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 7(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. Find Pr( | ) X X 4 2 . 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 7(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
b. I. Find f(x). 1 mark 2; Ii. Determine the range of f(x) over the interval [2 z] . 1 mark lil. Hence, verify that f(x) has a stationary point for x & [5 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examinationQuestion 7(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · DifficultAverage marks: 36.7% of available · official reportFull marks: 15% of students · official report
c. On the set of axes below, sketch the graph of y = f(x) on the domain [7.7] labelling the endpoints with their coordinates. You may use the fact that the graph of y = (x) has a l
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examination · Report: 2024 VCE Mathematical Methods 1 external assessment report (DOCX, 452.28 KB)Question 8
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 8 (4 marks) Let f R f x x : , , ( ) 1 3 3 1 .
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 8
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 8 (7 marks) Let g:R— R.g(x)=3x—k +m. where k ¢ R\{0} and m < R Let the point P be the y-intercept of the graph of y = g(x).
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examinationQuestion 8(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 61% of students · official report
a. Find the coordinates of 7, in terms of k and m. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examination · Report: 2024 VCE Mathematical Methods 1 external assessment report (DOCX, 452.28 KB)Question 8(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. Find an anti-derivative for f (x). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 8(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 32% of students · official report
b. Find the gradient of g at 2, in terms of k. 2 marks ¢. Given that the graph of y = g(x) passes through the origin, express & in terms of 7. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examination · Report: 2024 VCE Mathematical Methods 1 external assessment report (DOCX, 452.28 KB)Question 8(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. The average value of the function, f, over 0 ≤ x ≤ m is 1 3 . Find the value of m. 3 marks N H T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 9
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 9 (8 marks) Let f : (0, ∞) → R, f (x) = (x − 1)e−x.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 9(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. State a sequence of transformations that will map f (x) onto f ′(x). 2 marks •
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 9(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
c. Show that d dx xe f xx ( ). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 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.