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 19
Question 19 When grown under the same conditions, two varieties of tomato plant have yields (the quantity of tomatoes produced) that are independent and approximately normally dist
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Specialist Mathematics examination 2Section A, Question 20
Question 20 The masses of avocados in a crop may be assumed to be normally distributed, with a mean of 200 grams and a standard deviation of 7.5 grams. After an avocado of mass M g
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 20
Question 20 A publisher prints a large number of notebooks and textbooks. The thickness of the notebooks is known to have a variance of 0.04 cm2, and the thickness of the textbooks
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Question 1 (10 marks) Consider the function f R f x x : , ( ) 0 2 1 4 4 2 ,
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Question 1 (10 marks) > Consider the fimction / with rule f (x) =*—* *1 —Xx°
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a. Sketch the graph of y = f(x) on the set of axes below. Label the vertical asymptotes with their equations and label the stationary points with their coordinates 3 marks o s 2 EH
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(a)Question part (a)
a. Sketch the graph of y = f (x) on the axes below, and label the point of inflection with its coordinates. 3 marks x y O 0.5 0.4 0.3 0.2 0.1 2 1 Section B
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b. The region bounded by the y-axis, the graph of y = f (x) and the line y = 0.5 is rotated about the y-axis to form a solid of revolution.
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b. The region bounded by the graph of y = f(x) and the lines y = I and y = 6 is rotated about the y-axis to form a solid of revolution.
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i. Write down a definite integral in terms of y that gives the volume of the solid of revolution. 1 mark
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