Quiz

Quiz: Disproof by Counterexample

Edexcel 9MA0 A-Level Mathematics

10 Steps8 Questions

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Building on what you've learned about mathematical proofs, let's test your knowledge of disproof by counterexample!

Multiple ChoiceInteractive

What is the purpose of disproof by counterexample?

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Multi-SelectInteractive

Which of the following statements can be disproved by counterexample? (Select all that apply)

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Fill in the BlankInteractive

A {{blank0}} is enough to disprove a universal statement.

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MatchingInteractive

Match the items on the left with their correct pairs on the right

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Math EquationInteractive

Disprove the statement: 'For all integers n, n² ≥ n'. Provide an integer n where this does not hold.

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Multiple ChoiceInteractive

Which of the following is a valid counterexample to disprove 'All integers are divisible by 3'?

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typedAnswer

Match the items on the left with their correct pairs on the right

Multi-SelectInteractive

Which statements can be disproved by counterexamples? (Select all that apply)

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Multiple ChoiceInteractive

Which statement is false based on the counterexample: 'The square of -2 is positive'?

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