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 4
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Estimated difficulty · Medium
Question 4 (4 marks) Consider the vectors a =3j+3k,b=2. 2k and ¢=ni+2j+k, where n € Z.
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Question 4 (3 marks) Find the coordinates of the point where the line given by the equation r i j k i j k 4 2 2 2 3 t ( ), where t ∈ R, intersects the plane with the
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 45% of students · official report
a. Find the angle between a and b. 2 marks
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 60% of students · official report
b. Find all possible values of n such that the dot product of a and ¢ is equal to the magnitude of the cross product of a and ¢. 2 marks o ° =) S H FE he
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 59% of students · official report
Question 5 (3 marks) . . k B The curve with equation y Jfor1<x< 3 where k > 2, is rotated about the x-axis to form a solid of revolution that has volume ZZ. unit Show that k satisf
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Question 5 (5 marks) The curve defined by 6 3 0 e x y y arctan cos( ) has an x-intercept of 1. Find the equation of the straight line that is perpendicular to the curve at this int
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Question 6 (5 marks) The production of a brand of weed trimmer involves three stages, Stage 1, Stage 2 and Stage 3, which take I, hours, 7; hours and J7; hours, respectively. Here
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a. A café made a large batch of muffins. The masses of the muffins are normally distributed with a mean of μ grams and a standard deviation of 1 gram. A random sample of 16 muffins
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 79% of students · official report
a. Find the mean and the variance of the total time to produce one weed trimmer. 1 mark
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b. A different random sample of 25 muffins was selected from the batch. The mean mass of this new sample was 25 grams, and a 95% confidence interval was calculated correct to one d
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Report-based difficulty · MediumAverage marks: 45% of available · official reportFull marks: 37% of students · official report
b. Find the variance of the total cost to produce one weed trimmer. 2 marks o ° =) S H FE he
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 45% of students · official report
c. Ifa single weed trimmer is produced, find the probability that the time spent at Stage 2 will be less than the time spent at Stage 1. Give your answer correct to two decimal pla
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 1 · Report: 2024 VCE Specialist Mathematics 1 external assessment report (DOCX, 556.03 KB)How to use ClassConnect past exam questions
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