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1.1 Proof

1.1 Proof

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Question 84
i.

Use proof by contradiction to show that for all x∈Rx \in \mathbb{R}x∈R

x4+100≥20x2 x^4 + 100 \ge 20x^2 x4+100≥20x2
[3]
ii.

Show that the following statement is not true.

"The sum of three consecutive even integers is always a multiple of 12."

[2]
Markscheme

1.1 Proof Questions

  1. A Level
  2. /Maths
  3. /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.

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