Preparing for JAMB 2027? Practicing past questions is one of the fastest ways to raise your Mathematics score.
Below you’ll find free sample questions with step-by-step solutions, and the complete JAMB Mathematics past questions and answers from 1978 to date.
Mathematics decides admission for many courses, and most candidates lose marks on questions they could have solved with a little practice.
This page gives you 20 free JAMB style Mathematics questions with full solutions, a free sample PDF, and the complete past questions pack (1978 to date) for 2027 Jamb Exam.
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What to expect in JAMB Mathematics
JAMB typically sets 40 questions for Mathematics. The whole UTME has 180 questions to be completed in 120 minutes, so you have to be fast as well as correct. The exam is computer-based, with multiple-choice questions.
The main topics are number bases, algebra, geometry, trigonometry, statistics, probability, and basic calculus. The questions below cover all of them.
Tip: Practice without a calculator. JAMB has banned calculators in the exam hall in recent years, so confirm the latest rules on JAMB’s official site.
20 Free JAMB Mathematics practice questions with solutions
Take a pen and paper and give yourself 25 minutes. Don’t scroll to the answers until you’ve tried every question.
Section A: Number, sets and indices
1. Convert 45 (base 10) to base 2.
A. 101101 B. 101011 C. 110101 D. 100111
Answer: A. 45 = 32 + 8 + 4 + 1, so the binary digits are 1 0 1 1 0 1. That gives 101101₂.
2. Express 0.00364 in standard form.
A. 3.64 × 10⁻² B. 3.64 × 10⁻³ C. 3.64 × 10³ D. 3.64 × 10⁻⁴
Answer: B. Move the decimal point 3 places to the right to get 3.64, so the power is −3: 3.64 × 10⁻³.
3. Evaluate log₂ 32 + log₁₀ 100.
A. 5 B. 6 C. 7 D. 8
Answer: C. 2⁵ = 32, so log₂ 32 = 5. 10² = 100, so log₁₀ 100 = 2. Total = 7.
4. Simplify (2⁵ × 2³) ÷ 2⁶.
A. 2 B. 4 C. 8 D. 16
Answer: B. Add the powers on top: 2⁸. Subtract the bottom power: 2⁸⁻⁶ = 2² = 4.
5. In a class of 30 students, 18 like Mathematics, 15 like English, and 5 like neither. How many like both?
A. 5 B. 8 C. 10 D. 13
Answer: B. Students who like at least one subject = 30 − 5 = 25. Use 18 + 15 − both = 25, so 33 − both = 25, giving both = 8.
Section B: Algebra and coordinate geometry
6. Solve x² − 5x + 6 = 0.
A. x = −2 or −3 B. x = 2 or 3 C. x = 1 or 6 D. x = −1 or −6
Answer: B. Find two numbers that multiply to 6 and add to −5: −2 and −3. So (x − 2)(x − 3) = 0, giving x = 2 or 3.
7. P varies directly as the square of q. If P = 18 when q = 3, find P when q = 5.
A. 30 B. 40 C. 50 D. 90
Answer: C. P = kq². From 18 = k(9), k = 2. Then P = 2(25) = 50.
8. Make x the subject of the formula y = (2x + 1)/3.
A. (3y − 1)/2 B. (3y + 1)/2 C. (y − 1)/6 D. 2(3y − 1)
Answer: A. Multiply both sides by 3: 3y = 2x + 1. Then 2x = 3y − 1, so x = (3y − 1)/2.
9. Solve the inequality 2x − 3 > 7.
A. x > 2 B. x > 5 C. x < 5 D. x > 10
Answer: B. Add 3: 2x > 10. Divide by 2: x > 5.
10. Find the gradient of the line joining (1, 2) and (3, 8).
A. 2 B. 3 C. 4 D. 6
Answer: B. Gradient = (8 − 2)/(3 − 1) = 6/2 = 3.
Section C: Geometry and mensuration
11. What is the sum of the interior angles of a hexagon?
A. 540° B. 720° C. 900° D. 1080°
Answer: B. Sum = (n − 2) × 180° = 4 × 180° = 720°.
12. Find the length of an arc that subtends 90° at the centre of a circle of radius 14 cm. (Take π = 22/7)
A. 11 cm B. 22 cm C. 44 cm D. 88 cm
Answer: B. Arc = (90/360) × 2πr = ¼ × 2 × (22/7) × 14 = ¼ × 88 = 22 cm.
13. A cylinder has radius 7 cm and height 10 cm. Find its volume. (Take π = 22/7)
A. 154 cm³ B. 770 cm³ C. 1540 cm³ D. 3080 cm³
Answer: C. V = πr²h = (22/7) × 49 × 10 = 22 × 7 × 10 = 1540 cm³.
14. A 13 m ladder leans against a wall with its foot 5 m from the wall. How high up the wall does it reach?
A. 8 m B. 10 m C. 12 m D. 18 m
Answer: C. By Pythagoras, height² = 13² − 5² = 169 − 25 = 144, so height = 12 m.
Section D: Trigonometry
15. If sin θ = 3/5 and θ is acute, find cos θ.
A. 3/4 B. 4/5 C. 5/4 D. 5/3
Answer: B. Draw a right triangle with opposite = 3 and hypotenuse = 5. The adjacent side is √(25 − 9) = 4. So cos θ = 4/5.
16. Evaluate tan 60° × cos 30°.
A. 1/2 B. 1 C. 3/2 D. 3
Answer: C. tan 60° = √3 and cos 30° = √3/2. Multiply: (√3 × √3)/2 = 3/2.
Section E: Statistics and probability
17. Find the median of 2, 9, 4, 7, 5, 10.
A. 5 B. 6 C. 6.5 D. 7
Answer: B. Arrange in order: 2, 4, 5, 7, 9, 10. With six numbers, the median is the average of the 3rd and 4th: (5 + 7)/2 = 6.
18. Two coins are tossed together. What is the probability of getting at least one head?
A. 1/4 B. 1/2 C. 3/4 D. 1
Answer: C. The outcomes are HH, HT, TH, TT. Three of the four have at least one head, so the probability is 3/4.
Section F: Calculus
19. Differentiate y = 3x² + 5x − 2 with respect to x.
A. 6x + 5 B. 3x + 5 C. 6x − 2 D. 6x² + 5
Answer: A. Multiply by the power and reduce the power by 1: 3x² becomes 6x, 5x becomes 5, and the constant disappears. So dy/dx = 6x + 5.
20. Evaluate ∫₀³ 2x dx.
A. 3 B. 6 C. 9 D. 18
Answer: C. The integral of 2x is x². Evaluate: 3² − 0² = 9.
How to use past questions to raise your score
- Practice by topic first. Do 10 to 15 questions on one topic until you stop making mistakes in it.
- Switch to timed sets. Aim for about 40 questions in 40 minutes, with the final target of finishing quicker than that so you have time to spare.
- Keep an error notebook. Write down every question you miss and why. Revisit it a day later and again a week later.
- Learn the method, not the answer. JAMB changes the numbers, so memorized answers won’t help but understood methods will.
- Practice on a computer. JAMB is computer-based, so get used to reading and answering on a screen.
You Can Use This government past questions and answers for free – Jamb Mathematics Past Questions -Nkedugists
Common Jamb Mistakes that Cost Candidates Exam Marks In Mathematics
- Rushing and making sign errors (especially with negatives in algebra)
- Forgetting to convert units before calculating
- Spending five minutes on one hard question while easy ones wait
- Leaving questions unanswered (there’s no negative marking, so always pick an option)
- Memorizing answers instead of understanding the steps
Get the full pack of the Jamb Mathematics Past Questions
The complete JAMB Mathematics Past Questions and Answers (1978 to date) is available as a PDF for ₦2,000.
How to Purchase The Complete Jamb Mathematics Past Question and Answer PDF
Make a payment of #2000 to the following account number, The Jamb Mathematics past question is from the Jamb past question pack directly which will guide and direct you on how many hours you are to spend in the exam hall.
Account Name – Momoh Andrew Annoghena
Bank – Access Diamond Bank
Account Number – 0039294653
After payment, send a screenshot of your payment receipt to 09076251767 on WhatsApp or Nkedugist@gmail.com for confirmation and you will quickly get your past questions.
We have the complete and up-to-date Jamb Mathematics past questions and answers for these categories packed for you. The moment you pay and the proof is shown on WhatsApp you get your Jamb Mathematics Past Question and Answers in pdf format immediately.
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Frequently Asked Questions
Are these the real JAMB past questions? These 20 are JAMB-style practice questions written to match the patterns JAMB uses. The complete pack contains actual past questions collected from 1978 to date.
How many Mathematics questions are in JAMB? JAMB typically sets 40 questions for Mathematics.
Does JAMB repeat Mathematics past questions? Exact questions change, but topics and question styles repeat often. That’s why practicing past questions works.
What are the most important topics? Algebra, number bases, geometry, trigonometry, and statistics appear regularly, so give them priority.
How do I score high in JAMB Mathematics? Practice by the topics provided, then time yourself while answering questions. Review every mistake, and try to finish with some minutes to spare.
Is the free sample enough? It’s a good start. The full pack gives you far more questions across every topic and year.
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