Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)
Answer
(C)
7
4
Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
Answer
(C)
2
5
Find the equation whose roots are 2 and \(-3\frac{1}{2}\)
Answer
(D)
2x2 + 3x - 14 = 0
6
A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x
Answer
(B)
5
7
From a point P, R is 5km due west and 12km due south. Find the distance between P and R
Answer
(C)
13km
8
A fair die is tossed once, what is the probability of obtaining neither 5 or 2
Answer
(B)
\(\frac{2}{3}\)
9
In the diagram, KL//MN, ∠LKP = 30o and ∠NMP = 45o. Find the size of the reflex ∠KPM.
Answer
(A)
285o
10
In the diagram, PR is a diameter, ∠PRQ = (3x-8)o and ∠RPQ = (2y-7)o. s x in terms of y
Answer
(C)
\(x=\frac{105-2y}{3}\)
11
Convert 101101two to a number in base ten
Answer
(C)
45
12
Solve the equation 2\(^7\) = 8\(^{5-x}\)
Answer
(B)
\(\frac{8}{3}\)
13
expand (2x-3y)(x-5y)
Answer
(D)
\(2x^2 - 13xy + 15y^2\)
14
Make f the subject of the relation \(v = u + ft\)
Answer
(A)
\(\frac{v-u}{t}\)
15
The lengths of the adjacent sides of a right - angled triangle are xcm, (x-1)cm. If the length of the hypotenuse is \(\sqrt{13}cm\), find the value of x
Answer
(B)
3
16
The probability that John and James pass an examination are 3/4 and 3/5 respectively, find the probability of both boys failing the examination
Answer
(A)
\(\frac{1}{10}\)
17
In the diagram PQ and MN are straight lines. Find the value of x
Answer
(B)
17o
18
In the diagram, PQRS is a parallelogram and ∠QRT = 30o. Find x
Answer
(D)
150o
19
From a point R, 300m north of P, man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degreeee
Answer
(D)
240o
20
What is the diameter of a circle of area 77cm2 [Take \(\pi = \frac{22}{7}\)]
Answer
(D)
\(7\sqrt{2}cm\)
21
Solve the equation 2x - 3y = 22; 3x + 2y = 7
Answer
(B)
-4
22
Solve the equation \(\frac{2y-1}{3} - \frac{3y-1}{4} = 1\)
Answer
(B)
-13
23
If \(log_9x= 1.5\),find x
Answer
(B)
27
24
A sequence is given by \(2\frac{1}{2}, 5, 7\frac{1}{2}, .....\) if the nth term is 25, find n
Answer
(B)
10
25
Given that the root of an the equation \(2x^2 + (k+2)x+k=0\) is 2, find the value of k
Answer
(A)
-4
26
Find the mean of the numbers 1, 3, 4, 8, 8, 4 and 7
Answer
(B)
5
27
What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? [Take \(\pi = \frac{22}{7}\)]
Answer
(C)
297cm2
28
An arc of a circle of radius 14cm subtends angle 300o at the center. Find the perimeter of the sector formed by the arc
Answer
(C)
101.33cm
29
which of the following statements describes the locus of a point R which moves in a plane such that its equidistant from two intersecting lines?
Answer
(A)
the bisector of the angle formed by the lines
30
P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ξ = {1, 3, 7, 9, 11, 13, 15} find PI ∩ QI
Answer
(C)
{1}
31
A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?
Answer
(A)
35 mins
32
The salary of a man was increased in the ratio 40:47. calculate the percentage increase in the salary
Answer
(C)
17.5%
33
A regular polygon has 9 sides. What is the size of one of its exterior angles?
Answer
(B)
40o
34
Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)
Answer
(D)
\(\frac{8z-9x}{12xyz}\)
35
The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x
Answer
(C)
4
36
For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\) not defined?
Answer
(B)
3, -2
37
What are the roots of the equation?
Answer
(C)
1 and 4
38
What is the equation of the curve?
Answer
(C)
\(y=x^2-5x+4\)
39
In the diagram PQRS is a circle, |PT| = |QT| and ∠QPT = 70o what is the size of ∠PRS?
Answer
(B)
70o
40
The angle of elevation of the top of a cliff 15 meters high from a landmark is 60º. How far is the landmark from the foot of the cliff? Leave your answer in surd form
Answer
(D)
\(5\sqrt{3}m\)
41
XOY is a real sector of a circle center O of radius 3.5cm which subtends an angle of 144o at the center. Calculate, in term of \(\pi\), the area of the sector
Answer
(C)
4.9\(\pi\)cm2
42
A rectangular packet has inner dimension 16cm by 12cm by 6cm. How many cubes of sugar of side 2cm can be neatly packed into the packet?
Answer
(B)
144
43
If y \(\alpha\) x\(^2\) and y = 1\(\frac{1}{4}\) when x = 4, find the value of y when x = \(\frac{1}{2}\)
Answer
(D)
80
44
Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car?
Answer
(D)
87,500
45
The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase
