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Question 1 of 265
1. Question
The 3rd terms of an arithmetic progression is -8 an the 7th term is -28. Find the 10th term of the progression
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Question 2 of 265
2. Question
If x * y = x – y2, find the value of (2 * 3) *5
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Question 3 of 265
3. Question
If p and q are two non-zero numbers and 16(p + q) = (16 + p)/q. which of following must be true
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Question 4 of 265
4. Question
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Question 5 of 265
5. Question
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Question 6 of 265
6. Question
A rectangular picture 6cm by 8cm is enclosed by a frame (1/2) wide. Calculate the area of the frame
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Question 7 of 265
7. Question
The sum of 37/8 and 1 2/3, is less than the difference between 3/8 and 12/3 by
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Question 8 of 265
8. Question
Multiple (x+3y + 5) by (2x2+5y +2)
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Question 9 of 265
9. Question
The sum of the progression 1 + x + x2 + x2+ … is equal
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Question 10 of 265
10. Question
If x2+4=0, then x
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Question 11 of 265
11. Question
Five years ago, a father was 3 times as old as his son. Now, their combined ages amount to 110years. Thus, the present age of the father is
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Question 12 of 265
12. Question
If y=2x2+9x – 35, find the range of Values of which y <0
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Question 13 of 265
13. Question
Mother reduced the quantity of food bought for the family by 10% when she found that the cost of living had increased by 15%. Thus the fractional increase in the family food bill is now
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Question 14 of 265
14. Question
Given that a*b = ab+b+a and a°b= 1+b+ a. find (a*b)°(a*c), if a, b, c are real numbers
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Question 15 of 265
15. Question
If the four interior angles quadrilateral are (P + 100)°, (P – 30)o, (2P – 45)°and (P+35)°,then P is
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Question 16 of 265
16. Question
Simplify (a-b) / (a+b) – (a+b)/(a-b)
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Question 17 of 265
17. Question
The minimum point on the curve y=x2Â – 6x + 5 is at
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Question 18 of 265
18. Question
If 3x – (1/4) > (1/4) – x, then the interval of values of x is
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Question 19 of 265
19. Question
A man runs a distance of 9km/h for the rest of the distance. The whole run takes him one hour. His is average speed for the first 4km is
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Question 20 of 265
20. 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, 1,3,4, 1 and1 .The mean, median and mode are respectively
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Question 21 of 265
21. Question
If sec2q + tano q =3, then angle is equal to
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Question 22 of 265
22. Question
The set of values of x and y which satisfies the equations x2– y – 1 = 0 and y – 2x+2=0Â is
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Question 23 of 265
23. Question
Two triangles have the same area if
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Question 24 of 265
24. Question
If 25 x-1 = 64(5/2)6, then x has the value
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Question 25 of 265
25. Question
In a circle of radius 10cm, a chord of length 10cm is xcm from its centre. What is x
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Question 26 of 265
26. Question
The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9 has a remainder of 7 is
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Question 27 of 265
27. Question
Evaluate Ô0p/4 Sec2qdq
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Question 28 of 265
28. Question
When a dealer sells a bicycle for N81 he makes a profit of 8%.What did he pay for the bicycle?
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Question 29 of 265
29. Question
Find the roots of the equation 10x2 – 13k – 3 =0
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Question 30 of 265
30. Question
The median of the set of numbers is 4, 1, 3, 7, 14,7 is
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Question 31 of 265
31. Question
List all the integer values of x satisfying the inequality -1 <2x-5 ≤ 5
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Question 32 of 265
32. Question
The ratio of the areas of similar triangles is necessarily equal to
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Question 33 of 265
33. Question
A man and his wife want to buy article Costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?
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Question 34 of 265
34. Question
Simp1ify 1og10 8/log10 4
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Question 35 of 265
35. Question
Three number are connected by the relationship y = 4X/ 9 + 1 and z = 4y/9 + 1. If x = 99, find z
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Question 36 of 265
36. Question
In a school there are 35 students in 2A and 40 in class 2B. The mean score for class 2A in a Mathematics examination is 60.00 and that for 2B in the paper is 52.5 find, to one place of decimals, the of the combined classes
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Question 37 of 265
37. Question
A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one of the groups contains 26 items then the sector representing this group on the pie chat contains an angle  xo at the centre of the circle where x is
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Question 38 of 265
38. Question
In triangle FGH,  ΔG = 90°, ΔH = 60o, while triangle XYZ, ΔX = 60°, and ΔY = 30°. From XYZ, write down ratio equal to  |FG| / |FH|
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Question 39 of 265
39. Question
A pentagon has four of its sides equal. If the side of the fifth angle is 600 find the size of each of the four equal angles
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Question 40 of 265
40. Question
The result of dividing (xa/xb) a+b by (xa+b/x a-b)a2/b
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Question 41 of 265
41. Question
What will be the value of k so that quadratic equation kx2 – 4x + 1 = 0 has equal roots?
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Question 42 of 265
42. Question
If it is given that 5 x+1 + 5x = 150 then the value of x is equal to
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Question 43 of 265
43. Question
Solve the system of equations 2x+y =32, 3y-x =27
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Question 44 of 265
44. Question
Simplify the given expression Q [ 1-cos x/1+cos x]
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Question 45 of 265
45. Question
Find the area of the curve surface of a cone whose base radius is 6cm and whose height is 8cm (Take p =22/7)
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Question 46 of 265
46. Question
The expression x3-4x2+cx +d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d
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Question 47 of 265
47. Question
If a function is defined by f(x+1)= 3x2-x+4 findf(0)
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Question 48 of 265
48. Question
A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross-section is 10cm, find the volume of the constituent material. (Take p 22/7)
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Question 49 of 265
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 265
50. Question
If x varies inversely as y, and y varies directly as the square root of z, and z varies directly as 1/w2Â write down in words how x varies with 1/w2
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Question 51 of 265
51. Question
Sin2x/(1+ cos x) + sin2x/(1 – cos x)
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Question 52 of 265
52. Question
From two points X and Y, 8cm apart and in line with a pole, the angle of elevation of the top of the pole are 30° and 60° respectively. Find the height of the pole, assuming that X, Y and the foot of the pole are on the same horizontal plane and X and Y are on the same side of the pole
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Question 53 of 265
53. Question
A bag contains 3 apples, 4 oranges and 3 bananas. What is the probability of selecting a banana and then an apple?
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Question 54 of 265
54. Question
Evaluate nPr/n-1 Pt-1
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Question 55 of 265
55. Question
The change of three independent events, X, Y, Z occurring are ½ , 2/3, ¼ respectively. What are the chances of Y and Z occurring
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Question 56 of 265
56. Question
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Question 57 of 265
57. Question
The interior angles of a quadrilateral are (x + 20°), (2x-45°), (x- 15°) and (2x+10°). Find the value of the least interior angle
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Question 58 of 265
58. Question
If the two smaller sides of right angled Triangle are 8cm in and 9cm, find its area
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Question 59 of 265
59. Question
An arc subtends an angle 60o at the centre of circle of radius 6cm calculate the area of the sector formed (p = 22/7)
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Question 60 of 265
60. Question
A cylindrical pie 40m long with radius 7m has one end open.What is the total surface area of the pipe?
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Question 61 of 265
61. Question
What is the locus of points equidistant from points P(1,4) and Q(2,5)J
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Question 62 of 265
62. Question
Find the distance between the points (2/3,2/3) and (-1/3 ,-1/3)
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Question 63 of 265
63. Question
Find the gradient of the line passing through the points p( 1,2) and q(2 5)
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Question 64 of 265
64. Question
Find the equation of a line perpendicular to y = -4x+2 passing through (2,3)
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Question 65 of 265
65. Question
If cot q=7/1 5, where q is acute find tan q
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Question 66 of 265
66. Question
If y = (2x – 1)3, find dy/dx
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Question 67 of 265
67. Question
If y= x cos x, find dy/dx
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Question 68 of 265
68. Question
At what value of x does the function y = -3+2x+x2 attain a minimum value?
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Question 69 of 265
69. Question
Evaluate Ôo3 (x3 – x2)dx
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Question 70 of 265
70. Question
Find O(cos x + 2)dx 90
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Question 71 of 265
71. Question
From the table above is the pass mark if 5, how many students failed the test?
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Question 72 of 265
72. Question
If three unbiased coins are tossed, find the probability that they are all tails
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Question 73 of 265
73. Question
In how many ways can a committee of 3 Â women and 4 men be chosen from 6 men and 5 women
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Question 74 of 265
74. Question
Find the standard deviation of 2, 4, 5 and 6
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Question 75 of 265
75. Question
Find the equation of a line parallel to y =-3x+2 passing through (1,3)
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Question 76 of 265
76. Question
Which of the Venn diagrams below represents P
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Question 77 of 265
77. Question
From the diagram above, find x
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Question 78 of 265
78. Question
From the cyclic quadrilateral PQRS above find the value of x
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Question 79 of 265
79. Question
If a and b are the roots of x2-5x+7 0 find a2 +b2
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Question 80 of 265
80. Question
Find, correct to three significant figures, the value of 041830
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Question 81 of 265
81. Question
Which of the following is not a factor of 124-54?
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Question 82 of 265
82. Question
The median of the set of numbers 4, 9,4, 13, 7, 14, 10, 17 is
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Question 83 of 265
83. Question
List all the integer values of x satisfying the inequality -1 < 2x -5 = 5
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Question 84 of 265
84. Question
A solid cylinder of radius 3cm has a total surface area of 36pcm2. Find its height
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Question 85 of 265
85. Question
Simplify 1og108/1og104
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Question 86 of 265
86. Question
Write down the number 0.0052048 correct to three significant figures
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Question 87 of 265
87. Question
Write the decimal number 39 to base 2
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Question 88 of 265
88. Question
Find the smallest number by which 252 can be multiplied to obtain a perfect square
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Question 89 of 265
89. Question
Find the reciprocal of 2/3, 2/2 + 2/3
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Question 90 of 265
90. Question
Divide the L.C.M of 48, 64 and 80 by their H.C.F
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Question 91 of 265
91. Question
The ages of Sola and Akin differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y
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Question 92 of 265
92. Question
If 5(x+2y) = 5 and 4 (x+3) = 16. Find 3(x+y)
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Question 93 of 265
93. Question
Find the values of x which satisfy the equation? 16x – 5*4x + 4 = 0
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Question 94 of 265
94. Question
Factorize x2 + 2a + ax + 2x
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Question 95 of 265
95. Question
An open rectangular box externally measures 4m x 3m x 4m. Find the cost of painting the box externally if its cost N2.00 to paint one square metre
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Question 96 of 265
96. Question
Find the probability that a number selected at random from 40 to 50 is a prime
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Question 97 of 265
97. Question
If x varies directly as y3 and x=2, when y = 1, find x when y = 5
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Question 98 of 265
98. Question
If Musa scored 75 in Biology instead of 57, his average mark in four subjects would have been 60. What was is mark?
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Question 99 of 265
99. Question
A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed?
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Question 100 of 265
100. Question
Evaluate 2l23-1213+2223
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Question 101 of 265
101. Question
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Question 102 of 265
102. Question
Find n if log24 + log27 – log2n = 1
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Question 103 of 265
103. Question
At what points does the straight line y = 2x + 1 intersect the curve y = 2x2+5x-1?
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Question 104 of 265
104. Question
If cos q = a/b, find 1 + tan2q
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Question 105 of 265
105. Question
If P = l8, Q = 21, R= -6 and S = 4, calculate (P-Q)3/R2+ S2
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Question 106 of 265
106. Question
Sola deposited N150.00 in the bank. At the end of 5 years, the simple interest on the principal was N55.00. At what rate per annum was the interest paid?
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Question 107 of 265
107. Question
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
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Question 108 of 265
108. Question
At what value of x is the function y= x2-2x-3 minimum?
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Question 109 of 265
109. Question
Solve the equation(x – 2)(x – 3) = 12
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Question 110 of 265
110. Question
Find the two values of y which satisfy simultaneous equations 3x+y8, = x2+ xy = 6
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Question 111 of 265
111. Question
Find the sum of the 20 terms in an arithmetic progress in whose first term is 7 and the last tem is 117
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Question 112 of 265
112. Question
The angles of a quadrilateral are 5x + 30, 4x+ 60, 60-x and 3x+61.Find the smallest of these angles
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Question 113 of 265
113. Question
If g(x) = x2+3x+4, find g (x+1) g(x)
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Question 114 of 265
114. Question
Find the positive number n, such that thrice its square is equal to twelve times the number
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Question 115 of 265
115. Question
The area of a square is 144sqcm. Find the length of its diagonal
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Question 116 of 265
116. Question
Simp1ify Ô12 – Ô3, Ô12 + Ô3
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Question 117 of 265
117. Question
If S(x: x2=9, x>4), then S is equa1to
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Question 118 of 265
118. Question
Express the product of 0.0014 and 0.011 in standard form
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Question 119 of 265
119. Question
What value of g will make the expression 4x2 -18xy + g a perfect?
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Question 120 of 265
120. Question
If x * y + yxy, find x when (x*2) + (x*3) = 68
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Question 121 of 265
121. Question
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Question 122 of 265
122. Question
Find the minimum value of x2 – 3x+2 for all real values of x
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Question 123 of 265
123. Question
If the function f(x) =Â x3 + 2x2 + qx = 6 is divisible by x+ 1, find q
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Question 124 of 265
124. Question
Find the gradient of the curve y = 2x(x-3) at x=1
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Question 125 of 265
125. Question
Integrate 1 /x + cos x with respect to x
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Question 126 of 265
126. Question
Find the value of K if K/03 = 03
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Question 127 of 265
127. Question
If 6Cr/6Pr= 1/6, find the value of r
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Question 128 of 265
128. Question
How many two-digits numbers can be formed from the digits 0, 1, 2, 3, if a digit can be repeated and no number may begin with 0?
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Question 129 of 265
129. Question
The length s of the sides of a right-angled triangle are xcm, (3x 1) cm and (3x+1). Find x
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Question 130 of 265
130. Question
If y = x sins, find dy/dx when x = p/2
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Question 131 of 265
131. Question
9(-6, 1) and Q(6, 6)are the two ends of the diameter of a given circle. Calculate the radius
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Question 132 of 265
132. Question
Find the rate of change of the volume of v of a sphere with respect to it radius r when r=1
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Question 133 of 265
133. Question
If 6pr = 6, find the value of 6pr+2
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Question 134 of 265
134. Question
Teams A and B are involved in a game of football. What is the probability that the game ends in a draw?
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Question 135 of 265
135. Question
The range of the data k – 2, k – 3, k+4, k-2, k-5, k+3, k – 1 and 6 is
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Question 136 of 265
136. Question
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Question 137 of 265
137. Question
If the 9th  term of an A.P. is five times the 5th term, find the relationship between a and d
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Question 138 of 265
138. Question
Find the maximum value of y in the equation y = 1 – 2x -3x2
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Question 139 of 265
139. Question
The binary operation * is defined on the set of integers p and q by p * q = pq + p + q. Find 2*(3*4)
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Question 140 of 265
140. Question
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Question 141 of 265
141. Question
Find the tangent of the acute angle between the lines 2x-y=3 and 3x-2y=5
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Question 142 of 265
142. Question
If the maximum value of y=1+hx – 3x2 is 13, find h
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Question 143 of 265
143. Question
If the standard deviation of the set of numbers 3.6, x, 7, 5 is 2, find the 1east possible value of x
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Question 144 of 265
144. Question
Evaluate Ô–12 (x-1)2 dx
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Question 145 of 265
145. Question
Find the area bounded by the curve y = x (2-x), the x-axis, x =0 and -2
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Question 146 of 265
146. Question
A trader realizes 10x – x3 naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
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Question 147 of 265
147. Question
If a and b are the roots of the equation 3x2 + 5x – 2 = 0, find the value of
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Question 148 of 265
148. Question
If P3446 – 23P26 = 2PP26, Find the value of digit P
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Question 149 of 265
149. Question
Find the minimum value of the fraction f(q) = 2/3 – cos q for 0 £2p
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Question 150 of 265
150. Question
X and Y are two events. The probability of X or Y is 0.7 and the probability of X is 0.4 If X andY are independent, find the probability of Y
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Question 151 of 265
151. Question
An equilateral triangle of sides 3cm inscribed in a circle. Find the radius of the circle
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Question 152 of 265
152. Question
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?
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Question 153 of 265
153. Question
If 92×1 27 x-1 = 1 find the value of x
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Question 154 of 265
154. Question
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Question 155 of 265
155. Question
A cinema hall contains a certain number of people. If 22.5% are children, 47.5% are men and 84 are woman, find the number of men in the hall
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Question 156 of 265
156. Question
Find the value of P if the line which passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x 17 = 0
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Question 157 of 265
157. Question
An arc to a circle subtends an angle of 300 on the circumference of a circle of radius 21cm. Find the length of the arc
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Question 158 of 265
158. Question
Find the remainder when 3x2+5x2 -11x +4 is divided by x+3
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Question 159 of 265
159. Question
The nth terms of two sequences are Qn = 3 x 2n-2 and Um = 3 x 22m-3. Find the product of Q2 and U2
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Question 160 of 265
160. Question
If the operation * on the set of integers is defined by p*q= √pq, find the value of 4*(8*32)
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Question 161 of 265
161. Question
Find the sum to infinity of the series
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Question 162 of 265
162. Question
A man 40m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower
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Question 163 of 265
163. Question
A cliff on the bank of a river is 300m high. If the angle of dipression of a point on the opposite side of the river is 60, find the width of the river
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Question 164 of 265
164. Question
The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set
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Question 165 of 265
165. Question
Make r the subject of the formula =x/a+r = a/r
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Question 166 of 265
166. Question
The inverse of the function f(x) = 3x + 4 is
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Question 167 of 265
167. Question
If dy/dx=2x – 3 and y=3 when x 0, find y in terms of x
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Question 168 of 265
168. Question
A circle with a radius 5cm has its radius increasing at the rate of 0.2cm/s. What will be the corresponding increase in the area?
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Question 169 of 265
169. Question
Find the range of values of x for which (x+2/4) – (2x-3/3) <4
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Question 170 of 265
170. Question
If -2 is the solution of the equation 2x+ 1-3c = 2c+3x – 7, find the value of c
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Question 171 of 265
171. Question
The sum of the interior angles of a regular polygon is 180°. Calculate the size of one exterior angle of the polygon
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Question 172 of 265
172. Question
Find the simple interest rate percent per annum at which N 1,000 accumulates to N 1.240 in 3 years
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Question 173 of 265
173. Question
Three consecutive positive integers k, l and m are such that l2 = 3(k + m) Find the value of m
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Question 174 of 265
174. Question
Find the value of x if = √2/x+√2 =1/x-√2
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Question 175 of 265
175. Question
The expression ax2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the value of a, b, c respectively
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Question 176 of 265
176. Question
If tan q = ¾, find sin2q – cos2q
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Question 177 of 265
177. Question
1f 2q35 = 778 find q
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Question 178 of 265
178. Question
A man invested N 5000 for 9 months at 4%. What is the simple interest?
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Question 179 of 265
179. Question
If the numbers M, N, Q are in the ratio 54:3, find the value of 2N-Q/M
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Question 180 of 265
180. Question
Simp1ify (16/81)¼, (9/16)-½
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Question 181 of 265
181. Question
If log3 18+log3 3 – log3 x = 3, find x
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Question 182 of 265
182. Question
Rationalize 2-05 3-O5
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Question 183 of 265
183. Question
Simplify (Ô2+ 1/Ô3) (Ô2-1Ô3)
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Question 184 of 265
184. Question
Find the remainder when x3 – 2x2+3x – 3 is divided by x2 +1
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Question 185 of 265
185. Question
Factorize completely 9y2– 16x2
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Question 186 of 265
186. Question
Solve for x and y respectively in the simultaneous equations -2x-5y = -3, x+3y=0
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Question 187 of 265
187. Question
If x varies directly as square root of y and x = 81 when y=9, find x when y = 1 7/9
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Question 188 of 265
188. Question
T varies inversely as the cube of R. When R = 3, T = 2/81, find T when R = 2
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Question 189 of 265
189. Question
Solve the inequality -6(x+3) ≤ 4(x-2)
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Question 190 of 265
190. Question
Solve the inequality x2 + 2x ≥ 15
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Question 191 of 265
191. Question
Find the sum of the first 18 terms of the series 3, 6, 9, 36
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Question 192 of 265
192. Question
The second term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms
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Question 193 of 265
193. Question
A binary operation * on real numbers is defined by x* y = xy + x +y for two real numbers x and y. find the value of 3*-2/3
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Question 194 of 265
194. Question
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Question 195 of 265
195. Question
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Question 196 of 265
196. Question
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Question 197 of 265
197. Question
What is the size of each interior angle of a 12-sided regular polygon?
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Question 198 of 265
198. Question
A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square?
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Question 199 of 265
199. Question
A chord of a circle of radius 7cm is 5cm from the centre of the circle. What is the length of the chord?
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Question 200 of 265
200. Question
A solid metal cube of side 3cm is placed in a rectangular tank of dimensions 3, 4 and 5 cm. what volume of water can the tank now hold?
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Question 201 of 265
201. Question
The perpendicular bisector of a line XY is the locus of a point
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Question 202 of 265
202. Question
The midpoint of P(x, y) and Q (8, 6) is (5,8). Find x and y
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Question 203 of 265
203. Question
Find the equation of a line perpendicular to line 2y = 5x +4 which passes through (4,2)
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Question 204 of 265
204. Question
In a right angle triangle, if tan q = 3/4 What is cos q-sin q?
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Question 205 of 265
205. Question
A man walks 100m due West from a point X to Y, he then walks 100m due North to a point Z. find the bearing of X from Z
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Question 206 of 265
206. Question
The derivative of (2x + 1) (3x + 1) is
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Question 207 of 265
207. Question
Find the value of x at the minimum point of the curve y = x3 + x2 – x + 1
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Question 208 of 265
208. Question
Evaluate Ôo1 (3-2x) dx
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Question 209 of 265
209. Question
Find ô cos 4 xdx
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Question 210 of 265
210. Question
The sum of four consecutive integers is 34. Find the least of these numbers
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Question 211 of 265
211. Question
Find the median and range of the data respectively
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Question 212 of 265
212. Question
\( \scriptsize \begin{array}{c|c}
Class Interval & 3 – 5 & 6 – 8 & 9 – 11 \\ \hline Frequency & 2 & 2 & 2 \end{array}\)Find the standard deviation of the above distribution
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Question 213 of 265
213. Question
In how many ways can the letters of the word ELATION be arranged?
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Question 214 of 265
214. Question
In how many ways can five people sit round a circular table?
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Question 215 of 265
215. Question
Find the probability that a number picked at random from the set 43, 44, 45, 60 is a prime number
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Question 216 of 265
216. Question
In a class of 60 students, 30 offer Physics and 40 offer Chemistry. If a student is picked at random from the class, what is the probability that the student offer both Physics and Chemistry?
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Question 217 of 265
217. Question
Convert 276 to a number in base three
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Question 218 of 265
218. Question
Simplify22/3x 1 ½ , 4 4/5
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Question 219 of 265
219. Question
Evaluate 21/9 to 3 significant figures
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Question 220 of 265
220. Question
A man earns N3500 per month out of which he spends 15% on his children’s education. If he spends additional N1950 on food, how much does he have left?
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Question 221 of 265
221. Question
If 1271 x+2 9 x+1 = 32x find x
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Question 222 of 265
222. Question
If log 3x2 = -8, what is x?
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Question 223 of 265
223. Question
Simplify (√6 + 2)2 – (√6 – 2)2
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Question 224 of 265
224. Question
If p is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P n Q
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Question 225 of 265
225. Question
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?
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Question 226 of 265
226. Question
Make n the subject of the formula if w = v(2 + cn), 1 – cn
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Question 227 of 265
227. Question
Find the remainder when 2x3 – 11x2 + 18x + 1 is divided by x+3
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Question 228 of 265
228. Question
Solve for x and yin the equation below. x3– y2 = 4, x + y = 2
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Question 229 of 265
229. Question
If y varies directly as √n and y = 4 when n = 4. find y when n = 1 7/9
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Question 230 of 265
230. Question
U is inversely proportional to the cube of V and U=81 when V=2. Find U when V = 3
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Question 231 of 265
231. Question
The value of y for which 1/5 y + 1/5 <  ½ y+ 2/5 is
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Question 232 of 265
232. Question
Find the range of values of m which satisfies (m – 3) (m – 4) <0
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Question 233 of 265
233. Question
The shaded region by the equation
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Question 234 of 265
234. Question
The nth term of a sequence is n2 – 6n – 4. Find the sum of the 3rd and 4th terms.
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Question 235 of 265
235. Question
The sum to infinity of a geometric progression is – 1/10 and the first term is -1/8. Find the common ratio of the progression
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Question 236 of 265
236. Question
The binary operation * is defined on the set of integers such that pq = pq+p-q.
Find 2*(3*4)CorrectIncorrect -
Question 237 of 265
237. Question
A binary operation on the set of real numbers is defined by m * n = m/2 for all m, n R. If the identity element is 2, find the inverse of -5
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Question 238 of 265
238. Question
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Question 239 of 265
239. Question
Given that I3 is a unit matrix of order 3, find I3
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Question 240 of 265
240. Question
The diagram above, QR//TU, <PQR 80° and <PSU 95°. Calculate  SUT
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Question 241 of 265
241. Question
The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x
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Question 242 of 265
242. Question
The diagram above, PQR is a centre O. If <QPR is x°, find QRP
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Question 243 of 265
243. Question
Find the area of the trapezium above
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Question 244 of 265
244. Question
A circular are subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc
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Question 245 of 265
245. Question
Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm, and height 0.82cm
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Question 246 of 265
246. Question
The locus of a point equidistant from the intersection of lines 3x – 7y +7 = 0 and 4x-6y+1=0 is a
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Question 247 of 265
247. Question
The gradient of the straight line joining the points P(5, -7) and Q(2, -3) is
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Question 248 of 265
248. Question
The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7-x is
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Question 249 of 265
249. Question
Find the equation of the lines through the points (-2, 1) and (-1/2 , 4)
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Question 250 of 265
250. Question
If angle q is 135°. Evaluate cos q If angle q is135°. Evaluate cos q
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Question 251 of 265
251. Question
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
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Question 252 of 265
252. Question
If y = x2 – 1/x, find dy/dx
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Question 253 of 265
253. Question
Find dy/dx, y = cos x
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Question 254 of 265
254. Question
Evaluate ʃ 21 (x2—4x)dx
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Question 255 of 265
255. Question
Evaluate Ôo p/4(sec2q)dq
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Question 256 of 265
256. Question
The grades of 36 students in a class test are as shown in the pie chart above. How many students have excellent?
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Question 257 of 265
257. Question
The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?
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Question 258 of 265
258. Question
The mean of seven numbers is 96. If the eight number is added, the mean becomes 112. Find the eight number
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Question 259 of 265
259. Question
Find the median of 2, 3, 7, 3, 4, 5, 8, 9, 9, 4, 5, 3, 4, 2,4 and 5
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Question 260 of 265
260. Question
Find the rangeof 4,9,6,3,2, 8, 10 and 11
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Question 261 of 265
261. Question
Find the standard deviation of 2, 3, 8, 10 and 12
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Question 262 of 265
262. Question
Evaluate n – 1 C n – 2 if n = 15
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Question 263 of 265
263. Question
In how many ways can the letters of the word TOTALLITY be arranged
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Question 264 of 265
264. Question
The probability that a student passes a physics test is 2/3. If he takes three physics test, what is the probability that he passed two of the test
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Question 265 of 265
265. Question
The probability that a man and his wife live for 80 years are and respectively. Find the probability that at least one of them will live up to 80years
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Yes