Current JAMB Mathematics Past Questions and Answers PDF Free

Current JAMB Mathematics Past Questions and Answers PDF Free

Below are 50 multiple-choice questions covering Algebra, Arithmetic, Geometry, Trigonometry, Probability, and Statistics, with correct answers indicated. It is compulsory that before you gain admission into any university to read any science related subject, you must pass math in your O level and JAMB

SECTION A: ARITHMETIC AND NUMBER THEORY

1. Simplify: $5+3\times 2-4÷2$
A) 9
B) 10
C) 7
D) 8
Correct Answer: B) 10

2. Find the HCF of 36 and 48.
A) 6
B) 8
C) 12
D) 18
Correct Answer: C) 12

3. The sum of two numbers is 45, and their difference is 15. Find the numbers.
A) 30 and 15
B) 20 and 25
C) 10 and 35
D) 32 and 13
Correct Answer: A) 30 and 15

4. Convert 0.75 to a fraction.
A) 35\frac{3}{5}53​
B) 34\frac{3}{4}43​
C) 23\frac{2}{3}32​
D) 45\frac{4}{5}54​
Correct Answer: B) 34\frac{3}{4}43​

5. If $3x-7=2x+5$, find $x$.
A) 10
B) 12
C) 7
D) 3
Correct Answer: A) 10

Current JAMB Mathematics Past Questions and Answers PDF Free

SECTION B: ALGEBRA

6. Factorize: x2−9x+18x^2 – 9x + 18x2−9x+18.
A) $(x-3)(x-6)$
B) $(x+3)(x+6)$
C) $(x-2)(x-9)$
D) $(x+2)(x+9)$
Correct Answer: A) $(x-3)(x-6)$

7. Expand: $(x+2)(x-3)$.
A) x2−x−6x^2 – x – 6x2−x−6
B) x2+x−6x^2 + x – 6x2+x−6
C) x2−6x+2x^2 – 6x + 2x2−6x+2
D) x2−5x+6x^2 – 5x + 6x2−5x+6
Correct Answer: A) x2−x−6x^2 – x – 6x2−x−6

8. Solve for $y$: $2y+3=9$.
A) 6
B) 3
C) 9
D) 4
Correct Answer: B) 3

9. If $2x-4=10$, find $x$.
A) 5
B) 7
C) 4
D) 6
Correct Answer: A) 5

10. Simplify: (3×2−2x+4)+(x2+5x−6)(3x^2 – 2x + 4) + (x^2 + 5x – 6)(3x2−2x+4)+(x2+5x−6).
A) 4×2+3x−24x^2 + 3x – 24x2+3x−2
B) 3×2+3x+63x^2 + 3x + 63x2+3x+6
C) 4×2+3x−24x^2 + 3x – 24x2+3x−2
D) 4×2+3x−24x^2 + 3x – 24x2+3x−2
Correct Answer: D) 4×2+3x−24x^2 + 3x – 24x2+3x−2

SECTION C: GEOMETRY AND MENSURATION

11. Find the area of a triangle with base 10 cm and height 5 cm.
A) 50 cm²
B) 25 cm²
C) 30 cm²
D) 40 cm²
Correct Answer: B) 25 cm²

12. The sum of interior angles of a pentagon is:
A) 360°
B) 540°
C) 720°
D) 900°
Correct Answer: B) 540°

13. Find the circumference of a circle with radius 7 cm. $\pi =3.14$
A) 44 cm
B) 22 cm
C) 21 cm
D) 14 cm
Correct Answer: A) 44 cm

14. The diagonal of a rectangle is 10 cm, and its length is 8 cm. Find its width.
A) 5 cm
B) 6 cm
C) 4 cm
D) 3 cm
Correct Answer: C) 6 cm

15. A square has an area of 64 cm². Find its perimeter.
A) 32 cm
B) 16 cm
C) 64 cm
D) 24 cm
Correct Answer: A) 32 cm

SECTION D: TRIGONOMETRY

16. Find the value of sin⁡30∘\sin 30^\circsin30∘.
A) 1
B) 12\frac{1}{2}21​
C) 32\frac{\sqrt{3}}{2}23​​
D) 0
Correct Answer: B) 12\frac{1}{2}21​

17. If tan⁡x=34\tan x = \frac{3}{4}tanx=43​, find $\sin x$.
A) 35\frac{3}{5}53​
B) 45\frac{4}{5}54​
C) 34\frac{3}{4}43​
D) 54\frac{5}{4}45​
Correct Answer: A) 35\frac{3}{5}53​

Current JAMB Mathematics Past Questions and Answers PDF Free

SECTION E: PROBABILITY AND STATISTICS

18. If a die is rolled, what is the probability of getting a prime 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​
Correct Answer: B) 13\frac{1}{3}31​

19. The mode of 2, 3, 3, 5, 5, 5, 7 is:
A) 3
B) 5
C) 7
D) 2
Correct Answer: B) 5

20. The mean of 4, 8, 10, and 6 is:
A) 7
B) 8
C) 6
D) 9
Correct Answer: A) 7

SECTION F: ALGEBRA (CONTINUED)

21. Solve for $x$: $3x+2=11$.
A) 2
B) 3
C) 4
D) 5
Correct Answer: C) 3

22. Expand $(x-5)(x+5)$.
A) x2−10x+25x^2 – 10x + 25x2−10x+25
B) x2+10x−25x^2 + 10x – 25x2+10x−25
C) x2−25x^2 – 25x2−25
D) x2+25x^2 + 25x2+25
Correct Answer: C) x2−25x^2 – 25x2−25

23. Solve for $x$: x2−9=0x^2 – 9 = 0x2−9=0.
A) $\pm 3$
B) $\pm 9$
C) $3$
D) $-3$
Correct Answer: A) $\pm 3$

24. If $4y-8=2y+6$, find $y$.
A) 5
B) 7
C) 4
D) 6
Correct Answer: C) 4

25. Factorize x2+7x+12x^2 + 7x + 12x2+7x+12.
A) $(x+3)(x+4)$
B) $(x+6)(x+2)$
C) $(x+1)(x+12)$
D) $(x+2)(x+5)$
Correct Answer: A) $(x+3)(x+4)$

SECTION G: GEOMETRY AND MENSURATION (CONTINUED)

26. The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its width.
A) 6 cm
B) 8 cm
C) 10 cm
D) 12 cm
Correct Answer: A) 6 cm

27. Find the volume of a cube with side length 5 cm.
A) 100 cm³
B) 125 cm³
C) 150 cm³
D) 200 cm³
Correct Answer: B) 125 cm³

28. The exterior angle of a regular pentagon is:
A) 60°
B) 72°
C) 108°
D) 90°
Correct Answer: B) 72°

29. The sum of the angles in a quadrilateral is:
A) 180°
B) 270°
C) 360°
D) 540°
Correct Answer: C) 360°

30. Find the area of a circle with radius 14 cm. ($\pi =3.14$)
A) 615.44 cm²
B) 450.12 cm²
C) 615.20 cm²
D) 500.50 cm²
Correct Answer: A) 615.44 cm²

SECTION H: TRIGONOMETRY (CONTINUED)

31. If cos⁡60∘=x\cos 60^\circ = xcos60∘=x, find $x$.
A) 1
B) 12\frac{1}{2}21​
C) 32\frac{\sqrt{3}}{2}23​​
D) 0
Correct Answer: B) 12\frac{1}{2}21​

32. If tan⁡45∘=x\tan 45^\circ = xtan45∘=x, find $x$.
A) 1
B) 0
C) 12\frac{1}{2}21​
D) 33\frac{\sqrt{3}}{3}33​​
Correct Answer: A) 1

33. Solve for $x$: $2\sin x=1$.
A) 30∘30^\circ30∘
B) 45∘45^\circ45∘
C) 60∘60^\circ60∘
D) 90∘90^\circ90∘
Correct Answer: A) 30∘30^\circ30∘

34. If sin⁡2x+cos⁡2x=y\sin^2 x + \cos^2 x = ysin2x+cos2x=y, find $y$.
A) 0
B) 1
C) 2
D) 12\frac{1}{2}21​
Correct Answer: B) 1

35. A ladder leans against a wall at an angle of 60°. If the ladder is 10 m long, find the height it reaches on the wall. (sin⁡60∘=0.866\sin 60^\circ = 0.866sin60∘=0.866)
A) 5.5 m
B) 6.8 m
C) 8.66 m
D) 9.5 m
Correct Answer: C) 8.66 m

Current JAMB Mathematics Past Questions and Answers PDF Free

SECTION I: PROBABILITY AND STATISTICS (CONTINUED)

36. If a bag contains 5 red balls and 3 blue balls, what is the probability of picking a red ball?
A) 38\frac{3}{8}83​
B) 58\frac{5}{8}85​
C) 12\frac{1}{2}21​
D) 78\frac{7}{8}87​
Correct Answer: B) 58\frac{5}{8}85​

37. Find the median of the data set: 3, 5, 7, 9, 11, 13, 15.
A) 7
B) 9
C) 11
D) 13
Correct Answer: B) 9

38. The range of the numbers 4, 9, 12, 15, and 20 is:
A) 4
B) 9
C) 16
D) 20
Correct Answer: C) 16

39. If the mean of 5 numbers is 12, what is their total sum?
A) 50
B) 60
C) 70
D) 80
Correct Answer: B) 60

40. Find the probability of rolling an even number on a fair die.
A) 16\frac{1}{6}61​
B) 13\frac{1}{3}31​
C) 12\frac{1}{2}21​
D) 23\frac{2}{3}32​
Correct Answer: C) 12\frac{1}{2}21​