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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Question 3(b)Question part (b)
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b. Complete the graph of f on the axes on page 6 by sketching the graph of f where x < 0. Find the coordinates of the stationary point and the equation of the vertical asymptote. L
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 1Question 4
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 37% of students · official report
Question 4 (3 marks) Consider the relation x arcsin(y2) = π. Use implicit differentiation to find dy dx at the point 6 1 2 , . Give your answer in the form a b , where a, b ∈ Z +.
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Question 4 (3 marks) The ends of a light inextensible string are fixed to a horizontal ceiling at points A and B, which are four metres apart. A body of mass m kilograms is attache
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a. Mark and label all forces acting on the mass on the diagram below. 1 mark A B θ m kg
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b. Given that the tension in the string is 5 N, find the value of m. 2 marks 9 2023 SPECMATH EXAM 1 (NHT) TURN OVER d o n o t w r i t e i n t h i s a r e a
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Report-based difficulty · MediumAverage marks: 66.7% of available · official reportFull marks: 53% of students · official report
Question 5 (3 marks) Evaluate x x dx e 2 1 log ( ) ∫ . 2023 SPECMATH EXAM 1 6 D O N O T W R I T E I N T H I S A R E A
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a. Find the three solutions of the equation z3 = −8i, where z ∈ C. Give your answers in Cartesian form. 2 marks
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b. Let z1 and z2 be two of the solutions of the equation z3 = −8i. Show that the length of the straight line segment between the points represented by z1 and z2 is 2 3. 1 mark
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c. Hence, or otherwise, determine the area of the triangle whose vertices are the points representing the solutions of the equation z3 = −8i. 1 mark 2023 SPECMATH EXAM 1 (NHT) 10 D
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Question 6 (3 marks) A function f has rule f x x ( ) 5 2 3 2. The length of the curve for the graph of f in the interval 0 ≤ x ≤ k is 1022 27 . Find the value of k. 11 2023 SPECMAT
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Question 6 (4 marks) Josie travels from home to work in the city. She drives a car to a train station, waits, and then rides on a train to the city. The time, X c minutes, taken to
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Report-based difficulty · EasyAverage marks: 85% of available · official reportFull marks: 75% of students · official report
a. Find the mean and standard deviation of the total time, in minutes, it takes for Josie to travel from home to the city. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 1 · Report: 2023 VCE Specialist Mathematics 1 external assessment reportHow to use ClassConnect past exam questions
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