Practice Conditional Statement in Math

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

Quick Recap

A conditional P \to Q is a statement meaning "if P is true, then Q must be true," read as "if P then Q."

A promise or rule: if the condition holds, the consequence follows.

Example 1

easy
Write the converse, inverse, and contrapositive of: 'If a number is divisible by 6, then it is divisible by 3.'

Example 2

medium
Determine the truth value of: 'If 2 > 5, then 10 > 3.'

Example 3

easy
Identify the hypothesis and conclusion in: 'If it rains, then the ground is wet.'

Example 4

medium
Identify the hypothesis and the conclusion in the statement: 'If a number is divisible by 4, then it is even.'