The volume of a cube is 512cm3. Find the length of its side
Răspuns
(C)
8cm
4
The bar chart above shows the scores of some students in a test. Use it to answer this question
If one student is selected at random, find the probability that he/she scored at most 2 marks
Răspuns
(B)
\(\frac{11}{20}\)
5
Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
Răspuns
(A)
18
6
Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3
Răspuns
(C)
i and iii
7
Three quarters of a number added to two and a half of the number gives 13. Find the number
Răspuns
(A)
4
8
If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)
Răspuns
(C)
{0, 6)
9
Find the truth set of the equation x2 = 3(2x + 9)
Răspuns
(D)
{x : x = -3, x = 9}
10
The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.
Răspuns
(D)
2\(sqrt{5}\)
11
Make u the subject of formula, E = \(\frac{m}{2g}\)(v2 - u2)
Răspuns
(A)
u = \(\sqrt{v^2 - \frac{2Eg}{m}}\)
12
F x varies inversely as y and y varies directly as Z, what is the relationship between x and z?
Răspuns
(B)
x \(\alpha \frac{1}{z}\)
13
Find the gradient of the line joining the points (2, -3) and 2, 5)
Răspuns
(D)
undefined
14
If (x - a) is a factor pf bx - ax + x2, find the other factor.
Răspuns
(A)
(x + b)
15
\(\begin{array}{c|c}height & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 2 & 4 & 5 & 3 & 1
\end{array}\)
The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.
Răspuns
(A)
3.8
16
The area of a sector a circle with diameter 12cm is 66cm2. If the sector is folded to form a cone, calculate the radius of the base of the cone [Take \(\pi = \frac{22}{7}\)]
Răspuns
(B)
3.5cm
17
A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle
Răspuns
(B)
1.2cm
18
Which of the following is a measure of dispersion?
Răspuns
(A)
range
19
A ship sails x km due east to a point E and continues x km due north to F. Find the bearing the bearing of f from the starting point.
Răspuns
(A)
045o
20
A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?
Răspuns
(D)
9
21
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z
Răspuns
(C)
15
22
Given that cos x = \(\frac{12}{13}\), evaluate \(\frac{1 - \tan x}{\tan x}\)
If \(\frac{2}{x - 3} - \frac{3}{x - 2}\) is equal to \(\frac{p}{(x - 3)(x - 2)}\), find p
Răspuns
(D)
5 - x
26
Subtract \(\frac{1}{2}\)(a - b - c) from the sum of \(\frac{1}{2}\)(a - b + c) and \(\frac{1}{2}\)
(a + b - c)
Răspuns
(A)
\(\frac{1}{2}\) (a + b + c)
27
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.
Răspuns
(C)
27o
28
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 \(\pi = \frac{22}{7}\)]
Răspuns
(A)
14\(\frac{1}{3}\)cm
29
In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?
Răspuns
(C)
\(\frac{2}{3}\)
30
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?
Răspuns
(C)
65%
31
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
Răspuns
(C)
\(\frac{1}{3}\)
32
If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)
Răspuns
(D)
\(\overline{1}\).075
33
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?
Răspuns
(C)
\(\frac{3}{5}\)
34
Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
Răspuns
(D)
1800o
35
Find the number of term in the Arithmetic Progression(A.P) 2, -9, -20,...-141.
Răspuns
(D)
14
36
In what modulus is it true that 9 + 8 = 5?
Răspuns
(C)
mod 12
37
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?
Răspuns
(A)
2.5cm
38
The bar chart shows the scores of some students in a test. How many students took the test?
Răspuns
(C)
20
39
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
Răspuns
(B)
\(\frac{11}{20}\)
40
In the diagram, the value of x + y = 220o. Find the value of n
Răspuns
(B)
40o
41
In the diagram, PQR is straight line, ( m + n) = 120o and ( n + r) = 100o. Find (m + r).
Răspuns
(C)
140o
42
In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r)
Răspuns
(C)
140o
43
In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Find the value of x
Răspuns
(B)
45
44
In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Calculate the value of y
Răspuns
(B)
25
45
The graph given is for the relation y = 2x\(^2\) + x - 1. What are the coordinates of the point S?
