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Question 1 of 98
1. Question
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Question 2 of 98
2. Question
A man and wife went to buy an article costing N400. The woman had 10% of the cost and the manĀ 40% of the remainder. How muchĀ did they have altogether?
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Question 3 of 98
3. Question
Add the same number to the numerator and denominator ofĀ 3/18. If theĀ resulting fraction is 1/2, then the number added is?
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Question 4 of 98
4. Question
After getting a rise of 15%, a man’s new monthly salary is N345, how much per monthĀ did he earn before the increase?
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Question 5 of 98
5. Question
Asumming loge4.4=1.4816 and loge7.7=2.0142, then the value of loge1/4 is
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Question 6 of 98
6. Question
EvaluateĀ (20+4-1/2)2
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Question 7 of 98
7. Question
Evaluate correct to 4 decimal places 827.51 * 0.015
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Question 8 of 98
8. Question
Express 130 Kilometers per second in meters per hour
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Question 9 of 98
9. Question
Find the square root ofĀ Ā 170-2030
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Question 10 of 98
10. Question
if (25)x-1 = 64(5/2)6, then x has a value
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Question 11 of 98
11. Question
If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5 in what ratio is the surface area reduced?
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Question 12 of 98
12. Question
In base ten, the number 101101(based 2) equals
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Question 13 of 98
13. Question
Simplify 5xĆ25x-1Ć·125x+1
Ā
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Question 14 of 98
14. Question
Simplify
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Question 15 of 98
15. Question
Simplify
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Question 16 of 98
16. Question
Simplify
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Question 17 of 98
17. Question
Solve the system of equations:
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Question 18 of 98
18. Question
The annual profits of a transport business were divided between the two partners A and B in the ratio 3:5 If B receives N3,000 more than A, the total profit was
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Question 19 of 98
19. Question
The diameter of a metal rod is measured as 23.40cm to four significant figures. What is the maximum error in the measurement?
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Question 20 of 98
20. Question
The ratio price of a loaf of bread to the price of a packet of sugar in 1975 was r:t, in 1980 the priceĀ of a loafĀ went up by 25% and that of the pacaket of sugar by 10%. There new ratio is nowĀ
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Question 21 of 98
21. Question
The sum of f 37/8 and 11/3 less than the difference between 3/8 and 12/3 by
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Question 22 of 98
22. Question
Two distinct sector in the same circle subtend 1000 and 300 respectively at the centre of the circle. Their corresponding arcs are in the ratio
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Question 23 of 98
23. Question
What is
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Question 24 of 98
24. Question
What is the number whose logarithm to base 10 ……3482
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Question 25 of 98
25. Question
When a dealer sells a bicycle for N81 he makes a profits of 8%. What did he pay for the bicycle?
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Question 26 of 98
26. Question
Write the decimal number 39 to base 2
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Question 27 of 98
27. Question
A father is now three times as old as his son. Twelve years ago, he wasĀ six times as old as his som. How old are the son and the father?
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Question 28 of 98
28. Question
A steel ball of radius 1cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?
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Question 29 of 98
29. Question
Find a two-digit number such that three times the tens digit is 2 less than twice the units digits, and twice the numberĀ is 20 greater than the number obtained by reversing the digits.
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Question 30 of 98
30. Question
Find the roots of the equation
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Question 31 of 98
31. Question
If a function is defined byĀ find f(0)
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Question 32 of 98
32. Question
if sin x equals cosine x, what is x in radians?
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Question 33 of 98
33. Question
IfĀ x2+4=0 , then x=?
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Question 34 of 98
34. Question
In a geometric progression, the first term is 153 and the sixth term is 17/27, the sum of the first four terms is
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Question 35 of 98
35. Question
List all integer values of x satisfying the inequalityĀ
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Question 36 of 98
36. Question
Make c the subject of the equation
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Question 37 of 98
37. Question
Multiply (3x+5y+4z) by (2x-3y+z)
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Question 38 of 98
38. Question
Multiply (3x+3y+5) by (2x2+5y+2)
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Question 39 of 98
39. Question
Multiply x2+1 by x2-x+1
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Question 40 of 98
40. Question
The factors of 6x 5 x2 are
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Question 41 of 98
41. Question
The quantity (x+y) is a factor of A
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Question 42 of 98
42. Question
The set of values of x and y which satisfies the equations x2 -y 1 = 0 and y 2x+2=0
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Question 43 of 98
43. Question
The solution of the equation x2 -2x = 8 is
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Question 44 of 98
44. Question
The solution of the quadratic equation bx2+cx+a = 0 is given by
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Question 45 of 98
45. Question
The sum of the root of a quadratic is 5/2 and the product of its root is 4. The quadratic equation is
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Question 46 of 98
46. Question
Three numbers x,y and z are connected byĀ the relationships y = 4/9x + 1 and z = 4/9y+1 . Find z
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Question 47 of 98
47. Question
What factor is common to all the expression x2-x, 2x2+x-1 and x2-1
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Question 48 of 98
48. Question
A canal has a rectangular cross section of width 10cm and breadth 1m. If water of uniform density 1gm cm-3 flows through itĀ at a constant speed of 1000mm per minute, the adjacent sea isĀ
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Question 49 of 98
49. Question
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
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Question 50 of 98
50. Question
A cylinder of height h and radius r is open at one end. Its surface area is?
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Question 51 of 98
51. Question
A pyramid is constructed on a cuboid. The figure has
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Question 52 of 98
52. Question
A quadrant of a circle of radiyus 6cm is cut away from each corner of a rectangle 25cm long and 18cm wide, Find the perimeter of the remaining figure
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Question 53 of 98
53. Question
A rectangular picture 6cm by 8cm is enclosed by a frame 1/2 cm wide.. Calculate the area of the frame.
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Question 54 of 98
54. Question
A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is
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Question 55 of 98
55. Question
A solid cylinder of radius 3cm has a total surface area of 36Ļcm2.Find its height.
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Question 56 of 98
56. Question
A square cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?
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Question 57 of 98
57. Question
A triangle has angles 300, 150 and 1350, the side opposite to the angle 300 is length 6m. The side opposite to the angle 1350 is equal to
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Question 58 of 98
58. Question
An isosceles triangle of side 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?
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Question 59 of 98
59. Question
Differentiate (x2 –1/x)2 with respect to x.
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Question 60 of 98
60. Question
Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm (take Ļ=22/7)
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Question 61 of 98
61. Question
Find the total surface area of a solid cone of radiusĀ 23cm andĀ slanting side 43cm.
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Question 62 of 98
62. Question
If the four interior angles of a quadrilateral are (p+10)0, (p- 30)0, (2p-45)0 and (p+15)0 then p is
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Question 63 of 98
63. Question
If the hypotenuse of a right angled isosceles triangle is 2, what is the length of each of the other sides?
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Question 64 of 98
64. Question
If the value ofĀ ĻĀ is taken to be 22/7, the area of a semicircle of diameter 42m is
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Question 65 of 98
65. Question
In a circle of radius 10cm, a cord of length 10cm is xcm from its center where x is
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Question 66 of 98
66. Question
PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If ā PQS = 150Ā find ā QRS
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Question 67 of 98
67. Question
The difference between the length and width of a rectangle is 6cm and the area is 135cm2. what is the length?
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Question 68 of 98
68. Question
At what value of x does the functionĀ y = -3-2x+x2 attain a minimum value?
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Question 69 of 98
69. Question
Differentiate(x2-1x)2with respect to x
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Question 70 of 98
70. Question
Evaluate
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Question 71 of 98
71. Question
Find the derivative of y = sin(2x2+3x-4)
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Question 72 of 98
72. Question
ifĀ dydx-x+cosx,Ā find y.
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Question 73 of 98
73. Question
If the maximum value ofĀ y = 1+hx-3x2, find h.
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Question 74 of 98
74. Question
If s = (2+3t)(5t-4), findĀ ds/dt when t = 4/5sec
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Question 75 of 98
75. Question
If y =(1-2x)3, find the value of dy/dx at x= -1
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Question 76 of 98
76. Question
if y = 3cos4x, dy/dx equals
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Question 77 of 98
77. Question
Integrate 1-xx3 with respect to x
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Question 78 of 98
78. Question
The derivative of cosecx isĀ
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Question 79 of 98
79. Question
The minimum value of y in the equation y = x2– 6x+8
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Question 80 of 98
80. Question
The slope of the tangent to the curveĀ y = 2x2 + 5 at the point (1,6) is
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Question 81 of 98
81. Question
Two variables x and y are such that dy/dx= 4x , 3 and y = 5 when x = 2. Find y in terms of x.
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Question 82 of 98
82. Question
7 pupils ofĀ average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11 years join the class, whats the average age of the pupils now in the class?
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Question 83 of 98
83. Question
A bag contain 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. what is the probabilityĀ that they are both red?
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Question 84 of 98
84. Question
Bola chooses at random a number between 1 and 300. What os the probability that the number is divisible by 4?
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Question 85 of 98
85. Question
Determine the mean monthly salary of 50 employees of a company from the following frequency distribution
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Question 86 of 98
86. Question
Find the mean deviation of 1,2,3 and 4
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Question 87 of 98
87. Question
If MĀ represents the median and D the mode of the measurements 5,9,3,5,7,5,8 then the (M,D) isĀ
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Question 88 of 98
88. Question
In a basket of fruits, there are 6 grapes, 11 bananas, and 13 oranges, if one fruit is choosen at random, what is the probability that the fruit is either grape or a banana?
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Question 89 of 98
89. Question
In a school , 220 students offer Biology or Mathematics or both, 125 offer Biology and 110 Mathematics, How many offer Biology but not Mathematics?
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Question 90 of 98
90. Question
In a school, there are 35 students in a class 2A andĀ and 40 inĀ class 2B . The mean score for the classĀ 2A in an EnglishĀ literatureĀ exam is 60.0 and that for 2B in the same paper is 52.5. Find to one decimal, the mean for the combined classes
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Question 91 of 98
91. Question
In a soccer competition in one season, a club had scored the following goals 2,0,3,3,2,1,4,0,0,5,1,0,2,2,1,3,1,4 and 1. The mean, median and mode are respectively
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Question 92 of 98
92. Question
The arithemetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?
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Question 93 of 98
93. Question
In how many way can 2 students be selected from a group of 5 students in a debating competition
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Question 94 of 98
94. Question
The letters of the world “MATRICULATION”Ā are cut and put into a box. One letter is drawn at random from the box. FindĀ the probability of drawing a vowel.
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Question 95 of 98
95. Question
The meanĀ of numbers 3,6,4,x and 7 is 5. Find the standard deviation
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Question 96 of 98
96. Question
The weights of 30 new born babies are given as follows : 6,9,5,7,6,5,8,9,5,7,5,8,7,8,7,5,6,5,7,6,9,9,7,8,8,7,8,9,8. The mode is
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Question 97 of 98
97. Question
Thirty boys and x girls sat for a test. The mean of the boy’s scores and that of the girlsĀ were respectively 6 and 8. Find x if the total score was 468
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Question 98 of 98
98. Question
Two fair dice are rolled. What is the probability that both show up the same number of points?
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