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 3(a)Question part (a)
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Estimated difficulty · Easy
a. Find the general solution for f(x) = 0. 2 marks
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b. Let 3 R= R(x) =sin (0) + 3. Id I ® 2 £ 8 H ° = o [=]
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Report-based difficulty · MediumAverage marks: 66.7% of available · official reportFull marks: 51% of students · official report
b. Solve f x ( ) = 0 for x. 3 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)Question 3(b)(i)Question part (b)(i)
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i. Find all values of x such that f(x) = g (x) for x & (~7, 7). 2 marks o ° =) S H FE he
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Estimated difficulty · Easy
ii. The graph of y = g(x) is shown below. Ld On the set of axes below, sketch the graph of y = f(x) over the interval (=. > ) s labelling all points where f(x) = g(x) with their co
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 33% of students · official report
c. Sketch the graph of y f x = ( ) for x 2 3 , on the axes below. Label the endpoints with their coordinates. 2 marks −1 −2 1 y x π 3 π 2 π π O
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Question 4 (4 marks) The probability distribution for the discrete random variable X is given in the table below, where k is a positive real number. x 0 1 2 3 Pr (X = x) 4 k 2 75 k
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Question 4 (5 marks) An orchard contains a large number of apples. One third of the apples are bruised.
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a. Ina random sample of four apples, find the probability that exactly three are bruised. ~~ 2 marks
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Report-based difficulty · MediumAverage marks: 65% of available · official reportFull marks: 56% of students · official report
a. Show that k = 10 or k = 15. 2 marks
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Estimated difficulty · Easy
b. Let 2 be the random variable representing the proportion of bruised apples in random samples of 10 apples from the orchard. Find wr < 5) . 10 m Give your answer in the form =—,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 1 (PDF, 1.92 MB)Question 4(b)(i)Question part (b)(i)
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 75% of students · official report
i. Find Pr ( ) X > 1 . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)How to use ClassConnect past exam questions
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