ATARMAxxing · Mathematical Methods
QCE Mathematical Methods Practice Questions
64 exam-style questions · full worked solutions
The 64 practice questions inside the QCE Mathematical Methods Mastery Pack, grouped by area of study. Every question comes with a full worked solution.
- Calculus — Differentiation
- Multiple choice × 12
- Find × 1
- Determine × 2
- Sketch × 1
- Integration and Discrete Probability
- Multiple choice × 12
- Determine × 2
- Find × 1
- Calculate × 1
- Statistics — Continuous Distributions and Sampling
- Multiple choice × 12
- Verify and calculate × 1
- Determine × 1
- Determine and justify × 1
- Calculate and evaluate × 1
- Trigonometry, Further Integration and Inference
- Multiple choice × 12
- Determine × 1
- Evaluate × 1
- Calculate × 1
- Justify × 1
Sample question
A coastal seagrass biomass is modelled by B(x) = e^(3x^2). Using the chain rule, the derivative B'(x) is:
- 6x e^(3x^2)
- 3x e^(3x^2)
- 6x e^(6x)
- e^(3x^2)
Show the worked answer
Answer: A
Chain rule: B'(x) = e^(3x^2) x d/dx(3x^2) = e^(3x^2) x 6x = 6x e^(3x^2). Correct option: A.
Included in the QCE Mathematical Methods Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
Unlock Mathematical Methods — $20
Preview a sample note and question free on the QCE Mathematical Methods hub →