# SPM Mathematics Trial 2021 (Selangor), Paper 2 (Question 1 & 2)

Question 1:
Solve the following equation:
3x (3 – x) = -(4 + 2x)
(4 marks)

Solution:
3x (3 – x) = -(4 + 2x)
9x – 3x2 = -4 – 2x
3x2 – 9x – 2x – 4 = 0
3x2 – 11x – 4 = 0
(x – 4)(3x + 1) = 0
x = 4, x = –1/3

Question 2:
Diagram 1 shows a prism-shaped solid with a rectangular base ABCD lying on the horizontal plane. The surface ABGF is the uniform cross-section of the prism. ADEF is a square.

Calculate the angle between the plane ABCD and the line AH.
[4 marks]

Solution: