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Question 76
a.

Let the two consecutive even numbers be 2n 2n\,2n and 2n+22n+22n+2. Write down the sum of their squares.

[1]
b.

Prove algebraically that the sum of the squares of any 2 consecutive even numbers is always 4 more than a multiple of 8.

[2]
Markscheme

Proof Questions

  1. GCSE
  2. /Maths
  3. /Proof

207 exam-style questions on OCR GCSE Maths Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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