The volume of a cube is 512cm3. Find the length of its side
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(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
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(B)
\(\frac{11}{20}\)
5
Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
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(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
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(C)
i and iii
7
Three quarters of a number added to two and a half of the number gives 13. Find the number
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(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)
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(C)
{0, 6)
9
Find the truth set of the equation x2 = 3(2x + 9)
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(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.
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(D)
2\(sqrt{5}\)
11
Make u the subject of formula, E = \(\frac{m}{2g}\)(v2 - u2)
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(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?
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(B)
x \(\alpha \frac{1}{z}\)
13
Find the gradient of the line joining the points (2, -3) and 2, 5)
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(D)
undefined
14
If (x - a) is a factor pf bx - ax + x2, find the other factor.
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(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.
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(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 \(\pi = \frac{22}{7}\)]
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(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
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(B)
1.2cm
18
Which of the following is a measure of dispersion?
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(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.
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(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?
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(D)
9
21
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z
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(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
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(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)
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(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.
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(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 \(\pi = \frac{22}{7}\)]
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(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?
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(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?
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(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
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(C)
\(\frac{1}{3}\)
32
If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)
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(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?
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(C)
\(\frac{3}{5}\)
34
Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
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(D)
1800o
35
Find the number of term in the Arithmetic Progression(A.P) 2, -9, -20,...-141.
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(D)
14
36
In what modulus is it true that 9 + 8 = 5?
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(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?
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(A)
2.5cm
38
The bar chart shows the scores of some students in a test. How many students took the test?
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(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
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(B)
\(\frac{11}{20}\)
40
In the diagram, the value of x + y = 220o. Find the value of n
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(B)
40o
41
In the diagram, PQR is straight line, ( m + n) = 120o and ( n + r) = 100o. Find (m + r).
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(C)
140o
42
In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r)
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(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
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(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
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(B)
25
45
The graph given is for the relation y = 2x\(^2\) + x - 1. What are the coordinates of the point S?
