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.
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Section B, Question 6(e)Question part (e)
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 90.5% of students · official report
e. Write down the null and alternative hypotheses that will be used in testing the company’s claim. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section B, Question 6(f)Question part (f)
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Estimated difficulty · Easy
f. i. Determine the p value for this test. Give your answer correct to four decimal places. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB)Section B, Question 6(f)Question part (f)
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Estimated difficulty · Easy
f. Write down the null and alternative hypotheses for this test. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section B, Question 6(f)(ii)Question part (f)(ii)
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Report-based difficulty · MediumAverage marks: 68% of available · official reportFull marks: 68.0% of students · official report
ii. Is the company’s claim correct? Explain your conclusion in terms of the p value. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section B, Question 6(g)Question part (g)
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Estimated difficulty · Easy
g. Find the p value for the test. Give your answer correct to four decimal places. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section B, Question 6(g)Question part (g)
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Report-based difficulty · MediumAverage marks: 62% of available · official reportFull marks: 63.0% of students · official report
g. At the 1% level of significance for a sample size of 50 bottles, find the critical value of the sample mean, below which a sample mean value would support the conclusion that th
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section B, Question 6(h)Question part (h)
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Report-based difficulty · MediumAverage marks: 53% of available · official reportFull marks: 53.6% of students · official report
h. Assume that, after the service, the true mean volume of water in the Apa bottles was found to be 747.5 mL and that the population standard deviation, σ, is 5 mL. At the 1% level
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section B, Question 6(i)Question part (i)
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Estimated difficulty · Medium
i. Suppose that the true mean bicycle tyre life is 3350 km. Find the probability, correct to three decimal places, that the manufacturer will still conclude that the mean bicycle t
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Question 1
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Estimated difficulty · Medium
Question 1 (4 marks) Consider the function with rule f(z) =3z*+2iz% +3z + 2i, where z € C.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 1Question 1(a)Question part (a)
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 73% of students · official report
a. Verify that 3z + 2i is a factor of f(z). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 1 · Report: 2024 VCE Specialist Mathematics 1 external assessment report (DOCX, 556.03 KB)Question 1(a)Question part (a)
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Estimated difficulty · Easy
a. A certain model of electric car accelerates in a straight line from rest, with constant acceleration, to travel 400 metres in 10 seconds.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 1Question 1(a)(i)Question part (a)(i)
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Estimated difficulty · Easy
i. Find the acceleration of the car in m s−2. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 1How to use ClassConnect past exam questions
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