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 1(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · DifficultAverage marks: 25% of available · official reportFull marks: 13% of students · official report
d. Let h : R → R, h(x) = (x − a)(x − b)2, where h(x) = f (x) + k and a, b, k ∈ R. Find the possible values of a and b. 4 marks 2023 MATHMETH EXAM 2 12 d o n o t w r i t e i n t h i
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection B, Question 1(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
e. Describe the transformation from the graph of y = g(x) to the graph of y = g(3x). 1 mark Let h : R → R, h(x) = mx + n, where m and n are real numbers.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(f)Question part (f)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
f. Find the value of m, such that the graph of the sum function y = g(x) + h(x) has a turning point on the y-axis. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(g)Question part (g)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
g. Find n in terms of m, such that the graph of the sum function y = g(x) + h(x) has a turning point on the x-axis. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(h)Question part (h)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
h. Find two pairs of values for m and n, such that the graph of the product function y = g(x)h(x) has exactly two x-intercepts. 3 marks 2023 MATHMETH EXAM 2 (NHT) 12 D O N O T W R
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(i)Question part (i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
i. Find the coordinates of the turning point of the graph of y g h x ( ) , giving your answer in terms of m and n. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 2 (13 marks) The amount of caffeine present in Kim’s body after they drink espresso coffee can be modelled mathematically. Students suggest that the amount of caffeine, C
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 2 (11 marks) The following diagram represents an observation wheel, with its centre at point P. Passengers are seated in pods, which are carried around as the wheel turns.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examinationSection B, Question 2(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 66% of students · official report
a. Show that b 15 and c = 75. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection B, Question 2(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. How much caffeine will be present in Kim’s body 2 hours after they consume an espresso? Give your answer in milligrams, correct to one decimal place. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 45% of available · official reportFull marks: 42% of students · official report
b. Find the average height of a pod on the wheel as it travels from point A to point B. Give your answer in metres, correct to two decimal places. 2 marks 13 2023 MATHMETH EXAM 2 d
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection B, Question 2(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. How long will it take for the amount of caffeine in Kim’s body to reach 10 milligrams after drinking an espresso? Give your answer in hours and minutes, correct to the nearest m
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2How 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.