VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
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Section B, Question 1(b)(i)Question part (b)(i)
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 56% of students · official report
i. Write down a definite integral involving only the variable y, that when evaluated, will give the volume of the solid. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)Section B, Question 1(b)(ii)Question part (b)(ii)
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Estimated difficulty · Easy
ii. Find the volume of the solid. 1 mark
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 56% of students · official report
ii. Find the volume of the solid, correct to one decimal place. 1 mark xb
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 72% of students · official report
c. Now consider the function g with rule g(x) = where b € R. 1-x% For what value of b will the graph of g have no asymptotes? 1 mark o( 12 (b+ y)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)Section B, Question 1(c)Question part (c)
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Estimated difficulty · Easy
c. The solid of revolution is used to model an open fishpond where lengths are measured in metres. A waterproof membrane of negligible thickness is to be applied to the interior su
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Estimated difficulty · Easy
d. The pond, which is initially empty, is filled with water flowing in at a rate of 0.1 cubic metres per minute. At what rate is the water level rising when the depth is 0.25 m? Gi
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Estimated difficulty · Easy
d. The gradient function of g is given by g'(x) = 1-x) For what values of b will the graph of g have exactly
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 27% of students · official report
i. one stationary point? 1 mark three stationary points? 1 mark five stationary points? 1 mark Section B
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Estimated difficulty · Medium
Question 2 (11 marks) Question 2 continues on the next page. The points representing z1, z2 and z3 are shown on the Argand diagram below.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section B, Question 2(a)Question part (a)
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Estimated difficulty · Medium
a. Given cos ( ) sin ( ) cos ( ) sin ( ) i n i n n for n ∈ Z +, show, using appropriate trigonometric identities, that cos( ) sin( ) cos ( ) sin ( ) i n i n n 1 1 1 for n ∈ Z + 2 m
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 63% of students · official report
a. Express the relation |z —z| —2,] in the form y = mx + ¢, where x, v, m, ¢ € R, z=x+iy, 1+2iand 2 marks
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Estimated difficulty · Easy
b. Express z n in polar form. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2How to use ClassConnect past exam questions
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