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4MA1/2FR Jan 2020, Question 1: Understanding Decimal Place Value

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

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The question, in short

Answer five short number questions: write a large number in figures, give a common factor, a square number in a range, a cube root, and add brackets to make a calculation correct.

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

Part (a) · 1 mark

Write seventy thousand, two hundred and sixteen using digits.

  1. 1Seventy thousand is 70,000
  2. 2Two hundred is 200
  3. 3Sixteen is 16
  4. 470,000 + 200 + 16 = 70216

Answer70216

Part (b) · 1 mark

State a common factor of 20 and 30.

  1. 1Factors of 20: 1, 2, 4, 5, 10, 20
  2. 2Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  3. 3Common factors are 1, 2, 5, 10
  4. 4Choose one: 10

Answer10

Part (c) · 1 mark

Give a square number lying between 20 and 40.

  1. 1Square numbers: 1, 4, 9, 16, 25, 36, 49...
  2. 2Between 20 and 40: 25 and 36
  3. 3Choose one: 25

Answer25

Part (d) · 1 mark

Find the cube root of 3375.

  1. 1Try 10³ = 1000
  2. 2Try 15³ = 15 × 15 = 225, then 225 × 15
  3. 3225 × 15 = 225 × 10 + 225 × 5 = 2250 + 1125 = 3375
  4. 4So ∛3375 = 15

Answer15

Part (e) · 1 mark

Insert brackets into 42 − 6 ÷ 6 − 3 so the result equals 40.

  1. 1Target answer is 40
  2. 2Compute step by step with brackets: try (6 − 3) first
  3. 36 − 3 = 3
  4. 4Then 6 ÷ 3 = 2
  5. 5Then 42 − 2 = 40
  6. 6So brackets must be around (6 − 3), giving 42 − 6 ÷ (6 − 3)

Answer42 − 6 ÷ (6 − 3)

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