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PSP.3.2

Use counterexample to disprove a statement

Understand use of counterexample to disprove a statement

3 hand-picked video lessons for this topic, each checked for relevance and clarity, graded by difficulty and labelled by depth. Press play to watch — nothing loads from YouTube until you do.

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Grade 5–9 Core 🇬🇧 UK

GCSE Maths - How to Disprove a Statement by Counter Example - Proof Part 1 (2026/27 exams)

Cognito 50K views

Clear GCSE walkthrough showing how a single counterexample disproves a general statement, with three worked examples.

Jump to 0:00Intro & What is a Counter Example?0:36Example 1: All Prime Numbers are Odd 1:24Example 2: Difference Between Primes is Always Even 3:35Example 3: Last Digit of Square Numbers

Grade 6–9 Core 🇬🇧 UK

A-Level Maths: A1-08 [Introducing Disproof by Counter Example]

TLMaths 75K views

Concise UK introduction to disproving a claim by finding one counterexample.

Grade 6–9 Core 🇬🇧 UK

Disproof by Counter Example

Maths Genie 27K views

Trusted Maths Genie tutorial on disproving a statement by counterexample.