The bar chart represents the distribution of marks scored by students in an economics examination. Use the bar chart to answer questions 30 to 32
If the failed mark was 4, what is the probability that a student selected at random passed?
- A. 0.36
- B. 0.74
- C. 0.52
- D. 0.64
The truth set of \(8 + 2x – x^2\) = 0 is {p, q}. Evaluate p + q.
- A. 4
- B. 2
- C. -6
- D. -2
A bag contains 4 white marbles and 3 blue marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.
- A. \(\frac{9}{11}\)
- B. \(\frac{18}{77}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{11}{12}\)
A line L passing through the point (6, -13) is parallel to the line which passes through (7, 4) and (-3, 9). Find the equation of the line L.
- A. y = \(\frac{1}{2}x - 10\)
- B. y = \(\frac{-1}{2}x + 10\)
- C. y = \(\frac{-1}{2}x - 10\)
- D. y = \(\frac{1}{2}x +10\)
John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.
- A. S55°E.
- B. S35°W.
- C. N55°E.
- D. N35°W.
A number is chosen at random from 40 and 50 inclusive. Find the probability that the number is prime.
- A. \(\frac{8}{11}\)
- B. \(\frac{3}{11}\)
- C. \(\frac{4}{11}\)
- D. \(\frac{5}{11}\)
Arrange the following in ascending order of magnitude \(110_{two}, 31_{eight}, 42_{five}\)
- A. \(110_{two}, 31_{five}, 42_{eight}\)
- B. \(42_{five}, 110_{two}, 31_{eight}\)
- C. \(42_{five}, 31_{eight}, 110_{two}\)
- D. \(110_{two}, 42_{five}, 31_{eight}\)
An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was poured into the tank. Calculate, correct to the nearest centimeter, the height of the water in the tank. (\(Take \pi = \frac{22}{7})\)
- A. 91cm
- B. 7cm
- C. 13cm
- D. 57cm
make x the subject of the relation \(y = \frac{ax^3 – b}{3z}\)
- A. x = \(\sqrt[3] \frac{ax^3 - b}{3z}\)
- B. x = \(\sqrt[3] \frac{3yz - b}{a}\)
- C. x = \(\sqrt[3] \frac{3yz + b}{a}\)
- D. x = \(\sqrt[3] \frac{3yzb}{a}\)
m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) and n : q = \(1\frac{1}{2} : 1\frac{1}{3}\), find q : m.
- A. 35 : 18
- B. 16 : 35
- C. 18 : 35
- D. 35 : 16
The radius of a sphere is 3 cm. Find, in terms of π, its volume.
- A. \(30\pi cm^3\)
- B. \(108\pi cm^3\)
- C. \(27\pi cm^3\)
- D. \(36\pi cm^3\)
Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°
- A. 15
- B. 17
- C. 14
- D. 21
The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take \(\pi = \frac{22}{7})\)
- A. \(1,106.29cm^2\)
- B. \(1,016.29cm^2\)
- C. \(1,106.89cm^2\)
- D. \(1,206.27cm^2\)
A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find correct to two d.p the actual height of the pole.
- A. 6.29m
- B. 7.67m
- C. 7.18m
- D. 6.65m
Find the roots of the equations: \(3m^2 – 2m – 65 = 0\)
- A. \(( -5, \frac{-13}{3})\)
- B. \(( 5, \frac{-13}{3})\)
- C. \(( 5, \frac{13}{3})\)
- D. \(( -5, \frac{13}{3})\)
If \(log_a 3\) = m and \(log_a 5\) = p, find \(log_a 75\)
- A. \(m^2 + p \)
- B. 2m + p
- C. m + 2p
- D. \(m + p^2\)
Solve \(2^{5x} \div 2^x = \sqrt[5]{2^{10}}\)
- A. \(\frac{3}{2}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{5}{3}\)
The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.
- A. 12
- B. 15
- C. 10
- D. 14
Evaluate, correct to three decimal place \(\frac{4.314 × 0.000056}{0.0067}\)
- A. 0.037
- B. 0.004
- C. 0.361
- D. 0.036
Express \(413_7\) to base 5
- A. \(2311_5\)
- B. \(1131_5\)
- C. \(1311_5\)
- D. \(2132_5\)
For what value of x is \(\frac{ x^2 + 2 }{ 10x^2 – 13x – 3}\) is undefined?.
- A. \(\frac{1}{5}, \frac{3}{2}\)
- B. \(\frac{-1}{5}, \frac{3}{2}\)
- C. \(\frac{1}{5}, \frac{-3}{2}\)
- D. \(\frac{-1}{5}, \frac{-3}{2}\)