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.
Section B, Question 5(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
c. I Write a single definite integral that gives the area bounded by the graphs of y= (f°g)x) andy = (g ° /)(x) in the interval [0, 27] 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 5(c)(i)Question part (c)(i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
i. Find the equation of the tangent line to the graph of y = g1(x) at x = e. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(c)(ii)Question part (c)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. Sketch the graph of g1 and its inverse on the axes provided below. Label equations of asymptotes and the coordinates of the point of intersection between the two functions. 3 m
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(c)(ii)Question part (c)(ii)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 45% of students · official report
ii. Hence, state the area bounded by the graphs of y = (f° g)(x) and y= (g/)(x) in the interval [0, 27], correct to two decimal places. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 5(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
d. Now let a = − 4 and consider g2(x) = e−4x.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(d)(i)Question part (d)(i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
i. Find the rule for g2−1, the inverse function of g2 . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(d)(ii)Question part (d)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. Find the values of x where g2 intersects with its inverse, correct to three decimal places. 1 mark Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
e. The value of a determines the number of intersection points of the graphs of g and g−1. Complete the following table by stating the value(s) of a in each case. 2 marks Number of
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Question 1(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 65% of available · official reportFull marks: 42% of students · official report
a. Let y x x e x 2 . Find and simplify dy dx . 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 1 examination · Report: 2023 VCE Mathematical Methods 1 external assessment reportQuestion 1(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. Find the derivative of y = x sin(x) with respect to x. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 1Question 1(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 65% of students · official report
b. Let f x x e x ( ) sin( ) = 2 . Find f 4 . 2 marks Instructions Answer all questions in the spaces provided. In all questions where a numerical answer is required, an exact value
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 1 examination · Report: 2023 VCE Mathematical Methods 1 external assessment reportQuestion 1(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
b. Evaluate x x dx cos( ) 0 2 . 2 marks
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
- Choose a target. Filter by subject, topic, year, sitting or paper.
- Attempt it first. Work under exam conditions before opening the original question.
- Review and repeat. Compare with the official source and examiner report where available; note what to practise next.
Browse without signing in. Topic matches are approximate, not official VCAA tags. Source indexing and difficulty labels do not verify a worked solution. Check current course requirements with your teacher; classconnect is not endorsed by VCAA.
Make practice count
Create a free accountSave your next step
Sign in to save worked questions to My Library. Plus members can build topic-based exam worksheets with separate answer sheets.