Given that y = 1 - \(\frac{2x}{4x - 3}\), find the value of x for which y is undefined
Answer
(B)
\(\frac{3}{4}\)
6
P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is
Answer
(C)
a circle with centre A
7
A fair coin is tossed three times. Find the probability of getting two heads and one tail.
Answer
(B)
\(\frac{3}{8}\)
8
If 30% of y is equal to x, what in terms of x, is 30% of 3y?
Answer
(D)
3x
9
A baker used 40% of a 50kg bag of flour. If \(\frac{1}{8}\) of the amount used was for the cake, how many kilogram of flour was used for the cake?
Answer
(A)
2\(\frac{1}{2}\)
10
If tan y = 0.404, where y is acute, find cos 2y
Answer
(B)
0.719
11
The ratio of boys to girls in a class is 5:3. Find the probability of selecting at random, a girl from the class
Answer
(C)
\(\frac{3}{8}\)
12
\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table above satisfies the relation y = k\(\sqrt{x}\), where k is a positive constant. Find the value of K.
Answer
(A)
0.5
13
\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table below satisfies the relation y = k\(\sqrt{x}\), where k is a positive constant. Find the value of P,
Answer
(D)
25
14
What must be added to x2 - 3x to make it a perfect square?
Answer
(A)
\(\frac{9}{4}\)
15
Given that (2x - 1)(x + 5) = 2x2 - mx - 5, what is the value of m
Answer
(C)
-9
16
What is the place value of 9 in the number 3.0492?
Answer
(B)
\(\frac{9}{1000}\)
17
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) years is N123, find the principal.
Answer
(C)
N1,640
18
A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?
Answer
(A)
N16,200
19
If 2x + y = 10, and y \(\neq\) 0, which of the following is not a possible value of x?
Answer
(B)
5
20
If x + y = 12 and 3x - y = 20, find the value of 2x - y
Answer
(C)
12
21
Which of these equations best describes the points of intersection of the curve and the line?
Answer
(C)
x2 + x - 6 = 0
22
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
Answer
(A)
3
23
a conical water-jug is 7cm in diameter and 6cm deep. find the volume of water it can hold. [Take \(\pi = \frac{22}{7}\)]
Answer
(C)
77cm3
24
If p = [\(\frac{Q(R - T)}{15}\)]\(^ \frac{1}{3}\), make T the subject of the relation
Answer
(B)
T = R - \(\frac{15P^3}{Q}\)
25
A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price
Answer
(D)
4:5
26
The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take \(\pi = \frac{22}{7}\)]
Answer
(D)
440m
27
If p = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the elements of P1 \(\cap\) Q1?
Answer
(C)
\(\varnothing\)
28
The values of three angles at a point are 3y - 45o, y + 25o and yo . Find the value of y.
Answer
(D)
76o
29
A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangular floor. Calculate the area of the floor
Answer
(C)
120m2
30
Which of the following is not a measure of centre tendency?
Answer
(C)
range
31
The temperature in a chemical plant was -5oC at 2.00 am. The temperature fell by 6oC and then rose again by 7oC. What was the final temperature?
Answer
(B)
-4oC
32
Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)
Answer
(A)
\(\frac{5\sqrt{7}}{7}\)
33
A ladder 16m long leans against an electric pole. If the ladder makes an angle of 65o with the ground, how far up the electric pole does its top reach
Answer
(B)
14.5m
34
In the diagram, PQUV, PQTU, QRTU and QRST are parallelograms. |UV| = 4.8cm and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV
Answer
(C)
60cm2
35
In the diagram, |QR| = 5cm, PQR = 60o and PSR = 45o. Find |PS|, leaving your answe in surd form.
Answer
(D)
5\(\sqrt{6}\)cm
36
In the diagram, \(\frac{PQ}{RS}\), find xo + yo
Answer
(D)
180o
37
In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 58o. Find < QRS
Answer
(C)
122o
38
In the diagram P, Q, R, S are points on the circle RQS = 30o. PRS = 50o and PSQ = 20o. What is the value of xo + yo?
Answer
(B)
130o
39
In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110o and the bearing of Q from P is 050o. Find angle PQR.
Answer
(C)
120o
40
In the diagram, the two circles have a common centre O. If the area of the larger circle is 100\(\pi\) and that of the smaller circle is 49\(\pi\), find x
Answer
(B)
3
41
In the diagram, PQR is a straight line, QRST is a parallelogram, < TPQ = 72o and < RST = 126o. What type of triangle is \(\bigtriangleup\) PQT?
Answer
(C)
An isosceles triangle
42
How many pupils took the test?
Answer
(D)
40
43
If the pass mark was 4. What percentage of the pupils failed the test?
Answer
(A)
20.0%
44
The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]
