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4MA1/2F Jun 2021, Question 14: Calculating a Percentage of a Quantity

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Calculate a percentage of 450, insert brackets to make an equation true, and evaluate a square root divided by a difference, giving the full calculator display.

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

Part (a) · 2 marks

Find 39% of 450.

  1. 139% = 0.39
  2. 239% of 450 = 0.39 × 450
  3. 30.39 × 450 = 175.5

Answer175.5

Part (b) · 1 mark

Add one pair of brackets to 9 × 8 − 5 − 2 so the result equals 25.

  1. 1Put the brackets round 8 − 5 so that subtraction is done first
  2. 28 − 5 = 3
  3. 39 × 3 = 27
  4. 427 − 2 = 25, which is the required answer
  5. 5So the calculation is 9 × (8 − 5) − 2 = 25

Answer9 × (8 − 5) − 2 = 25

Part (c) · 2 marks

Evaluate √8.9 ÷ (6.2 − 3.5) as a decimal, writing every digit shown on the calculator.

  1. 1Work out the denominator first: 6.2 − 3.5 = 2.7
  2. 2√8.9 = 2.983286778...
  3. 32.983286778... ÷ 2.7 = 1.104921029

Answer1.104921029

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