VCE Mathematical Methods Past Exam Questions
Browse VCE Mathematical Methods exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 1,902 indexed questions and parts.
Section B, Question 3(a)(ii)Question part (a)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. Find the mean distance of the hiking trails listed on app A. Give your answer in kilometres, correct to one decimal place. 1 mark Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
b. App B contains a large list of hiking trails. The distance, in kilometres, of a randomly selected hiking trail from app B can be modelled by a normal distribution with a mean of
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(b)(i)Question part (b)(i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
i. Find the probability that a randomly selected hiking trail from app B is longer than 12 km. Give your answer correct to three decimal places. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(b)(ii)Question part (b)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. Find the minimum distance for a hiking trail from app B to be classified as difficult. Give your answer in kilometres, correct to one decimal place. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(b)(iii)Question part (b)(iii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
iii. A hiker randomly selects 10 hiking trails from app B. Assume that the 10 trails are selected independently. Find the probability that exactly two hiking trails are classified
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(b)(iv)Question part (b)(iv)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
iv. In a random sample of 10 hiking trails from app B, let ˆP be the random variable that represents the proportion of hiking trails that are classified as difficult. Assume that t
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(b)(v)Question part (b)(v)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
v. Consider a random sample of n hiking trails from app B. Use a normal approximation to find the minimum value of n, such that the probability that 10% or more of the trails are c
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
c. A hiker randomly selects either app A or app B with equal probability. They then randomly select a hiking trail from that app. The probability distributions for apps A and B are
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(c)(i)Question part (c)(i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
i. Find the probability that the selected trail is longer than 15 km. Give your answer correct to three decimal places. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 3(c)(ii)Question part (c)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
ii. Given that the selected trail is longer than 15 km, find the probability that it was selected from app A. Give your answer correct to three decimal places. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 4
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 4 (17 marks) Let f be a differentiable function with domain [0, 5]. The graph of y = f (x) is shown below. It has exactly four stationary points, which have coordinates (1
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 4(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. State the values of x for which f ′(x) = 0. 1 mark Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)How to use ClassConnect past exam questions
- Choose a target. Filter by subject, topic, year, sitting or paper.
- Attempt it first. Work under exam conditions before opening the original question.
- Review and repeat. Compare with the official source and examiner report where available; note what to practise next.
Browse without signing in. Topic matches are approximate, not official VCAA tags. Source indexing and difficulty labels do not verify a worked solution. Check current course requirements with your teacher; classconnect is not endorsed by VCAA.
Make practice count
Create a free accountSave your next step
Sign in to save worked questions to My Library. Plus members can build topic-based exam worksheets with separate answer sheets.