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4MA1/2F Jan 2021, Question 1: Factors and Multiples

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

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The question, in short

From the list 6, 8, 17, 36, 44, 76, 91, select numbers meeting five different conditions.

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

Part (a) · 1 mark

Pick the number from the list that is a multiple of 11.

  1. 1Check multiples of 11: 11, 22, 33, 44, 55, ...
  2. 244 is in the list

Answer44

Part (b) · 1 mark

Pick the number from the list that is a factor of 30.

  1. 1Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  2. 26 is in the list

Answer6

Part (c) · 1 mark

Pick the number from the list that is a square number.

  1. 1Square numbers near the list: 1, 4, 9, 16, 25, 36, 49, ...
  2. 236 is in the list and 6² = 36

Answer36

Part (d) · 1 mark

Pick the number from the list that is prime.

  1. 1Check which numbers in the list have only two factors: 1 and itself
  2. 217 is divisible only by 1 and 17

Answer17

Part (e) · 1 mark

Pick two numbers from the list that add up to 84.

  1. 1Try pairs from the list that add to 84
  2. 28 + 76 = 84
  3. 3Both 8 and 76 are in the list

Answer8, 76

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