2021HSCShort answer

Q12 (b) (ii)

1 mark

Question

Show that the converse of Statement A is true.

Try the question before revealing the answer.

Solution

Criteria	Marks
Provides correct proof	1

Sample answer: If $n$ is even then $n=2k$ for some integer $k$ , then $n^2=(2k)^2=2(2k^2)$ which is also even.

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Proof

The Nature of ProofUse formal proof language, contradiction, counter-examples and rigorous arguments involving numbers and inequalities.

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