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 5(c)Question part (c)
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Estimated difficulty · Medium
c. Show that the line L does not intersect the plane Q. 3 marks
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 67% of students · official report
c. Let C be the point (0, 2, =5). Find the Cartesian equation of the plane that contains the points 4, B and C. 3 marks
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 5(d)Question part (d)
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d. Another plane has the Cartesian equation 2x — 3y + 4z = 12. This plane intersects the coordinate axes at three points, which form the vertices of a triangle.
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d. Find the shortest distance from the line L to the plane Q. 3 marks N H T
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 63% of students · official report
i. Find the coordinates of these three points. 1 mark Id I & 2 £ 8 H ° = o [=]
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 5(d)(ii)Question part (d)(ii)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 46% of students · official report
ii. Find the area of the triangle. Give your answer in the form mn where m and n are integers. 2 marks Section B
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Question 6 (9 marks) A process to manufacture a particular type of vinegar involves the conversion of sugar. It is known that stopping the conversion process after four weeks resul
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Question 6 (9 marks) A machine fills bottles with olive oil. The volume of olive oil dispensed into cach bottle may be assumed to be normally distributed with mean 4 millilitres (m
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 91% of students · official report
a. Write down suitable null and alternative hypotheses Hy and , for the test. 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 6(a)Question part (a)
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a. Write down the mean and standard deviation of the sampling distribution for the concentration of sugar in a random sample of nine bottles. 1 mark
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b. What is the required minimum sample size so that there is 90% confidence that the true mean concentration of sugar is within ± 0.05 of the sample mean? 2 marks A shorter manufac
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b. i. Find the p value for this test correct to three decimal places. 1 mark
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