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

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

From the list 8, 9, 17, 35, 48, 80, select numbers meeting five given conditions: a factor of 40, a multiple of 7, a prime, a square, and a pair differing by 31.

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

Part (a) · 1 mark

Choose from the list a number that divides 40 exactly.

  1. 1Identify numbers that divide 40 exactly: 1, 2, 4, 5, 8, 10, 20, 40
  2. 2From the box, 8 is a factor of 40

Answer8

Part (b) · 1 mark

Choose from the list a number that is a multiple of 7.

  1. 1Check which number in the box is divisible by 7: 35 ÷ 7 = 5
  2. 235 is a multiple of 7

Answer35

Part (c) · 1 mark

Choose from the list a number that is prime.

  1. 1Check for prime numbers in the box: numbers divisible only by 1 and themselves
  2. 217 has no divisors other than 1 and 17
  3. 317 is prime

Answer17

Part (d) · 1 mark

Choose from the list a number that is a perfect square.

  1. 1Check for perfect squares in the box: 1, 4, 9, 16, 25, 36, ...
  2. 29 = 3²
  3. 39 is a square number

Answer9

Part (e) · 1 mark

Identify the two listed numbers whose difference is 31.

  1. 1Check pairs of numbers in the box with a difference of 31
  2. 248 − 17 = 31
  3. 317 and 48 have a difference of 31

Answer17, 48

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