Mathematics Past Questions And Answers
Express the product of 0.21 and 0.34 in standard form
- A. 7.14 x 10-3
- B. 7.14 x 10-2
- C. 7.14 x 10-1
- D. 7.14 x 10-4
Find all real number x which satisfy the inequality 1/3(x + 1) - 1 > 1/5(x + 4)
- A. x< 11
- B. x< -1
- C. x > 6
- D. x > 11
The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. lf the area of the trapezium is 105 cm2, find the perpendicular distance between the parallel sides.
- A. 5cm
- B. 7cm
- C. 10cm
- D. 15cm
Radio waves travel in air at 3.0 x 108ms-1. If the waves enter water of refractive index \(\frac{4}{3}\), calculate the speed of radio waves in water
- A. 4.33 x 108ms-1
- B. 4.00 x 108ms-1
- C. 2.25 x 108ms-1
- D. 1.33 x 108ms-1
If \(\frac{^{8}P_{x}}{^{8}C_{x}} = 6\), find the value of x.
- A. 1
- B. 2
- C. 3
- D. 6
Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
- A. \(\frac{x + 1}{x(1 - x)}\)
- B. \(\frac{3x - 1}{ x(1 - x)}\)
- C. \(\frac{3x - 1}{ x(1 - x)}\)
- D. \(\frac{x + 1}{ x(1 - x)}\)
If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t?
- A. \(\frac{p^2 t}{s^3}\)
- B. \(\frac{p^3 t}{s^3}\)
- C. \(\frac{p^3 t}{s^2}\)
- D. \(\frac{p^ t}{s^3}\)
Two vectors m and n are defined by \(m = 3i + 4j\) and \(n = 2i - j\). Find the angle between m and n.
- A. 97.9°
- B. 79.7°
- C. 63.4°
- D. 36.4°
Find the value of p if \(\frac{1}{4}\)p + 3q = 10 and 2p - q = 7
- A. 4
- B. 3
- C. -3
- D. -4
Simplify \(\frac{\sqrt{1 + x} + \sqrt{x}}{\sqrt{1 + x} - \sqrt{x}}\)
- A. -2x - 2\(\sqrt{x (1 + x)}\)
- B. 1 + 2x + 2\(\sqrt{x (1 + x)}\)
- C. \(\sqrt{x (1 + x)}\)
- D. 1 + 2x - 2\(\sqrt{x (1 + x)}\)