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 4
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 4 continues on the next page. Question 4 (13 marks) Timothy has created a tiling pattern using transformations of the cubic function f : [−4, 0] → R, f (x) = a(x − b) 3 +
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 4
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Difficult
Question 4 (15 marks) At an airport, luggage is weighed before it is checked in. The mass of each piece of luggage, in kilograms, is modelled by a continuous random variable X, who
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 4(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 79% of students · official report
a. Write a definite integral which gives the probability that a piece of luggage is labelled as heavy. 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 4(a)Question part (a)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
a. The translation of f given by f2(x) = f (x − 4) − 4 describes a different edge of one of the tiles. Trace over the edge described by f2 on the graph in Figure 1, and label this
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 4(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. Given that f has a stationary point of inflection at (−2, 2) and an axial intercept at (0, 4), find the values of a, b and c. 2 marks N H T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 4(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
b. i. Find the mean of X. 1 mark Section B Use the following information to answer parts c and d of this question. Of the travellers flying from the airport + 10% do not check in a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 4(b)(ii)Question part (b)(ii)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 71% of students · official report
ii. Find the standard deviation of .X. 2 marks fii. Given that the mass of a piece of luggage is more than the mean, find the probability that it is labelled as heavy, correct to t
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 4(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
c. Let W be the discrete random variable that represents the number of pieces of luggage labelled as heavy checked in by each traveller. ° e 2 £ iS 8 3 = [=] Page 230f 28 d. e. On
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 4(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
c. The piecewise function, p, is continuous, where the first component is f, the other component is a translation of f and both are edges in Timothy’s tiling pattern. Complete a po
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 4(c)(i)Question part (c)(i)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 36% of students · official report
i. Show that Pr (J = 2) = 0.027, correct to three decimal places. 1 mark i. Find Pr(P > 0.2), correct to three decimal places. 2 marks i. In one random sample of 50 pieces of lugga
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 4(c)(ii)Question part (c)(ii)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · DifficultAverage marks: 15% of available · official reportFull marks: 11% of students · official report
ii. Complete the table below for the probability distribution 7, correct to three decimal places 2 marks w 0 1 2 Pr(W =w) 0.027 o 1 3 ° a g () 5 @ = ® ii. Determine the probability
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 4(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
d. Find the rule and domain for f −1, the inverse function of f. 2 marks Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 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.