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 9(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
d. Let y = g (x) be the tangent to y = f (x) at the point 3 3 , ( ) f . y = g(x) ( ) 3, (3) fx = 1 y = f (x) y x O Using d dx xe f xx ( ) , or otherwise, determine the area of the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Section A, Question 1
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 1 The period and range for the function f x x ( ) sin 3 2 2 3 are respectively A. π and 3 3 , B. 2π and C. 2 3 0 , D. 2π and E. 4π and
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 1
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 74% of available · official reportAnswered correctly: 74% · official report
Question 1 The asymptote(s) of the graph of y = log,(x + 1) — 3 are A. x=-1only B. x=1lonly Cc. —3 only D. x=-landy
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 A, Question 2
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 81% of available · official reportAnswered correctly: 81% · official report
Question 2 = A function g : R —> R has the derivative g(x) = H 2 Given that g (0) = 5, the value of g(2) is s A. 2 7 B. 3 5 cs Ed @ D. 7 ® ° =
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 A, Question 2
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 2 For two independent events, A and B, it is known that Pr (A) = 0.6 and Pr (A ∪ B) = 0.92. Pr (B) is equal to A. 4 5 B. 4 15 C. 8 D. 8 25 E. 1 Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 3
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 3 The positive real numbers a, b and c satisfy the equation log5 a + log 5 b = 2log 5 c Therefore, it must be true that A. a = 2c − b B. a = c2 − b C. a c b = 2 D. a c = 2
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 3
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 67% of available · official reportAnswered correctly: 67% · official report
Question 3 A discrete random variable X is defined using the probability distribution below, where £ is a positive real number. x [J 1 w IS Pr(X=x) 2k 3k Sk 3k 2k Find Pr(X <4|X >1
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 A, Question 4
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 4 A straight line passes through the positive x-intercept of the curve of the cubic y = x3 − x2 − 2x and also through its point of inflection. The gradient of this line is
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 4
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · EasyAverage marks: 70% of available · official reportAnswered correctly: 70% · official report
Question 4 b c if | f(x)dx=—5 and } f(x)dx =3, where a <b <c, then | 2/(x)dx is equal to " a lb A. -16 B. 16 C. 4 D. 4
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 A, Question 5
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 52% of available · official reportAnswered correctly: 52% · official report
Question 5 Consider the functions /: (1, 0) > R, f(x) = 4x and g : R > R, g (x) = &™. The range of the composite function g (/(x)) is A. (0) B. (0,¢] Cc. (0, o D. (0,¢'] 3 2 2 Ques
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 A, Question 5
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 5 When a biased coin is tossed, the probability of the coin landing on heads is 0.25. The coin is tossed 10 times and the number of heads is recorded. The probability that
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 6
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
Question 6 The graph of y = tan(ax) has an asymptote with equation x 6 . A possible value of a is A. 4 B. 6 C. 9 D. 10 E. 12
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.