The table below gives the distribution of marks obtained by a number of pupils in a class test.
The mode of the distribution is
Answer
(A)
3
3
The table below gives the distribution of marks obtained by a number of pupils in a class test.
Find the median of the distribution
Answer
(C)
3
4
The table below gives the distribution of marks obtained by a number of pupils in a class test.
How many pupils scored at least 2 marks?
Answer
(D)
49
5
Interprete the inequality represented on the number line
Answer
(A)
-4< X ≤ 5
6
A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for
N30. What is the cost of a pen?
Answer
(A)
N5.00
7
Simplify \(\frac{4}{a-3}-\frac{1}{a+2}\)
Answer
(D)
\(\frac{3a+11}{(a-3)(a+2)}\)
8
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
Answer
(C)
6
9
In the diagram, PQ/RT /RS/ =/QS/, ∠QST= 70o and ∠PQW = 55o
Find the size of reflex ∠WQS
Answer
(A)
235o
10
Three men, Bedu, Bakre and Kofi shared' N500 in the ratio 3:2: x respectively. If Bedu’s share is N150, find the value of x.
A pyramid of volume 120cm3 has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid
Answer
(C)
12cm
15
PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?
Answer
(C)
105o
16
In the diagram, ZM is a straight line. Calculate the value of x.
Answer
(C)
35o
17
Find the value of x in the equation 3x\(^2\) - 8x - 3 = 0
Answer
(C)
\(-\frac{1}{3},3\)
18
In\( ∆ PQR, P\hat{Q}P = 84^°, |Q\hat{P}R |= 43^°\) and |PQ| = 5cm. Find /QR/ in cm, correct to 1 decimal place.
Answer
(B)
4.3
19
Given, that \(4P4_5 = 119_{10}\), find the value of P
Answer
(C)
3
20
A ladder, 6m long, leans against a vertical wall at an angle 53o to the horizontal. How high up the wall does the ladder reach?
Answer
(C)
4.792m
21
What is the size of angle x in the diagram
Answer
(B)
30o
22
The four interior angles of a quadrilateral are (x + 20) o, (x+ 10) o (2x - 45) o and (x - 25) o. Find the value of x
Answer
(B)
80
23
Calculate the value of y in the diagram
Answer
(A)
17
24
Out of 60 members of an Association, 15 are Doctors and 9 are Lawyers. If a member is selected at random from the Association, what is the probability that the member is neither a Doctor Nor a Lawyer
Answer
(A)
\(\frac{3}{5}\)
25
Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
Answer
(A)
5 or \( \frac{3}{2} \)
26
In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm} Find P\hat{S}Q\)
Answer
(C)
55o
27
Evaluate \((111_{two})^2 - (101_{two})^2\)
Answer
(D)
11000two
28
Given that x ≅ 0.0102 correct to 3 significant figures, which of the following cannot be the actual value of x?
Answer
(A)
0.01014
29
If \(\frac{3^{(1-n)}}{9^{-2n}}\) = \(\frac{1}{9}\) find n
Answer
(C)
-1
30
Which of the following is/are not the interior angle(s) of a regular polygon? I.108° II. 116° III. 120°
Answer
(B)
II only
31
In a ∆ XYZ, /YZ/ = 6cm YXZ = 60o and XYZ is a right angle. Calculate /XZ/in cm, leaving your answer in surd form
Answer
(B)
4√3
32
If \(P = \sqrt{QR\left(1+\frac{3t}{R}\right)}\), make R the subject of the formula.
Answer
(D)
\(R = \frac{P^2-3Qt}{Q}\)
33
From the Venn diagram below, how many elements are in P∩Q?
Answer
(B)
2
34
From the Venn Diagram below, find Q' ∩ R.
Answer
(C)
(c, g, h)
35
The square root of a number is 2k. What is half of the number
Answer
(D)
2k2
36
Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?
Answer
(D)
p varies inversely as r
37
The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests
Answer
(C)
1-(x+y)+xy
38
The locus of points equidistant from two intersecting straight lines PQ and PR is
Answer
(C)
the point of intersection of the perpendicular bisectors of PQ and PR
39
Find the equation whose roots are \(-\frac{2}{3}\) and 3
Answer
(D)
3x2-7x-6=0
40
Evaluate Cos 45o Cos 30o - Sin 45o Sin 30o leaving the answer in surd form
Answer
(D)
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
41
In constructing an angle, Olu draws line OX. With centre O and a convenient radius, he draws an arc intersecting OX at P. With centre P and the same radius, he draws an arc intersecting the first arc at Q and finally joins OQ. What is the size of angle POQ so constructed?
Answer
(C)
60o
42
In the diagram /PS/ = 9 cm, /OR/ = 5cm, \(P\hat{S}R = 63^o\) and \(S\hat{P}Q = P\hat{Q}R = 90^o\). Find, correct to the nearest whole number, the area of the trapezium,
Answer
(A)
55cm2
43
A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h
Answer
(D)
\(\frac{4}{3}\pi h^3\)
44
A man made a loss of 15% by selling an article for N595. Find the cost price of the article
Answer
(C)
N700.00
45
The bearing of P from Q is x, where 270o < x < 360o. Find the bearing of Q from P
