Question 1 - A-Level Maths

AQA Paper 2 2018 June — Question 1 1 marks

Exam Board	AQA
Module	Paper 2 (Paper 2)
Year	2018
Session	June
Marks	1
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Proof
Type	Logical statements and converses
Difficulty	Easy -2.5 This is a trivial 1-mark multiple choice question testing basic understanding of logical implication symbols and the fact that x²=4 has two solutions (±2). Only the first statement is correct since squaring preserves the implication but not the reverse. Requires minimal mathematical reasoning.
Spec	1.01b Logical connectives: congruence, if-then, if and only if

Which of these statements is correct? Tick one box. [1 mark] \(x = 2 \Rightarrow x^2 = 4\) \(x^2 = 4 \Rightarrow x = 2\) \(x^2 = 4 \Leftrightarrow x = 2\) \(x^2 = 4 \Rightarrow x = -2\)

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Question 1:

Answer	Marks	Guidance
1	Ticks correct option	AO2.5
Total	1
Q	Marking Instructions	AO

Question 1:
1 | Ticks correct option | AO2.5 | B1 | x2 x2 4
Total | 1
Q | Marking Instructions | AO | Marks | Typical Solution

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Which of these statements is correct?

Tick one box.
[1 mark]

$x = 2 \Rightarrow x^2 = 4$

$x^2 = 4 \Rightarrow x = 2$

$x^2 = 4 \Leftrightarrow x = 2$

$x^2 = 4 \Rightarrow x = -2$

\hfill \mbox{\textit{AQA Paper 2 2018 Q1 [1]}}

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Q1 1 Q2 1 Q3 1 Q4 6 Q5 2 Q6 7 Q7 8 Q8 10 Q9 14 Q10 1 Q11 1 Q12 5 Q13 8 Q14 6 Q15 9 Q16 6 Q17 14