Mathematics Past Questions And Answers
If log7.5 = 0.8751, evaluate 2 log75 + log750
- A. 6.6252
- B. 6.6253
- C. 66.252
- D. 66.253
lf sin θ= \(\frac{-1}{2}\), find all the values of θ between 0° and 360°.
- A. 120°,240°
- B. 120°,180°
- C. 210°,300°
- D. 210°,330°
Solve for x if 25x+3(5x)=4
- A. 1 or -4
- B. 0
- C. 1
- D. -4 or 0
Simplify \(\frac{2.25}{0.015}\) leaving your answer in standard form
- A. 1.5 x 10-4
- B. 1.5 x 10-2
- C. 1.5 x 10-3
- D. 1.5 x 102
Express \(\frac{4π}{2}\) radians in degrees.
- A. 288°
- B. 200°
- C. 144°
- D. 120°
The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take \(\pi = \frac{22}{7}\)]
- A. 14cm
- B. 7m
- C. 3\(\frac{1}{2}\)m
- D. 1\(\frac{3}{4}\)m
The distance s in metres covered by a particle in t seconds is \(s = \frac{3}{2}t^{2} - 3t\). Find its acceleration.
- A. \(1 ms^{-2}\)
- B. \(2 ms^{-2}\)
- C. \(3 ms^{-2}\)
- D. \(4 ms^{-2}\)
Evaluate \(\cos (\frac{\pi}{2} + \frac{\pi}{3})\)
- A. \(\frac{-2}{\sqrt{3}}\)
- B. \(\frac{-\sqrt{3}}{2}\)
- C. \(\frac{\sqrt{3}}{4}\)
- D. \(\frac{4}{\sqrt{3}}\)
What is the circumference of latitude 0°S if R is the radius of the earth?
- A. cos θ
- B. 2πR cos θ
- C. R sin θ
- D. 2 π r sin θ
The angle subtended by an arc of a circle at the centre is \(\frac{\pi}{3} radians\). If the radius of the circle is 12cm, calculate the perimeter of the major arc.
- A. \(4(6 + 5\pi)\)
- B. \(4(6 + 2\pi)\)
- C. \(4(3 + 3\pi)\)
- D. \(4(3 + 5\pi)\)