The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.
- A. \(\frac{9}{25}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{6}{25}\)
- D. \(\frac{2}{5}\)
The mean of 1, 3, 5, 7 and x is 4. Find the value of x
- A. 2
- B. 4
- C. 6
- D. 8
The equation of the line through the points (4,2) and (-8, -2) is 3y = px + q, where p and q are constants. Find the value of p.
- A. 1
- B. 2
- C. 3
- D. 9
If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|
- A. 8 units
- B. 11 units
- C. 15 units
- D. 17 units
The angles of a polygon are x, 2x, 2x, (x + \(30^o\)), (x + \(20^o\)) and (x – \(10^o\)). Find the value of x
- A. \(45^o\)
- B. \(95^o\)
- C. \(84^o\)
- D. \(85^o\)
The surface area of a sphere is \(\frac{792}{7} cm^2\). Find, correct to the nearest whole number, its volume. [Take \(\pi = \frac{22}{7}\)]
- A. 113\(cm^3\)
- B. 131\(cm^3\)
- C. 311\(cm^3\)
- D. 414\(cm^3\)
The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]
- A. 14m
- B. 10m
- C. 7m
- D. 5m
A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
- A. y = \(x^2 - 5x - 6\)
- B. y = \(x^2 + 5x - 6\)
- C. y = \(x^2 + x - 6\)
- D. y = \(x^2 - x - 6\)
Simplify; \(\frac{2 – 18m^2}{1 + 3m}\)
- A. \(2 (1 + 3m)\)
- B. \(2 (1 + 3m^2)\)
- C. \(2(1 - 3m)\)
- D. \(2(1 - 3m^2)\)
If x : y : z = 3 : 3 : 4, evaluate \(\frac{9x + 3y}{6z – 2y}\)
- A. 1\(\frac{1}{2}\)
- B. 2
- C. 2\(\frac{1}{2}\)
- D. 3
If y + 2x = 4 and y – 3x = -1, find the value of (x + y)
- A. 3
- B. 2
- C. 1
- D. -1
If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6
- A. 30
- B. 37
- C. 39
- D. 41
If \(\log_{10}\)(6x – 4) – \(\log_{10}\)2 = 1, solve for x.
- A. 2
- B. 3
- C. 4
- D. 5
There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?
- A. 40.0%
- B. 42.2%
- C. 50.0%
- D. 52.5%
Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)
- A. \(\frac{5}{9}\)
- B. 1\(\frac{1}{5}\)
- C. 1\(\frac{1}{4}\)
- D. 1\(\frac{4}{5}\)
Find the value of x for which \(32_{four} = 22_x\)
- A. three
- B. five
- C. six
- D. seven
Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.
- A. \(yx^2 = 300\)
- B. \(yx^2 = 900\)
- C. y = \(\frac{100x}{9}\)
- D. \(y = 900x^2\)
Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)
- A. 121
- B. 144
- C. 169
- D. 196
Simplify: \(\sqrt{108} + \sqrt{125} – \sqrt{75}\)
- A. \(\sqrt{3} + 5\sqrt{5}\)
- B. \(6 \sqrt{3} - 5 \sqrt{5}\)
- C. \(6 \sqrt{3} + \sqrt{2}\)
- D. \(6\sqrt{3} - \sqrt{2}\)
Add 54 \(_{eight}\) and 67\(_{eight}\) giving your answers in base eight
- A. 111
- B. 121
- C. 123
- D. 143
From a point R, 300m north of P, a man walks eastwards to a place; Q which is 600m from P. Find the bearing of P from Q correct to the nearest degree
- A. 026\(^o\)
- B. 045\(^o\)
- C. 210\(^o\)
- D. 240\(^o\)