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

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks

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The question, in short

Using five discs numbered 4, 1, 2, 8, 3, arrange all of them to form numbers, identify factors of 21 and prime numbers among the disc values.

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

Part (a) · 1 mark

Arrange all five discs to form the smallest possible number.

  1. 1Arrange the digits 4, 1, 2, 8, 3 in ascending order: 1, 2, 3, 4, 8
  2. 2Form the number using smallest digit first: 12 348

Answer12 348

Part (b) · 1 mark

Arrange all five discs to form the largest even number.

  1. 1An even number must end in an even digit: 2, 4 or 8
  2. 2Ending in 2 leaves 8, 4, 3, 1 for the front, biggest first: 84312
  3. 3Ending in 4 or 8 gives smaller numbers (83214, 43218), so the answer is 84 312

Answer84 312

Part (c) · 2 marks

From the disc numbers 4, 1, 2, 8, 3, state which are factors of 21.

  1. 1List the numbers on the discs: 4, 1, 2, 8, 3
  2. 2Check which of these are factors of 21
  3. 3Factors of 21 are: 1, 3, 7, 21
  4. 4From the discs, 1 and 3 are in this list
  5. 5So the factors of 21 are 1 and 3

Answer1,3

Part (d) · 2 marks

From the disc numbers 4, 1, 2, 8, 3, state which are prime numbers.

  1. 1A prime number has exactly two factors: 1 and itself
  2. 21 has only one factor; 4 and 8 have more than two
  3. 32 and 3 each have exactly two factors, so the primes are 2,3

Answer2,3

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