Practice Contrapositive in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The contrapositive of a conditional statement P \Rightarrow Q is \neg Q \Rightarrow \neg P, formed by negating both parts and reversing their order — it is always logically equivalent to the original.

Flip and negate. Always has the same truth value as the original.

Example 1

easy
Form the contrapositive of: 'If n^2 is even, then n is even.'

Example 2

medium
Prove by contrapositive: 'If n^2 is odd, then n is odd.'

Example 3

easy
Write the contrapositive of: 'If a triangle is equilateral, then all its angles are 60°.'

Example 4

medium
Write the contrapositive of: 'If n^2 is even, then n is even.'
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