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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Estimated difficulty · Medium
e. The wax manufacturer claims that descent times will be reduced by at least 2% with the application of the new wax. Assuming the mean descent time of 200 s is in fact reduced by
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Report-based difficulty · EasyAverage marks: 72.5% of available · official reportFull marks: 48% of students · official report
Question 1 (4 marks) Consider the curve with equation xe y e ey x 2 2 4 8 . Find the equation of the tangent to the curve at the point (4, -2).
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 1 (PDF, 860.54 KB) · Report: 2025 VCE Specialist Mathematics 1 external assessment report (DOCX, 386.51 KB)Question 1
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Question 1 (5 marks) The position of a particle with respect to the origin, O, at time f seconds, 1 > 0, is given by the parametric equations x = & and y= 20-1) 5——2, where x and y
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a. The Cartesian equation of the path of the particle is given by x> +)? = c. Find the value of ¢. 2 marks
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b. As the value of 7 approaches infinity, the position of the particle approaches the point (, k). Find the values of / and k. 1 mark o ° =) S H FE he
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c. Sketch the graph of the path of the particle for 7 > 0 on the axes below. Use an arrow to indicate the direction of the particle’s motion. 2 marks, y IS 44 24 + + + +—» x 4 = 0
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Question 2 (3 marks) It may be assumed that the mass of precious metal found in a randomly selected cubic metre of soil is normally distributed throughout a mine. Sixteen samples a
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Report-based difficulty · EasyAverage marks: 73.3% of available · official reportFull marks: 59% of students · official report
Question 2 (3 marks) Consider the following two lines, L1 and L2. L1 passes through the point A1(2, 3, 1) and has direction u i j k 2 . L2 passes through the point A2 (1, 3
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 1 (PDF, 860.54 KB) · Report: 2025 VCE Specialist Mathematics 1 external assessment report (DOCX, 386.51 KB)Question 2(a)Question part (a)
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a. Write down the sample mean. 1 mark
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b. Find the population standard deviation used to calculate the confidence interval. 2 marks o ° =) S H FE he ES @ El ? E
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Question 3 (5 marks) A particle starts from rest at a fixed point O and travels in a straight line. The velocity, v m s-1 , of the particle at time t seconds has equation v t t t k
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Question 3 (4 marks) Prove by mathematical induction that 2° + 4° + 6> + ... + (2n)* = 2n* (n + 1), where n € N. Id I & 2 £ 8 H ° = o [=]
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 1 (PDF, 2.74 MB)How to use ClassConnect past exam questions
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