JAMB CBT Practice Mathematics: Questions, Tips & Free Practice (2027)

JAMB CBT Practice Mathematics: Questions, Tips & Free Practice (2027)

Introduction: Why Mathematics Decides Your JAMB Score

Mathematics is one of the most feared, and most important, subjects in the JAMB UTME. It is compulsory for every candidate applying for science, engineering, technology, social science, and management courses. That covers the majority of Nigerian university programmes.

Here is the reality: JAMB Mathematics has the highest failure rate among all UTME subjects. Every year, thousands of candidates who know their other subjects well still miss their target score because they underperformed in Maths.

The problem is rarely intelligence. It is preparation. Specifically, it is the lack of consistent JAMB CBT practice in Mathematics under timed, exam-like conditions. Students who read textbooks but never practise on a CBT screen get overwhelmed by the interface, the timer, and the pressure on exam day.

This guide gives you everything you need to change that: topic breakdowns, sample questions with solutions, proven strategies, and access to free CBT practice.

Start Practising Now: SchoolHub's Free JAMB CBT Practice App covers Mathematics with AI-generated questions, a 20-minute timer, and detailed explanations, all completely free.

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JAMB Mathematics at a Glance

Key fact: You have approximately 45 seconds per question. That means you cannot afford to spend 3 minutes working out a single problem. Speed comes from practice, not from cramming formulas the night before.

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Complete JAMB Mathematics Syllabus Breakdown

The JAMB Mathematics syllabus is divided into five major sections. Understanding the weighting helps you allocate study time wisely.

1. Number and Numeration (Approximately 20% of questions)

Topics covered:

• Number bases (binary, octal, hexadecimal conversions)
• Fractions, decimals, and approximations
• Indices and logarithms
• Surds (simplification and rationalisation)
• Sets (union, intersection, complement, Venn diagrams)
• Percentages, ratios, and proportions

Why it matters: These questions are often the easiest in the exam. Students who master this section lock in 8-10 marks quickly, building confidence for harder sections.

Common exam pattern: Expect 2-3 questions on number bases, 2 on indices/logarithms, 2-3 on sets and Venn diagrams.

2. Algebra (Approximately 25% of questions)

Topics covered:

• Polynomials (factorisation, remainder and factor theorem)
• Quadratic equations (formula, completing the square, sum and product of roots)
• Simultaneous equations (linear and one linear + one quadratic)
• Inequalities (linear, quadratic, graphical representation)
• Sequences and series (AP, GP, sum to n terms, sum to infinity)
• Variation (direct, inverse, joint, partial)
• Matrices and determinants (2×2)
• Binary operations

Why it matters: Algebra is the heaviest section. Getting 8-10 of these right often separates 250+ scorers from the rest.

3. Geometry and Trigonometry (Approximately 25% of questions)

Topics covered:

• Angles (parallel lines, polygons, circle theorems)
• Mensuration (area, volume, surface area of standard shapes)
• Coordinate geometry (distance, midpoint, gradient, equation of a line)
• Loci
• Trigonometric ratios (sine, cosine, tangent for standard angles)
• Trigonometric identities
• Sine and cosine rules
• Angles of elevation and depression
• Bearings

Why it matters: Geometry/Trig questions are where many students lose marks because they skip diagrams. Always sketch a diagram, even a rough one.

4. Calculus (Approximately 15% of questions)

Topics covered:

• Differentiation (polynomials, first principles, rules)
• Applications of differentiation (maxima, minima, rate of change, gradient of a curve)
• Integration (polynomials, definite integrals)
• Applications of integration (area under a curve)

Why it matters: Calculus questions follow predictable patterns. Once you recognise the pattern, they become some of the easiest marks in the exam.

5. Statistics and Probability (Approximately 15% of questions)

Topics covered:

• Measures of central tendency (mean, median, mode for ungrouped and grouped data)
• Measures of dispersion (range, variance, standard deviation)
• Frequency tables and cumulative frequency (ogive)
• Probability (simple, conditional, independent events, mutually exclusive events)
• Permutations and combinations

Why it matters: Statistics questions are direct. Apply the formula correctly and you score. No ambiguity.

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20 JAMB Mathematics Practice Questions With Solutions

Work through these questions under timed conditions. Give yourself 15 minutes for all 20, then check the solutions.

Number and Numeration

Question 1: Convert 110101₂ to base 10.

• (A) (B) 53 (C) 45 (D) 51

Solution: 1(2⁵) + 1(2⁴) + 0(2³) + 1(2²) + 0(2¹) + 1(2⁰) = 32 + 16 + 0 + 4 + 0 + 1 = 53. Answer: (B)

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Question 2: Simplify √75 − √27 + √12.

• (A) 4√3 (B) 3√3 (C) 2√3 (D) 5√3

Solution: √75 = 5√3, √27 = 3√3, √12 = 2√3. So 5√3 − 3√3 + 2√3 = 4√3. Answer: (A)

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Question 3: If log₁₀2 = 0.3010, find log₁₀8.

• (A) 0.6020 (B) 0.9030 (C) 2.4080 (D) 1.2040

Solution: 8 = 2³, so log₁₀8 = 3 × log₁₀2 = 3 × 0.3010 = 0.9030. Answer: (B)

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Question 4: In a class of 50 students, 30 study Mathematics, 25 study Physics, and 10 study both. How many study neither?

• (A) 5 (B) 10 (C) 15 (D) 20

Solution: Using the inclusion-exclusion principle: n(M ∪ P) = 30 + 25 − 10 = 45. Neither = 50 − 45 = 5. Answer: (A)

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Algebra

Question 5: If x² − 5x + 6 = 0, find the sum and product of the roots.

• (A) Sum = 5, Product = 6 (B) Sum = −5, Product = 6 (C) Sum = 5, Product = −6 (D) Sum = 6, Product = 5

Solution: For ax² + bx + c = 0, sum of roots = −b/a = 5, product = c/a = 6. Answer: (A)

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Question 6: The 3rd term of an arithmetic progression is 7 and the 7th term is 19. Find the first term.

• (A) 1 (B) 2 (C) 3 (D) 4

Solution: a + 2d = 7 ... (i), a + 6d = 19 ... (ii). Subtract: 4d = 12, d = 3. From (i): a = 7 − 6 = 1. Answer: (A)

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Question 7: Solve 2x² + 5x − 3 = 0.

• (A) x = ½ or x = −3 (B) x = −½ or x = 3 (C) x = 3 or x = −1 (D) x = 1 or x = −3

Solution: Factor: (2x − 1)(x + 3) = 0. So x = ½ or x = −3. Answer: (A)

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Question 8: Find the sum of the first 10 terms of the GP: 2, 6, 18, ...

• (A) 59,048 (B) 59,046 (C) 29,524 (D) 39,366

Solution: a = 2, r = 3, n = 10. S₁₀ = a(rⁿ − 1)/(r − 1) = 2(3¹⁰ − 1)/2 = 59049 − 1 = 59,048. Answer: (A)

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Geometry and Trigonometry

Question 9: Find the distance between points A(3, 4) and B(−1, 1).

• (A) 5 (B) 4 (C) 7 (D) 3

Solution: d = √[(3−(−1))² + (4−1)²] = √[16 + 9] = √25 = 5. Answer: (A)

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Question 10: The interior angle of a regular polygon is 140°. How many sides does it have?

• (A) 7 (B) 8 (C) 9 (D) 10

Solution: Interior angle = (n−2)×180/n. So 140n = 180n − 360. 40n = 360. n = 9. Answer: (C)

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Question 11: Find the area of a triangle with sides 5cm, 6cm and included angle 60°.

• (A) 15√3/2 cm² (B) 15 cm² (C) 30 cm² (D) 15√3 cm²

Solution: Area = ½ab sin C = ½(5)(6) sin 60° = 15 × (√3/2) = 15√3/2 cm². Answer: (A)

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Question 12: If tan θ = 3/4 and θ is acute, find cos θ.

• (A) 4/5 (B) 3/5 (C) 5/4 (D) 5/3

Solution: If tan θ = 3/4, then opposite = 3, adjacent = 4, hypotenuse = √(9+16) = 5. cos θ = 4/5. Answer: (A)

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Calculus

Question 13: Differentiate y = 3x⁴ − 2x³ + x − 7.

• (A) 12x³ − 6x² + 1 (B) 12x³ − 6x² − 1 (C) 12x⁴ − 6x³ + 1 (D) 3x³ − 2x² + 1

Solution: dy/dx = 12x³ − 6x² + 0 + 1 − 0 = 12x³ − 6x² + 1. Answer: (A)

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Question 14: Find the maximum value of y = 6x − x².

• (A) 6 (B) 9 (C) 12 (D) 3

Solution: dy/dx = 6 − 2x = 0, so x = 3. y = 6(3) − 3² = 18 − 9 = 9. d²y/dx² = −2 < 0, confirming maximum. Answer: (B)

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Question 15: Evaluate ∫(3x² + 2x) dx from x = 1 to x = 3.

• (A) 34 (B) 32 (C) 30 (D) 36

Solution: ∫(3x² + 2x) dx = x³ + x². At x=3: 27 + 9 = 36. At x=1: 1 + 1 = 2. Result: 36 − 2 = 34. Answer: (A)

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Question 16: Find the gradient of the curve y = x³ − 3x + 2 at x = 2.

• (A) 9 (B) 12 (C) 6 (D) 3

Solution: dy/dx = 3x² − 3. At x = 2: 3(4) − 3 = 9. Answer: (A)

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Statistics and Probability

Question 17: Find the mean of the following data: 3, 5, 7, 9, 11.

• (A) 5 (B) 7 (C) 9 (D) 8

Solution: Mean = (3 + 5 + 7 + 9 + 11)/5 = 35/5 = 7. Answer: (B)

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Question 18: A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?

• (A) 2/15 (B) 4/25 (C) 1/5 (D) 4/15

Solution: P(1st red) = 4/10. P(2nd red) = 3/9. P(both red) = (4/10)(3/9) = 12/90 = 2/15. Answer: (A)

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Question 19: The variance of a set of data is 16. What is the standard deviation?

• (A) 4 (B) 8 (C) 2 (D) 256

Solution: Standard deviation = √variance = √16 = 4. Answer: (A)

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Question 20: In how many ways can 5 people be arranged in a row?

• (A) 25 (B) 120 (C) 60 (D) 20

Solution: 5! = 5 × 4 × 3 × 2 × 1 = 120. Answer: (B)

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How to Score 35+ Out of 40 in JAMB Mathematics

Strategy 1: Master the Easy Marks First

Not all 40 questions are equally difficult. In every JAMB Mathematics paper, roughly:

• 12-15 questions are straightforward (basic application of formulas)
• 15-18 questions are moderate (require 2-3 steps)
• 5-8 questions are difficult (complex or multi-concept)

Your approach on exam day:

Strategy 2: Memorise These Essential Formulas

You cannot use a calculator in JAMB. These formulas must be in your head:

Algebra:

• Quadratic formula: x = [−b ± √(b²−4ac)] / 2a
• Sum of AP: Sₙ = n/2[2a + (n−1)d]
• Sum of GP: Sₙ = a(rⁿ − 1)/(r − 1)
• nth term AP: Tₙ = a + (n−1)d
• nth term GP: Tₙ = arⁿ⁻¹

Trigonometry:

• sin²θ + cos²θ = 1
• Sine rule: a/sinA = b/sinB = c/sinC
• Cosine rule: c² = a² + b² − 2ab cosC
• Area of triangle: ½ab sinC

Calculus:

• d/dx(xⁿ) = nxⁿ⁻¹
• ∫xⁿ dx = xⁿ⁺¹/(n+1) + C

Statistics:

• Mean = Σx/n
• Variance = Σ(x−x̄)²/n
• Standard deviation = √variance
• nPr = n!/(n−r)!
• nCr = n!/[r!(n−r)!]

Strategy 3: Know Your Number Base Conversions Cold

Number base questions appear in every JAMB exam and are free marks if you practise. Common conversions:

• Binary (base 2) to Decimal (base 10) and vice versa
• Octal (base 8) to Decimal
• Addition and subtraction in bases other than 10

These questions take 20-30 seconds if you know the method. Practice 10 of them daily.

Strategy 4: Use Substitution and Back-Solving

When stuck on an algebra question, substitute the answer options into the equation. One of them will work. This is faster than solving from scratch for many CBT questions.

Example: If 2x + 3 = 11, and the options are (A) 3 (B) 4 (C) 5 (D) 6, just plug in 4: 2(4) + 3 = 11. Done in 5 seconds.

Strategy 5: Practise With a Timer Every Single Day

This is the single most important strategy. Solving Maths problems on paper without time pressure is completely different from solving them on a screen with a countdown timer.

Use SchoolHub's JAMB CBT Practice App daily:

• 40 Mathematics questions
• 20-minute timer
• Instant scoring and explanations
• AI-generated questions (never the same set twice)

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Topic-by-Topic Study Plan for JAMB Mathematics

Week 1-2: Number and Numeration

• Day 1-2: Number bases (conversions, addition, subtraction)
• Day 3-4: Indices and logarithms
• Day 5-6: Surds (simplification, rationalisation)
• Day 7-8: Sets and Venn diagrams
• Day 9-10: Fractions, percentages, ratios
• Daily CBT practice: 1 session on SchoolHub
• Target: Score 35+ on number/numeration questions

Week 3-4: Algebra

• Day 1-2: Polynomials and factorisation
• Day 3-4: Quadratic equations (all methods)
• Day 5-6: Sequences and series (AP and GP)
• Day 7-8: Simultaneous equations and inequalities
• Day 9-10: Variation, matrices, binary operations
• Daily CBT practice: 1 session
• Target: Score 30+ on algebra questions

Week 5-6: Geometry and Trigonometry

• Day 1-2: Angles, parallel lines, polygons
• Day 3-4: Circle theorems
• Day 5-6: Mensuration (area, volume, surface area)
• Day 7-8: Coordinate geometry
• Day 9-10: Trigonometric ratios, identities, sine/cosine rules
• Daily CBT practice: 1 session
• Target: Score 30+ on geometry/trig questions

Week 7-8: Calculus + Statistics

• Day 1-2: Differentiation (rules and applications)
• Day 3-4: Integration (rules and definite integrals)
• Day 5-6: Statistics (mean, median, mode, variance, SD)
• Day 7-8: Probability (simple, conditional, combined events)
• Day 9-10: Permutations and combinations
• Daily CBT practice: 1 session
• Target: Score 30+ on calculus and stats questions

Week 9-10: Full Mock Exams

• 2 full Maths CBT sessions daily on SchoolHub
• Review every wrong answer
• Re-study weak topics
• Target: Consistent 32+/40

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Common Mathematics Mistakes in JAMB (and How to Avoid Them)

1. Sign Errors

The most common mistake. Students forget to distribute negative signs. Fix: Circle every negative sign before solving. Double-check signs at the end.

2. Not Simplifying Surds

Students leave answers as √50 instead of 5√2. Fix: Always check if the number under the root has a perfect square factor.

3. Confusing Permutation and Combination

Permutation = order matters. Combination = order doesn't matter. Fix: If the question says "arrange" or "in a row" → Permutation. If it says "choose" or "select" → Combination.

4. Forgetting the +C in Integration

In indefinite integration, always add the constant of integration. Note: In JAMB, most integration questions are definite integrals (limits given), so +C doesn't apply. But if the question is indefinite, include it.

5. Wrong Quadratic Formula Application

Students make errors with the ± or forget to put the entire numerator over 2a. Fix: Write the formula first, then substitute carefully.

6. Skipping Rough Work

Students try to solve in their head and make careless errors. Fix: Always use the rough paper provided at the CBT centre. Show your working to yourself.

7. Spending 4+ Minutes on One Question

If you cannot solve it in 1 minute, move on. You can return later. Fix: Practise with a timer. SchoolHub's 20-minute timer trains you to pace yourself.

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Why SchoolHub Is the Best Platform for JAMB Maths Practice

AI-Generated Mathematics Questions

Unlike static past question apps where you eventually memorise answers, SchoolHub generates fresh Mathematics questions every session. You build real problem-solving skills, not just pattern recognition.

Exam-Identical Format

40 questions. 20-minute timer. Multiple choice. It mirrors the real JAMB experience so closely that the actual exam feels familiar.

Step-by-Step Explanations

Every Mathematics question comes with a detailed solution. This is where real learning happens. Understanding why an answer is correct matters more than knowing what the answer is.

All Difficulty Levels

Easy questions to build confidence. Moderate questions to stretch your skills. Difficult questions to prepare you for the toughest JAMB problems.

Track Your Progress

See your scores improve over time. Identify which Maths topics need more work.

Start Free JAMB Mathematics Practice → SchoolHub

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Frequently Asked Questions

How many Mathematics questions are in JAMB?

There are 40 Mathematics questions in the JAMB UTME, to be answered within approximately 30 minutes as part of the 2-hour exam. Each question carries 2.5 marks, totalling 100 marks.

Is JAMB Mathematics hard?

JAMB Mathematics is challenging because of the time constraint, not necessarily the content. The syllabus covers SS1-SS3 topics. Students who practise JAMB CBT Mathematics regularly find it manageable because they develop speed and familiarity.

What topics should I focus on for JAMB Mathematics?

Prioritise Algebra (25% of questions), Geometry/Trigonometry (25%), and Number and Numeration (20%). Together, these three sections make up 70% of the paper. See the full syllabus breakdown above.

Can I use a calculator in JAMB?

No. Calculators are not allowed in the JAMB UTME. You must be able to perform all calculations manually. This is why practising mental Maths and knowing formulas by heart is essential.

How can I score 300+ in JAMB with Mathematics?

Score 35+/40 in Mathematics (87+ marks). Combined with strong performance in your other three subjects, this puts 300+ within reach. Daily CBT practice on SchoolHub builds the speed and accuracy needed.

What is the best app to practise JAMB Mathematics?

SchoolHub JAMB CBT Practice is built specifically for JAMB preparation. It offers AI-generated Mathematics questions, timed sessions matching the real exam format, and detailed explanations for every answer.

How many hours should I study Mathematics for JAMB daily?

Study 1.5-2 hours daily: 1 hour of textbook study focused on one topic, followed by a 20-minute CBT practice session, and 20-30 minutes reviewing explanations and wrong answers.

Are JAMB past questions enough for Mathematics?

Past questions are useful for understanding question patterns, but they are not enough on their own. JAMB regularly introduces new question styles. Practising with AI-generated questions on SchoolHub prepares you for both familiar and unfamiliar problems.

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Start Practising JAMB Mathematics Today

Mathematics does not have to be the subject that holds you back. With the right preparation strategy and consistent CBT practice, you can turn it into your highest-scoring subject.

Your action plan:

1. Right now: Visit jamb.schoolhub.tech and take a free Mathematics session
2. This week: Identify your weakest Maths topics from the score breakdown
3. This month: Follow the 10-week study plan above
4. Exam day: Walk in confident and target 35+/40 in Maths

Every day you delay is a day your competition is practising. Start now.

Practice JAMB Mathematics Free on SchoolHub →

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Last Updated: September 2026 Written by the SchoolHub Team