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ScotlandMathsQuick questions

Geometry, Proof and Systems of Equations

Quick questions on Number theory and methods of proof: direct, contradiction, contrapositive and the Euclidean algorithm - SQA Advanced Higher Maths

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is a counterexample with no working?
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State the value and show it fails the claim; an unjustified number earns nothing.
What is q1?
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Disprove: n2+n+41n^2 + n + 41 is prime for every positive integer nn. [2 marks]
What is q2?
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Find gcd(35,14)\gcd(35, 14) by the Euclidean algorithm. [2 marks]

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