VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 1,669 indexed questions and parts.
Section B, Question 3(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. Find the value of V. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 3(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 76% of students · official report
a. What is the maximum rate, in cubic metres per day, at which the pollutant will enter the pond, and for what value of 7 will this rate occur? 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)Section B, Question 3(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 53.3% of available · official reportFull marks: 37% of students · official report
b. At what rate is the radius of the disc increasing after ¢ = 4 days, where it may be assumed that the radius of the disc is 6.54 m? Give your answer in metres per day correct to
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)Section B, Question 3(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. i. Find the acceleration, a(t), of the highway patrol car at time t for 2 < t < 8. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 3(b)(ii)Question part (b)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
ii. Hence, find the maximum acceleration of the highway patrol car. Give your answer in m s−2, correct to one decimal place. 1 mark Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 3(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
c. i. Use the substitution u = 5 * to express [tg as an integral involving only the variable u. 240 +51 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2Section B, Question 3(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
c. Sketch the velocity–time graph for the motorcycle on the axes on page 18 for t ≥ 0. Clearly label any intercepts with the axes. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 3(c)(ii)Question part (c)(ii)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 55% of students · official report
ii. Hence, or otherwise, find, in terms of , the total volume ¥ m® of pollutant that has entered the pond after 7 days. Give your answer in the form —.— arctan (27) where a,b, c,d
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)Section B, Question 3(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
d. Write down an expression for the number of metres travelled by the motorcycle t seconds after it passes the highway patrol car. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 3(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · DifficultAverage marks: 25% of available · official reportFull marks: 17% of students · official report
d. What surface area of the pond would the coverage of the pollutant approach? Give your answer in square metres correct to two decimal places. 2 marks Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)Section B, Question 3(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
e. How many metres will the highway patrol car travel to reach a speed of V at t = 8? 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 3(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · DifficultAverage marks: 15% of available · official reportFull marks: 4% of students · official report
e. The clean-up of the pond begins after five days, where the pollutant is removed at a constant rate of 0.05 cubic metres per day until the pond is free of pollutant. However, eff
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)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.