Quiz: Proof by Contradiction — The Core Idea
Edexcel 9MA0 A-Level Mathematics
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Welcome! You've already learned how to structure proofs and test statements with examples and counterexamples. Now, let's explore Proof by Contradiction and test your understanding!
What is the first step in a proof by contradiction?
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Which of the following are key elements of a proof by contradiction? (Select all that apply)
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In proof by contradiction, you assume the {{blank0}} of the statement and show that this leads to a {{blank1}}.
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Match the items on the left with their correct pairs on the right
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Prove by contradiction: If n is an odd integer, then n + 1 is even. Assume the opposite: n + 1 is odd. What is the remainder when n is divided by 2?
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Why does a proof by contradiction work?
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Match the items on the left with their correct pairs on the right
What happens if no contradiction is found in a proof by contradiction?
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A proof by contradiction always ends when a {{blank0}} is reached, showing the {{blank1}} of the original assumption.
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