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1.1 Proof

1.1 Proof

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Question 99
a.

Prove that x2+4x>2x−4x^2 + 4x > 2x - 4x2+4x>2x−4 for all real values of xxx.

[3]
b.

A student claims: "If I add 2 to a number and then square the sum, the result is always greater than the square of the original number." State, giving a reason, whether this claim is always true, sometimes true or never true.

[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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