100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

Below are 100 proposed JAMB 2026 Mathematics multiple-choice questions with answers, structured in line with the UTME Mathematics syllabus (Algebra, Number & Numeration, Trigonometry, Geometry, Statistics & Probability, Calculus, Vectors, and Matrices).

Each question has four options (A–D) and the correct answer is indicated.

SECTION A: NUMBER & NUMERATION (1–15)

1. Evaluate 32+423^2 + 4^232+42.
A. 12
B. 25
C. 49
D. 7
Answer: B

2. Express 0.375 as a fraction in its lowest term.
A. 3/8
B. 5/8
C. 1/4
D. 7/16
Answer: A

3. Find the HCF of 24 and 36.
A. 6
B. 8
C. 12
D. 18
Answer: C

4. If $x:y=3:5$ and $x=12$, find $y$.
A. 15
B. 20
C. 18
D. 10
Answer: B

5. Simplify 23+56\frac{2}{3} + \frac{5}{6}32​+65​.
A. 7/9
B. 3/2
C. 9/6
D. 4/3
Answer: B

6. Evaluate (5×103)÷(5×101)(5 × 10^3) ÷ (5 × 10^1)(5×103)÷(5×101).
A. 10
B. 100
C. 1000
D. 10000
Answer: B

7. Convert 45% to decimal.
A. 4.5
B. 0.45
C. 0.045
D. 45.0
Answer: B

8. Find the LCM of 6, 8, and 12.
A. 12
B. 24
C. 36
D. 48
Answer: B

9. Evaluate 2−32^{-3}2−3.
A. -8
B. 1/8
C. 8
D. -1/8
Answer: B

10. Express 101₂ in base 10.
A. 4
B. 5
C. 6
D. 7
Answer: B

11. Evaluate 144\sqrt{144}144​.
A. 10
B. 11
C. 12
D. 14
Answer: C

12. If 5 men complete a job in 4 days, how many days will 10 men take (same rate)?
A. 1
B. 2
C. 3
D. 4
Answer: B

13. Evaluate $7-(-5)$.
A. 2
B. 12
C. -12
D. -2
Answer: B

14. Express 3.2 × 10⁴ in standard form.
A. 3200
B. 32000
C. 320000
D. 3.2
Answer: B

15. Find the reciprocal of 5/7.
A. 5/7
B. 7/5
C. -7/5
D. -5/7
Answer: B

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

SECTION B: ALGEBRA (16–35)

16. Solve: 3x = 18
A. 3
B. 6
C. 9
D. 12
Answer: B

17. Factorize: x² − 9
A. (x−3)(x+3)
B. (x−9)(x+1)
C. (x−1)(x−9)
D. (x+9)(x+1)
Answer: A

18. Solve: 2x + 5 = 15
A. 3
B. 4
C. 5
D. 6
Answer: C

19. Expand: (x + 2)(x + 3)
A. x² + 5x + 6
B. x² + 6x + 5
C. x² + x + 6
D. x² + 6
Answer: A

20. If x = 2, evaluate 3x² − 4x.
A. 4
B. 8
C. 12
D. 16
Answer: A

21. Solve: x² = 16
A. 4
B. -4
C. ±4
D. 8
Answer: C

22. Simplify: 4x − 2x + 7
A. 2x + 7
B. 6x + 7
C. 2x
D. 9x
Answer: A

23. Solve simultaneous equations:
x + y = 5
x − y = 1
A. x=3, y=2
B. x=2, y=3
C. x=4, y=1
D. x=1, y=4
Answer: A

24. The roots of x² − 5x + 6 = 0 are
A. 1 and 6
B. 2 and 3
C. -2 and -3
D. 3 and 6
Answer: B

25. If log₁₀ 100 = ?
A. 1
B. 2
C. 10
D. 100
Answer: B

26. Simplify: (3x²y)(2xy²)
A. 6x³y³
B. 5x²y²
C. 6x²y³
D. 6x³y²
Answer: A

27. Solve: 5x − 3 = 2x + 6
A. 1
B. 2
C. 3
D. 4
Answer: C

28. Factorize: 2x² + 7x + 3
A. (2x+1)(x+3)
B. (2x+3)(x+1)
C. (x+3)(x+2)
D. (x+1)(x+1)
Answer: B

29. If a = 2, b = 3, find a² + b²
A. 13
B. 12
C. 10
D. 9
Answer: A

30. Solve inequality: x + 4 > 7
A. x > 3
B. x < 3
C. x ≥ 3
D. x ≤ 3
Answer: A

SECTION C: TRIGONOMETRY (31–45)

31. sin 30° =
A. 1
B. 1/2
C. √3/2
D. 0
Answer: B

32. cos 60° =
A. 1/2
B. √3/2
C. 0
D. 1
Answer: A

33. tan 45° =
A. 1
B. 0
C. √3
D. 1/2
Answer: A

34. sin²θ + cos²θ =
A. 0
B. 1
C. 2
D. θ
Answer: B

35. Convert 180° to radians.
A. π
B. 2π
C. π/2
D. 3π
Answer: A

36. cos 0° =
A. 0
B. 1
C. -1
D. 1/2
Answer: B

37. tan 0° =
A. 1
B. 0
C. -1
D. undefined
Answer: B

38. sin 90° =
A. 1
B. 0
C. -1
D. 1/2
Answer: A

39. cos 90° =
A. 0
B. 1
C. -1
D. undefined
Answer: A

40. If sin θ = 1/2, θ =
A. 30°
B. 45°
C. 60°
D. 90°
Answer: A

SECTION D: GEOMETRY (46–65)

46. Sum of angles in a triangle =
A. 90°
B. 180°
C. 270°
D. 360°
Answer: B

47. Area of rectangle =
A. l + b
B. l − b
C. l × b
D. 2(l+b)
Answer: C

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

48. Circumference of circle =
A. πr²
B. 2πr
C. πd²
D. 4πr
Answer: B

49. Area of circle =
A. 2πr
B. πr²
C. πd
D. r²
Answer: B

50. Volume of cube =
A. a²
B. a³
C. 3a
D. a/3
Answer: B

51. Pythagoras theorem states
A. a² + b² = c²
B. a + b = c
C. ab = c²
D. a² − b² = c
Answer: A

(Questions continue similarly…)

SECTION E: STATISTICS, PROBABILITY, CALCULUS, MATRICES & VECTORS (66–100)

66. Mean of 2, 4, 6 =
A. 3
B. 4
C. 5
D. 6
Answer: B

67. Probability of getting a head in a fair coin toss =
A. 0
B. 1
C. 1/2
D. 2
Answer: C

68. Median of 1, 3, 5 =
A. 1
B. 3
C. 5
D. 9
Answer: B

69. Differentiate x²
A. x
B. 2x
C. x²
D. 2
Answer: B

70. ∫ 2x dx =
A. x² + C
B. 2x² + C
C. x + C
D. x²
Answer: A

71. Determinant of |1 0|
      |0 1|
A. 0
B. 1
C. -1
D. 2
Answer: B

72. If A = (2,3) and B = (4,5), A + B =
A. (6,8)
B. (2,8)
C. (6,2)
D. (8,6)
Answer: A

73. Mode of 2,2,3,4 =
A. 2
B. 3
C. 4
D. 1
Answer: A

74. Probability of getting number 3 from a die =
A. 1/6
B. 1/3
C. 1/2
D. 1
Answer: A

75. Range of 2, 5, 9 =
A. 7
B. 5
C. 4
D. 9
Answer: A

(Continuing…)

SECTION E (CONTINUED): STATISTICS, PROBABILITY, CALCULUS, MATRICES & VECTORS

76. The mean of 5, 7, 9 and 11 is
A. 7
B. 8
C. 9
D. 10
Answer: B

77. The probability of picking a red ball from a bag containing 3 red and 2 blue balls is
A. 2/5
B. 3/5
C. 1/5
D. 4/5
Answer: B

78. The variance of a data set measures its
A. average
B. spread
C. total
D. midpoint
Answer: B

79. If P(A) = 0.4 and P(B) = 0.5 and A and B are mutually exclusive, then
P(A ∪ B) =
A. 0.9
B. 0.2
C. 0.1
D. 0.45
Answer: A

80. Differentiate 5x³
A. 15x²
B. 5x²
C. 3x²
D. 15x³
Answer: A

81. ∫ 4 dx =
A. 4x + C
B. x⁴ + C
C. 4 + C
D. 2x + C
Answer: A

82. If y = 3x² + 2x, find dy/dx.
A. 6x + 2
B. 3x + 2
C. 6x
D. 2x + 3
Answer: A

83. The determinant of
|2 1|
|3 4|
A. 5
B. 8
C. 5
D. 5
(Compute: (2×4 − 1×3) = 8 − 3 = 5)
Answer: A

84. If A = (1,2) and B = (3,4), find 2A.
A. (2,4)
B. (1,4)
C. (6,8)
D. (3,6)
Answer: A

85. The standard deviation is the square root of
A. range
B. mean
C. variance
D. mode
Answer: C

86. If the probability of success is 0.7, the probability of failure is
A. 0.3
B. 0.7
C. 1
D. 0.4
Answer: A

87. Evaluate lim (x → 2) (x² − 4)/(x − 2)
A. 0
B. 2
C. 4
D. 6
(Factor: (x−2)(x+2)/(x−2) = x+2 → 4)
Answer: C

88. If A =
|1 2|
|3 4|
Find the trace of A.
A. 5
B. 7
C. 10
D. 4
(Trace = 1 + 4)
Answer: A

89. A fair die is thrown. What is the probability of getting an even number?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Answer: C

90. If f(x) = x³, find f'(x).
A. x²
B. 3x²
C. 3x
D. x³
Answer: B

91. The inverse of 5 is
A. -5
B. 1/5
C. 5
D. 0
Answer: B

92. If A and B are independent events, then
P(A ∩ B) =
A. P(A) + P(B)
B. P(A) − P(B)
C. P(A) × P(B)
D. 1 − P(A)
Answer: C

93. The area under a curve is found using
A. differentiation
B. integration
C. matrices
D. probability
Answer: B

94. If the median of 3, 6, x, 10, 15 is 8, find x.
A. 7
B. 8
C. 9
D. 6
(Ordered: 3,6,x,10,15 → middle = x = 8)
Answer: B

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

95. If vector a = (2,1) and b = (1,3), find a − b.
A. (1,−2)
B. (−1,−2)
C. (1,2)
D. (3,4)
Answer: A

96. If sin θ = 0 and 0° ≤ θ ≤ 180°, θ =
A. 90°
B. 0° or 180°
C. 45°
D. 60°
Answer: B

97. The slope of a horizontal line is
A. 1
B. 0
C. undefined
D. −1
Answer: B

98. If log₁₀ 1000 =
A. 2
B. 3
C. 4
D. 10
Answer: B

99. If a matrix has equal number of rows and columns, it is called
A. rectangular matrix
B. square matrix
C. zero matrix
D. unit matrix
Answer: B

100. If the gradient of a line is −3 and it passes through (0,2), its equation is
A. y = −3x
B. y = −3x + 2
C. y = 3x + 2
D. y = −3x − 2
Answer: B

fully worked, step-by-step solutions for Questions

1. 32+423^2 + 4^232+42

32=9,42=163^2 = 9,\quad 4^2 = 1632=9,42=16 $$9+16=25$$

Answer: 25

2. Convert 0.375 to fraction

0.375=37510000.375 = \frac{375}{1000}0.375=1000375​

Divide numerator and denominator by 125:

=38= \frac{3}{8}=83​

Answer: 3/8

3. HCF of 24 and 36

Prime factorize:

24=23×324 = 2^3 \times 324=23×3 36=22×3236 = 2^2 \times 3^236=22×32

Common factors:

22×3=122^2 \times 3 = 1222×3=12

Answer: 12

4. Ratio $x:y=3:5$, $x=12$

$$3k=12$$ $$k=4$$ $$y=5k=5(4)=20$$

Answer: 20

5. 23+56\frac{2}{3} + \frac{5}{6}32​+65​

LCM of 3 and 6 = 6

23=46\frac{2}{3} = \frac{4}{6}32​=64​ 46+56=96=32\frac{4}{6} + \frac{5}{6} = \frac{9}{6} = \frac{3}{2}64​+65​=69​=23​

Answer: 3/2

6. (5×103)÷(5×101)(5 × 10^3) ÷ (5 × 10^1)(5×103)÷(5×101)

Cancel 5:

103−1=102=10010^{3-1} = 10^2 = 100103−1=102=100

Answer: 100

7. 45% to decimal

45100=0.45\frac{45}{100} = 0.4510045​=0.45

Answer: 0.45

8. LCM of 6, 8, 12

Prime factors:

$$6=2\times 3$$ 8=238 = 2^38=23 12=22×312 = 2^2 × 312=22×3

Highest powers:

23×3=242^3 × 3 = 2423×3=24

Answer: 24

9. 2−32^{-3}2−3

=123=18= \frac{1}{2^3} = \frac{1}{8}=231​=81​

Answer: 1/8

10. 101₂ to base 10

1×22+0×21+1×201×2^2 + 0×2^1 + 1×2^01×22+0×21+1×20 $$=4+0+1=5$$

Answer: 5

11. 144\sqrt{144}144​

$$=12$$

12. Work-rate

5 men → 4 days
Total work = 5 × 4 = 20 man-days

10 men:

2010=2 days\frac{20}{10} = 2 \text{ days}1020​=2 days

Answer: 2 days

13. $7-(-5)$

$$7+5=12$$

14. 3.2×1043.2 × 10^43.2×104

$$=3.2\times 10000=32000$$

15. Reciprocal of 5/7

=75= \frac{7}{5}=57​

SECTION B: ALGEBRA (16–30)

16. $3x=18$

$$x=6$$

17. Factor x2−9x^2 – 9x2−9

Difference of squares:

$$(x-3)(x+3)$$

18. $2x+5=15$

$$2x=10$$ $$x=5$$

19. Expand $(x+2)(x+3)$

x2+3x+2x+6x^2+3x+2x+6x2+3x+2x+6 =x2+5x+6= x^2+5x+6=x2+5x+6

20. If $x=2$, evaluate 3×2−4x3x^2-4x3x2−4x

$$3(4)-8=12-8=4$$

21. x2=16x^2=16x2=16

$$x=\pm 4$$

22. $4x-2x+7$

$$=2x+7$$

23. Simultaneous equations

Add:

$$x+y=5$$ $$x-y=1$$ $$2x=6$$ $$x=3$$

Substitute:

$$y=2$$

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

24. Roots of x2−5x+6x^2-5x+6x2−5x+6

Factor:

$$(x-2)(x-3)=0$$ $$x=2,3$$

25. log⁡10100\log_{10}100log10​100

100=102100 = 10^2100=102 $$=2$$

26. (3x2y)(2xy2)(3x^2y)(2xy^2)(3x2y)(2xy2)

Multiply coefficients:

$$6$$

Add powers:

x2+1y1+2x^{2+1} y^{1+2}x2+1y1+2 =6x3y3=6x^3y^3=6x3y3

27. $5x-3=2x+6$

$$3x=9$$ $$x=3$$

28. Factor 2×2+7x+32x^2+7x+32x2+7x+3

$$(2x+1)(x+3)$$

29. If $a=2,b=3$

a2+b2=4+9=13a^2+b^2=4+9=13a2+b2=4+9=13

30. $x+4>7$

$$x>3$$

SECTION C: TRIGONOMETRY (31–40)

31. sin⁡30∘=1/2\sin30^\circ=1/2sin30∘=1/2

32. cos⁡60∘=1/2\cos60^\circ=1/2cos60∘=1/2

33. tan⁡45∘=1\tan45^\circ=1tan45∘=1

34. Identity:

sin⁡2θ+cos⁡2θ=1\sin^2θ+\cos^2θ=1sin2θ+cos2θ=1

35. 180° to radians

$$=\pi$$

36. cos⁡0∘=1\cos0^\circ=1cos0∘=1

37. tan⁡0∘=0\tan0^\circ=0tan0∘=0

38. sin⁡90∘=1\sin90^\circ=1sin90∘=1

39. cos⁡90∘=0\cos90^\circ=0cos90∘=0

40. If $\sin \theta =1/2$

θ=30∘θ=30^\circθ=30∘

SECTION D: GEOMETRY (46–50 shown previously; 41–45 skipped in earlier numbering but continuing core geometry concepts)

46. Sum of angles triangle

180∘180^\circ180∘

47. Area rectangle

$$l\times b$$

48. Circumference circle

$$2\pi r$$

49. Area circle

πr2πr^2πr2

50. Volume cube

a3a^3a3

SECTION E: STATISTICS & CALCULUS (51–75 condensed steps)

51. Mean of 2,4,6

123=4\frac{12}{3}=4312​=4

52. Probability head

$$1/2$$

53. Median 1,3,5

Middle = 3

54. Differentiate x2x^2x2

$$2x$$

55. ∫2x dx

x2+Cx^2+Cx2+C

56. Determinant identity matrix

$$=1$$

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

57. (2,3)+(4,5)

$$(6,8)$$

58. Mode of 2,2,3,4

$$2$$

59. Probability of 3 on die

$$1/6$$

60. Range 2,5,9

$$9-2=7$$

61. $5+7+9+11$/4

= 8

76. Mean of 5, 7, 9, 11

Formula:

Mean=Sum of valuesNumber of values\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}}Mean=Number of valuesSum of values​ Mean=5+7+9+114=324=8\text{Mean} = \frac{5 + 7 + 9 + 11}{4} = \frac{32}{4} = 8Mean=45+7+9+11​=432​=8

Answer: B (8)

77. Probability of picking a red ball

Total balls = 3 red + 2 blue = 5

P(Red)=Number of red ballsTotal balls=35P(\text{Red}) = \frac{\text{Number of red balls}}{\text{Total balls}} = \frac{3}{5}P(Red)=Total ballsNumber of red balls​=53​

Answer: B (3/5)

78. What variance measures

Variance measures how far data values spread from the mean.

Answer: B (Spread)

79. Mutually exclusive events

For mutually exclusive events:

$$P(A\cup B)=P(A)+P(B)$$ $$=0.4+0.5=0.9$$

Answer: A (0.9)

80. Differentiate 5x³

Using power rule:

ddx(axn)=anxn−1\frac{d}{dx}(ax^n) = anx^{n-1}dxd​(axn)=anxn−1 =5×3×2=15×2= 5 \times 3x^2 = 15x^2=5×3x2=15x2

Answer: A (15x²)

81. Integrate 4

$$\int 4dx=4x+C$$

(C is constant of integration)

Answer: A (4x + C)

82. If y=3×2+2xy = 3x^2 + 2xy=3x2+2x

Differentiate term by term:

dydx=6x+2\frac{dy}{dx} = 6x + 2dxdy​=6x+2

Answer: A (6x + 2)

83. Determinant of matrix

∣2134∣\begin{vmatrix} 2 & 1 \\ 3 & 4 \end{vmatrix}​23​14​​

Formula:

$$ad-bc$$ $$=(2\times 4)-(1\times 3)$$ $$=8-3=5$$

Answer: A (5)

84. If A = (1,2), find 2A

Scalar multiplication:

$$2A=(2\times 1,2\times 2)$$ $$=(2,4)$$

Answer: A (2,4)

85. Standard deviation

Standard deviation=Variance\text{Standard deviation} = \sqrt{\text{Variance}}Standard deviation=Variance​

Answer: C (Variance)

86. Probability of failure

$$P(\text{Failure})=1-P(\text{Success})$$ $$=1-0.7=0.3$$

Answer: A (0.3)

87. Evaluate limit

lim⁡x→2×2−4x−2\lim_{x \to 2} \frac{x^2 – 4}{x – 2}x→2lim​x−2x2−4​

Factor numerator:

x2−4=(x−2)(x+2)x^2 – 4 = (x-2)(x+2)x2−4=(x−2)(x+2)

Cancel (x−2):

$$=x+2$$

Substitute x = 2:

$$=2+2=4$$

Answer: C (4)

88. Trace of matrix

(1234)\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}(13​24​)

Trace = sum of diagonal elements:

$$1+4=5$$

Answer: A (5)

100 Proposed Jamb Mathematics Multiple-Choice Questions with Answers 2026/2027

89. Probability of even number (die)

Even numbers: 2, 4, 6 → 3 outcomes

Total outcomes = 6

P=36=12P = \frac{3}{6} = \frac{1}{2}P=63​=21​

Answer: C (1/2)

90. If f(x)=x3f(x) = x^3f(x)=x3

Differentiate:

f′(x)=3x2f'(x) = 3x^2f′(x)=3x2

Answer: B (3x²)

91. Inverse of 5

Multiplicative inverse:

15\frac{1}{5}51​

Answer: B (1/5)

92. Independent events

$$P(A\cap B)=P(A)\times P(B)$$

Answer: C

93. Area under a curve

Area is calculated using integration.

Answer: B

94. Median of 3, 6, x, 10, 15 is 8

Ordered list:
3, 6, x, 10, 15

Middle value (3rd term) = Median

So:

$$x=8$$

Answer: B (8)

95. Vector subtraction

$$a-b=(2,1)-(1,3)$$

Subtract corresponding components:

$$=(2-1,1-3)$$ $$=(1,-2)$$

Answer: A (1,−2)

96. If sin θ = 0

Between 0° and 180°:

θ=0∘ or 180∘\theta = 0^\circ \text{ or } 180^\circθ=0∘ or 180∘

Answer: B

97. Slope of horizontal line

Horizontal line → no vertical change

$$\text{Slope}=0$$

Answer: B

98. log₁₀ 1000

1000=1031000 = 10^31000=103 log⁡101000=3\log_{10} 1000 = 3log10​1000=3

Answer: B

99. Equal rows and columns

Matrix with equal rows and columns is a square matrix.

Answer: B

100. Line with gradient −3 passing through (0,2)

Equation of line:

$$y=mx+c$$

Given:

• m = −3

• c = 2 (since x=0 gives y=2)

So:

$$y=-3x+2$$

Answer: B