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
- Write an even number using the integer \(n\).Even numbers are multiples of 2.
- Write an odd number using \(n\).One more or less than an even number.
- Write three consecutive integers with middle value \(n\).Consecutive integers differ by 1.
- How many counter-examples are needed to disprove a statement?One failing case is enough.
- What is \((n+1)^2-(n-1)^2\)?\(n^2+2n+1-n^2+2n-1=4n\).
- Is the sum of two odd numbers odd or even?\((2a+1)+(2b+1)=2(a+b+1)\).
- Name the proof method that checks every possible case.Finite cases, all checked.
- What does \(\therefore\) mean?Used in logical steps.
- Is 91 prime?\(91=7\times13\).
- Is the statement "\(n^2>n\) for all integers \(n\)" true or false?\(n=1\) gives \(1>1\), which is 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.


















