Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12…
- A. 2\(^n\) x 3(n + 1)
- B. 2\(^n\) x 3n
- C. 2\(^n\) x 3\(^n\)
- D. 2\(^n\) x 3\(^n - 1\)
Factorise completely the expression
\((x + 2)^2\) – \((2x + 1)^2\)
- A. (3x + 2)(1 - x)
- B. (3x + 2)(2x + 1)
- C. 3\((x + 2)^2\)
- D. 3(x + 1)(1 - x)
Solved the equation \(2x^2 – x – 6\) = 0
- A. x = \(\frac{-3}{2}\) or 2
- B. x = -2 or \(\frac{3}{2}\)
- C. x = -3 or 2
- D. x = 3 or -2
Find the value of x for which \(\frac{x – 5}{x(x – 1)}\) is undefined.
- A. 0 or 5
- B. -5 or 5
- C. -11 or 5
- D. 0 or 1
The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.
- A. 5.0 cm
- B. 7.0 cm
- C. 8.5 cm
- D. 12.0 cm
The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.
- A. \(\frac{3}{25}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{6}{25}\)
- D. \(\frac{2}{5}\)
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\(\frac{4}{5}\)