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 7(d)(i)Question part (d)(i)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 44% of students · official report
i. State the coordinates of the stationary point of inflection for the graph of y f x g x = ( ) ( ). 1 mark
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 27% of students · official report
ii. Write down the values of x for which f x g x ( ) ( ) ≥ 0. 1 mark
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Estimated difficulty · Medium
Question 8 (5 marks) Consider f x x x ( ) ( ) 3 8 4 3 0 4 0 otherwise
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Estimated difficulty · Medium
Question 8 (6 marks) Let £:[0,50) = R, f(x) = , where k is a positive real number. x 2x +k
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Estimated difficulty · Easy
a. Consider the particular case where k = 6. d x +
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Report-based difficulty · MediumAverage marks: 46.7% of available · official reportFull marks: 24% of students · official report
a. The continuous random variable X has probability density function f x ( ). Find k such that Pr ( ) X k 9 16 . 3 marks
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Estimated difficulty · Medium
i. Show that —(xVx+6)=vx+6 + . 1 mark ow that 2 ) 2x46 6
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Estimated difficulty · Medium
ii. Hence, or otherwise, evaluate the definite integral | f(x) dx. 3 marks o ° =) S H FE he
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 27% of students · official report
b. The function h x ( ) is a transformation of f x ( ) such that h x m f x n ( ) ( ) where m and n are real numbers. Find 0 4 3 ∫ h x dx ( ) in terms of m and n. 2 marks This page
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Estimated difficulty · Medium
Question 9 (7 marks) Consider the functions f R R f x w x : \ , ( ) ( ) 1 1 2 2 and g R R g x x w : , ( ) ( ) 2 where w R ∈ .
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Report-based difficulty · DifficultAverage marks: 33.3% of available · official reportFull marks: 19% of students · official report
a. If w 3, find the four solutions to f x g x ( ) ( ) = . 3 marks
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Estimated difficulty · Medium
b. Consider the case where w > 0. This page is blank. Mathematical Methods
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB)How to use ClassConnect past exam questions
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