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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Question 9(c)Question part (c)
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Estimated difficulty · Medium
c. Solve the logistic differential equation to show that t P P e 2 4 500 log . 3 marks
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d. Hence, or otherwise, find the coordinates of point A. 1 mark N H T
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Question 10 (4 marks) Use integration by parts to evaluate 4 3 3 2 3 3 2 arcsin x dx . Give your answer in the form aπ + b, where a, b ∈ R. This page is blank. N H T Mensuration ar
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Question 1 Consider the following proof. Prove that 15 7 19 . Assume 15 7 19 . Then 15 7 19 2 15 2 105 7 19 2 105 3 hence 15 7 19 . This proof can be best described as a A. direct
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Report-based difficulty · EasyAverage marks: 72% of available · official reportAnswered correctly: 72% · official report
Question 1 Consider the statement “for any integers m and n, if m+n =9 thenm =5orn=5". The contrapositive of this statement is A. ifm<S5orn<5 thenm+n<9 B. ifm=5ornz5thenm+nz9 9 C.
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 A, Question 2
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Question 2 Consider the following algorithm to estimate the arc length of a certain curve. define f (x) return x2 sum 0 a 1 b 2 h 0.5 left a right a + h while right ≤ b
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Report-based difficulty · MediumAverage marks: 48% of available · official reportAnswered correctly: 48% · official report
Question 2 2 seeto El Consider the function / with rule f(x) = Ea XER\{Z 7 Lx=2 Which of the following statements is correct? A. The function fis continuous. B. The graph of y = f(
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 A, Question 3
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Report-based difficulty · EasyAverage marks: 70% of available · official reportAnswered correctly: 70% · official report
Question 3 The graph of /(x)=—>—"_, where h « R, will have no turning points when (x+1)(x—4) A. h<-landh>4 B. —4<h<l C. —1<h<4 D. 4<h<l
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 A, Question 3
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Question 3 The graph of y x a 1 1 2 , where a ∈ R, has two x-intercepts when A. a < 1 B. a ≥ −1 C. −1≤ a ≤ 1 D. a < 0 or a ≥ 1 E. a < 0 or a > 1 N H T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section A, Question 4
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Question 4 The solutions of 1 5 7 02 sin( ) cos( ) cos ( ) x x x can be found by solving A. tan( ) tan( ) x x 2 3 0 B. tan( ) tan( ) x x 1 7 0 C. tan( ) tan( ) x x 3 2 0 D. tan( )
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Question 4 N Given that sin(x) = a, where x (Zz. 2x then wos( 1) is equal to
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 2Section A, Question 5
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Report-based difficulty · EasyAverage marks: 70% of available · official reportAnswered correctly: 70% · official report
Question 5 If the point z = 1+ +/3i is represented on an Argand diagram, the point representing —= can be located by A. reflecting the point representing = in the real axis B. rota
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)How to use ClassConnect past exam questions
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