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 2
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Question 2 (2 marks) Let f ′ (x) = (3 − x)3. Find f (x) given that f ( ) 4 5 4 = . Instructions Answer all questions in the spaces provided. In all questions where a numerical answ
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Report-based difficulty · MediumAverage marks: 66.7% of available · official reportFull marks: 56% of students · official report
Question 2 (3 marks) Solve e2x − 12 = 4ex for x ∈ R.
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Question 3 (5 marks) A school’s first-aid room contains five first-aid kits. Three first-aid kits are red and two are orange. For three days in a row, one first-aid kit is selected
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a. Find Pr(R = 3), the probability that the first-aid kit selected is red on all three days. 1 mark
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 66% of students · official report
a. Sketch the graph of f x x ( ) 2 3 1 on the axes below, labelling all asymptotes with their equations and axial intercepts with their coordinates. 3 marks O−3 −2 −1 1 2 3 4 6 5 4
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 38% of students · official report
b. Find the values of x for which f (x) ≤ 1. 1 mark 5 2023 MATHMETH EXAM 1 TURN OVER d o n o t w r i t e i n t h i s a r e a
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Estimated difficulty · Easy
b. Find the standard deviation of the random variable R. 1 mark
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Estimated difficulty · Easy
c. Find Pr( ) R R 3 2 . 3 marks 5 2023 MATHMETH EXAM 1 (NHT) TURN OVER d o n o t w r i t e i n t h i s a r e a
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Question 4 (4 marks) Let g(x) = 22x − 9 × 2x + 20.
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Report-based difficulty · MediumAverage marks: 55% of available · official reportFull marks: 45% of students · official report
Question 4 (2 marks) The graph of y x x 1 is shown over part of its domain. y x O y x x 1 1 2 3 4 1 2 3 4 Use two trapeziums of equal width to approximate the area between the curv
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a. Evaluate g log ( ) 2 3 , giving your answer as an integer. 2 marks
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Estimated difficulty · Easy
b. Solve g(x) = 0 for x. 2 marks 2023 MATHMETH EXAM 1 (NHT) 6 D O N O T W R I T E I N T H I S A R E A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 1How to use ClassConnect past exam questions
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