Given that y = 1 - \(\frac{2x}{4x - 3}\), find the value of x for which y is undefined
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(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
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(C)
a circle with centre A
7
A fair coin is tossed three times. Find the probability of getting two heads and one tail.
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(B)
\(\frac{3}{8}\)
8
If 30% of y is equal to x, what in terms of x, is 30% of 3y?
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(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?
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(A)
2\(\frac{1}{2}\)
10
If tan y = 0.404, where y is acute, find cos 2y
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(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
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(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.
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(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,
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(D)
25
14
What must be added to x2 - 3x to make it a perfect square?
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(A)
\(\frac{9}{4}\)
15
Given that (2x - 1)(x + 5) = 2x2 - mx - 5, what is the value of m
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(C)
-9
16
What is the place value of 9 in the number 3.0492?
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(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.
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(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?
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(A)
N16,200
19
If 2x + y = 10, and y \(\neq\) 0, which of the following is not a possible value of x?
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(B)
5
20
If x + y = 12 and 3x - y = 20, find the value of 2x - y
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(C)
12
21
Which of these equations best describes the points of intersection of the curve and the line?
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(C)
x2 + x - 6 = 0
22
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
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(A)
3
23
a conical water-jug is 7cm in diameter and 6cm deep. find the volume of water it can hold. [Take \(\pi = \frac{22}{7}\)]
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(C)
77cm3
24
If p = [\(\frac{Q(R - T)}{15}\)]\(^ \frac{1}{3}\), make T the subject of the relation
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(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
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(D)
4:5
26
The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take \(\pi = \frac{22}{7}\)]
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(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?
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(C)
\(\varnothing\)
28
The values of three angles at a point are 3y - 45o, y + 25o and yo . Find the value of y.
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(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
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(C)
120m2
30
Which of the following is not a measure of centre tendency?
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(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?
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(B)
-4oC
32
Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)
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(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
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(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
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(C)
60cm2
35
In the diagram, |QR| = 5cm, PQR = 60o and PSR = 45o. Find |PS|, leaving your answe in surd form.
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(D)
5\(\sqrt{6}\)cm
36
In the diagram, \(\frac{PQ}{RS}\), find xo + yo
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(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
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(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?
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(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.
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(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
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(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?
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(C)
An isosceles triangle
42
How many pupils took the test?
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(D)
40
43
If the pass mark was 4. What percentage of the pupils failed the test?
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(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 \(\pi = \frac{22}{7}\)]
