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HSC Year 11 Mathematics Extension 1 practice questions by area of study

50 exam-style questions · full worked solutions

The 50 practice questions inside the HSC Year 11 Mathematics Extension 1 Mastery Pack, grouped by area of study. Every question comes with a full worked solution.

  1. Unit 11 · Functions: Further work with functions (ME1-11-01)10 questions · 18 marks
    • Multiple choice × 6
    • Sketch × 1
    • Find × 2
    • Solve × 1
  2. Unit 11 · Functions: Polynomials (ME1-11-02)10 questions · 20 marks
    • Multiple choice × 6
    • Sketch × 1
    • Calculate × 1
    • Find × 1
    • Evaluate × 1
  3. Unit 11 · Trigonometric functions: Further trigonometry (ME1-11-03)10 questions · 22 marks
    • Multiple choice × 6
    • Calculate × 1
    • Prove × 1
    • Solve × 2
  4. Unit 11 · Combinatorics: Permutations and combinations (ME1-11-04)10 questions · 17 marks
    • Multiple choice × 6
    • Calculate × 3
    • Prove × 1
  5. Unit 11 · Combinatorics: The binomial theorem (ME1-11-05)10 questions · 18 marks
    • Multiple choice × 6
    • Expand × 1
    • Calculate × 2
    • Prove × 1
Sample question
Let f(x) = x and g(x) = (x − 3)². For which values of x is the product y = f(x)g(x) negative?
  • x < 0 or x > 3
  • 0 < x < 3
  • x > 3
  • x < 0
Show the worked answer

Answer: D

(x − 3)² ≥ 0 for all x and equals 0 only at x = 3, so the sign of the product is the sign of f(x) = x except at x = 3 where y = 0. Hence y < 0 exactly when x < 0. The graph crosses the axis at x = 0 and touches it at x = 3.

Common questions

How many HSC Year 11 Mathematics Extension 1 practice questions are included, and how are they grouped?

50 exam-style questions grouped by area of study, each with a full worked solution. The breakdown is 10 on Unit 11 · Functions: Further work with functions (ME1-11-01), 10 on Unit 11 · Functions: Polynomials (ME1-11-02), 10 on Unit 11 · Trigonometric functions: Further trigonometry (ME1-11-03), 10 on Unit 11 · Combinatorics: Permutations and combinations (ME1-11-04), 10 on Unit 11 · Combinatorics: The binomial theorem (ME1-11-05).

Can I try a HSC Year 11 Mathematics Extension 1 practice question before buying?

Yes. One sample question with its worked answer is on this page; the full set comes with the HSC Year 11 Mathematics Extension 1 Mastery Pack, one payment, no subscription.

Are these official NESA questions?

No. These are original Year 11 practice questions. Your school sets its assessment program; use the linked official curriculum sources to check course coverage.

Included in the HSC Year 11 Mathematics Extension 1 Mastery Pack

2 original practice exams with worked solutions, 5 revision notes, 50 practice questions and 60 flashcards.

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Preview a sample note and question free on the HSC Year 11 Mathematics Extension 1 hub →

Mathematics Extension 1 · 50 practice questions