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Question 61

A network routing protocol generates a priority index $S$ for a data stream of size $\in \mathbb{N}$ based on the formula

S = k^2 + 12k + 13

Use the method of proof by contradiction to show that if the priority index $S$ is even, then the data stream size $k$ must be odd.

[4]

Markscheme

1.1 Proof Questions

A Level
Maths
1.1 Proof

132 exam-style questions on OCR (MEI) A Level Maths 1.1 Proof, covering 1.1.1 Structure of mathematical proof, 1.1.2 Disproof by counter example, 1.1.3 Proof by contradiction (A-level only), and 1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.

1.1 Proof

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1.1 Proof

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Question 61

A network routing protocol generates a priority index $S$ for a data stream of size $\in \mathbb{N}$ based on the formula

S = k^2 + 12k + 13

Use the method of proof by contradiction to show that if the priority index $S$ is even, then the data stream size $k$ must be odd.

[4]

Markscheme

1.1 Proof Questions

A Level
Maths
1.1 Proof