In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate
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(B)
1.0%
2
Simplify 1¼ ÷ (2 ÷ ¼ of 28)
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(C)
4 \( \frac{3}{8}\)
3
Factorize x2 + 9x + 20
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(B)
(x + 5)(x + 4)
4
If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?
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(C)
N40,000
5
X and Y are two sets such that n(X) = 15, n(Y) = 12 and n{X ∩ Y} = 7. Find ∩{X ∪ Y}
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(D)
20
6
Find the x and z intercepts of the graph of 3x - z \(\leq\) 9
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(A)
(3, -9)
7
Simplify log101.5 + 3 log102 − log100.3
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(B)
log1040
8
Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)
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(E)
\(377.0cm^{2}\)
9
If x + y = 90 simplify \((sinx + siny)^2\)−2sinxsiny
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(A)
1
10
A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much income tax expenses does he pay each year?
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(C)
70
11
Solve the equation \( 3x^2 − 4x − 5 = 0 \)
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(B)
x = 2.12 or − 0.79
12
The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms
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(C)
nth = 5
13
Find the equation of a line which is form origin and passes through the point (−3, −4)
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(B)
y = \( \frac{4x}{3} \)
14
The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100)\(^n\). Find A, if P = 126, r = 4 and n = 2.
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(B)
N136.30K
15
Make x the subject of the equation
s = 2 + \(\frac{t}{5} \)(x + ⅗y)
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(A)
x = 5[(s − 2) ÷ t] - 3/5y
16
If log520 = x, find x
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(C)
1.861
17
Find at which rate per annum simple interest N525 will amount to N588 in 3 years.
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(D)
4%
18
Given that A = {1, 5, 7}
B = {3, 9, 12, 15}
C = {2, 4, 6, 8}
Find (A ∪ B) ∪ C
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(A)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}
19
The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.
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(D)
3
20
Factorize \( x^2 − 2x − 15 \)
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(D)
(x − 5)(x + 3)
21
If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point
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(B)
½ , 2
22
Find the simple interest on N325 in 5years at 3% per annum.
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(A)
N48.75K
23
Simplify (0.09)2 and give your answer correct to 4 significant figures
One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue
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(B)
\( \frac{3}{24} \)
26
Given that A = {3, 4, 1, 10, ⅓ }
B = {4, 3,⅓, ⅓, 7}.
Find A∩B
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(C)
{3, 4, ⅓}
27
Find x if 132x = 70 eight.
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(C)
6
28
A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?
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(B)
N365, 217
29
Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)
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(D)
\( -\frac{3}{2} \)
30
Solve x2 − 2x − 3 = 0
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(B)
x = 3 or -1
31
The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)
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(C)
314cm2
32
The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both
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(C)
\( \frac{9}{15} \)
33
If (159.75)10 = (x)6. Find x
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(B)
x6 = 424.56
34
A man bought a car for N800 and sold it for N520. Find his loss per cent
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(C)
35%
35
Simplify \(6\frac{1}{12} − 2 ¾ + 1 ½ \)
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(B)
\( 4 \frac{5}{6}\)
36
Find the distance between the points (-2,-3) and (-2,4)
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(D)
7.0m
37
Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively
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(A)
1458
38
Given that S and T are sets of real numbers such that S = {x : 0 \(\leq\) x \(\leq\) 5} and T = {x : − 2 < x < 3} Find S \(\cup\) T
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(B)
−2< x < \(\leq\)5
39
If an investor invest N450,000 in a certain organization in order to yield X as a return of N25,000. Find the return on an investment of N700,000 by Y in the same organization.
The area of a circle of radius 4cm is equal to (Take π = 3.142 )
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(C)
50.3cm2
47
The area of an ellipse is 132cm\(^2\).The length of its major axis is 14cm.Find the length of its minor axis
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(D)
12cm
48
The volume of a cone (s) of height 6cm and base radius 5cm is
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(A)
157cm3
49
The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?
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(B)
1/3
50
Given that Z = {1,2,4,5} what is the power of set Z?
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(A)
16
51
Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0
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(B)
x = 2, y = – 1/2
52
Simplify \(\sqrt{30}\) × \(\sqrt{40}\)
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(C)
20 √3
53
If √ (2x + 2) − √x =1 ,find x.
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(A)
x = 1 twice
54
The sum of two numbers is 5; their product is -14. Find the numbers.
How many sides has a regular polygon whose interior angles are 120°each
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(C)
6
57
If duty is levied at 25%, find the duty to be added to a bill of N80.
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(B)
N20
58
Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)
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(D)
7.55
59
A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?
