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 3(f)Question part (f)
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Estimated difficulty · Easy
f. For what value of t will the highway patrol car draw level with the motorcycle? 2 marks
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Estimated difficulty · Easy
g. How many metres will the highway patrol car need to travel to draw level with the motorcycle? 1 mark N H T
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Estimated difficulty · Difficult
Question 4 (10 marks) The position vector, r( ) t , from an origin, O, of a drone t seconds after leaving the ground is given by r i ( ) sin cos t t t 50 25 30 50 25 30 jj
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Estimated difficulty · Medium
Question 4 (11 marks) A model yacht is sailing on a lake between two buoys. Its path from one buoy to the other, relative to an origin 0, is given by ar 2; ry (1) =3sec(r)i + 2tan
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 78% of students · official report
a. Use a trigonometric identity to show that the Cartesian equation of the path is given 1 mark
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Estimated difficulty · Medium
a. i. Show that it takes 50 seconds for the drone to gain an altitude of 30 m. 1 mark
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Estimated difficulty · Easy
ii. Find the angle of elevation from O of the drone when it is at an altitude of 30 m. Give your answer in degrees, correct to the nearest degree. 2 marks
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Estimated difficulty · Easy
b. After how many seconds will the drone first be directly above the point of take-off? 1 mark
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 41% of students · official report
b. Sketch the path of the yacht on the axes below. Label the endpoints with their coordinates and show the direction of motion. 2 marks Id I & 2 £ 8 H ° = o [=] Section B
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Estimated difficulty · Easy
c. i. Write down an expression, in terms of sec (7), for the square of the speed of the yacht at any time, 7. 1 mark Id I & 2 £ 8 H ° = o [=]
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Estimated difficulty · Medium
c. Show that the velocity of the drone is always perpendicular to its acceleration. 2 marks Section B
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 61% of students · official report
ii. Find the time, in minutes, when the minimum speed occurs. You do not need to justify that this speed is a minimum. 1 mark fii. State the minimum speed of the yacht in metres pe
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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