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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Question 3(c)Question part (c)
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Estimated difficulty · Easy
c. Find the values of x for which 0 ≤ f (x) ≤ 3. 1 mark
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Question 4 (3 marks) Let Xbe a binomial random variable where X~ 4 = .
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Question 4 (3 marks) Let g R : , 3 2 , g(x) = loge(2x − 3) and h : R → R, h(x) = e3x + 2.
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 59% of students · official report
a. Find the standard deviation of X. 1 mark
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a. Show that g ◦ h is defined for all x ∈ R. 2 marks
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 39% of students · official report
b. Find Pr(Y<2). 2 marks ° e 2 £ iS 8 3 = [=]
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b. Find the range of g ◦ h, given the domain of g ◦ h is x ∈ R. 1 mark N H T
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Question 5 (4 marks) In a nursery, 90% of the seeds will grow into seedlings. Let P̂ be the random variable representing the sample proportion of seeds that will grow into seedling
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Question 5 (6 marks) The function /:[0,0) — R, (1) = 000 | models the population of a town aftr years +
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Report-based difficulty · EasyAverage marks: 100% of available · official reportFull marks: 95% of students · official report
a. Use the model /i(?) to predict the population of the town after four years.
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a. Find the mean and standard deviation of P̂. 2 marks
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Report-based difficulty · DifficultAverage marks: 20% of available · official reportFull marks: 2% of students · official report
b. Anew function, /,, models a population where /,(0) = (0) but , decreases at half the rate of / at any point in time. State a sequence of two transformations that maps / to this
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