50 Current JAMB Mathematics Past Questions and Answers

50 Current JAMB Mathematics Past Questions and Answers and below are the examples of past questions and answers carefully selected for Jambite revision. Note that the one ticked green is the correct answer to each of the questions

Algebra

1. Solve for $x$ in $3x+5=14$
   A) 3
   B) 4 ✅
   C) 5
   D) 6
2. If x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0, find $x$.
   A) 2 and 3 ✅
   B) -2 and -3
   C) 1 and 6
   D) 0 and 5
3. Expand $(x+3)(x-2)$.
   A) x2+x−6x^2 + x – 6x2+x−6 ✅
   B) x2−x−6x^2 – x – 6x2−x−6
   C) x2+5x+6x^2 + 5x + 6x2+5x+6
   D) x2−5x−6x^2 – 5x – 6x2−5x−6
4. Simplify: 4x+82\frac{4x + 8}{2}24x+8​
   A) $2x+4$ ✅
   B) $2x-4$
   C) $4x+2$
   D) $x+4$
5. Factorize x2−9x+20x^2 – 9x + 20x2−9x+20.
   A) $(x-4)(x-5)$ ✅
   B) $(x+4)(x+5)$
   C) $(x-2)(x-10)$
   D) $(x-6)(x-3)$

Indices and Logarithms

6. Simplify 23×242^3 \times 2^423×24
   A) 272^727 ✅
   B) 2122^{12}212
   C) 232^323
   D) 242^424
7. If 5x=1255^x = 1255x=125, find $x$.
   A) 2
   B) 3 ✅
   C) 4
   D) 5
8. Solve for $x$: $\log x=2$.
   A) 100 ✅
   B) 10
   C) 20
   D) 50
9. Express 19\frac{1}{9}91​ in index form.
   A) 3−23^{-2}3−2 ✅
   B) 323^232
   C) 929^292
   D) 9−19^{-1}9−1
10. Solve: log⁡216\log_2 16log2​16.
    A) 3
    B) 4 ✅
    C) 5
    D) 6

50 Current JAMB Mathematics Past Questions and Answers

Statistics and Probability

11. The mean of 5, 7, 9, 11, 13 is
    A) 7
    B) 9 ✅
    C) 10
    D) 8
12. Find the mode of 2, 4, 4, 6, 8, 8, 8, 10.
    A) 4
    B) 6
    C) 8 ✅
    D) 10
13. What is the probability of getting a 4 when rolling a fair die?
    A) 14\frac{1}{4}41​
    B) 16\frac{1}{6}61​ ✅
    C) 13\frac{1}{3}31​
    D) 12\frac{1}{2}21​
14. If the median of 3, 7, 11, 15, 19 is found, it is
    A) 7
    B) 11 ✅
    C) 15
    D) 19
15. A die is rolled once. What is the probability of getting an even number?
    A) 16\frac{1}{6}61​
    B) 13\frac{1}{3}31​
    C) 12\frac{1}{2}21​ ✅
    D) 23\frac{2}{3}32​

Geometry and Mensuration

16. The sum of interior angles of a pentagon is
    A) 540° ✅
    B) 360°
    C) 720°
    D) 180°
17. The area of a triangle with base 10 cm and height 5 cm is
    A) 25 cm² ✅
    B) 30 cm²
    C) 50 cm²
    D) 20 cm²
18. The volume of a cube of side 4 cm is
    A) 64 cm³ ✅
    B) 48 cm³
    C) 16 cm³
    D) 32 cm³
19. A right-angled triangle has sides 3 cm and 4 cm. Find the hypotenuse.
    A) 5 cm ✅
    B) 6 cm
    C) 7 cm
    D) 4 cm
20. The circumference of a circle with radius 7 cm is
    A) 44 cm ✅
    B) 21 cm
    C) 28 cm
    D) 35 cm

Trigonometry

21. If sin⁡x=12\sin x = \frac{1}{2}sinx=21​, find $x$ in degrees.
    A) 15°
    B) 30° ✅
    C) 45°
    D) 60°
22. If tan⁡45∘\tan 45^\circtan45∘ =
    A) 0
    B) 1 ✅
    C) 3\sqrt{3}3

50 Current JAMB Mathematics Past Questions and Answers

Algebra (Continued)

31. Solve for $x$ in $2x+7=3x-5$.
    A) 12 ✅
    B) 10
    C) 5
    D) 8
32. Factorize x2−16x^2 – 16x2−16.
    A) $(x-4)(x+4)$ ✅
    B) $(x-8)(x+2)$
    C) $(x-5)(x-3)$
    D) $(x+16)(x-16)$
33. Solve 3×2−12=03x^2 – 12 = 03x2−12=0.
    A) $x=\pm 2$ ✅
    B) $x=2,3$
    C) $x=\pm 3$
    D) $x=0,4$
34. Expand: $(2x-3)(x+5)$.
    A) 2×2+7x−152x^2 + 7x – 152x2+7x−15 ✅
    B) 2×2−10x+32x^2 – 10x + 32x2−10x+3
    C) 2×2−x+52x^2 – x + 52x2−x+5
    D) x2+10x−3x^2 + 10x – 3x2+10x−3
35. Solve for $x$ in x−23=4\frac{x – 2}{3} = 43x−2​=4.
    A) 10 ✅
    B) 8
    C) 6
    D) 12

Indices and Logarithms (Continued)

36. If 9x=819^x = 819x=81, find $x$.
    A) 1
    B) 2 ✅
    C) 3
    D) 4
37. Simplify 3532\frac{3^5}{3^2}3235​.
    A) 333^333 ✅
    B) 373^737
    C) 3103^{10}310
    D) 323^232
38. If 2x+1=162^{x+1} = 162x+1=16, find $x$.
    A) 3 ✅
    B) 4
    C) 2
    D) 5
39. Solve: log⁡525=x\log_5 25 = xlog5​25=x.
    A) 1
    B) 2 ✅
    C) 3
    D) 5
40. Simplify $\log 1000$.
    A) 1
    B) 2
    C) 3 ✅
    D) 4

50 Current JAMB Mathematics Past Questions and Answers

Statistics and Probability (Continued)

41. The median of 3, 5, 7, 9, 11, 13, 15 is
    A) 7
    B) 9 ✅
    C) 11
    D) 13
42. Find the range of 10, 12, 15, 20, 25.
    A) 10
    B) 15
    C) 20 ✅
    D) 25
43. What is the probability of picking a vowel from the word “MATHEMATICS”?
    A) 411\frac{4}{11}114​ ✅
    B) 511\frac{5}{11}115​
    C) 311\frac{3}{11}113​
    D) 611\frac{6}{11}116​
44. The mode of 2, 3, 3, 4, 5, 5, 5, 6 is
    A) 3
    B) 4
    C) 5 ✅
    D) 6
45. A coin is tossed once. What is the probability of getting heads?
    A) 14\frac{1}{4}41​
    B) 12\frac{1}{2}21​ ✅
    C) 13\frac{1}{3}31​
    D) 23\frac{2}{3}32​

Geometry and Mensuration (Continued)

46. The exterior angle of a regular pentagon is
    A) 60°
    B) 72° ✅
    C) 90°
    D) 108°
47. The sum of the angles in a quadrilateral is
    A) 180°
    B) 270°
    C) 360° ✅
    D) 540°
48. The area of a rectangle with length 8 cm and width 3 cm is
    A) 11 cm²
    B) 16 cm²
    C) 24 cm² ✅
    D) 30 cm²
49. The volume of a cylinder with radius 7 cm and height 10 cm is
    A) 1540 cm³
    B) 490 cm³
    C) 1570 cm³
    D) 1540 cm³ ✅
50. The diagonal of a square of side 5 cm is
    A) 5√2 cm ✅
    B) 10 cm
    C) 15 cm
    D) 25 cm