Here, you will find the suggested answer for 2020 GCE O Level A Math exam. Click on the link below to go to the question directly.
Question 1 (Note: No longer tested in O Level A Math from 2021 onwards: sum and product of roots of quadratic functions)
Question 5 (Note: Absolute functions are no longer tested in O Level A Math from 2021 onwards)
Question 1 on Quadratic Functions
This question on sum of roots and product of roots of a quadratic equation is no longer tested from 2021 onwards. I’ve still included the solutions for this question, if you are interested.
Question 2 on Indices
This is a question on indices and surds. In part (a), students are tested on the laws of indices.
In part (b), it’s quite straight forward. Sort of like compound interest which you have learnt in elementary Math.
Question 3 on Partial Fractions
This question is on partial fractions. An improper fraction is given, hence students are required to make it a proper fraction in addition to applying partial fractions.
Question 4 on Application of Differentiation – Increasing function
In this question, students need to apply the concept that when a function is increasing, dy/dx > 0.
Question 5 on Absolute Functions or | |
Absolute functions are no longer tested in GCE O Level for A Math from 2021 onwards. I have included the solutions for this, just in case you are interested.
Question 6 on Application of differentiation – finding stationary points
In this question, students are expected to use differentiation to find stationary points.
Question 7 on Trigonometry (solving equations and applying identities)
In this question, students need to make use of trigonometric identities to manipulate the given trigonometry equation. There after, they then solve the trigonometric equation
Question 8 on Polynomials – Factor Remainder Theorem and solving cubic equations
There are 2 parts in this question.
In part a, students use the concept learnt in the chapter on factor- remainder theorem.
In part b, students are asked to solve cubic equations.
Question 9 on Coordinate Geometry and Circles
This is a coordinate geometry question, with the main focus on circles in coordinate geometry.
Question 10 on Finding Area by Integration
This is a question involving finding area between two graphs by integration.
Question 11 on Application of Integration and Differentiation to Kinematics
This is a question on kinematics. Students are required to find distance and acceleration given velocity.
To find distance, you’ll need to integration velocity.
To find acceleration, differentiate velocity.
Question 12 on Trigonometry
This is a long question on trigonometry with 6 parts! The question mainly revolve around using of identities, and knowing the sign of the trigonometric ratios in different quadrants (recall ASTC).
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