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.
![worked solutions of O Level A Math Paper 2 question 1 on trigonometry (R-formula)](http://emilylearning.com/wp-content/uploads/2021/09/Slide2-3-1024x576.png)
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.
![worked solutions of O Level A Math Paper 2 question 2 on quadratic functions and discriminant](http://emilylearning.com/wp-content/uploads/2021/09/Slide3-3-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 2 on quadratic functions and discriminant](http://emilylearning.com/wp-content/uploads/2021/09/Slide4-3-1024x576.png)
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.
![worked solutions of O Level A Math Paper 2 question 3 on binomial theorem](http://emilylearning.com/wp-content/uploads/2021/09/Slide5-3-1024x576.png)
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.
![worked solutions of O Level A Math Paper 2 question 4 on proofs in plane geometry](http://emilylearning.com/wp-content/uploads/2021/09/Slide6-3-1024x576.png)
Question 5 on quadratic inequalities and sketching of graphs
This is a question on solving quadratic inequalities, and sketching of graphs y = axn.
![worked solutions of O Level A Math Paper 2 question 5 on quadratic inequalities](http://emilylearning.com/wp-content/uploads/2021/09/Slide7-3-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 5 on graphs of indices](http://emilylearning.com/wp-content/uploads/2021/09/Slide8-3-1024x576.png)
Question 6 on linear law
This is a question on linear law. Students are expected to draw a straight line graph for this question.
![worked solutions of O Level A Math Paper 2 question 6 on linear law](http://emilylearning.com/wp-content/uploads/2021/09/Slide9-3-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 6 on linear law](http://emilylearning.com/wp-content/uploads/2021/09/Slide10-2-1024x576.png)
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.
![worked solutions of O Level A Math Paper 2 question 7 on differentiation and integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide11-3-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 7 on differentiation and integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide12-2-1024x576.png)
Question 8 on Logarithm
A question on logarithm, and a bit on indices.
![worked solutions of O Level A Math Paper 2 question 8 on logarithm and indices](http://emilylearning.com/wp-content/uploads/2021/09/Slide14-2-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 8 on logarithm and indices](http://emilylearning.com/wp-content/uploads/2021/09/Slide15-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 8 on logarithm and indices](http://emilylearning.com/wp-content/uploads/2021/09/Slide16-1024x576.png)
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.
![worked solutions of O Level A Math Paper 2 question 9 on coordinate geometry](http://emilylearning.com/wp-content/uploads/2021/09/Slide17-1024x576.png)
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).
![worked solutions of O Level A Math Paper 2 question 10 on integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide18-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 10 on integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide19-1024x576.png)
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.
![worked solutions of O Level A Math Paper 2 question 11 on rate of change, chain rule, differentiation and integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide20-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 11 on rate of change, chain rule, differentiation and integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide21-1024x576.png)
![worked solutions of O Level A Math Paper 2 question 11 on rate of change, chain rule, differentiation and integration](http://emilylearning.com/wp-content/uploads/2021/09/Slide22-1024x576.png)
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