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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.

Indexed questions and parts1,669in Specialist Mathematics
Subject banks1subject
Exam years2015–2026Available in this subject

Matching results: 1,669 indexed questions and parts.

Section A, Question 19

Specialist Mathematics2024NHT2
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Estimated difficulty · Medium

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

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Source: 2024 VCE (NHT) Specialist Mathematics examination 2

Section A, Question 20

Specialist Mathematics2024VCE2
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Report-based difficulty · MediumAverage marks: 48% of available · official reportAnswered correctly: 48% · official report

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

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Source: 2024 VCE Specialist Mathematics examination 2 · Report: 2024 VCE Specialist Mathematics 2 external assessment report (DOCX, 980.56 KB)

Section A, Question 20

Specialist Mathematics2024NHT2
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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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Source: 2024 VCE (NHT) Specialist Mathematics examination 2

Section A, Question 20(d)Question part (d)

Specialist Mathematics2024VCE2
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Estimated difficulty · Easy

This page is blank. Id I & 2 £ 8 H ° = o [=] Examination continues on the next page. Section B

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Source: 2024 VCE Specialist Mathematics examination 2

Section A, Question 20(e)Question part (e)

Specialist Mathematics2024NHT2
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Estimated difficulty · Easy

This page is blank. N H T

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Source: 2024 VCE (NHT) Specialist Mathematics examination 2

Section B, Question 1

Specialist Mathematics2024NHT210 marks
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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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Source: 2024 VCE (NHT) Specialist Mathematics examination 2

Section B, Question 1

Specialist Mathematics2024VCE210 marks
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Question 1 (10 marks) > Consider the fimction / with rule f (x) =*—* *1 —Xx°

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Source: 2024 VCE Specialist Mathematics examination 2

Section B, Question 1(a)Question part (a)

Specialist Mathematics2024VCE23 marks
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Report-based difficulty · MediumAverage marks: 66.7% of available · official reportFull marks: 17% of students · official report

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

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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)

Specialist Mathematics2024NHT23 marks
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Estimated difficulty · Easy

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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Source: 2024 VCE (NHT) Specialist Mathematics examination 2

Section B, Question 1(b)Question part (b)

Specialist Mathematics2024NHT2
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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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Source: 2024 VCE (NHT) Specialist Mathematics examination 2

Section B, Question 1(b)Question part (b)

Specialist Mathematics2024VCE2
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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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Source: 2024 VCE Specialist Mathematics examination 2

Section B, Question 1(b)(i)Question part (b)(i)

Specialist Mathematics2024NHT21 marks
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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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Source: 2024 VCE (NHT) Specialist Mathematics examination 2
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