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QCE Year 11 Mathematical Methods practice questions by area of study

100 exam-style questions · full worked solutions

The 100 practice questions inside the QCE Year 11 Mathematical Methods Mastery Pack, grouped by area of study. Every question comes with a full worked solution.

  1. Unit 1 · Unit 1 Topic 1: Surds and quadratic functions10 questions · 20 marks
    • Multiple choice × 6
    • Simplify × 1
    • Calculate × 1
    • Sketch × 1
    • Solve × 1
  2. Unit 1 · Unit 1 Topic 2: Binomial expansion and cubic functions10 questions · 19 marks
    • Multiple choice × 6
    • Expand × 2
    • Sketch × 1
    • Model × 1
  3. Unit 1 · Unit 1 Topic 3: Functions and relations10 questions · 25 marks
    • Multiple choice × 6
    • Determine × 1
    • Model × 1
    • Sketch × 1
    • Analyse × 1
  4. Unit 1 · Unit 1 Topic 4: Trigonometric functions10 questions · 23 marks
    • Multiple choice × 6
    • Calculate × 1
    • Solve × 1
    • Sketch × 1
    • Model × 1
  5. Unit 1 · Unit 1 Topic 5: Probability10 questions · 20 marks
    • Multiple choice × 6
    • Calculate × 2
    • Determine × 1
    • Solve × 1
  6. Unit 2 · Unit 2 Topic 1: Exponential functions10 questions · 20 marks
    • Multiple choice × 6
    • Simplify × 1
    • Calculate × 1
    • Sketch × 1
    • Solve × 1
  7. Unit 2 · Unit 2 Topic 2: Logarithms and logarithmic functions10 questions · 23 marks
    • Multiple choice × 6
    • Evaluate × 1
    • Solve × 1
    • Sketch × 1
    • Calculate × 1
  8. Unit 2 · Unit 2 Topic 3: Introduction to differential calculus10 questions · 21 marks
    • Multiple choice × 6
    • Calculate × 1
    • Show × 1
    • Determine × 1
    • Solve × 1
  9. Unit 2 · Unit 2 Topic 4: Applications of differential calculus10 questions · 20 marks
    • Multiple choice × 6
    • Determine × 2
    • Calculate × 1
    • Interpret × 1
  10. Unit 2 · Unit 2 Topic 5: Further differentiation10 questions · 19 marks
    • Multiple choice × 6
    • Determine × 4
Sample question
Which is √72 in simplest surd form?
  • 3√8
  • 36√2
  • 8√3
  • 6√2
Show the worked answer

Answer: D

72 = 36 × 2 and 36 is the largest perfect square factor, so √72 = 6√2. 3√8 is equal in value but not simplest, since 8 still contains the factor 4.

Common questions

How many QCE Year 11 Mathematical Methods practice questions are included, and how are they grouped?

100 exam-style questions grouped by area of study, each with a full worked solution.

The breakdown is 10 on Unit 1 · Unit 1 Topic 1: Surds and quadratic functions, 10 on Unit 1 · Unit 1 Topic 2: Binomial expansion and cubic functions, 10 on Unit 1 · Unit 1 Topic 3: Functions and relations, 10 on Unit 1 · Unit 1 Topic 4: Trigonometric functions, 10 on Unit 1 · Unit 1 Topic 5: Probability, 10 on Unit 2 · Unit 2 Topic 1: Exponential functions, 10 on Unit 2 · Unit 2 Topic 2: Logarithms and logarithmic functions, 10 on Unit 2 · Unit 2 Topic 3: Introduction to differential calculus, 10 on Unit 2 · Unit 2 Topic 4: Applications of differential calculus, 10 on Unit 2 · Unit 2 Topic 5: Further differentiation.

Can I try a QCE Year 11 Mathematical Methods practice question before buying?

Yes. One sample question with its worked answer is on this page; the full set comes with the QCE Year 11 Mathematical Methods Mastery Pack, one payment, no subscription.

Are these official QCAA 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 QCE Year 11 Mathematical Methods Mastery Pack

2 original practice exams with worked solutions, 10 revision notes, 100 practice questions and 120 flashcards.

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Preview a sample note and question free on the QCE Year 11 Mathematical Methods hub →

Mathematical Methods · 100 practice questions