Mathematics Past Questions And Answers
If \(\sin x = -\sin 70°, 0° < x < 360°\), determine the two possible values of x.
- A. 110
- B. 110
- C. 200
- D. 250
My watch was correct at noon, after which it started to lose 15 minutes per hour. It now shows 2.15 pm. What time is it now?
- A. 2.30 pm
- B. 2.45 pm
- C. 3.00 pm
- D. 3.15 pm
Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)
- A. 1/8
- B. 1/4
- C. 2
- D. 8
Triangle SPT is the solution of the linear inequalities

- A. 2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0
- B. 2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, -2 ≥ x ≥ -1
- C. -2 ≥ x ≥ 2, y ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0
- D. 2y - x - 2 ≥ 0, y + 2x + 2 ≥ 0, y ≤ 0, x ≥ 0
Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)
- A. \(\frac{1}{x + y}\)
- B. \(\frac{1}{xy}\)
- C. x + y
- D. xy
A particle starts from rest and moves in a straight line such that its velocity, V ms\(^{-1}\), at time t second is given by V = 3t\(^2\) - 6t. Calculate the acceleration in the 3rd second.
- A. 0 ms\(^{-2}\)
- B. 3 ms\(^{-2}\)
- C. 6 ms\(^{-2}\)
- D. 9 ms\(^{-2}\)
Which of the following is not true? You may construct a
- A. triangle given all the three sides
- B. triangle given one side and two angles
- C. triangle given two sides and the included angle
- D. quatrilateral given all the four sides
Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?
- A. 3x + 1
- B. x + 1
- C. 2x + 1
- D. x + 2
Given that a = log 7 and b = log 2, express log 35 in terms of a and b.
- A. a + b + 1
- B. ab - 1
- C. a - b + 1
- D. b - a + 1
The probabilities that a husband and wife will be alive in 15 years time are m and n respectively. Find the probability that only one of them will be alive at that time.
- A. mn
- B. m + n
- C. m + n - 2mn
- D. 1 - mn

