Here, you will find the suggested answer for 2020 GCE O Level A Math exam Paper 2. Click on the link below to go to the question directly.
Question 1 on Trigonometry (R- formula)
A very typical R- formula question. Students are first asked to apply R- formula to a trigonometric expression. Next they are asked for the minimum and maximum value, and find the angle at which it occurs.
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Question 2 on Simultaneous equations and Quadratic functions
This question involves solving non-linear simultaneous equations in part (a), followed by testing students on applying discriminants to quadratic functions, given certain scenario.
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Question 3 on Binomial Theorem
In this question, students are expected to make use of the expression for the (r+1)th term of the binomial expansion to solve the question.
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Question 4 on Proofs in Plane Geometry (not tested in 2021 as the common last topic is taken out)
Proofs in plane geometry is taken out from 2021 O Level A math exam. However, I have included the worked solutions.
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Question 5 on quadratic inequalities and sketching of graphs
This is a question on solving quadratic inequalities, and sketching of graphs y = axn.
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Question 6 on linear law
This is a question on linear law. Students are expected to draw a straight line graph for this question.
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Question 7 on Differentiation and Integration
This questions tests students on the concept of integration as a reverse of differentiation. Part (a) involve differentiation, and the rest of the question involves using the results from the differentiation, to solve an integration question.
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Question 8 on Logarithm
A question on logarithm, and a bit on indices.
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Question 9 on Coordinate Geometry
This is a question on coordinate geometry. Students are given a parallelogram, and the coordinates of some points. Concepts tested include finding point of intersection, finding length between two points, finding gradient as well as equation of straight line.
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Question 10 on Integration
This is a question that involves integration of f”(x) to obtain f'(x), and the integrating f'(x) to obtain f(x).
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Question 11 on Rate of Change (Differentiation)
This is a question on using differentiation to find rate of change. Students are also tested on the use of chain rule and integration.
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