JAMB Mathematics Questions and Answers 2026/2027 | How to Pass JAMB Maths | JAMB Maths Likely Questions | Mathematics for JAMB UTME 2027
Introduction: Mastering JAMB Mathematics for 2026/2027
Mathematics is the backbone of JAMB for science and social science students. Whether you are targeting Engineering, Computer Science, Economics, or any quantitative program, your Mathematics score plays a critical role in determining your total aggregate. Many students fear Mathematics because they approach it as a subject to be endured rather than understood.
The truth is that JAMB Mathematics follows a pattern. Year after year, certain topics dominate: algebra, trigonometry, statistics, number theory, coordinate geometry, and calculus for science students. Once you identify these patterns and practice systematically, Mathematics becomes one of your strongest scoring subjects.
This section presents 50 carefully selected Mathematics questions with complete step-by-step solutions. These questions reflect the types of problems JAMB has consistently set from 2018 to 2025. Work through each problem carefully, understand every step, and replicate that process under timed conditions.
JAMB Mathematics Syllabus Overview
The JAMB Mathematics syllabus includes: Number and Numeration (fractions, decimals, percentages, indices, surds, logarithms), Algebra (polynomials, equations, inequalities, sequences and series, matrices), Geometry and Mensuration (triangles, circles, polygons, volumes, surface areas, coordinate geometry, locus), Trigonometry (sine, cosine, tangent rules, angles), Statistics and Probability (mean, median, mode, variance, standard deviation, permutations, combinations), and Calculus (differentiation and integration for science students).
50 Predicted JAMB 2026/2027 Mathematics Questions and Solutions
Q1. Simplify: 3x² – 2x + 5 – (x² + 3x – 1)
Answer: 3x² – 2x + 5 – x² – 3x + 1 = 2x² – 5x + 6.
Q2. Find the roots of x² – 5x + 6 = 0.
Answer: Factorize: (x – 2)(x – 3) = 0. Therefore x = 2 or x = 3.
Q3. What is the derivative of f(x) = 3x³ – 4x² + 2x – 7?
Answer: f'(x) = 9x² – 8x + 2.
Q4. Evaluate log₂ 32.
Answer: log₂ 32 = log₂ 2⁵ = 5.
Q5. A circle has radius 7 cm. Find its area. (π = 22/7)
Answer: Area = πr² = (22/7) x 7² = (22/7) x 49 = 22 x 7 = 154 cm².
Q6. Find the sum of the first 10 terms of the arithmetic progression: 3, 7, 11, …
Answer: a = 3, d = 4, n = 10. Sn = n/2 (2a + (n-1)d) = 10/2 (6 + 36) = 5 x 42 = 210.
Q7. Solve for x: 2x + 3 = 11.
Answer: 2x = 11 – 3 = 8. x = 4.
Q8. Differentiate y = x⁴ – 3x² + 2.
Answer: dy/dx = 4x³ – 6x.
Q9. If P(A) = 0.4 and P(B) = 0.5 and A and B are independent, find P(A and B).
Answer: P(A ∩ B) = P(A) x P(B) = 0.4 x 0.5 = 0.2.
Q10. Find the equation of a line passing through (2, 3) with slope 4.
Answer: y – y₁ = m(x – x₁): y – 3 = 4(x – 2) → y = 4x – 8 + 3 → y = 4x – 5.
Q11. Evaluate: ∫(3x² + 2x) dx
Answer: = x³ + x² + C.
Q12. Find the nth term of the geometric progression 2, 6, 18, …
Answer: a = 2, r = 3. Tn = ar^(n-1) = 2 x 3^(n-1).
Q13. Simplify: (2³ x 2⁵) / 2⁴
Answer: = 2^(3+5-4) = 2⁴ = 16.
Q14. Find the mean of: 4, 7, 9, 12, 3.
Answer: Mean = (4 + 7 + 9 + 12 + 3) / 5 = 35 / 5 = 7.
Q15. Solve: 3x – 2y = 12 and x + y = 1.
Answer: From second: x = 1 – y. Substitute: 3(1-y) – 2y = 12 → 3 – 3y – 2y = 12 → -5y = 9 → y = -9/5. x = 1 – (-9/5) = 14/5.
Q16. Find the area of a triangle with base 8 cm and height 5 cm.
Answer: Area = ½ x base x height = ½ x 8 x 5 = 20 cm².
Q17. Evaluate sin 30° + cos 60°.
Answer: sin 30° = 0.5, cos 60° = 0.5. Sum = 0.5 + 0.5 = 1.
Q18. The variance of a set of numbers is 25. What is the standard deviation?
Answer: Standard deviation = √variance = √25 = 5.
Q19. Factorize: x² – 9.
Answer: x² – 9 = (x + 3)(x – 3). This is a difference of two squares.
Q20. Convert 0.375 to a fraction.
Answer: 0.375 = 375/1000 = 3/8.
Q21. A bag contains 4 red and 6 blue balls. One ball is picked at random. What is the probability it is red?
Answer: P(red) = 4/(4+6) = 4/10 = 2/5.
Q22. Solve: 2^(x+1) = 32.
Answer: 32 = 2⁵. So x + 1 = 5, x = 4.
Q23. Find the circumference of a circle with diameter 14 cm. (π = 22/7)
Answer: C = πd = (22/7) x 14 = 44 cm.
Q24. What is the value of (3 + 4i)(3 – 4i)?
Answer: (3 + 4i)(3 – 4i) = 3² + 4² = 9 + 16 = 25. (Product of complex conjugates)
Q25. Find the inverse of the function f(x) = 2x + 3.
Answer: Let y = 2x + 3. Then x = (y – 3)/2. Therefore f⁻¹(x) = (x – 3)/2.
Q26. Evaluate: 5! (5 factorial)
Answer: 5! = 5 x 4 x 3 x 2 x 1 = 120.
Q27. The angles of a triangle are in the ratio 2:3:5. Find the largest angle.
Answer: Total ratio = 10 parts. Total angles = 180°. Largest = (5/10) x 180° = 90°.
Q28. Integrate: ∫ 4x³ dx
Answer: = x⁴ + C.
Q29. Find the quadratic equation whose roots are 2 and -3.
Answer: Sum of roots = 2 + (-3) = -1. Product = 2 x (-3) = -6. Equation: x² – (sum)x + product = 0 → x² + x – 6 = 0.
Q30. A cylinder has height 10 cm and radius 3.5 cm. Find its volume. (π = 22/7)
Answer: Volume = πr²h = (22/7) x (3.5)² x 10 = (22/7) x 12.25 x 10 = 385 cm³.
Q31. If sin θ = 3/5, find cos θ.
Answer: Using Pythagorean identity: cos²θ = 1 – sin²θ = 1 – 9/25 = 16/25. cos θ = 4/5.
Q32. Simplify: (a² – b²) / (a – b)
Answer: (a² – b²) = (a + b)(a – b). Dividing by (a – b) gives (a + b).
Q33. Find the median of: 2, 5, 7, 3, 9, 4, 1.
Answer: Arranged in order: 1, 2, 3, 4, 5, 7, 9. The middle value (4th of 7) is 4.
Q34. Find the equation of a circle with center (0, 0) and radius 5.
Answer: x² + y² = r² = x² + y² = 25.
Q35. Solve: log x = 2 (base 10).
Answer: x = 10² = 100.
Q36. In a geometric progression, the 1st term is 3 and the common ratio is 2. Find the 6th term.
Answer: T₆ = ar^(n-1) = 3 x 2^(6-1) = 3 x 32 = 96.
Q37. Find the gradient of the line 3y – 6x = 9.
Answer: Rearrange: y = 2x + 3. Gradient (slope) = 2.
Q38. Evaluate: ²⁰C₂ (combination)
Answer: ²⁰C₂ = 20! / (2! x 18!) = (20 x 19) / (2 x 1) = 190.
Q39. Find the value of x if 4x/3 = 8.
Answer: 4x = 24. x = 6.
Q40. A cone has base radius 6 cm and slant height 10 cm. Find its curved surface area. (π = 22/7)
Answer: Curved SA = πrl = (22/7) x 6 x 10 = 1320/7 ≈ 188.57 cm².
Q41. The sum of interior angles of a polygon is 1080°. How many sides does it have?
Answer: Sum = (n – 2) x 180°. 1080 = (n – 2) x 180. n – 2 = 6. n = 8 sides (octagon).
Q42. If f(x) = x² – 3x + 2, find f(4).
Answer: f(4) = 4² – 3(4) + 2 = 16 – 12 + 2 = 6.
Q43. Solve the inequality: 2x – 5 > 7.
Answer: 2x > 12. x > 6.
Q44. Find the range of: 3, 8, 4, 12, 6, 1, 9.
Answer: Range = Maximum – Minimum = 12 – 1 = 11.
Q45. What is the compound interest on N10,000 for 2 years at 5% per annum?
Answer: A = P(1 + r/100)^n = 10000(1.05)² = 10000 x 1.1025 = N11,025. Interest = N11,025 – N10,000 = N1,025.
Q46. Solve: x² – 4x + 3 < 0.
Answer: Factor: (x-1)(x-3) < 0. Solution: 1 < x < 3.
Q47. If the 3rd and 7th terms of an AP are 10 and 22 respectively, find the common difference.
Answer: T₃ = a + 2d = 10; T₇ = a + 6d = 22. Subtracting: 4d = 12, d = 3.
Q48. Find the distance between points A(1, 2) and B(4, 6).
Answer: d = √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5 units.
Q49. A shopkeeper buys goods for N200 and sells for N250. Find the percentage profit.
Answer: Profit = 250 – 200 = 50. % Profit = (50/200) x 100 = 25%.
Q50. Evaluate the determinant: |2 3; 1 4|
Answer: Determinant = (2 x 4) – (3 x 1) = 8 – 3 = 5.
CBT Tips for JAMB Mathematics
Mathematics rewards accuracy over speed, but you have limited time. Develop a personal shortcut for common operations. For multiple-choice Maths questions, sometimes working backward from the answer options is faster than solving from scratch. Always double-check your calculation by substituting your answer back into the original equation. Never skip the easy-looking questions; they often carry marks that students give away through carelessness.
Frequently Asked Questions
Q: What topics are most frequently tested in JAMB Mathematics?
A: Algebra (quadratic equations, sequences), Coordinate Geometry (gradients, line equations), Statistics (mean, median, mode, probability), Trigonometry (sine, cosine, tangent), and Mensuration (areas and volumes) are the most frequently tested topics.
Q: Is calculus in JAMB Mathematics?
A: Yes. Differentiation and integration appear in JAMB Mathematics, particularly for science-track students. Expect 3 to 5 calculus questions. Know basic differentiation rules and integration of polynomials.
Q: How can I improve my JAMB Mathematics score fast?
A: Practice past questions every day. Identify your weak topics and dedicate focused study sessions to them. Time yourself when solving practice questions. Use the JAMB CBT practice platform to simulate exam conditions.
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Related resources: JAMB Mathematics Syllabus 2026/2027 PDF | JAMB Maths Past Questions Free Download | How to Solve JAMB Algebra Questions | Trigonometry Formulas for JAMB | JAMB Statistics and Probability Guide
