In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate
Απάντηση
(B)
1.0%
2
Simplify 1¼ ÷ (2 ÷ ¼ of 28)
Απάντηση
(C)
4 \( \frac{3}{8}\)
3
Factorize x2 + 9x + 20
Απάντηση
(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?
Απάντηση
(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}
Απάντηση
(D)
20
6
Find the x and z intercepts of the graph of 3x - z \(\leq\) 9
Απάντηση
(A)
(3, -9)
7
Simplify log101.5 + 3 log102 − log100.3
Απάντηση
(B)
log1040
8
Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)
Απάντηση
(E)
\(377.0cm^{2}\)
9
If x + y = 90 simplify \((sinx + siny)^2\)−2sinxsiny
Απάντηση
(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?
Απάντηση
(C)
70
11
Solve the equation \( 3x^2 − 4x − 5 = 0 \)
Απάντηση
(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
Απάντηση
(C)
nth = 5
13
Find the equation of a line which is form origin and passes through the point (−3, −4)
Απάντηση
(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.
Απάντηση
(B)
N136.30K
15
Make x the subject of the equation
s = 2 + \(\frac{t}{5} \)(x + ⅗y)
Απάντηση
(A)
x = 5[(s − 2) ÷ t] - 3/5y
16
If log520 = x, find x
Απάντηση
(C)
1.861
17
Find at which rate per annum simple interest N525 will amount to N588 in 3 years.
Απάντηση
(D)
4%
18
Given that A = {1, 5, 7}
B = {3, 9, 12, 15}
C = {2, 4, 6, 8}
Find (A ∪ B) ∪ C
Απάντηση
(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.
Απάντηση
(D)
3
20
Factorize \( x^2 − 2x − 15 \)
Απάντηση
(D)
(x − 5)(x + 3)
21
If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point
Απάντηση
(B)
½ , 2
22
Find the simple interest on N325 in 5years at 3% per annum.
Απάντηση
(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
Απάντηση
(B)
\( \frac{3}{24} \)
26
Given that A = {3, 4, 1, 10, ⅓ }
B = {4, 3,⅓, ⅓, 7}.
Find A∩B
Απάντηση
(C)
{3, 4, ⅓}
27
Find x if 132x = 70 eight.
Απάντηση
(C)
6
28
A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?
Απάντηση
(B)
N365, 217
29
Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)
Απάντηση
(D)
\( -\frac{3}{2} \)
30
Solve x2 − 2x − 3 = 0
Απάντηση
(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)
Απάντηση
(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
Απάντηση
(C)
\( \frac{9}{15} \)
33
If (159.75)10 = (x)6. Find x
Απάντηση
(B)
x6 = 424.56
34
A man bought a car for N800 and sold it for N520. Find his loss per cent
Απάντηση
(C)
35%
35
Simplify \(6\frac{1}{12} − 2 ¾ + 1 ½ \)
Απάντηση
(B)
\( 4 \frac{5}{6}\)
36
Find the distance between the points (-2,-3) and (-2,4)
Απάντηση
(D)
7.0m
37
Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively
Απάντηση
(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
Απάντηση
(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 )
Απάντηση
(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
Απάντηση
(D)
12cm
48
The volume of a cone (s) of height 6cm and base radius 5cm is
Απάντηση
(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?
Απάντηση
(B)
1/3
50
Given that Z = {1,2,4,5} what is the power of set Z?
Απάντηση
(A)
16
51
Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0
Απάντηση
(B)
x = 2, y = – 1/2
52
Simplify \(\sqrt{30}\) × \(\sqrt{40}\)
Απάντηση
(C)
20 √3
53
If √ (2x + 2) − √x =1 ,find x.
Απάντηση
(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
Απάντηση
(C)
6
57
If duty is levied at 25%, find the duty to be added to a bill of N80.
Απάντηση
(B)
N20
58
Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)
Απάντηση
(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?
