POST-UTME: UNILAG – MATHEMATICS
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2019/2020 UNILAG Mathematics Post-UTME
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2018/2019 UNILAG Mathematics Post-UTME
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2017/2018 UNILAG Mathematics Post-UTME
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2015/2016 UNILAG Mathematics Post-UTME
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2014/2015 UNILAG Mathematics Post-UTME
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2013/2014 UNILAG Mathematics Post-UTME
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2012/2013 UNILAG Mathematics Post-UTME
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2011/2012 UNILAG Mathematics Post-UTME
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2010/2011 UNILAG Mathematics Post-UTME
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2009/2010 UNILAG Mathematics Post-UTME
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2008/2009 UNILAG Mathematics Post-UTME
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2007/2008 UNILAG Mathematics Post-UTME
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2006/2007 UNILAG Mathematics Post-UTME
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2005/2006 UNILAG Mathematics Post-UTME
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Question 1 of 100
1. Question
A solid is made up of a hemisphere of radius x cm, and a cone of height x2 cm of the same radius as the hemisphere. What is the volume of the composite solid?
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Question 2 of 100
2. Question
What is the difference in the local time between two places in latitude 55º N if they are located to longitudes 8ºW and 18ºE respectively.
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Question 3 of 100
3. Question
A solid sphere of radius x cm is placed in a cylinder of radius 2x cm and height 2x cm. The cylinder is then filled with water t the brim and solid gently withdrawn. Find the volume of the water in the cylinder in
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Question 4 of 100
4. Question
The earth rotates on its own axis in 24hrs. What is the speed in km/hr of a place whose latitude 30º5?
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Question 5 of 100
5. Question
The minor sector of a circle of diameter 3.6cm subtends angle 35º at the center. What is the perimeter of the sector?
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Question 6 of 100
6. Question
A regular polygon of (2k + 1) sides has 140º as the size of each interior angle.
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Question 7 of 100
7. Question
Solve the following simultaneous equation
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Question 8 of 100
8. Question
A man is x years old which his son is y years old. The sum of their ages is twice the difference of their ages. If the product of their ages is 675, find the age of
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Question 9 of 100
9. Question
Let the universal set U {1,2, 3, 4,5,6} A = {1, 2, 3} and B{2, 4, 6} then A n Bº is
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Question 10 of 100
10. Question
Simplify
as far as possible
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Question 11 of 100
11. Question
Factorize fully:
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Question 12 of 100
12. Question
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Question 13 of 100
13. Question
In a class of 30 students, there are 10 who wear spectacles and 16 girls. There are 8 boys who do not wear spectacles. How many girls wear spectacles?
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Question 14 of 100
14. Question
Solve the equation
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Question 15 of 100
15. Question
(x – 2) is a factor of
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Question 16 of 100
16. Question
Factorize the polynomial
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Question 17 of 100
17. Question
Y is inversely proportional to the square of x. When x = 3, then y = 4. Find the constant of proportionality
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Question 18 of 100
18. Question
The solution to the inequality 5 – 2x > 11 – 4x is
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Question 19 of 100
19. Question
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Question 20 of 100
20. Question
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Question 21 of 100
21. Question
In fig. 1, O is the center of the circleAOB 130º Find ∠ACB
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Question 22 of 100
22. Question
Figure 2 shows a circle of radius 4cm, the area of the shaded segment is
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Question 23 of 100
23. Question
2 scores plus 4 dozens multiplied by 14 equals?
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Question 24 of 100
24. Question
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Question 25 of 100
25. Question
The line y = kx – 3 is perpendicular to the line 2y + 3x = 7. The value of K is.
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Question 26 of 100
26. Question
The midpoint of the line segment joining (-1, 3) and ( 5, 7) is
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Question 27 of 100
27. Question
The solution of the inequality
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Question 28 of 100
28. Question
A binary operation is defined by a*b = a + b – 3. The identity is
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Question 29 of 100
29. Question
A binary operation is defined by a*y = xy – x+y. the value of (3*4) *5 is
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Question 30 of 100
30. Question
Find the difference between the mean and the median of the numbers 1,2, 3,4,5,6,7,8,9 and 10
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Question 31 of 100
31. Question
There are eight men and nine women on a committee. In how many ways can a subcommittee two men and three women be chosen?
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Question 32 of 100
32. Question
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Question 33 of 100
33. Question
in the form
where a and b are rational.
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Question 34 of 100
34. Question
In the relation
, write x in terms of y and z.
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Question 35 of 100
35. Question
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Question 36 of 100
36. Question
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Question 37 of 100
37. Question
The second and fifth term of a geometric progression are 6 and -48, respectively. The first term is
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Question 38 of 100
38. Question
Find the positive solution of the equation log (x + 1) + log(x + 4) = 1
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Question 39 of 100
39. Question
N72,000 is invested at 80% simple interest. After how many years has it reached N87, 840?
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Question 40 of 100
40. Question
Suppose that P is the probability that an event occurs, and that q is the probability that the event does not occur. Which of the following is true?
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Question 41 of 100
41. Question
Suppose x and y are positive numbers for which x > y, which of the following is not true?
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Question 42 of 100
42. Question
Fig4 shows a trapezium, The height is 8cm, one the parallel side 10m and the area is 1042m2. Find the other parallel side.
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Question 43 of 100
43. Question
Find the remainder when
is divided by (x +2)
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Question 44 of 100
44. Question
and y = 7 when x= 2, find y
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Question 45 of 100
45. Question
The long hand minute of a clock is 7cm long. What distance does to the tip of the minute hand move hours?
(Take π 22/7)
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Question 46 of 100
46. Question
The question below refers to the points A(-2, 3) and B(4, -5)
The distance /AB/ is:
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Question 47 of 100
47. Question
The question below refers to the points A(-2, 3) and B(4, -5)
The midpoint of AB is
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Question 48 of 100
48. Question
Find the sum to infinity of the series
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Question 49 of 100
49. Question
Find the solution set for the set (x -2) (x – 1) > 0.
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Question 50 of 100
50. Question
The solution set of the inequality 2x + 6 < 10 is
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Question 51 of 100
51. Question
Write the 7th term of the sequence
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Question 52 of 100
52. Question
If x , 2x + 1, 3x – a form an A.P. find a
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Question 53 of 100
53. Question
The fifth term of the sequence 1, 21, 51, 91 ………….. is
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Question 54 of 100
54. Question
Let X = ( a, b , c, d) which statement is correct?
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Question 55 of 100
55. Question
The distance from the points (3, -2) to the line 3y+ 2x+ 5 = 0 is
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Question 56 of 100
56. Question
Find the slope of the line which is perpendicular to the line 3x + 5y+ 17 = 0
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Question 57 of 100
57. Question
Find the intercept on the x and y-axis respectively fo the line 3x – 2y + 6 = 0
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Question 58 of 100
58. Question
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Question 59 of 100
59. Question
If α and β are the root of the equation
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Question 60 of 100
60. Question
The nth term of a sequence is given by while the find the third term of the sequence.
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Question 61 of 100
61. Question
If a and b are the roots of the equation
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Question 62 of 100
62. Question
If x – 2 and x + 1 are a factor of the equation , determine p, q
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Question 63 of 100
63. Question
, find p
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Question 64 of 100
64. Question
A 16m ladder is placed against a house so that its base is 8m from the house. What angle does the ladder makes with the ground?
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Question 65 of 100
65. Question
Find the trigonometric function of Cos (315°).
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Question 66 of 100
66. Question
Convert -320° to radian measure, give answer using 3.14 for π
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Question 67 of 100
67. Question
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Question 68 of 100
68. Question
Given that Tan Θ = 3/4 and Θ is in the second quadrant Find sin 2 Θ
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Question 69 of 100
69. Question
Find the arc Sin 0.2334 in degrees, using tables
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Question 70 of 100
70. Question
Find the components of this vector u +v, where u = (3, -7) and v = (4, 2)
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Question 71 of 100
71. Question
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Question 72 of 100
72. Question
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Question 73 of 100
73. Question
The sum of an infinite geometric progression if
and the first term is 4, what is the common ratio?
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Question 74 of 100
74. Question
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Question 75 of 100
75. Question
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Question 76 of 100
76. Question
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Question 77 of 100
77. Question
Which of the following is not a quadratic expression?
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Question 78 of 100
78. Question
In Fig 5 below, RST is a tangent to the circle centre O. it touches the circle at S.U and V are at the ends of a diameter and ∠SUV = 48º. find ∠RSU
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Question 79 of 100
79. Question
The bearing of A from B is 280º. find the bearing of B from A.
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Question 80 of 100
80. Question
Use the Frequency Table to answer the question that follow
Calculate the mean of x.
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Question 81 of 100
81. Question
Use the Frequency Table to answer the question that follow
What is the median of x?
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Question 82 of 100
82. Question
Use the Frequency Table to answer the question that follow
What is the range of x?
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Question 83 of 100
83. Question
OAB is a sector of a circle of radius 8cm and centre 0 in fig. 6 below. The length of the arc AB is 8cm. Find the area of the sector.
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Question 84 of 100
84. Question
In Fig. 7 below, find the value of x
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Question 85 of 100
85. Question
What value of K makes the expression a perfect square?
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Question 86 of 100
86. Question
For what value of x is the function y = 7/x + 3 not defined
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Question 87 of 100
87. Question
Evaluate
, giving your answer in standard form.
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Question 88 of 100
88. Question
In fig. 8 below, O is the centre of the circle, AC= 6cm and BC = 8cm. Find the circumference of the circle.
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Question 89 of 100
89. Question
In Fig. 9 below, O is the center of the circle and ∠ACB = 130°, Find ∠DOB.
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Question 90 of 100
90. Question
Two ships leave the same port: one ship sails for 300km on a bearing of 340°; the other sails for 400km on a bearing of 250°. This distance between the ships is
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Question 91 of 100
91. Question
A shopkeeper sold an item for N3,600 making a profit of 20%. Find the original cost of the
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Question 92 of 100
92. Question
A flagpole height 2.5m casts a shadow of length 4m. Calculate the angle of elevation of the sum, correct to the nearest degree.
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Question 93 of 100
93. Question
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Question 94 of 100
94. Question
leaving your answers in base 3.
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Question 95 of 100
95. Question
8% of a certain sum of money is N320. What is 10% of the sum?
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Question 96 of 100
96. Question
A number is selected at random from the set {3, 0, √4, √5, 2/9}. What is the probability the number is rational?
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Question 97 of 100
97. Question
The area of a circle is to Find its circumference. (take π = 22/7)
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Question 98 of 100
98. Question
Two dice are thrown together, What is the probability of getting a sum of 5.
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Question 99 of 100
99. Question
In fig 10 below, the acute angle of the parallelogram is 45°, One side is 8cm and the area is , find the other side.
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Question 100 of 100
100. Question
Three times the tens digit of a two-digit number is 2 greater than the unit digit. When the digits are interchanged the new number Z is 36 more than the original number. What is the original number?
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