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.
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Section A, Question 7
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Report-based difficulty · MediumAverage marks: 68% of available · official reportAnswered correctly: 68% · official report
Question 7 A fair six-sided die is repeatedly rolled. What is the minimum number of rolls required so that the probability of rolling a six at least once is greater than 0.95? A. 1
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section A, Question 7
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Estimated difficulty · Easy
Question 7 The function f R R f x a b x b : , ( ) cos ( ) 1 has a period of π 3 and a maximum value of 10. Given that b > 0, the minimum value of the function f is A. 6 B. 4 C. 1 D
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Estimated difficulty · Medium
Question 8 When entering a zoo, visitors are asked how many times they have previously visited. The discrete random variable, N, with the probability distribution shown below, can
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Estimated difficulty · Easy
Question 9 Let f (x) = 3x2 − 2ax + 6, where a ∈ R. The set of values of a such that f (x) > 0 for all x ∈ R is A. a a : 3 2 B. a a a a : : 3 2 3 2 C. a a a a : : 3 2 3 2 D. a a : 3
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Estimated difficulty · Medium
Question 10 The graph for y = f (x) is shown below. (k, k) (−k, k) (−2, 0) O (2, 0) y x Find the value of k given that f (x) is a probability density function. A. 2 1 − B. − − 2 1
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Estimated difficulty · Easy
Question 11 In a certain location, the number of hours, h, of daylight per day is modelled by h t t ( ) cos ( ) 12 3 2 365 175 , where t ∈ Z + where t represents the day of the yea
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Report-based difficulty · MediumAverage marks: 40% of available · official reportAnswered correctly: 40% · official report
Question 11 Twelve students sit in a classroom, with seven students in the first row and the other five students in the second row. Three students are chosen randomly from the clas
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section A, Question 12
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Report-based difficulty · MediumAverage marks: 47% of available · official reportAnswered correctly: 47% · official report
Question 12 The graph of y =£(x) is shown below. Which of the following options best represents the graph of y= (2x + 1)? A B. o 1 3 ° a g () 5 @ = ®
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Estimated difficulty · Easy
Question 12 Newton’s method is used to estimate the x-intercept of the function f : [0, ∞) → R, f x x x e ( ) log ( ) 2 1 4 5 2 With an initial estimate of x0 = 0, the estimate for
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Estimated difficulty · Easy
Question 13 Suppose that we have two continuous functions, f and g, with domain R. It is known that g(x) < 0 for all x and f ′ (x) = g(x). Given that f (−1) = 2 and f (2) = −1, wha
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Report-based difficulty · MediumAverage marks: 45% of available · official reportAnswered correctly: 45% · official report
Question 13 The function £: (0,0) —> R, f(x 2 is mapped to the function g with the following 2 x sequence of transformations: 1. dilation by a factor of 3 from the y-axis 2. transl
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section A, Question 14
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Report-based difficulty · MediumAverage marks: 53% of available · official reportAnswered correctly: 53% · official report
Question 14 g Let /1 be the probability density function for a continuous random variable X, where 2 v 5 Tk 3<x<0 Po 6 2 h(x)= “Sek 0<x<l 3 ° 0 elsewhere c o a and kis a positive r
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