VCE Mathematical Methods Past Exam Questions
Browse VCE Mathematical Methods exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 1,902 indexed questions and parts.
Question 1(a)Question part (a)
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a. Let y x x e = 3 5 log ( ). Find dy dx . 2 marks
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b. Let f x x ( ) ( ) 2 3. Find f (x), where f (1) = 1. 2 marks
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Question 2 (3 marks) Consider the graph of the function with the rule y m x a c , where a, c, m ∈ Z. It has an x-intercept (−8, 0), a y-intercept (0, 24), a vertical asymptote x =
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Question 3 (5 marks) Visitors to a popular location purchase different tickets according to the time spent there. The table below outlines the ticket price per visitor. Time spent
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a. Find the probability that a randomly selected visitor purchased a ticket for 20 minutes or less. 1 mark
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b. Find the mean ticket price, in dollars, purchased by a randomly selected visitor. 2 marks
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c. A random sample of five visitors is selected from a large group of visitors. Find the probability that exactly four of the five visitors purchased tickets for less than 10 minut
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Question 4 (4 marks) Consider the function f R :[ , ] 0 2 , f x x ( ) sin 2 6 .
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b. Sketch the graph of y = f (x) on the axes below. Label the coordinates of the turning points and x-intercepts. 3 marks O x y π 3 π 4 π 5 π 2 1 2 −3 −2 −1 π 2
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Question 5 (4 marks) Consider the function with the rule f (x) = tan (2x) + 2 and maximal domain.
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a. Find the equations of the vertical asymptotes for the graph of y = f (x). 1 mark
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c. Find the area of the region bounded by the curve y = f ′(x), the line x 12, the line x 6 and the x-axis. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 1 (PDF, 910.64 KB)How to use ClassConnect past exam questions
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