Nobel International School, Petaling Jaya
Mock Test Additional Mathematics
May 2023
1. Factorize the below quadratic functions,
(i) f(x)=3x²+5x-6 by using CTS, and
(ii) f(x)=-5x²-2x+9 by using the quadratic formula.
(4 marks)
2. Expand f(x)=(-3x+7)(2x-9) and find the maximum or minimum point and axis of
symmetry of this function. Hence, sketch this function's graph with all the information
stated.
(5 marks)
3. Given two linear lines, 3y-10x=2x+19 and -4y+7x=21-6y. Find the point of intersection
of these two lines.
(4 marks)
4. Solve the following simultaneous equations, 3x+y=1 and x²+y²=5.
(4 marks)
5. Given a straight line y=2x+3. Find the equation of the line perpendicular to the
straight line which passes through the point (-1,1).
(3 marks)
6. Find the equation of line AB that passes through (6,1) and (-4,6). Then, find the
equation of the perpendicular line that passes through line AB's midpoint. (4 marks)
7. Solve the following exponential equations.
2𝑥−3
(i) 5
2𝑥
1−3𝑥
= 12
3𝑥−1
(ii) 3(4 ) = 2
8. Solve the following simultaneous equations.
(i) log(x) + 2 = log(5y) ; log(y) - log(8x+3) = 0
(ii) 𝑙𝑜𝑔2𝑥 − 𝑙𝑜𝑔2𝑦 = 2 ; 𝑙𝑜𝑔2(3𝑥 − 2𝑦) = 1
(6 marks)
(6 marks)
Total : [36 marks]