VCE Mathematical Methods Past Exam Questions
Browse VCE Mathematical Methods exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 1,902 indexed questions and parts.
Section B, Question 4(d)Question part (d)
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d. Consider the tangent to the graph of y f x = ( ) at the point A where x 2 3 , as shown on the axes below. π 2 x y y = f (x)A 1 2 π O Find the equation of the tangent to the grap
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(e)Question part (e)
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e. Apply two iterations of Newton’s method to f with x0 2 3 .
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(e)(i)Question part (e)(i)
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i. Write down x2 , correct to one decimal place. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(e)(ii)Question part (e)(ii)
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ii. On the axes in part d, draw the tangent to the graph of y f x = ( ) at the point where x x = 1. 1 mark (Answer on the graph in part d.) Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(f)Question part (f)
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Estimated difficulty · Easy
f. Now consider the line y t x = ( ), which is the tangent to the graph of y f x = ( ) at the point p f p , ( ) , where p 0 5 2 , . xO y y = f (x) 1 π 2 π y = t(x) ( p, f ( p))
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(f)(i)Question part (f)(i)
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Estimated difficulty · Medium
i. Show that t x x p p p ( ) ( ) sin ( ) cos ( ) 1. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(f)(ii)Question part (f)(ii)
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ii. Determine the minimum and maximum possible values for the y-intercept of y t x = ( ), for p 0 5 2 , . 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(f)(iii)Question part (f)(iii)
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Estimated difficulty · Easy
iii. Determine the values of p for which y t x = ( ) has a unique x-intercept that is equal to the x-intercept of y f x = ( ). Give your answers correct to two decimal places. 2 ma
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(g)Question part (g)
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Estimated difficulty · Medium
g. Let g R g x ax bx cx d : , , ( ) 0 5 2 3 2 be a polynomial function, where a b c d R , , , ∈ . Suppose g f ( ) ( ) 0 0 = and g' f ( ) ( ) 0 0 . This page is blank. Mathematical
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(g)(i)Question part (g)(i)
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i. Show that c = 1 and d = 1. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(g)(ii)Question part (g)(ii)
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ii. If g f ( ) ( ) 2 2 and g' f ( ) ( ) 2 2 , determine the area bounded by the graphs of y f x = ( ) and y g x = ( ), for x [ , ] 0 2 . Give your answer correct to two decimal pla
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 4(g)(iii)Question part (g)(iii)
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Estimated difficulty · Easy
iii. Let a = 0, c = 1, d = 1. Find b and r, such that g r f r ( ) ( ) = and g' r f r ( ) ( ) , where b R ∈ and r 0 5 2 , . 2 marks Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)How to use ClassConnect past exam questions
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