HSC Maths Extension 2 Section I

Section I is objective-response questions worth 10 marks, on the whole Year 12 course. It opens the 100-mark paper, which allows 3 hours plus 10 minutes reading time.

The paper	One written paper, 100 marks, 3 hours plus 10 minutes reading time
Section I	Objective-response questions worth 10 marks
Section II	90 marks in 37 to 42 items; at least two items worth 4 or 5 marks
Provided	A reference sheet; NESA-approved calculators may be used

About 18 minutes for 10 marks

Three hours for 100 marks is 1.8 minutes a mark, so Section I is worth about 18 minutes. Spend them, then move on: Section II holds the other 90 marks.

Work it out before you read the options

Solve the question first, then find your answer among the options: the wrong options are the answers common slips give.
Check the principal argument is in the interval from minus pi (not included) to pi.
For a statement about proof, test the converse and the contrapositive separately: only the contrapositive is equivalent.

Try 3 questions

Section I · 1 mark · Complex numbers: arithmetic and polar form
Let $z = 5 - 12 i$ . What is $\mathrm{Im}\left(\dfrac{1}{z}\right)$ ?
Answer it, every step marked
Section I · 1 mark · Complex numbers: arithmetic and polar form
What are the two square roots of $-5 + 12 i$ ?
Answer it, every step marked
Section I · 1 mark · Complex numbers: arithmetic and polar form
The point $P$ on the complex plane in the figure represents $z = -2 - 2 \sqrt{3} i$ . What is the principal argument of $z$ ?
Answer it, every step marked

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Questions people ask

How many marks is Section I?

10 marks of objective-response questions, out of the paper's 100.

Can I use a calculator?

Yes. NESA-approved calculators may be used, and a reference sheet is provided.