Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)
Răspuns
(C)
7
4
Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
Răspuns
(C)
2
5
Find the equation whose roots are 2 and \(-3\frac{1}{2}\)
Răspuns
(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
Răspuns
(B)
5
7
From a point P, R is 5km due west and 12km due south. Find the distance between P and R
Răspuns
(C)
13km
8
A fair die is tossed once, what is the probability of obtaining neither 5 or 2
Răspuns
(B)
\(\frac{2}{3}\)
9
In the diagram, KL//MN, ∠LKP = 30o and ∠NMP = 45o. Find the size of the reflex ∠KPM.
Răspuns
(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
Răspuns
(C)
\(x=\frac{105-2y}{3}\)
11
Convert 101101two to a number in base ten
Răspuns
(C)
45
12
Solve the equation 2\(^7\) = 8\(^{5-x}\)
Răspuns
(B)
\(\frac{8}{3}\)
13
expand (2x-3y)(x-5y)
Răspuns
(D)
\(2x^2 - 13xy + 15y^2\)
14
Make f the subject of the relation \(v = u + ft\)
Răspuns
(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
Răspuns
(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
Răspuns
(A)
\(\frac{1}{10}\)
17
In the diagram PQ and MN are straight lines. Find the value of x
Răspuns
(B)
17o
18
In the diagram, PQRS is a parallelogram and ∠QRT = 30o. Find x
Răspuns
(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
Răspuns
(D)
240o
20
What is the diameter of a circle of area 77cm2 [Take \(\pi = \frac{22}{7}\)]
Răspuns
(D)
\(7\sqrt{2}cm\)
21
Solve the equation 2x - 3y = 22; 3x + 2y = 7
Răspuns
(B)
-4
22
Solve the equation \(\frac{2y-1}{3} - \frac{3y-1}{4} = 1\)
Răspuns
(B)
-13
23
If \(log_9x= 1.5\),find x
Răspuns
(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
Răspuns
(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
Răspuns
(A)
-4
26
Find the mean of the numbers 1, 3, 4, 8, 8, 4 and 7
Răspuns
(B)
5
27
What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? [Take \(\pi = \frac{22}{7}\)]
Răspuns
(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
Răspuns
(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?
Răspuns
(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
Răspuns
(C)
{1}
31
A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?
Răspuns
(A)
35 mins
32
The salary of a man was increased in the ratio 40:47. calculate the percentage increase in the salary
Răspuns
(C)
17.5%
33
A regular polygon has 9 sides. What is the size of one of its exterior angles?
Răspuns
(B)
40o
34
Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)
Răspuns
(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
Răspuns
(C)
4
36
For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\) not defined?
Răspuns
(B)
3, -2
37
What are the roots of the equation?
Răspuns
(C)
1 and 4
38
What is the equation of the curve?
Răspuns
(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?
Răspuns
(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
Răspuns
(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
Răspuns
(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?
Răspuns
(B)
144
43
If y \(\alpha\) x\(^2\) and y = 1\(\frac{1}{4}\) when x = 4, find the value of y when x = \(\frac{1}{2}\)
Răspuns
(D)
80
44
Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car?
Răspuns
(D)
87,500
45
The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase
