0.7 to a fraction, express 30 out of 48 as a simplified fraction, change 23% to a decimal, and find Rita's original bead count from her remaining 3 beads.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Arrange 0.47, 0.4, 0.74, 0.477 and 0.407 in increasing order, starting with the smallest.

  1. 1Write each with 3 decimal places: 0.470, 0.400, 0.740, 0.477, 0.407
  2. 2Smallest first: 0.4, 0.407, 0.47, 0.477, 0.74

Answer0.4, 0.407, 0.47, 0.477, 0.74

Part (b) · 1 mark

Express the decimal 0.7 as a fraction.

  1. 10.7 = 7 ÷ 10
  2. 27/10

Answer7/10

Part (c) · 2 marks

Write 30 as a fraction of 48 and simplify it fully.

  1. 130/48
  2. 2Divide numerator and denominator by 6
  3. 330 ÷ 6 = 5
  4. 448 ÷ 6 = 8
  5. 55/8

Answer5/8

Part (d) · 1 mark

Convert 23% into decimal form.

  1. 123% = 23 ÷ 100
  2. 20.23

Answer0.23

Part (e) · 3 marks

Rita gives 1/2 of her beads to Sheng and 2/5 to Tusco, leaving 3; work out the original number of beads.

  1. 1Fraction given away = 1/2 + 2/5 = 5/10 + 4/10 = 9/10
  2. 2Fraction left = 1 − 9/10 = 1/10
  3. 31/10 of the beads is 3, so she had 3 × 10 = 30

Answer30

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