Mathematics has always been one of the core and most important subjects in the JAMB UTME exam. Whether you’re going for Engineering, Accounting, Computer Science, Economics, Medicine, or any Science-related course, Mathematics determines your success.
Yet, many candidates still see Mathematics as difficult. The truth is, Mathematics is not about cramming — it’s about understanding patterns and practising daily.
If you understand the concepts behind formulas and practice enough questions, scoring above 80 in JAMB 2025 is 100% possible.
This full guide will show you:
✅ All the JAMB 2025 Mathematics topics you must study.
✅ Simple and effective tips to master Mathematics fast.
✅ How to prepare for the CBT exam using OliveLoaded resources and past questions.
🔹 PART 1: WHY MATHEMATICS IS VERY IMPORTANT IN JAMB 2025
Mathematics is the foundation of logic, reasoning, and problem-solving. Every JAMB candidate, whether Science, Social Science, or Commercial, needs Mathematics.
A high score in Mathematics gives you an advantage in courses like:
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Engineering (Mechanical, Electrical, Civil, Computer)
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Accounting, Economics, Statistics
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Physics, Chemistry, Computer Science
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Architecture and Geology
If you master Mathematics, other subjects like Physics, Economics, and Chemistry become easier, because they all depend on mathematical reasoning.
🔹 PART 2: JAMB 2025 MATHEMATICS SYLLABUS — FULL TOPIC LIST
Below are the complete JAMB-approved Mathematics topics to expect in 2025. Every single question in the CBT exam will come from these topics.
1. Number and Numeration
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Number bases (2, 5, 8, 10, 16)
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Conversion between bases
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Fractions, decimals, percentages, ratios, and proportions
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Indices, logarithms, and surds
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Highest Common Factor (HCF) and Lowest Common Multiple (LCM)
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Approximation and significant figures
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Sequence and series (Arithmetic and Geometric)
Tip: JAMB often tests base conversion and logarithm laws. Practise those daily.
2. Algebraic Processes
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Simple and simultaneous equations (linear and quadratic)
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Factorization and expansion
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Algebraic fractions and rational expressions
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Inequalities and modulus
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Variation (direct, inverse, joint)
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Change of subject of formula
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Word problems involving algebra
Formula reminder:
Quadratic formula = −b±b2−4ac2a\frac{-b ± \sqrt{b^2 – 4ac}}{2a}
3. Mensuration
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Perimeter and area of plane figures (triangle, circle, trapezium, parallelogram)
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Surface area and volume of solid figures (cylinder, cone, sphere, cuboid)
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Conversion of units (cm³ to m³, m² to cm²)
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Density, mass, and volume calculations
Common trick: JAMB likes to mix mensuration with ratios.
4. Plane Geometry
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Properties of angles and triangles
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Similar and congruent triangles
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The Pythagoras theorem
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Circle geometry (angles at centre and circumference, cyclic quadrilaterals, tangents)
Tip: Practise geometry diagrams until you can visualize them quickly during CBT.
5. Trigonometry
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Trig ratios (Sine, Cosine, Tangent)
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Trigonometric identities and ratios of special angles (30°, 45°, 60°)
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The sine rule and cosine rule
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Angles of elevation and depression
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Bearings and distance calculations
Example:
sin2θ+cos2θ=1\sin^2 θ + \cos^2 θ = 1 — learn it well.
6. Statistics
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Mean, Median, Mode
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Range, variance, and standard deviation
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Cumulative frequency tables and ogive graphs
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Pie charts and bar charts
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Probability (basic concepts and simple problems)
7. Matrices and Determinants
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Addition, subtraction, and multiplication of matrices
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Determinant of 2×2 and 3×3 matrices
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Inverse of a matrix and solving linear equations using matrices
Formula:
For matrix [abcd]\begin{bmatrix}a & b \\ c & d\end{bmatrix}, determinant = ad − bc
8. Vectors and Transformation Geometry
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Addition and subtraction of vectors
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Magnitude of a vector
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Translation, rotation, reflection, and enlargement
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Coordinates and mid-point formula
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Gradient and equation of a line
Equation of a line: y−y1=m(x−x1)y − y₁ = m(x − x₁)
9. Differentiation and Integration (Calculus)
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Differentiation of simple polynomials
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Gradient of a curve
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Maxima and minima points
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Simple integration of polynomials
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Area under a curve
10. Commercial Arithmetic
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Simple and compound interest
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Profit, loss, and discount
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Commission and taxation
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Rates, ratios, and partnership
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Depreciation
11. Graph and Functions
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Cartesian coordinates and graph drawing
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Linear and quadratic functions
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Domain and range of functions
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Graphical solutions to equations
12. Logical Reasoning and Sets
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Union, intersection, and complement of sets
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Venn diagram applications
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Simple logic statements and truth tables
🔹 PART 3: SMART TIPS TO SCORE 80 AND ABOVE IN JAMB 2025 MATHEMATICS
Here comes the practical part — how to study and perform excellently in the exam.
1. Understand Concepts Before Formulas
Don’t jump into formula memorization.
Understand why the formula works.
For example: Area of a triangle = ½ × base × height. That’s because a triangle is half of a rectangle. When you understand concepts, you never forget them.
2. Study the JAMB Syllabus Topic-by-Topic
Use the topics above as your road map.
Spend at least two days per topic, solving examples and CBT questions.
By exam month, you’ll have covered everything.
3. Use Recommended Textbooks and Past Questions
Top Mathematics textbooks:
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Essential Mathematics by A.J.S. Smith and A. F. Ababio
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New General Mathematics by M.F. Macrae
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Further Mathematics by A.O. Olubajo
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Exam Focus Mathematics
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JAMB Past Questions and Answers
👉 You can message the OliveLoaded.com CEO on WhatsApp for free JAMB 2025 Mathematics past questions and answers to help you practice better.
4. Practice CBT-Style Questions
The 2025 JAMB is fully computer-based.
Use CBT apps or the OliveLoaded online platform to simulate the exam environment.
This helps you get used to the timer, on-screen calculator, and interface.
5. Work Out Problems Daily
Mathematics is learned by solving questions, not by reading notes.
Solve at least 20–30 questions every day from different topics.
When you get a question wrong, don’t skip it — find out why.
6. Create a Formula Notebook
Write down all important formulas and laws in a small book.
Revise them every morning or evening.
Example:
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Areaofcircle=πr2Area of circle = πr^2
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Volumeofsphere=43πr3Volume of sphere = \frac{4}{3}πr^3
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S.I.=P×R×T100S.I. = \frac{P × R × T}{100}
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an=a+(n−1)da_n = a + (n − 1)d
7. Focus on Speed and Accuracy
JAMB gives you about 40 Mathematics questions within 40 minutes (if it’s one of your four subjects).
That’s just 1 minute per question.
Practise timed mock tests so you can solve fast without careless mistakes.
8. Don’t Neglect Theory and Word Problems
Many students fear word problems, but they’re simple once you translate them into mathematical expressions.
Example: “John buys 5 pens for ₦100 each and sells them for ₦120 each. Find his profit percent.”
→ Profit = 20 × 5 = ₦100; Profit % = (100/500)×100 = 20%.
9. Use Online Resources and Tutorials
Watch short YouTube videos or join Telegram/WhatsApp classes that teach JAMB Maths concepts.
OliveLoaded has weekly live Maths sessions where students solve past questions together.
10. Learn Calculator Shortcuts
You will use an on-screen calculator in the CBT exam.
Practise with similar apps beforehand so you don’t waste time pressing wrong keys.
11. Join Study Groups
Studying with friends keeps you motivated.
Create a small JAMB Math WhatsApp group — each member solves five questions daily and explains their answers.
12. Focus on Likely Repeated Topics
Over the years, JAMB repeats these Mathematics topics:
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Quadratic equations
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Geometry of circle and triangles
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Probability
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Sequence and series
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Simple interest and compound interest
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Trigonometry
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Graph of quadratic functions
13. Master Graphs and Diagrams
Learn how to draw and interpret graphs.
JAMB often asks questions like: “Find the gradient of the graph at x = 3.”
Use graph paper during practice to gain speed and accuracy.
14. Avoid Careless Errors
Check units, decimal places, and signs.
For example, mixing up “−” and “+” in algebra is a common error. Be careful.
15. Revise Past Year JAMB Papers
The pattern does not change much.
If you can solve 10 years of JAMB past questions without help, you’re ready for 2025.
16. Read the Questions Carefully
Sometimes JAMB adds “trick words” to confuse you (e.g., least, difference, ratio).
Read twice before answering.
17. Don’t Panic During the Exam
If you see a hard question, skip it and return later.
Answer the easy ones first to build confidence and save time.
18. Stay Healthy and Rested
Don’t study till midnight the day before the exam. Sleep well. A fresh mind solves faster than a tired one.
19. Manage Your Exam Time Wisely
Divide your time:
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10 minutes for quick theory questions
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20 minutes for calculation ones
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10 minutes for review
20. Believe in Yourself
Your mindset matters.
Always say to yourself: “I understand Maths and I can score above 80.”
Confidence improves focus and accuracy.
🔹 PART 4: PRACTICAL EXAMPLES OF LIKELY JAMB 2025 QUESTIONS
Here are sample questions you can use to test yourself:
1️⃣ Simplify: 2x+3−4x+5=02x + 3 − 4x + 5 = 0
→ −2x=−8⇒x=4−2x = −8 ⇒ x = 4
2️⃣ Find the sum of the first 10 terms of an A.P. where a = 3, d = 2.
→ Sn=n/2[2a+(n−1)d]=10/2[6+18]=5×24=120S_n = n/2 [2a + (n − 1)d] = 10/2 [6 + 18] = 5×24 = 120
3️⃣ A cone has radius 3 cm and height 4 cm. Find its volume.
→ V=⅓πr2h=⅓×π×9×4=12π≈37.7cm3V = ⅓ πr²h = ⅓ × π × 9 × 4 = 12π ≈ 37.7 cm³
4️⃣ If y=x2+2x+1y = x² + 2x + 1, find dy/dx.
→ dy/dx = 2x + 2
5️⃣ The probability that a student passes Maths is 0.8. What is the probability that two students both pass?
→ 0.8 × 0.8 = 0.64
6️⃣ Solve for x: log2(x)=3\log_2(x) = 3
→ x = 2³ = 8
7️⃣ Find the mean of 5, 7, 9, 11, 13.
→ (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9
8️⃣ If sin θ = 3/5, find cos θ.
→ cos θ = √(1 − sin² θ)
