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 6(b)Question part (b)
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Estimated difficulty · Medium
b. The high jumper was not successful on the first attempt at this height. Find Pr(C|B), given that the high jumper has a 0.7 probability of making a successful jump on either thei
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 7
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Question 7 (6 marks) Let f R R f x x x x : , ( ) 3 2 16 20.
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Question 7 (7 marks) Let f:R— R, f(x) =x" + bx —6, where b € R.
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 90% of students · official report
a. Verify that x = 5 is a solution of f x ( ) = 0. 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)Question 7(a)Question part (a)
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a. Find the values of » for which the two solutions of f(x) = 0 have a difference of 5. 2 marks
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 76% of students · official report
b. Express f x ( ) in the form ( ) ( ) x d x 2 5 , where d R ∈ . 2 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 7(b)Question part (b)
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b. Leth<0.
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i. Explain why an inverse function does not exist when fis restricted to the domain (0, cw). 1 mark o ° =) S H FE he ES @ El ? E
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ii. Find a rule for the inverse function of f when /'is restricted to the domain (—, 0). 2 marks
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 76% of students · official report
c. Consider the graph of y f x = ( ), as shown below. Complete the coordinate pairs of all axial intercepts of y f x = ( ). 1 mark y x ( , 0) ( , 0) O (0, ) y = f (x)
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 7(c)Question part (c)
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c. Let gbea function with maximal domain and the rule g(x) = log, (~x - 2). Find the value of b for which the maximal domain of the composite function gofis(-2,2). 2 marks Id I ® 2
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d. Let g R R g x x : , ( ) 2.
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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