In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
Answer
(D)
20
2
Find the values of x for which
\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4
Answer
(B)
x > -6
3
The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?
Answer
(B)
2000
4
A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
Answer
(C)
5
5
If y = 23\(_{five}\) + 101\(_{three}\) , find y, leaving your answer in base two
Answer
(B)
10111
6
Find the value of x in the diagram
Answer
(D)
40°
7
Solve for t in the equation \(\frac{3}{4}\)t + \(\frac{1}{3}\)(21 - t) = 11
Answer
(D)
9\(\frac{3}{5}\)
8
A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?
Answer
(C)
\(\frac{5}{12}\)
9
If \(\frac{x}{a + 1}\) + \(\frac{y}{b}\) = 1. Make y the subject of the relation.
Answer
(A)
\(\frac{b(a + 1 - x)}{a + 1}\)
10
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
Answer
(B)
592cm\(^2\)
11
Convert 0.04945 to two significant figures
Answer
(B)
0.049
12
The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.
Answer
(A)
\(\frac {1}{10}\)
13
An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = \(\frac{22}{7}\))
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store
Answer
(B)
N2,400.00
27
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.
Answer
(A)
\(\frac{15}{17}\)
28
Divide the L.C.M of 48, 64 and 80 by their H.C.F
Answer
(D)
60
29
Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12
Answer
(B)
7x + 5y = 70
30
A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.
Answer
(C)
N720.00
31
A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.
Answer
(B)
43cm
32
Integrate the expression 6x\(^2\) - 2x + 1
Answer
(B)
2x\(^3\) - x\(^2\) + x + c
33
In how many ways can the letters LEADER be arranged?
Answer
(C)
360
34
In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/
Answer
(C)
16 cm
35
Express 495g as a percentage of 16.5kg
Answer
(A)
3%
36
Evaluate (2√3 - 4) (2√3 + 4)
Answer
(A)
-4
37
Find the equation of the tangent at the point (2, 0) to the curve y = x\(^2\) - 2x
Answer
(A)
y = 2x - 4
38
Use the quadratic equation curve to answer this questions
What is the minimum value of the graph?
Answer
(A)
-5.3
39
Evaluate log\(_2\) 8 – log\(_3\) \(\frac{1}{9}\)
Answer
(D)
5
40
Tanθ is positive and Sinθ is negative. In which quadrant does θ lies
Answer
(B)
Third only
41
The table above shows the frequency of children age x years in a hospital
x
1
2
3
4
5
6
7
8
y
3
4
5
6
7
6
5
4
How many children are in the hospital
Answer
(B)
40
42
The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ε.
Use the figure to answer this question
What is n(A U B)1 ?
Answer
(C)
4
43
What is the loci of a distance 4cm from a given point P?
Answer
(B)
a circle of radius 4cm
44
Given that Sin (5\(_x\) − 28)\(^o\) = Cos(3\(_x\) − 50)\(^o\), o < x < 90\(^o\)
Find the value of x
Answer
(B)
21\(^o\)
45
Find the average of the first four prime numbers greater than 10
Answer
(D)
15
46
What is the modal age?
Answer
(B)
5
47
Convert 0.04945 to two significant figures
Answer
(B)
0.049
48
Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10
Answer
(C)
26
49
Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx
Answer
(D)
3.47
50
Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?
Answer
(C)
\(\frac{1}{4}\)
51
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Answer
(A)
210
52
From a point P, Q is 5km due West and R is12km due South of Q. Find the distance between P and R.
Answer
(C)
13km
53
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two
Answer
(B)
10111
54
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
Answer
(D)
\(\frac{1}{9}\)
55
Which one of the following gives the members of the set A1 n B n C?
Answer
(A)
Φ
56
Calculate the area of an equilateral triangle of side 8cm
