ATARMAxxing · Mathematics Advanced
HSC Mathematics Advanced Practice Questions
64 exam-style questions · full worked solutions
The 64 practice questions inside the HSC Mathematics Advanced Mastery Pack, grouped by area of study. Every question comes with a full worked solution.
- Calculus
- Multiple choice × 24
- Find × 2
- Analyse × 2
- Calculate × 3
- Evaluate × 1
- Trigonometric Functions
- Multiple choice × 12
- Sketch and describe × 1
- Find × 1
- Prove × 1
- Calculate × 1
- Statistical Analysis
- Multiple choice × 12
- Calculate × 2
- Analyse × 1
- Evaluate × 1
Sample question
The graph of y = f(x), where f(x) = 2x - 6, is used to sketch the reciprocal graph y = 1/f(x). At which value does the reciprocal graph have a vertical asymptote?
- A. x = -3
- B. x = 0
- C. x = 3
- D. y = 3
Show the worked answer
Answer: C
A reciprocal graph y = 1/f(x) has a vertical asymptote wherever f(x) = 0. Solving 2x - 6 = 0 gives x = 3, so the vertical asymptote is x = 3.
Included in the HSC Mathematics Advanced Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
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