This is for UTME Candidates looking for JAMB Mathematics Questions and Answers 2026. Especially for those aspiring for Engineering Sciences, Physical Sciences and a few other courses in Bus Admin, Economics and so on. Here you will get genuine Mathematics JAMB questions and answers for 2026. Your duty now is to read through them as many times as possible and get ready to smash your Mathematics paper. Remember to use the comments sections if you have questions, and don’t forget to join our Free Online Tutorial Classes on YouTube. (Subscribe to the Channel)
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JAMB Mathematics Questions and Answers 2026
The following JAMB Mathematics Questions and Answers 2026 are the questions you should expect in your Mathematics paper in 2026 UTME, together with their answers. You can click on the answer keys to get explanations.
UTME Mathematics 2026
1. Simplify: 5⁄8 + 3⁄4 − 1⁄2
Solution:
LCM = 8
5⁄8 + 6⁄8 − 4⁄8 = 7⁄8
2. If x = −2, evaluate x3 − 2x2 + 3x − 1
Solution:
(−2)3 − 2(−2)2 + 3(−2) − 1 = −8 − 8 − 6 − 1 = −19
3. Solve: 3(x + 4) = 21
Solution:
3x + 12 = 21 → 3x = 9 → x = 3
4. Factorize: 2x2 + 5x − 3
Solution:
(x + 3)(2x − 1) = 2x2 − x + 6x − 3 = 2x2 + 5x − 3
5. Simplify √98
Solution:
√98 = √(49 × 2) = 7√2
6. Gradient of line from (−1, 2) to (3, 8):
Solution:
m = 8 − 2⁄3 − (−1) = 6⁄4 = 3⁄2
7. Solve: 2x − 7 ≥ 5
Solution:
2x ≥ 12 → x ≥ 6
8. log10 0.01 = ?
Solution:
0.01 = 10−2 → log10 0.01 = −2
9. If 5x+1 = 125, find x:
Solution:
5x+1 = 53 → x + 1 = 3 → x = 2
10. Area of circle, diameter 14 cm (π = 22⁄7):
Solution:
r = 7 → A = 22⁄7 × 49 = 154 cm²
11. Convert 101102 to decimal:
Solution:
1×16 + 0×8 + 1×4 + 1×2 + 0×1 = 22
12. Mean of first five prime numbers:
Solution:
2, 3, 5, 7, 11 → Sum = 28 → Mean = 28/5 = 5.8
13. If cos θ = 5⁄13, find sin θ:
Solution:
sin²θ = 1 − (5⁄13)² = 144⁄169 → sin θ = 12⁄13
14. Volume of sphere, r = 3 cm (π = 22⁄7):
Solution:
V = 4⁄3 × 22⁄7 × 27 ≈ 113 cm³
15. 3⁄5 ÷ 9⁄10 = ?
Solution:
3⁄5 × 10⁄9 = 30⁄45 = 2⁄3
16. Solve x2 − 5x + 6 = 0
Solution:
(x−2)(x−3) = 0 → x = 2, 3
17. Simplify x2 − 9⁄x2 − 6x + 9
Solution:
(x−3)(x+3)⁄(x−3)(x−3) = x+3⁄x−3
18. Perimeter of square, side 9 cm:
Solution:
P = 4 × 9 = 36 cm
19. 43 ÷ 41 = ?
Solution:
43−1 = 42 = 16
20. Sum of interior angles of a hexagon:
Solution:
(6−2) × 180° = 720°
21. (32)3 = ?
Solution:
(32)3 = 36
22. Median of 1, 3, 3, 5, 7, 9, 9:
Solution:
7 terms → middle = 4th = 5
23. tan 45° = ?
Solution:
tan 45° = 1
24. Area of trapezium: parallel sides 6 cm, 10 cm, height 5 cm:
Solution:
A = 1⁄2 (6+10) × 5 = 40 cm²
25. Bearing of Y from X is 120°. Bearing of X from Y:
Solution:
120° + 180° = 300°
26. Determinant of [2 3][1 4]:
Solution:
det = 2×4 − 3×1 = 8 − 3 = 5
27. Roots of x2 + 2x − 8 = 0:
Solution:
(x+4)(x−2) = 0 → x = 2, −4
28. Equation of circle center (0,0), radius 5:
Solution:
x2 + y2 = 52 = 25
29. P(white) from 4 white, 6 black balls:
Solution:
P = 4⁄10 = 2⁄5
30. Surface area of cylinder, r=7 cm, h=10 cm (π = 22⁄7):
Solution:
SA = 2 × 22⁄7 × 7 × (7+10) = 748 cm²
31. 5th term of AP: 3, 7, 11, …
Solution:
a5 = 3 + 4×4 = 19
32. y ∝ x, y=12 when x=4. Find y when x=6:
Solution:
12⁄4 = y⁄6 → y = 18
33. Exterior angle of regular pentagon:
Solution:
360° ÷ 5 = 72°
34. A = {1,2,3}, B = {2,3,4}, A ∩ B = ?
Solution:
Common elements: 2 and 3
35. Midpoint of (2,3) and (6,7):
Solution:
(2+6⁄2, 3+7⁄2) = (4,5)
36. sin2 θ + cos2 θ = ?
Solution:
Pythagorean identity
37. CP = ₦800, SP = ₦1000. Profit %?
Solution:
Profit = 200 → % = 200⁄800 × 100 = 25%
38. Volume of cone, r=3 cm, h=4 cm (π = 22⁄7):
Solution:
V = 1⁄3 × 22⁄7 × 9 × 4 = 36 cm³
39. Range of 12, 15, 18, 21, 24:
Solution:
Range = 24 − 12 = 12
40. Magnitude of vector 3î + 4ĵ:
Solution:
|v| = √(3² + 4²) = √25 = 5
Read Also: 20 Most Repeated Topics in JAMB Mathematics Exams 2026
Conclusion
So here you have the 40 Mathematics Questions you can expect to see in your 2026 JAMB examination. Read them again and again. Ensure that you get very familiar with each of them to the extent that you can readily recognize them any time. JAMB is a very serious examination and a lot depend on it. You will answer 40 questions in JAMB Mathematics 2026 within 26 minutes. So it’s important that you pay attention to the information revealed on this page.
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