Proposed Jamb 2026 Further Mathematics Questions and Answers

Proposed Jamb 2026 Further Mathematics Questions and Answers

EXAMINATION INSTRUCTIONS

• Answer all questions.
• Each question carries one mark.
• Choose the correct option (A–D).
• Calculators may be used where necessary.
• Time allowed: 60 minutes (practice standard).

1. Evaluate: 23×242^3 \times 2^423×24

A. 16
B. 32
C. 64
D. 128

2. Simplify: log⁡28\log_2 8log2​8

A. 2
B. 3
C. 4
D. 8

3. If $x+2=5$, find x

A. 2
B. 3
C. 4
D. 5

4. Solve: $2x=10$

A. 2
B. 3
C. 4
D. 5

5. Simplify: (x2)(x3)(x^2)(x^3)(x2)(x3)

A. x5x^5x5
B. x6x^6x6
C. x3x^3x3
D. x2x^2x2

6. Find derivative of x2x^2x2

A. $x$
B. $2x$
C. x2x^2x2
D. 2

7. Integrate: $\int xdx$

A. $x$
B. x2x^2x2
C. x22+C\frac{x^2}{2} + C2x2​+C
D. $2x$

8. Solve: x2=9x^2 = 9x2=9

A. 3
B. -3
C. ±3
D. 0

Proposed Jamb 2026 Further Mathematics Questions and Answers

9. Find determinant of ∣2314∣\begin{vmatrix} 2 & 3 \\ 1 & 4 \end{vmatrix}​21​34​​

A. 5
B. 8
C. 2
D. 11

10. If f(x)=x2f(x)=x^2f(x)=x2, find $f(3)$

A. 3
B. 6
C. 9
D. 12

11. Solve: sin⁡30∘\sin 30^\circsin30∘

A. 1
B. 1/2
C. 0
D. √3

12. cos⁡60∘=\cos 60^\circ =cos60∘=

A. 1
B. 1/2
C. 0
D. √3

13. Expand: (x+1)2(x+1)^2(x+1)2

A. x2+1x^2+1x2+1
B. x2+2x+1x^2+2x+1x2+2x+1
C. x2+x+1x^2+x+1x2+x+1
D. x2−1x^2-1x2−1

14. Solve: x2−4=0x^2 – 4 = 0x2−4=0

A. ±2
B. 2
C. -2
D. 4

15. If $y=3x$, find dy/dx

A. 1
B. 2
C. 3
D. x

16. Matrix addition requires

A. Same size
B. Same value
C. Same determinant
D. Same inverse

17. Probability lies between

A. -1 and 1
B. 0 and 1
C. 1 and 2
D. 0 and 2

18. Mean is

A. Middle value
B. Average
C. Mode
D. Median

19. Variance measures

A. Central value
B. Spread
C. Sum
D. Mean

20. Standard deviation is

A. Square of variance
B. Root of variance
C. Mean
D. Median

21. Solve: $3x-6=0$

A. 1
B. 2
C. 3
D. 6

22. Evaluate: log⁡10100\log_{10} 100log10​100

A. 1
B. 2
C. 10
D. 100

23. Simplify: x3x\frac{x^3}{x}xx3​

A. x2x^2x2
B. x3x^3x3
C. x
D. 1

24. If $A=\{1,2\}$, $B=\{2,3\}$, then $A\cap B=$

A. {1}
B. {2}
C. {3}
D. {1,2}

25. Union of A and B is

A. {1,2,3}
B. {2}
C. {1}
D. {3}

26. A vector has

A. Magnitude only
B. Direction only
C. Both magnitude and direction
D. Neither

27. Unit vector has magnitude

A. 0
B. 1
C. 2
D. 10

28. Dot product of perpendicular vectors is

A. 1
B. 0
C. -1
D. 2

29. Solve: e0e^0e0

A. 0
B. 1
C. e
D. -1

30. ln(e) =

A. 0
B. 1
C. e
D. 2

31. Gradient of straight line is

A. Length
B. Slope
C. Area
D. Angle

32. Equation of line: y = mx + c, where m is

A. Intercept
B. Slope
C. Angle
D. Length

33. If m = 0, line is

A. Vertical
B. Horizontal
C. Diagonal
D. Curved

34. Solve: 202^020

A. 0
B. 1
C. 2
D. 4

35. Matrix multiplication requires

A. Same rows
B. Same columns
C. Columns of first = rows of second
D. Same size

36. Identity matrix has

A. Ones everywhere
B. Zeros everywhere
C. Ones on diagonal
D. Zeros on diagonal

37. Inverse matrix exists when determinant is

A. 0
B. ≠ 0
C. 1
D. -1

38. Binomial expansion of (a+b)^2 is

A. a²+b²
B. a²+2ab+b²
C. a²-ab+b²
D. ab

39. Solve: $x+3=7$

A. 3
B. 4
C. 5
D. 6

Proposed Jamb 2026 Further Mathematics Questions and Answers

40. If f(x)=2x, find f(5)

A. 5
B. 7
C. 10
D. 2

41. Angle in triangle sum is

A. 90°
B. 180°
C. 360°
D. 270°

42. Area of rectangle =

A. l+b
B. l×b
C. l²
D. b²

43. Volume of cube =

A. a²
B. a³
C. 2a
D. a

44. Solve: x2−x=0x^2 – x = 0x2−x=0

A. x=0 or 1
B. x=1
C. x=0
D. x=2

45. Sum of arithmetic series depends on

A. First term
B. Common difference
C. Number of terms
D. All

46. Geometric progression involves

A. Addition
B. Multiplication
C. Subtraction
D. Division

47. Probability of certain event is

A. 0
B. 1
C. 2
D. -1

48. Complement of event A is

A. A
B. Not A
C. A²
D. 0

49. Range =

A. Max + Min
B. Max – Min
C. Mean
D. Median

50. Median is

A. Average
B. Middle value
C. Highest value
D. Lowest value

51. Differentiate: y=3x2y = 3x^2y=3x2

A. $3x$
B. $6x$
C. x2x^2x2
D. $2x$

52. Differentiate: $y=\sin x$

A. $\cos x$
B. $-\cos x$
C. $\sin x$
D. $-\sin x$

53. Integrate: $\int 2xdx$

A. x2+Cx^2 + Cx2+C
B. $2x+C$
C. x2x^2x2
D. 2x22x^22x2

54. Evaluate: ∫02x dx\int_0^2 x \, dx∫02​xdx

A. 2
B. 4
C. 1
D. 3

55. If y=exy = e^xy=ex, then dy/dx =

A. exe^xex
B. x
C. 1
D. 0

56. The derivative of a constant is

A. 1
B. 0
C. x
D. Constant

57. Find dy/dx if $y=\ln x$

A. $x$
B. $1/x$
C. $\ln x$
D. 0

58. If y=x3y = x^3y=x3, then d²y/dx² =

A. 6x
B. 3x²
C. x
D. 2x

59. Maximum or minimum points are called

A. Intercepts
B. Turning points
C. Roots
D. Slopes

60. A function is increasing if

A. dy/dx > 0
B. dy/dx < 0
C. dy/dx = 0
D. dy/dx undefined

61. Vector addition follows

A. Subtraction rule
B. Triangle rule
C. Division rule
D. Multiplication rule

62. Magnitude of vector (3,4) is

A. 5
B. 7
C. 12
D. 1

63. Two vectors are parallel if

A. Dot product is zero
B. One is multiple of the other
C. Magnitude is 1
D. Perpendicular

64. If vectors are perpendicular, dot product is

A. 1
B. 0
C. -1
D. 2

65. Determinant of identity matrix is

A. 0
B. 1
C. 2
D. -1

66. If determinant = 0, matrix is

A. Invertible
B. Singular
C. Identity
D. Diagonal

67. Eigenvalues are found from

A. Determinant equation
B. Matrix addition
C. Matrix subtraction
D. Matrix multiplication

68. Probability of impossible event is

A. 0
B. 1
C. 1/2
D. 2

69. If P(A)=0.5, then P(not A)=

A. 0.5
B. 1
C. 0
D. 2

70. Independent events satisfy

A. P(A∩B)=P(A)+P(B)
B. P(A∩B)=P(A)P(B)
C. P(A∪B)=0
D. None

Proposed Jamb 2026 Further Mathematics Questions and Answers

71. Binomial theorem applies to

A. (a+b)^n
B. (a-b)
C. a²+b²
D. a+b

72. Coefficient of x in (1+x)^2 is

A. 1
B. 2
C. 3
D. 4

73. Sum of first n natural numbers is

A. n²
B. n(n+1)/2
C. n³
D. n/2

74. Arithmetic progression has

A. Constant ratio
B. Constant difference
C. Random terms
D. No pattern

75. Geometric progression has

A. Constant difference
B. Constant ratio
C. Random terms
D. Sum only

76. Motion under gravity has acceleration

A. 0
B. g
C. x
D. v

77. Velocity is

A. Speed with direction
B. Distance
C. Time
D. Acceleration

78. Acceleration is

A. Change in velocity
B. Speed
C. Distance
D. Time

79. Newton’s second law is

A. F=ma
B. E=mc²
C. v=u+at
D. s=ut

80. Work done =

A. Force × distance
B. Force / distance
C. Distance / force
D. Mass × acceleration

81. Energy is ability to

A. Move
B. Do work
C. Stop
D. Rest

82. Potential energy =

A. mgh
B. mv²
C. Fd
D. ma

83. Kinetic energy =

A. mgh
B. ½mv²
C. Fd
D. ma

84. Momentum =

A. mv
B. ma
C. mgh
D. v²

85. Impulse =

A. Force × time
B. Force × distance
C. Velocity × time
D. Mass × speed

86. Differential equation involves

A. Variables only
B. Derivatives
C. Constants
D. Numbers

87. Order of differential equation is

A. Highest derivative
B. Lowest derivative
C. Constant
D. Variable

88. Solution of differential equation gives

A. Function
B. Number
C. Matrix
D. Vector

89. Limits evaluate

A. Exact values
B. Behaviour of function
C. Roots
D. Area

90. Limit of constant is

A. 0
B. Constant
C. Infinity
D. Undefined

91. If lim x→0 (sin x / x) =

A. 0
B. 1
C. ∞
D. -1

92. Continuity means

A. No break
B. Jump
C. Gap
D. Discontinuity

93. Matrix transpose swaps

A. Rows and columns
B. Values
C. Determinants
D. Elements

94. Identity matrix multiplied by any matrix gives

A. Zero
B. Same matrix
C. Transpose
D. Inverse

95. Zero matrix has

A. Ones
B. Zeros
C. Diagonal
D. Values

96. Vector scalar multiplication changes

A. Direction only
B. Magnitude
C. Both always
D. None

97. Orthogonal vectors are

A. Parallel
B. Perpendicular
C. Equal
D. Opposite

98. Determinant of 2×2 matrix ad-bc is

A. True
B. False
C. Not sure
D. None

99. Inverse of matrix exists if determinant is

A. 0
B. ≠ 0
C. 1
D. -1

100. Further Mathematics helps in

A. Engineering
B. Physics
C. Technology
D. All of the above

Proposed Jamb 2026 Further Mathematics Questions and Answers

ANSWER KEY (1–100)

1. D
2. B
3. B
4. D
5. A
6. B
7. C
8. C
9. A
10. C
11. B
12. B
13. B
14. A
15. C
16. A
17. B
18. B
19. B
20. B
21. B
22. B
23. A
24. B
25. A
26. C
27. B
28. B
29. B
30. B
31. B
32. B
33. B
34. B
35. C
36. C
37. B
38. B
39. B
40. C
41. B
42. B
43. B
44. A
45. D
46. B
47. B
48. B
49. B
50. B
51. B
52. A
53. A
54. A
55. A
56. B
57. B
58. A
59. B
60. A
61. B
62. A
63. B
64. B
65. B
66. B
67. A
68. A
69. A
70. B
71. A
72. B
73. B
74. B
75. B
76. B
77. A
78. A
79. A
80. A
81. B
82. A
83. B
84. A
85. A
86. B
87. A
88. A
89. B
90. B
91. B
92. A
93. A
94. B
95. B
96. B
97. B
98. A
99. B
100. D