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 6(d)Question part (d)
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 88% of students · official report
d. Write down the null hypothesis, H0 , and the alternative hypothesis, H1 , for the test. 1 mark 23 2023 SPECMATH EXAM 2 d o n o t w r i t e i n t h i s a r e a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 6(e)Question part (e)
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Estimated difficulty · Easy
e. i. Find the p value for the test, correct to two decimal places. 1 mark
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e. i. Find the p value for the test correct to four decimal places. 1 mark
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Estimated difficulty · Medium
ii. Use the p value found in part e.i. to justify an appropriate conclusion about the claim. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 6(e)(ii)Question part (e)(ii)
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Estimated difficulty · Easy
ii. Draw a conclusion about the null hypothesis in part d. from the p value found above, giving a reason for your conclusion. 1 mark
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 60% of students · official report
f. What is the critical sample mean (the smallest sample mean for H0 not to be rejected) in this test? Give your answer in kilograms correct to three decimal places. 1 mark Suppose
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 39% of students · official report
g. What is the probability, correct to three decimal places, of the ranger making a type II error in the statistical test? 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 6(h)Question part (h)
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Report-based difficulty · EasyAverage marks: 100% of available · official reportFull marks: 100% of students · official report
h. The frequency curves for the sampling distributions associated with H0 and H1 are shown below. Label the critical sample mean on the diagram and shade the region that represents
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Question 1 (3 marks) Consider the relation x e ye ey x 2 1 4 9 . Find dy dx at the point (1, 2).
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Estimated difficulty · Easy
Question 1 (3 marks) Consider the equation p(z) = z2 + 6iz – 25, z ∈ C.
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 79% of students · official report
a. Express p(z) in the form p(z) = (z + ai) 2 + b, where a, b ∈ R. 1 mark
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 70% of students · official report
b. Hence, or otherwise, find the solutions of the equation p(z) = 0. 2 marks 2022 SPECMATH EXAM 1 4 d o n o t w r i t e i n t h i s a r e a
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