The table below gives the distribution of marks obtained by a number of pupils in a class test.
The mode of the distribution is
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(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
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(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?
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(D)
49
5
Interprete the inequality represented on the number line
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(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?
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(A)
N5.00
7
Simplify \(\frac{4}{a-3}-\frac{1}{a+2}\)
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(D)
\(\frac{3a+11}{(a-3)(a+2)}\)
8
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
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(C)
6
9
In the diagram, PQ/RT /RS/ =/QS/, ∠QST= 70o and ∠PQW = 55o
Find the size of reflex ∠WQS
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(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
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(C)
12cm
15
PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?
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(C)
105o
16
In the diagram, ZM is a straight line. Calculate the value of x.
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(C)
35o
17
Find the value of x in the equation 3x\(^2\) - 8x - 3 = 0
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(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.
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(B)
4.3
19
Given, that \(4P4_5 = 119_{10}\), find the value of P
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(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?
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(C)
4.792m
21
What is the size of angle x in the diagram
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(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
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(B)
80
23
Calculate the value of y in the diagram
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(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
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(A)
\(\frac{3}{5}\)
25
Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
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(A)
5 or \( \frac{3}{2} \)
26
In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm} Find P\hat{S}Q\)
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(C)
55o
27
Evaluate \((111_{two})^2 - (101_{two})^2\)
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(D)
11000two
28
Given that x ≅ 0.0102 correct to 3 significant figures, which of the following cannot be the actual value of x?
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(A)
0.01014
29
If \(\frac{3^{(1-n)}}{9^{-2n}}\) = \(\frac{1}{9}\) find n
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(C)
-1
30
Which of the following is/are not the interior angle(s) of a regular polygon? I.108° II. 116° III. 120°
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(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
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(B)
4√3
32
If \(P = \sqrt{QR\left(1+\frac{3t}{R}\right)}\), make R the subject of the formula.
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(D)
\(R = \frac{P^2-3Qt}{Q}\)
33
From the Venn diagram below, how many elements are in P∩Q?
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(B)
2
34
From the Venn Diagram below, find Q' ∩ R.
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(C)
(c, g, h)
35
The square root of a number is 2k. What is half of the number
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(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?
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(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
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(C)
1-(x+y)+xy
38
The locus of points equidistant from two intersecting straight lines PQ and PR is
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(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
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(D)
3x2-7x-6=0
40
Evaluate Cos 45o Cos 30o - Sin 45o Sin 30o leaving the answer in surd form
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(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?
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(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,
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(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
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(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
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(C)
N700.00
45
The bearing of P from Q is x, where 270o < x < 360o. Find the bearing of Q from P
