In the diagram, PQR is straight line, ( m + n) = 120o and ( n + r) = 100o. Find (m + r).
- A. 110o
- B. 120o
- C. 140o
- D. 160o
In the diagram, the value of x + y = 220o. Find the value of n
- A. 20o
- B. 40o
- C. 60o
- D. 80o
The bar chart shows the scores of some students in a test. If one students is selected at random, find the probability that he/she scored at most 2 marks
- A. \(\frac{11}{18}\)
- B. \(\frac{11}{20}\)
- C. \(\frac{7}{22}\)
- D. \(\frac{5}{19}\)
The bar chart shows the scores of some students in a test. How many students took the test?
- A. 18
- B. 19
- C. 20
- D. 22
The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, what would be the height of the same quantity of water in Q?
- A. 2.5cm
- B. 5.0cm
- C. 7.5cm
- D. 20.0cm
In what modulus is it true that 9 + 8 = 5?
- A. mod 10
- B. mod 11
- C. mod 12
- D. mod 13
Find the number of term in the Arithmetic Progression(A.P) 2, -9, -20,…-141.
- A. 11
- B. 12
- C. 13
- D. 14
Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
- A. 540o
- B. 720o
- C. 1080o
- D. 1800o
The probability of an event P happening is \(\frac{1}{5}\) and that of event Q is \(\frac{1}{4}\). If the events are independent, what is the probability that neither of them happens?
- A. \(\frac{4}{5}\)
- B. \(\frac{3}{4}\)
- C. \(\frac{3}{5}\)
- D. \(\frac{1}{20}\)
If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)
- A. \(\overline{4}\).1986
- B. \(\overline{2}\).9250
- C. \(\overline{1}\).5917
- D. \(\overline{1}\).075
If a number is selected at random from each of the sets p = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime
- A. \(\frac{5}{9}\)
- B. 1\(\frac{4}{9}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{2}{9}\)
In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?
- A. 15%
- B. 35%
- C. 65%
- D. 85%
In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?
- A. \(\frac{1}{4}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{2}{3}\)
- D. \(\frac{3}{4}\)
A chord subtends an angle of 120o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord, [Take \(\pi = \frac{22}{7}\)]
- A. 14\(\frac{1}{3}\)cm
- B. 12\(\frac{5}{6}\)cm
- C. 8\(\frac{1}{7}\)cm
- D. 7\(\frac{1}{3}\)cm
A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.
- A. 33o
- B. 32o
- C. 27o
- D. 26o
Subtract \(\frac{1}{2}\)(a – b – c) from the sum of \(\frac{1}{2}\)(a – b + c) and \(\frac{1}{2}\)
(a + b – c)
- A. \(\frac{1}{2}\) (a + b + c)
- B. \(\frac{1}{2}\) (a - b - c)
- C. \(\frac{1}{2}\) (a - b + c)
- D. \(\frac{1}{2}\) (a + b - c)
If \(\frac{2}{x – 3} – \frac{3}{x – 2}\) is equal to \(\frac{p}{(x – 3)(x – 2)}\), find p
- A. -x - 5
- B. -(x + 3)
- C. 5x - 13
- D. 5 - x
Simplify \(\sqrt{\frac{8^2 \times 4^{n + 1}}{2^{2n} \times 16}}\)
- A. 16
- B. 8
- C. 4
- D. 1
approximate 0.0033780 to 3 significant figures
- A. 338
- B. 0.338
- C. 0.00338
- D. 0.003
Given that cos x = \(\frac{12}{13}\), evaluate \(\frac{1 – \tan x}{\tan x}\)
- A. \(\frac{5}{13}\)
- B. \(\frac{5}{7}\)
- C. \(\frac{7}{5}\)
- D. \(\frac{13}{5}\)
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z
- A. 8
- B. 10
- C. 15
- D. 20