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AQA A-LEVEL MATHEMATICS- PROOF QUESTIONS WITH COMPLETE SOLUTIONS 2025.

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AQA A-LEVEL MATHEMATICS- PROOF QUESTIONS WITH COMPLETE SOLUTIONS 2025.

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April 22, 2025
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Written in
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  • aqa a level mathematics proof questions with comp

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AQA A-LEVEL MATHEMATICS- PROOF
QUESTIONS WITH COMPLETE
SOLUTIONS 2025

What 7does 7≡ 7mean? 7- 7ANSWER: 7that 7it 7is 7correct 7for 7all 7values 7of 7all 7variables

what 7does 7P 7=> 7Q 7mean? 7- 7ANSWER: 7P 7implies 7Q 7if 7P 7is 7true 7so 7is 7Q

what 7denotes 7an 7even 7number? 7- 7ANSWER: 72n

what 7denotes 7an 7odd 7number? 7- 7ANSWER: 72n+1

what 7does 7intersection 7mean? 7- 7ANSWER: 7A 7and 7B 7the 7solution 7is 7in 7both

What 7does 7union 7mean? 7- 7ANSWER: 7A 7u 7B 7means 7the 7solution 7is 7in 7both 7A 7or
7B


How 7do 7you 7answer 7a 7proof 7by 7deduction 7question? 7- 7ANSWER: 7-Define
7variables 7
-Show 7a 7product 7for 7example
-Link 7to 7original 7statement 7
-Make 7a 7conclusion

How 7do 7we 7show 7something 7is 7a 7factor 7of 72? 7- 7ANSWER: 7write 7as 72k 7where 7k
7is 7anything


How 7to 7answer 7a 7proof 7by 7exhaustion 7question? 7- 7ANSWER: 7substitute 7in 7every
7number 7in 7the 7range 7applicable 7
then 7conclude 7if 7it 7is 7true 7or 7false

How 7to 7answer 7a 7disproof 7by 7counter 7example? 7- 7ANSWER: 7-systematically
7check 7numbers 7e.g. 7odd 7even 7prime
-statement 7and 7conclusion 7at 7the 7end

How 7to 7answer 7a 7proof 7by 7contradiction? 7- 7ANSWER: 7assume 7opposite 7of 7the
7statement 7is 7true 7and 7then 7disprove 7that 7statement 7
conclude 7after 7evidence 7found
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