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4MA1/2F Jan 2023, Question 1: Integers

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

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The question, in short

Using the four digit cards 5, 7, 6 and 3, form numbers meeting different conditions: smallest number, largest even number, a two-card prime, and a two-card multiple of 8.

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

Part (a) · 1 mark

Arrange all four cards to form the smallest possible number.

  1. 1Arrange the digits 3, 5, 6, 7 in ascending order: 3, then 5, then 6, then 7.
  2. 23567

Answer3567

Part (b) · 1 mark

Arrange all four cards to form the largest possible even number.

  1. 1To make the largest even number, the last digit must be the largest possible even digit available: 6.
  2. 2Use remaining digits 7, 5, 3 to form the largest possible number before it: 7, 5, 3.
  3. 37536

Answer7536

Part (c) · 1 mark

Choose two of the cards and arrange them to form a prime number.

  1. 1Check two-digit combinations for primality.
  2. 237 is prime.
  3. 353 is prime.
  4. 473 is prime.
  5. 567 is prime.
  6. 637 or 53 or 73 or 67

Answer37 or 53 or 73 or 67

Part (d) · 1 mark

Choose two of the cards and arrange them to form a multiple of 8.

  1. 1Check two-digit combinations that are multiples of 8.
  2. 256 ÷ 8 = 7, so 56 is a multiple of 8.
  3. 356

Answer56

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