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4 marksReasoning and Logic

CAPE Pure Mathematics Unit 1 · May/June 2018 · Paper 2 · Question 1(a)(i)

This section contains questions on Module 1.

Let p and q be any two propositions. Complete the truth table below.

This question uses a figure or table from the paper — you'll see it when you practise.

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Other parts of this question

  1. 1(a)(ii)Hence, state whether the statements ~(p ∨ q) and ~p ∧ ~q are logically equivalent. Justify your response.[1 mark]
  2. 1(b)(i)Calculate 5 ⊗ 2.[1 mark]
  3. 1(b)(ii)Prove that ⊗ is closed in R.[3 marks]
  4. 1(b)(iii)Determine whether ⊗ is commutative.[3 marks]
  5. 1(c)Calculate the values of a, b and c.[7 marks]
  6. 1(d)Solve the logarithmic equation log₄(2x + 2) - log₄(x + 1) = 1.[6 marks]

More practice: the rest of this paper · more Reasoning and Logic questions · all CAPE Pure Mathematics Unit 1 past papers