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.
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.
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.
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.
Question 5 on quadratic inequalities and sketching of graphs
This is a question on solving quadratic inequalities, and sketching of graphs y = axn.
Question 6 on linear law
This is a question on linear law. Students are expected to draw a straight line graph for this question.
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.
Question 8 on Logarithm
A question on logarithm, and a bit on indices.
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.
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).
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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