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๐Ÿ“Œ MATHEMATICS JAMB UTME - 100 QUESTIONS & ANSWERS

1. Simplify: ยพ รท 1ยฝ ร— 2โ…” = ?
A. 1 B. 2 C. 3 D. 4
โœ… ANSWER: A
2. If 2^(x+1) = 8^(x-1), find x
A. 2 B. 3 C. 4 D. 5
โœ… ANSWER: A
3. Solve: 3xยฒ - 5x - 2 = 0
A. -โ…“, 2 B. โ…“, -2 C. 3, -2 D. -3, 2
โœ… ANSWER: A
4. Factorize: 2xยฒ - 8
A. 2(x-2)(x+2) B. 2(x-4)(x+4) C. (2x-4)(x+2) D. 2(x-2)ยฒ
โœ… ANSWER: A
5. If y = 2/x, find y when x = -4
A. -ยฝ B. ยฝ C. -2 D. 2
โœ… ANSWER: A
6. Solve: (x+2)/3 - (x-1)/2 = 4
A. 13 B. -13 C. 11 D. -11
โœ… ANSWER: B
7. If logโ‚โ‚€2 = 0.3010, find logโ‚โ‚€8
A. 0.3010 B. 0.9030 C. 0.6020 D. 1.2040
โœ… ANSWER: B
8. Solve for x: 4x - 3 = 2x + 7
A. 5 B. 3 C. 2 D. 4
โœ… ANSWER: A
9. Find the value of 3ยฒ ร— 3ยณ
A. 3โต B. 3โถ C. 3โด D. 3โท
โœ… ANSWER: A
10. Simplify: โˆš64 + โˆš36
A. 14 B. 10 C. 8 D. 6
โœ… ANSWER: A
11. Solve: 5x - 2 = 3x + 8
A. 5 B. 3 C. 4 D. 2
โœ… ANSWER: A
12. If 3x = 81, find x
A. 4 B. 3 C. 2 D. 5
โœ… ANSWER: A
13. Simplify: 2ยฝ + 1ยพ
A. 4ยผ B. 4ยฝ C. 4ยพ D. 4
โœ… ANSWER: A
14. Find the value of x in 2x/3 = 8
A. 12 B. 6 C. 4 D. 8
โœ… ANSWER: A
15. If a = 3, b = 2, find aยฒ + bยฒ
A. 13 B. 9 C. 4 D. 5
โœ… ANSWER: A
16. Solve: xยฒ - 5x + 6 = 0
A. 2,3 B. -2,-3 C. 1,6 D. -1,-6
โœ… ANSWER: A
17. Factorize: xยฒ - 9
A. (x-3)(x+3) B. (x-9)(x+9) C. (x-3)ยฒ D. (x+3)ยฒ
โœ… ANSWER: A
18. If y = 3x - 2, find y when x = 4
A. 10 B. 12 C. 14 D. 8
โœ… ANSWER: A
19. Simplify: 3x + 2x - 5x
A. 0 B. x C. -x D. 5x
โœ… ANSWER: A
20. Solve: 2(x - 3) = 10
A. 8 B. 5 C. 7 D. 6
โœ… ANSWER: A
21. Find the area of triangle with base 12cm and height 5cm
A. 30 cmยฒ B. 60 cmยฒ C. 17 cmยฒ D. 34 cmยฒ
โœ… ANSWER: A
22. Circle circumference 44cm. Find radius (ฯ€=22/7)
A. 7cm B. 14cm C. 21cm D. 28cm
โœ… ANSWER: A
23. Volume of cylinder radius 7cm, height 10cm (ฯ€=22/7)
A. 1540 cmยณ B. 154 cmยณ C. 220 cmยณ D. 440 cmยณ
โœ… ANSWER: A
24. Interior angle of regular polygon is 156ยฐ. How many sides?
A. 12 B. 15 C. 18 D. 24
โœ… ANSWER: B
25. Perimeter of rectangle length 8cm, diagonal 10cm
A. 28cm B. 36cm C. 24cm D. 32cm
โœ… ANSWER: A

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26. Find area of circle radius 7cm (ฯ€=22/7)
A. 154 cmยฒ B. 144 cmยฒ C. 164 cmยฒ D. 174 cmยฒ
โœ… ANSWER: A
27. Volume of cube side 5cm
A. 125 cmยณ B. 100 cmยณ C. 150 cmยณ D. 175 cmยณ
โœ… ANSWER: A
28. Total surface area of cube side 4cm
A. 96 cmยฒ B. 64 cmยฒ C. 48 cmยฒ D. 80 cmยฒ
โœ… ANSWER: A
29. Find area of trapezium parallel sides 8cm, 12cm, height 5cm
A. 50 cmยฒ B. 40 cmยฒ C. 60 cmยฒ D. 70 cmยฒ
โœ… ANSWER: A
30. Circumference of circle radius 14cm (ฯ€=22/7)
A. 88cm B. 44cm C. 66cm D. 22cm
โœ… ANSWER: A
31. If sin ฮธ = 3/5, find cos ฮธ
A. 4/5 B. 2/5 C. 5/4 D. 5/3
โœ… ANSWER: A
32. Simplify: sin 60ยฐ/cos 30ยฐ
A. 1 B. โˆš3 C. 1/โˆš3 D. 2
โœ… ANSWER: A
33. Find ฮธ if 2 sin ฮธ = 1, 0ยฐ โ‰ค ฮธ โ‰ค 90ยฐ
A. 30ยฐ B. 45ยฐ C. 60ยฐ D. 90ยฐ
โœ… ANSWER: A
34. If tan ฮธ = 4/3, find sin ฮธ
A. 4/5 B. 3/5 C. 5/4 D. 5/3
โœ… ANSWER: A
35. Find cos 60ยฐ
A. ยฝ B. โˆš3/2 C. 1/โˆš2 D. 0
โœ… ANSWER: A
36. If sin ฮธ = 0.5, find ฮธ
A. 30ยฐ B. 45ยฐ C. 60ยฐ D. 90ยฐ
โœ… ANSWER: A
37. Simplify: 1 - sinยฒฮธ
A. cosยฒฮธ B. sinยฒฮธ C. tanยฒฮธ D. cotยฒฮธ
โœ… ANSWER: A
38. Find sec ฮธ if cos ฮธ = ยฝ
A. 2 B. 1 C. ยฝ D. โˆš3
โœ… ANSWER: A
39. If cosec ฮธ = 2, find sin ฮธ
A. ยฝ B. 2 C. 1 D. โˆš3/2
โœ… ANSWER: A
40. Find tan 45ยฐ
A. 1 B. 0 C. โˆž D. โˆš3
โœ… ANSWER: A
41. If n(U)=50, n(A)=30, n(B)=25, n(AโˆฉB)=10, find n(AโˆชB)
A. 45 B. 55 C. 5 D. 15
โœ… ANSWER: A
42. In class of 40, 25 like Math, 20 like English, 10 like both. How many like neither?
A. 5 B. 10 C. 15 D. 20
โœ… ANSWER: A
43. If n(A)=15, n(B)=20, n(AโˆฉB)=8, find n(AโˆชB)
A. 27 B. 35 C. 23 D. 43
โœ… ANSWER: A
โค2๐Ÿค—1
44. In a survey of 50 people, 30 like tea, 25 like coffee, 10 like both. How many like neither?
A. 5 B. 10 C. 15 D. 20
โœ… ANSWER: A
45. If n(P)=12, n(Q)=18, n(PโˆฉQ)=5, find n(PโˆชQ)
A. 25 B. 30 C. 35 D. 40
โœ… ANSWER: A
46. In a class, 15 play football, 12 play basketball, 7 play both. How many play at least one?
A. 20 B. 27 C. 34 D. 19
โœ… ANSWER: A
47. If n(M)=25, n(N)=30, n(MโˆฉN)=10, n(MโˆชN)'
A. Depends on universal set B. 45 C. 55 D. 65
โœ… ANSWER: A
48. In a school, 60 study Math, 50 study English, 20 study both. Total students?
A. 90 B. 110 C. 130 D. 70
โœ… ANSWER: A
49. If n(A)=20, n(B)=15, n(AโˆฉB)=5, universal set=40, find n(AโˆชB)'
A. 10 B. 30 C. 20 D. 40
โœ… ANSWER: A
50. In a class of 35, 20 like rice, 15 like beans, 8 like both. How many like none?
A. 8 B. 12 C. 15 D. 20
โœ… ANSWER: A

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51. Distance between points (2,3) and (5,7)
A. 5 B. 6 C. 7 D. 8
โœ… ANSWER: A
52. Midpoint of line joining (1,4) and (5,8)
A. (3,6) B. (2,6) C. (3,4) D. (4,6)
โœ… ANSWER: A
53. Gradient of line through (1,2) and (4,8)
A. 2 B. 3 C. ยฝ D. 4
โœ… ANSWER: A
54. Equation of line gradient 2 passing through (1,3)
A. y=2x+1 B. y=2x-1 C. y=x+2 D. y=3x-2
โœ… ANSWER: A
55. Distance between (0,0) and (3,4)
A. 5 B. 7 C. 1 D. 25
โœ… ANSWER: A
56. Midpoint of (2,5) and (4,9)
A. (3,7) B. (2,7) C. (3,4) D. (6,14)
โœ… ANSWER: A
57. Gradient of line 2y = 4x + 6
A. 2 B. 4 C. 1 D. 3
โœ… ANSWER: A
58. Find y-intercept of line y=3x-5
A. -5 B. 3 C. 5 D. -3
โœ… ANSWER: A
59. Find x-intercept of line 2x+y=4
A. 2 B. 4 C. -2 D. -4
โœ… ANSWER: A
60. Gradient of line perpendicular to y=2x+3
A. -ยฝ B. 2 C. -2 D. ยฝ
โœ… ANSWER: A
61. 10th term of AP: 3,7,11...
A. 39 B. 35 C. 43 D. 47
โœ… ANSWER: A
62. 3rd term of GP is 9, 6th term 243. Find common ratio
A. 3 B. 2 C. 4 D. 5
โœ… ANSWER: A
63. Sum of first 20 even numbers
A. 420 B. 210 C. 410 D. 400
โœ… ANSWER: A
64. 5th term of AP: 2,5,8...
A. 14 B. 11 C. 17 D. 20
โœ… ANSWER: A
65. Sum of first 10 natural numbers
A. 55 B. 45 C. 50 D. 60
โœ… ANSWER: A
66. Find 7th term of GP: 2,4,8...
A. 128 B. 64 C. 32 D. 256
โœ… ANSWER: A
67. Sum of first 5 terms of AP: 1,4,7...
A. 35 B. 40 C. 45 D. 30
โœ… ANSWER: A
68. If Tn = 3n - 2, find T5
A. 13 B. 10 C. 7 D. 4
โœ… ANSWER: A
69. Common difference of AP: 7,4,1...
A. -3 B. 3 C. 4 D. -4
โœ… ANSWER: A
70. Sum to infinity of GP: 16,8,4,2...
A. 32 B. 24 C. 20 D. 28
โœ… ANSWER: A
71. A die thrown once. Probability of prime number?
A. ยฝ B. โ…“ C. โ…™ D. โ…”
โœ… ANSWER: A
72. Mean of: 2,3,5,7,8
A. 5 B. 6 C. 7 D. 8
โœ… ANSWER: A
73. Median of: 4,8,1,3,7,6,2
A. 4 B. 5 C. 6 D. 7
โœ… ANSWER: A
74. Probability of picking a red ball from 4 red, 6 blue
A. 0.4 B. 0.6 C. 0.2 D. 0.8
โœ… ANSWER: A
75. Mode of: 2,2,3,4,5,5,5,6
A. 5 B. 2 C. 3 D. 4
โœ… ANSWER: A
76. Range of: 3,7,2,9,5
A. 7 B. 9 C. 2 D. 3
โœ… ANSWER: A
77. Two coins tossed. Probability of one head?
A. ยฝ B. ยผ C. ยพ D. 1
โœ… ANSWER: A
78. Probability of getting a 6 on a die
A. โ…™ B. ยฝ C. โ…“ D. ยผ
โœ… ANSWER: A
79. Mean of first 5 multiples of 3
A. 9 B. 12 C. 15 D. 18
โœ… ANSWER: A
80. Probability of picking a vowel from "MATHEMATICS"
A. 4/11 B. 3/11 C. 5/11 D. 2/11
โœ… ANSWER: A
81. Differentiate: y = 3xยฒ - 4x + 2
A. 6x - 4 B. 3x - 4 C. 6x + 4 D. 3x + 2
โœ… ANSWER: A
82. Evaluate โˆซ (2x + 3) dx
A. xยฒ + 3x + C B. 2xยฒ + 3x + C C. xยฒ + 3 D. 2x + 3 + C
โœ… ANSWER: A
83. Differentiate: y = 5xยณ
A. 15xยฒ B. 5xยฒ C. 10xยฒ D. 3xยฒ
โœ… ANSWER: A
84. Find โˆซ 4xยณ dx
A. xโด + C B. 4xโด + C C. xยณ + C D. 4xยณ + C
โœ… ANSWER: A
85. Differentiate: y = 2sin x
A. 2cos x B. -2cos x C. 2sin x D. -2sin x
โœ… ANSWER: A
86. Find gradient of y = xยฒ at x = 2
A. 4 B. 2 C. 8 D. 6
โœ… ANSWER: A
87. If y varies directly as x and y=15 when x=3, find y when x=7
A. 35 B. 25 C. 30 D. 40
โœ… ANSWER: A
88. If y varies inversely as x and y=4 when x=3, find x when y=6
A. 2 B. 3 C. 4 D. 5
โœ… ANSWER: A
89. y โˆ xยฒ, y=20 when x=2, find y when x=4
A. 80 B. 40 C. 60 D. 100
โœ… ANSWER: A
90. y โˆ 1/x, y=6 when x=2, find y when x=4
A. 3 B. 12 C. 8 D. 4
โœ… ANSWER: A
91. Man is 3 times son's age. In 12 years, twice son's age. Son's present age?
A. 12 B. 15 C. 18 D. 20
โœ… ANSWER: A
92. Divide โ‚ฆ1200 between A and B in ratio 3:5
A. A=450, B=750 B. A=400, B=800 C. A=350, B=850 D. A=300, B=900
โœ… ANSWER: A
93. If 20% of a number is 80, find the number
A. 400 B. 200 C. 300 D. 500
โœ… ANSWER: A
94. A man bought car for โ‚ฆ800,000 and sold at โ‚ฆ720,000. Percentage loss?
A. 10% B. 15% C. 20% D. 5%
โœ… ANSWER: A
95. Simple interest on โ‚ฆ5000 for 2 years at 8% per annum
A. โ‚ฆ800 B. โ‚ฆ1000 C. โ‚ฆ1200 D. โ‚ฆ400
โœ… ANSWER: A
96. Car travels 180km in 3 hours. Average speed in km/h?
A. 60 B. 45 C. 90 D. 30
โœ… ANSWER: A
97. Find selling price if cost price โ‚ฆ2000, profit 20%
A. โ‚ฆ2400 B. โ‚ฆ2200 C. โ‚ฆ2600 D. โ‚ฆ2800
โœ… ANSWER: A
98. If x% of 300 = 60, find x
A. 20 B. 15 C. 25 D. 30
โœ… ANSWER: A
99. Convert 85% to fraction
A. 17/20 B. 19/20 C. 4/5 D. 3/4
โœ… ANSWER: A
100. Simplify: 2ยฝ - 1ยพ
A. ยพ B. ยผ C. ยฝ D. 1
โœ… ANSWER: A

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๐Ÿ“Œ REVISION TIPS:

ยท Master formulas and practice daily
ยท Solve past questions (minimum 10 years)
ยท Work on speed and accuracy
ยท Show all steps when practicing
ยท Focus on weak areas

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