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 A, Question 19
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 67% of available · official reportAnswered correctly: 67% · official report
Question 19 A company accountant knows that the amount owed on any individual unpaid invoice is normally distributed with a mean of $800 and a standard deviation of $200. What is t
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 A, Question 19
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 19 A random sample of 50 passengers flying from Melbourne to Brisbane has a mean mass of 73 kg and a standard deviation of 8 kg. Assuming that the standard deviation obtai
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section A, Question 20
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 20 X and Y are independent random variables, each of which has a mean, m, and variance, v. The standard deviation of the random variable Z, where Z = pX + qY, is given by
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section A, Question 20
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 63% of available · official reportAnswered correctly: 63% · official report
Question 20 The lifespan of a certain electronic component is normally distributed with a mean of μ hours and a standard deviation of σ hours. Given that a 99% confidence interval,
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 A, Question 20(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
11 2023 SPECMATH EXAM 2 (NHT) 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 (NHT) Specialist Mathematics examination 2Section A, Question 20(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
9 2023 SPECMATH EXAM 2 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 2Section B, Question 1
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 1 (9 marks) Let f x x x x x ( ) 4 2 7 2 3 2 2 2 .
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 1
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 1 (10 marks) Viewed from above, a scenic walking track from point O to point D is shown below. Its shape is given by f x x x a x e x b xx ( ) ( ) , , 2 1 0 1 1 2 . The min
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2Section B, Question 1(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: 78% of students · official report
a. Show that a = −1 and b = 0. 1 mark
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 1(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. Express f (x) in the form A Bx C x x 2 3 2 2 , where A, B and C are real constants. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 1(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. State the equations of the asymptotes of the graph of f. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 1(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 61% of students · official report
b. Verify that the two curves meet smoothly at point C. 2 marks 11 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 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportHow 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.