HSC Maths Extension 1 free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper HSC Maths Extension 1 set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
f(x) = 3x + 5 and g(x) = x² - 4. The value of f(g(4)) is
A 204
B 41
C 29
D 285
Correct answer: B — 41
- g(4) = 4² - 4 = 12.
- f(12) = 3(12) + 5 = 41.
- Why the other options are wrong:
- A (204): Composition is not multiplication.
- C (29): Composition is not addition.
- D (285): f(g(x)) means apply g first, then f. f(g(x)): evaluate the inside function first.
Your sample is downloading. Liked it? HSC Maths Extension 1 Paper 1 is the full paper: a full practice examination with Section I 10 multiple-choice, Section II 60 marks, 70 marks in all, 2 hours working time plus 10 minutes reading time, with a worked solution for every question.
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Questions about this sample
What is in the HSC Maths Extension 1 free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.
How many full HSC Maths Extension 1 papers are there?
20 original papers for Year 12 students preparing for the NSW HSC. Each is a full practice examination with Section I 10 multiple-choice, Section II 60 marks, 70 marks in all, 2 hours working time plus 10 minutes reading time, with a worked solution for every question. Papers start at A$15.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.