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