Proof (AQA GCSE Maths): Quizzes

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Proof
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10 questions from this quiz

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How can any even number be represented algebraically?

2n2n where nn is an integer

Which algebraic expression represents any odd number?

2n+12n + 1

How are three consecutive numbers represented algebraically?

nn, n+1n + 1, n+2n + 2

What is always true about the sum of two integers?

It is always another integer

What form does the sum of three odd numbers simplify to?

2n+12n + 1, which is odd

How many counterexamples are needed to disprove a statement?

Only one

In the worked example, which values disprove 'If x>yx > y, then x2>y2x^2 > y^2'?

x=1x = -1, y=2y = -2

What does the identity symbol \equiv indicate?

True for all values of variables

How do equations differ from identities?

Equations are only true for specific values

What is the first step when approaching a proof question?

Clearly identify what you need to prove

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