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Proof – Year 12 A level maths quiz to download as PDF

Year 12 proof quiz – Otto the owl, Maths PDF
A Level Maths Year 12 – Tests with Answers – PDF
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This Year 12 proof quiz has 10 short questions for pupils aged 16-17. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 12 proof quiz: the 10 questions

  1. Write an even number using the integer \(n\).
  2. Write an odd number using \(n\).
  3. Write three consecutive integers with middle value \(n\).
  4. How many counter-examples are needed to disprove a statement?
  5. What is \((n+1)^2-(n-1)^2\)?
  6. Is the sum of two odd numbers odd or even?
  7. Name the proof method that checks every possible case.
  8. What does \(\therefore\) mean?
  9. Is 91 prime?
  10. Is the statement "\(n^2>n\) for all integers \(n\)" true or false?

How to use this Year 12 proof quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the proof lesson and try again later. After that, try the multiple choice questions or the proof worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.