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 4(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
d. i. Express Larry’s speed at time t in the form a bf t + ( ) , where a, b ∈ R. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 4(d)(ii)Question part (d)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. Find Larry’s maximum speed, in metres per minute, and give the coordinates of the points at which he reaches this maximum speed. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 4(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
e. i. Given that dQ dt Q Q 11 10 1 1000 , express d Q dt 2 2 in terms of Q. 1 mark 19 2023 SPECMATH EXAM 2 d o n o t w r i t e i n t h i s a r e a TURN OVER
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2Section B, Question 4(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
e. On a particular morning, a dolphin is seen in the river. The position of the dolphin, r D ( ) t , at time, t minutes, is given by r i + j D ( ) 120 10 2 at t , relative
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 4(e)(ii)Question part (e)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
ii. Hence or otherwise, find the size of the fish population in pond 2 and the value of t when the rate of growth of the population is a maximum. Give your answer for t correct to
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2Section B, Question 4(f)Question part (f)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 55% of available · official reportFull marks: 43% of students · official report
f. Sketch the graph of Q versus t on the set of axes below. Label any axis intercepts and any asymptotes with their equations. 2 marks Q t 1000 800 600 400 200 O 1 2 3 4 5 6 The fa
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 4(g)Question part (g)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 40% of students · official report
g. Find the maximum number of fish that could be supported in pond 2 in this situation. 1 mark 2023 SPECMATH EXAM 2 20 d o n o t w r i t e i n t h i s a r e a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 5
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 5 (11 marks) The points with coordinates A(1, 1, 2), B(1, 2, 3) and C(3, 2, 4) all lie in a plane Π.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2Section B, Question 5
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 5 (10 marks) A mass of 2 kg sits on a smooth plane inclined at 30° to the horizontal. A light inextensible horizontal string is attached to the mass.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. Initially, the mass is held in equilibrium by the string, which has a tension force of magnitude P newtons. The situation is shown on the diagram below. P 30°
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(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: 63% of students · official report
a. Find the vectors → AB and → AC, and hence show that the area of triangle ABC is 1.5 square units. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 5(a)(i)Question part (a)(i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
i. On the diagram above, show and clearly label any other forces acting on the mass. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2How 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.