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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Section B, Question 4(f)(ii)Question part (f)(ii)
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ii. Find the minimum value of f g x ( ) and the value of x for which the minimum occurs. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 4(f)(iii)Question part (f)(iii)
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iii. Find the x-values of the stationary points of f g x ( ) . 4 marks Section B
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Question 1 (4 marks) log, (x) 2
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 88% of students · official report
a. Let y x x = 2 cos ( ). Find dy dx . 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 1(a)Question part (a)
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a. Lety ” Find and simplify ps 2 marks Ix
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 61% of students · official report
b. Let f x x ( ) 6 1 5. Find the gradient of the tangent to y f x = ( ) at x = 8. 2 marks
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b. Let f(x) =sin(ze™). o ° =) S H FE he ES @ El ? E Evaluate f7(0). 2 marks
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Estimated difficulty · Easy
Question 2 (3 marks) Let 2:R>R,gx)=ax’+bx* + cwherea, b,c € R and h:R— R, h(x The graph of y = g(x) passes through the point (0, 9). The graphs of y= g(x) and y = (x) pass through
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 40% of students · official report
Question 2 (2 marks) Let g x ( ) be a function defined for x 3 2 so that g x x ( ) 1 2 3 and g( ) 1 0 = . Find g x ( ).
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Question 3 (7 marks) Let f:1D > R, f(x)= 3 tan (3) + 1 where D is the maximal domain.
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Question 3 (6 marks) Let f R f x x : [ , ] , ( ) cos ( ) 0 2 2 2 1 .
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 81% of students · official report
a. State the range of f. 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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