Mathematics Past Questions And Answers
The table shows the ages(in years) of twenty children chosen at random from a community. What is the median of the distribution? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)
- A. 3.5 years
- B. 3.0 years
- C. 2.5 years
- D. 2.0 years
In the diagram below, PQ is parallel to TU, ?PQR = 50°, ?QRS = 86° and ?STU = 64°. Calculate the value of x.
- A. 136°
- B. 120°
- C. 108°
- D. 100°
Convert the decimal number 89 to a binary number
- A. 101101
- B. 111001
- C. 1001001
- D. 1011001
Express \(\frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)}\) in partial fractions.
- A. \(\frac{x^{2}}{x^{2} + 1} + \frac{x + 4}{1 - x}\)
- B. \(\frac{3}{1 - x} + \frac{2x + 1}{x^{2} + 1}\)
- C. \(\frac{x^{2}}{1 - x} + \frac{x + 4}{x^{2} + 1}\)
- D. \(\frac{3}{1 - x} + \frac{2x + 2}{x^{2} + 1}\)
In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50°. Find the value of < UXY.
- A. 70o
- B. 80o
- C. 105o
- D. 110o
A graduating class has 420 candidates. If 5% of them are in honors roll and the requirement for being in honors roll is to score the minimum of 75%, how many candidates scored below 75%?
- (a) 400
- (b)399
- (c) 200
- (d) 199
The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.
- A. 45°
- B. 75°
- C. 30°
- D. 60°
Express 302.10495 correct to five significant figures
- A. 302.10
- B. 302.11
- C. 302.105
- D. 302.1049
Find the stationary point of the curve \(y = 3x^{2} - 2x^{3}\).
- A. (1, 0)
- B. (-1, 0)
- C. (1, 1)
- D. (-1, -1)
Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = p + q\sqrt{6}\), find q.
- A. 4
- B. -4
- C. -5
- D. -7