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 A, Question 12
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Question 12 An object starts with an initial velocity of 4 ms! at time 7 = 0 seconds and moves in a straight line from a fixed point O. \ dv _ 4+? where —= Attime seconds its displ
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 12
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Report-based difficulty · DifficultAverage marks: 33% of available · official reportAnswered correctly: 33% · official report
Question 12 A particle moves along a straight line with constant acceleration. It passes through a point A with velocity u m s−1 and then through a point B with velocity v m s−1 .
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Report-based difficulty · MediumAverage marks: 55% of available · official reportAnswered correctly: 55% · official report
Question 13 From an open window, a person projects a ball vertically up using an outstretched arm so the ball does not strike any part of the building. The point of projection of t
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Question 13 Consider two vectors, a and b, where a =—2i + 3j+ mk, m € R" and b is an arbitrary non-zero vector. LT A . . The angle between a and b is and the scalar resolute of a i
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Question 14 Consider the vectors piand b=pi-4j, where p € R, and a is parallel to b. The magnitude of p is A awn B. C. D.
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Report-based difficulty · MediumAverage marks: 48% of available · official reportAnswered correctly: 48% · official report
Question 14 For non-zero vectors a and b, if a b a b , then the angle between b is A. 0 B. π 4 C. 2 D. 3
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Report-based difficulty · MediumAverage marks: 52% of available · official reportAnswered correctly: 52% · official report
Question 15 Consider the two planes described by the equations 2x + 2y + z = 2 and ax + 4z = 1, where a is a positive constant. The angle between the two planes is cos 1 2 3 . The
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Question 15 A cricket ball is hit from an origin O at ground level, on a horizontal oval. Its position at time t seconds is given by r(f)=12¢1 + (1960 -4.9° )is where 1 > 0, i is a
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Question 16 Consider two vectors a and b such that [a| > 0, [b|>0 and a-b=0. The expression (a xb)-(bxa) is equivalent to
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Report-based difficulty · MediumAverage marks: 67% of available · official reportAnswered correctly: 67% · official report
Question 16 The position vector of a particle at time t is given by r i j ( ) t ne tt 2 2 , where n is a positive constant. For what value of n is the particle’s acceleration
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Report-based difficulty · MediumAverage marks: 52% of available · official reportAnswered correctly: 52% · official report
Question 17 The acceleration vector of a particle that starts from rest is given by a i j k ( ) cos ( ) sin ( ) t t t e t 4 2 10 2 6 2 , where t ≥ 0. The velocity vector of
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Question 17 Two sides of a triangle are spanned by the vectors 2i + j— 3k and i —2j +k. The area of this triangle is 53 2 B. 53 C. 5 Section A
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