Use this page to see the complete JAMB Mathematics workload before you begin. Tick each topic only after you can solve representative questions without help.
JAMB Mathematics topics at a glance
| Section | Topics you must learn | Your main task |
|---|---|---|
| Number and numeration | Number bases; fractions, decimals, approximations and percentages; indices, logarithms and surds; sets | Calculate accurately, convert forms and apply rules without a calculator dependency. |
| Algebra | Polynomials; variation; inequalities; progressions; binary operations; matrices and determinants | Manipulate expressions, solve equations and translate word problems into mathematics. |
| Geometry and trigonometry | Euclidean geometry; mensuration; loci; coordinate geometry; trigonometry | Draw, label, prove and calculate lengths, angles, areas, volumes and coordinates. |
| Calculus | Differentiation; integration | Apply standard rules to gradients, turning points, rates and areas. |
| Statistics and probability | Representation of data; measures of location; measures of dispersion; permutation and combination; probability | Interpret data, calculate summaries and count outcomes systematically. |
How to use the syllabus
Mathematics improves through solving, not rereading. For each topic, learn the rule, study two worked examples, solve ten untimed questions, correct every error and finish with timed questions. Keep an error notebook for formulas forgotten, signs changed, units missed and methods confused.
1. Number and numeration
Practise conversion and arithmetic in different number bases. Work confidently with fractions, decimals, ratios, proportions, percentages, profit and loss, simple and compound interest, approximation, significant figures and standard form. For indices, logarithms and surds, learn the laws and simplify before substituting values. In sets, use notation and Venn diagrams for two- and three-set problems.
2. Algebra
Cover expansion, factorisation, roots, remainders, simultaneous equations and quadratic equations under polynomials. Translate direct, inverse, joint and partial variation into equations before using values. Solve linear and quadratic inequalities and represent answers correctly.
For sequences and series, identify arithmetic and geometric patterns, find terms and sums, and handle simple infinite geometric series. In binary operations, test closure, identity, inverse and associativity where required. For matrices, practise addition, multiplication, determinants and inverses, then use them to solve simultaneous equations.
3. Geometry and trigonometry
Know angle properties, triangles, quadrilaterals, polygons and circle theorems. Do not rely on visual appearance; write the theorem that justifies each step. In mensuration, cover perimeter, area, surface area and volume for plane shapes and solids, including sectors and composite figures.
Study loci and basic construction ideas, then coordinate geometry: distance, midpoint, gradient, equations of lines and relationships between parallel or perpendicular lines. In trigonometry, master sine, cosine and tangent, special angles, identities, bearings, angles of elevation and depression, and sine and cosine rules.
4. Calculus
Differentiate polynomials and simple standard functions, then apply derivatives to gradient, velocity, rate of change, stationary points, maxima and minima. Integrate basic functions, include the constant where appropriate and apply definite integration to simple areas. Check differentiation and integration against each other.
5. Statistics, counting and probability
Interpret tables, bar charts, pie charts, histograms, frequency polygons and cumulative-frequency curves. Calculate mean, median and mode for raw or grouped data and understand range, variance and standard deviation. For permutation and combination, first decide whether order matters. In probability, define the sample space, use complements and handle mutually exclusive or independent events correctly.
High-risk areas
- Word problems: define the unknown and form the equation before calculating.
- Signs and brackets: write every algebraic step instead of doing too much mentally.
- Geometry: label diagrams and cite the relevant property.
- Trigonometry: confirm the angle, sides and calculator mode.
- Statistics: distinguish frequency from class width and midpoint.
- Time pressure: skip a stubborn question and return after collecting easier marks.
Six-week Mathematics study plan
- Week 1: number bases, percentages, indices, logarithms, surds and sets.
- Week 2: polynomials, equations, variation and inequalities.
- Week 3: progressions, operations, matrices and determinants.
- Week 4: geometry, mensuration, coordinates and trigonometry.
- Week 5: differentiation and integration.
- Week 6: statistics, probability and full timed practice.
Complete a minimum of 25 mixed questions on each study day. Twice a week, work without notes under time. Re-solve every failed question after 24 hours and again after seven days.
Choosing study resources
Use the current official syllabus, one clear senior secondary Mathematics textbook, a formula notebook and recent JAMB past questions. A calculator can check arithmetic during learning, but practise mental estimates so you can reject impossible options quickly.
Frequently asked questions
Is Mathematics compulsory for every UTME candidate?
No. Your required subjects depend on your intended course. Confirm your combination in the current JAMB brochure.
Can I prepare by solving past questions only?
No. Past questions reveal patterns, but you still need topic knowledge to handle changed wording and unfamiliar combinations.
What should I do when I cannot solve a question?
Identify the topic, write the known facts, recall the governing rule and solve a simpler version. Then study the worked solution and repeat it without looking.
Return to the complete JAMB syllabus library for other subjects.
Official source
Check the official JAMB Mathematics syllabus PDF for the current detailed objectives and recommended texts.
