In a particular year, the exchange rate of naira (N) varies directly with the Dollars{$}. If N1122 is equivalent to $8, find the Naira equivalent of $36
Answer
(B)
N5049
3
If log 2 = x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log (\(\frac{28}{3}\))
Answer
(B)
2x + z - y
4
Arrange the following numbers in descending orders of magnitude: 22three, 34five, 21six
Answer
(D)
34five, 21six, 22three
5
Find the value to which N3000.00 will amount in 5 years at 6% per annum simple interest
Answer
(A)
N3,900.00
6
Express the square root of 0.000144 in the standard form
Answer
(C)
1.2 x 10-2
7
Two sets are disjoint if
Answer
(C)
their intersection is an empty set
8
If \(\frac{3}{2x} - \frac{2}{3x} = 4\), solve for x
Answer
(C)
\(\frac{5}{24}\)
9
If (2x + 3)3 = 125, find the value of x
Answer
(A)
1
10
Factorize x2 - 2x - 3xy completely
Answer
(B)
(x - 3y)(x - 2)
11
The diameter of a bicycle wheel is 42cm. If the wheel makes 16 complete revolution, what will be the total distance covered by the wheel? [Take \(\pi \frac{22}{7}\)
Answer
(C)
2112cm
12
The interior angles of a pentagon are (2x + 5)o, (x + 20)o, xo, (3x - 20)o and (x + 15)o. Find the value of x
Answer
(C)
65o
13
If M and N are two fixed points in a plane. Find the locus L = [P : PM = PN]
Answer
(C)
Perpendicular bisector of MN
14
Given that sin 60o = \(\frac{\sqrt{3}}{2}\) and cos 60o = \(\frac{1}{2}\), evaluate \(\frac{1 - sin 60^o}{1 + cos 60^o}\)
Answer
(D)
\(\frac{2 - \sqrt{3}}{3}\)
15
In an examination, Kofi scored x% in Physics, 50% in Chemistry and 70% in Biology. If his mean score for the three subjects was 55%, find x
Answer
(B)
45
16
What is the median of the following scores: 22 35 41 63 74 82
Answer
(B)
52
17
Express 2.7864 x 10-3 to 2 significant figures
Answer
(C)
0.0028
18
If 92x = \(\frac{1}{3}\)(27x), find x
Answer
(C)
-1
19
If 85% of x is N3230, what is the value of x?
Answer
(C)
N3800.00
20
The capacity of a water tank is 1,800 litres. If the tank is in form of a cuboid with base 600cm by 150 cm. Find the height of the tank
Answer
(B)
20cm
21
An arc of a circle subtends an angle of 60o at the centre. If the radius of the circle is 3cm, find , in terms of \(\pi\), the length of the arc
Answer
(A)
\(\pi\)cm
22
solve \(\frac{2x + 1}{6} - \frac{3x - 1}{4}\) = 0
Answer
(A)
1
23
If a positive integer, list the values of x which satisfy the equation 3x - 4 < 6 and x - 1 > 0
Answer
(B)
{2, 3}
24
If c and k are the roots of 6 - x - x2 = 0, find c + k
Answer
(C)
-1
25
Each of the interior angles of a regular polygon is 140o. Calculate the sum of all the interior angles of the polygon
Answer
(B)
1260o
26
A bucket holds 10 litres of water. How many buckets of water will fill a reservoir of size 8m x 7m x 5m.(1 litre = 1000cm3)`
Answer
(D)
28000
27
A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability of picking a white ball at random is \(\frac{2}{5}\). If there are 30 balls in the box, how many of them are red?
The angles of triangle are (x + 10)o, (2x - 40)o and (3x - 90)o. Which of the following accurately describes the triangle?
Answer
(C)
t is an equilateral triangle
30
Simplify (x - 3y)2 - (x + 3y)2
Answer
(C)
-12xy
31
Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3
Answer
(C)
2x2 - 5x - 3 = 0
32
The following is the graph of a quadratic friction, find the co-ordinates of point P
Answer
(A)
(0, 4)
33
The following is the graph of a quadratic friction, find the value of x when y = 0
Answer
(B)
1, 4
34
PQRS is a trapezuim. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate the perpendicular distance between the parallel sides
Answer
(A)
3.35cm
35
PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate, correct to the nearest cm2, the area of the trapezium (h = 3.35cm2 )
Answer
(A)
27cm2
36
In the diagram, /TP/ = 12cm and it is 6cm from O, the centre of the circle, Calculate < TOP
Answer
(B)
90o
37
In the diagram, IG is parallel to JE, JEF = 120o and FHG = 130o, fins the angle marked t
Answer
(B)
70o
38
Find the value of x in the diagram
Answer
(D)
17o
39
In the diagram, \SQ\ = 4cm, \PT\ = 7cm. /TR/ = 5cm and ST//OR. If /SP/ = xcm, find the value of x
Answer
(A)
5.6
40
Using the diagram, find the bearing of X from Y
Answer
(B)
240o
41
If /XY/ = 50m, how far cast of X is Y?
Answer
(D)
43.3m
42
in the diagram, angle 20º is subtended at the centre of the circle, find the value of x
Answer
(B)
50o
43
The pie chart shows the distribution of 4320 students who graduated from four departments in a university. How many students graduated from the science department?
Answer
(B)
864
44
The pie chart shows the distribution of 4320 students who graduated from four departments in a university. If a student is picked at random from the four departments, what id the probability that he is not from the education department?
Answer
(D)
\(\frac{7}{10}\)
45
From the diagram which of the following statements are correct? i. XQ is a radius of a circle centre Q. ii. /XQ/ = /QY/. iii. /QX/ = /XY/
