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1.1 Proof by Contradiction

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Question 55

A digital signal processor generates a sequence of values based on prime numbers. Prove that for all prime numbers, $p$ , such that $\le p \le 13$ ,

p^2 - 1 \text{ is a multiple of } 24

[3]

ii.

Use proof by contradiction to show that for any positive integer $n$ ,

n^2 + 2 \text{ is not a multiple of } 4

[4]

Markscheme

1.1 Proof by Contradiction Questions

A Level
Maths
1.1 Proof by Contradiction

107 exam-style questions on Edexcel A Level Maths 1.1 Proof by Contradiction. Each one has a worked solution and a mark scheme showing where the marks go.

1.1 Proof by Contradiction

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1.1 Proof by Contradiction

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Question 55

A digital signal processor generates a sequence of values based on prime numbers. Prove that for all prime numbers, $p$ , such that $\le p \le 13$ ,

p^2 - 1 \text{ is a multiple of } 24

[3]

ii.

Use proof by contradiction to show that for any positive integer $n$ ,

n^2 + 2 \text{ is not a multiple of } 4

[4]

Markscheme

1.1 Proof by Contradiction Questions

A Level
Maths
1.1 Proof by Contradiction

107 exam-style questions on Edexcel A Level Maths 1.1 Proof by Contradiction. Each one has a worked solution and a mark scheme showing where the marks go.