Mathematics Past Questions And Answers
If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two
- A. 1110
- B. 10111
- C. 11101
- D. 111100
The equation of a curve is given by \(y = 2x^{2} - 5x + k\). If the curve has two intercepts on the x- axis, find the value(s) of constant k.
- A. \(k = \frac{8}{25}\)
- B. \(k = \frac{25}{8}\)
- C. \(k < \frac{25}{8}\)
- D. \(k > \frac{25}{8}\)
Evaluate \((111_{two})^2\) and leave your answer in base 2
- A. \(111001_{two}\)
- B. \(110001_{two}\)
- C. \(101001_{two}\)
- D. \(10010_{two}\)
Which of the following scientists postulated that moving particles exhibit wave properties?
- A. Niels Bohr
- B. Ernest Rutherford
- C. Werner Heisenberg
- D. Louis de Broglie
The probability of picking a letter T from the word OBSTRUCTION is
- A. 1/11
- B. 2/11
- C. 3/11
- D. 4/11
The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through
- A. (2,5)
- B. (5,2)
- C. (1,0)
- D. (0,1)
\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of \(\overline{XY}\) is (-4,-2) find the coordinates of Y.
- A. (-6,-2)
- B. (0,8)
- C. (4,10)
- D. (0,4)
If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x.
- A. \(y \geq \frac{1}{x}\)
- B. \(y \leq \frac{1}{x}\)
- C. \(y \leq \frac{1}{x^{2}}\)
- D. \(y \geq \frac{1}{x^{2}}\)
What is the angle between \(a = (3i - 4j)\) and \(b = (6i + 4j)\)?
- A. 13°
- B. 87°
- C. 100°
- D. 110°
Given that \(\log_{2} y^{\frac{1}{2}} = \log_{5} 125\), find the value of y.
- A. 16
- B. 25
- C. 36
- D. 64