JAMB Area of Concentration for Mathematics Subject 2027/2028

The JAMB Area of Concentration for Mathematics Subject covers the main topics you need to study for Mathematics in the UTME. It helps you know the areas to focus on, the types of calculations you should practise, and the mathematical skills you need to develop.

The subject is divided into five major areas: Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics. These sections cover both basic and more advanced mathematical ideas, from number bases, percentages and sets to polynomials, matrices, trigonometry, differentiation, integration, probability and data analysis.

Mathematics requires regular practice. It is not enough to memorise formulas without knowing how to use them. You should be able to calculate accurately, manipulate mathematical expressions, reason logically, interpret graphs and diagrams, and apply mathematical ideas to practical problems.

Some topics involve direct calculation, while others require you to interpret information, draw diagrams, compare values or choose the correct mathematical method. Areas such as logarithms, algebra, mensuration, trigonometry, calculus and statistics need careful practice because several steps may be involved before you reach the correct answer.

This guide will take you through the main JAMB Mathematics topics in simple English, showing what you should study and the important skills you should develop under each section.

Read also: Mathematics JAMB Syllabus 2026/2027 Download PDF

What You Should Learn in JAMB Mathematics

JAMB Mathematics tests more than your ability to remember formulas. You should understand mathematical ideas, know the correct method to use and be able to work through calculations accurately.

One important skill is computation. You should be comfortable working with numbers, fractions, decimals, percentages, logarithms, surds, algebraic expressions, matrices, trigonometric ratios and statistical values.

You also need logical reasoning skills. Some questions may require you to examine the information given, choose a suitable method and follow the correct steps before arriving at an answer.

Another important area is the interpretation of:

• graphs;
• diagrams;
• tables;
• geometric figures;
• statistical data.

You should be able to extract useful information from these forms and use it to solve mathematical problems.

The subject is organised into five broad sections:

1. Number and Numeration
2. Algebra
3. Geometry and Trigonometry
4. Calculus
5. Statistics

Under Number and Numeration, you will work with number bases, fractions, percentages, logarithms, indices, surds and sets.

Algebra covers polynomials, variation, inequalities, progressions, binary operations, matrices and determinants.

Geometry and Trigonometry require you to work with angles, polygons, circles, mensuration, loci, coordinate geometry, bearings and trigonometric ratios.

Calculus introduces limits, differentiation, applications of differentiation and integration.

Statistics covers data representation, averages, measures of dispersion, permutation, combination and probability.

As you study each topic, pay attention to the type of skill required. You may need to:

• calculate;
• simplify;
• factorise;
• convert;
• construct;
• interpret;
• draw;
• compare;
• solve equations;
• apply formulas.

Mathematics also involves practical problems connected with everyday life. Topics such as simple interest, profit and loss, VAT, ratio, rate, percentage increase, measurement and probability show how mathematical ideas can be used outside the classroom.

The important thing is to understand both the method and the calculation. Knowing a formula is useful, but you should also know when to use it and how to apply it correctly.

Section I: Number and Numeration

Number and Numeration covers number bases, fractions, decimals, percentages, indices, logarithms, surds and sets. Many topics in this section require direct calculation, so practise each method until you can use it without confusion.

Number Bases

A number base shows the number of digits used in a number system. For this area, you should be able to work with bases from 2 to 10.

You need to practise the four basic operations:

• addition;
• subtraction;
• multiplication;
• division.

You should also know how to convert a number from one base to another, including conversions that involve fractional parts.

When solving number-base questions, pay close attention to the base written with the number. A value written in base 2 does not represent the same quantity as the same digits written in base 10.

This topic becomes easier when you regularly practise both conversion and arithmetic operations.

Fractions and Decimals

You should be able to perform the basic operations on fractions and decimals.

These include:

• addition;
• subtraction;
• multiplication;
• division.

For fractions, make sure you understand how to work with common denominators, improper fractions and mixed numbers where necessary.

For decimals, position the decimal point correctly during calculations.

Approximations

Approximation requires you to give a number to a stated level of accuracy.

Important areas are:

• significant figures;
• decimal places.

For significant figures, counting begins from the first non-zero digit.

For decimal places, count the number of digits after the decimal point.

You should be able to express answers to the number of significant figures or decimal places requested in a question.

Percentage Error

You should understand how to calculate percentage error.

This topic deals with the difference between an estimated or measured value and the actual value, expressed as a percentage.

Pay attention to which value should be used as the reference when carrying out the calculation.

Simple Interest

Simple interest is another important practical Mathematics topic.

You should know how to calculate interest when the principal, rate and time are given. You may also need to find another quantity when the remaining values are known.

Be careful with time and percentage rates when substituting values into the appropriate relationship.

Profit and Loss Percentage

Profit and loss questions involve comparing the cost price and selling price of an item.

A profit occurs when the selling price is greater than the cost price, while a loss occurs when the selling price is lower.

You should be able to calculate:

• profit;
• loss;
• profit percentage;
• loss percentage.

Read each question carefully because you may be asked to find a missing selling price, cost price or percentage.

Ratio, Proportion and Rate

A ratio compares quantities.

A proportion shows that two ratios are equal.

A rate compares quantities measured in different units.

You should be able to simplify ratios and use ratios or proportions to solve practical problems.

For rate questions, pay attention to the units involved. A question may involve quantities such as distance and time or other values measured in different units.

Shares and Value Added Tax

You should also practise problems involving shares and Value Added Tax (VAT).

Share questions may require an amount to be divided according to a given ratio.

VAT questions involve finding the tax charged on the value of goods or services using a stated percentage.

You may need to calculate the VAT alone or determine the total amount after VAT has been included.

Indices

An index shows the power to which a number or expression is raised.

You should understand and apply the laws of indices in calculations.

These laws are useful when multiplying, dividing or simplifying expressions containing powers.

Be especially careful when working with negative, zero or fractional indices.

Standard Form

Standard form is used to express very large or very small numbers in a shorter mathematical form.

You should know how to:

• convert ordinary numbers to standard form;
• convert standard form back to ordinary notation;
• perform calculations involving numbers written in standard form.

Positioning the decimal point correctly is important in this topic.

Logarithms

You should understand the laws of logarithms and know how to use them when solving problems.

Important areas include:

• logarithms of positive numbers;
• logarithms to a given base;
• change of base;
• relationships between indices and logarithms;
• calculations involving logarithms in different bases.

Indices and logarithms are closely related, so understanding one can make the other easier.

You should be able to change an exponential statement into logarithmic form and work in the opposite direction when needed.

Surds

A surd is an irrational root that is kept in its exact form.

You should practise:

• simplifying surds;
• performing basic operations involving surds;
• rationalising expressions containing surds.

Rationalisation removes a surd from the denominator of a fraction.

This area requires careful algebraic manipulation, so avoid rushing through the steps.

Sets

A set is a collection of clearly defined objects or elements.

You should understand the main types of sets, including:

• empty set;
• universal set;
• complement;
• subset;
• finite set;
• infinite set;
• disjoint sets.

You should also know how to work with cardinality, which refers to the number of elements in a set.

Algebra of Sets and Venn Diagrams

Set problems often use symbols to show operations and relationships.

You should understand the symbols used for:

• union;
• intersection;
• complement;
• subset.

Venn diagrams are used to represent relationships among sets visually.

You should be able to solve problems involving up to three sets using a Venn diagram. Pay close attention to elements that belong to more than one set because the overlapping regions must be handled correctly.

For Number and Numeration, regular calculation is important. Give enough practice to number-base conversions, percentage problems, logarithms, surds and Venn diagrams because these areas may require several steps before you reach the final answer.

Section II: Algebra

Algebra deals with mathematical expressions, equations, inequalities, progressions, binary operations, matrices and determinants. This section requires careful manipulation of symbols and a good understanding of the rules used in each type of problem.

Polynomials

A polynomial is an algebraic expression made up of terms involving variables raised to non-negative whole-number powers.

For this area, you should be able to work with polynomials of degree not greater than 3.

Important areas include:

• changing the subject of a formula;
• factor theorem;
• remainder theorem;
• factorisation;
• multiplication and division of polynomials;
• roots of polynomials;
• simultaneous equations;
• graphs of polynomials.

Changing the Subject of a Formula

Changing the subject means rearranging a formula so that a particular variable stands alone.

You should be able to move terms correctly from one side of an equation to another and perform the same mathematical operation on both sides where necessary.

This skill is useful in many other Mathematics topics because formulas may need to be rearranged before values can be substituted.

Factor and Remainder Theorems

The factor theorem helps you determine whether a particular expression is a factor of a polynomial.

The remainder theorem helps you find the remainder when a polynomial is divided by a linear expression.

You should understand how to apply both theorems when solving polynomial problems.

Factorisation of Polynomials

You should practise factorising expressions using methods such as:

• grouping;
• difference of two squares;
• perfect square expressions;
• cubic expressions.

Factorisation can also help you find the roots of a polynomial.

Be careful to check whether the expression can be simplified further after the first stage of factorisation.

Multiplication and Division of Polynomials

You should be able to multiply and divide polynomial expressions up to degree 3.

When multiplying, expand terms carefully and combine like terms.

For division, follow the correct arrangement of terms according to descending powers before carrying out the operation.

Roots of Polynomials

The roots of a polynomial are values of the variable that make the polynomial equal to zero.

You may find roots through factorisation or other suitable methods.

You should also understand the relationship between factors and roots.

Simultaneous Equations

You should be able to solve simultaneous equations involving:

• one linear equation;
• one quadratic equation.

These questions require you to find values that satisfy both equations.

A common method is to make one variable the subject of the linear equation and substitute it into the quadratic equation.

Work carefully because the quadratic part may give more than one possible solution.

Graphs of Polynomials

You should understand graphs of polynomial functions up to degree 3.

You may need to:

• plot points;
• identify roots from a graph;
• interpret turning points;
• identify maximum or minimum values.

Graphs can provide useful information about the behaviour of a polynomial without solving every part algebraically.

Variation

Variation describes how one quantity changes in relation to another.

You should study:

• direct variation;
• inverse variation;
• joint variation;
• partial variation.

In direct variation, one quantity changes in the same direction as another.

In inverse variation, one quantity increases as another decreases.

Joint variation involves a quantity depending on two or more other quantities together.

Partial variation involves a quantity having both a constant part and a varying part.

You should be able to form the correct mathematical relationship and use it to solve for unknown values.

Percentage Increase and Decrease

Variation questions may also involve percentage increase and percentage decrease.

You should be able to calculate the amount of change and the new value after an increase or decrease.

Always identify the original value before calculating the percentage change.

Inequalities

An inequality compares two quantities using symbols such as greater than or less than.

You should study:

• linear inequalities;
• graphical solutions of linear inequalities;
• quadratic inequalities with integral roots.

For linear inequalities, solve them in a similar way to equations, but remember that multiplying or dividing by a negative number changes the direction of the inequality sign.

You should also be able to interpret inequalities on graphs.

Quadratic Inequalities

Quadratic inequalities require you to find the range of values that satisfy a quadratic expression.

You may need to factorise the quadratic expression first, find its roots and then determine the correct interval.

Pay attention to whether the question uses greater than, less than, greater than or equal to, or less than or equal to.

Progressions

A progression is a sequence of numbers that follows a particular pattern.

The two main types covered are:

• Arithmetic Progression (AP)
• Geometric Progression (GP)

Arithmetic Progression

In an Arithmetic Progression, the difference between consecutive terms is constant.

You should be able to:

• find the common difference;
• determine the nth term;
• calculate the sum of a given number of terms.

When solving an AP question, first identify the first term and common difference.

Geometric Progression

In a Geometric Progression, consecutive terms are related by a constant ratio.

You should be able to:

• find the common ratio;
• determine the nth term;
• calculate the sum of a given number of terms;
• calculate the sum to infinity where applicable.

The sum to infinity only applies in suitable cases, so check the common ratio carefully.

Binary Operations

A binary operation combines two elements according to a stated rule.

You should understand the following properties:

• closure;
• commutativity;
• associativity;
• distributivity.

You should also be able to work with:

• identity elements;
• inverse elements.

Do not assume an operation behaves like ordinary addition or multiplication. Use the rule given in the question.

Matrices

A matrix is a rectangular arrangement of numbers in rows and columns.

You should be able to perform basic operations on matrices up to 3 × 3.

These include:

• addition;
• subtraction;
• multiplication.

For addition and subtraction, the matrices must have suitable dimensions.

For multiplication, pay attention to the number of rows and columns because matrix multiplication follows specific rules.

Determinants

You should be able to calculate determinants of matrices up to 3 × 3.

The determinant produces a single value from a square matrix.

Work carefully with signs when expanding a determinant.

Inverse of a Matrix

You should know how to find the inverse of a 2 × 2 matrix.

The inverse can be used in certain calculations and equation problems.

Before finding an inverse, check that the determinant is not zero, because a matrix with a zero determinant does not have the required inverse.

For Algebra, give regular practice to factorisation, simultaneous equations, variation, inequalities, progressions and matrices. These topics often require several connected steps, so accuracy in one stage affects the final answer.

Section III: Geometry and Trigonometry

Geometry and Trigonometry cover angles, shapes, circles, measurement, loci, coordinate geometry and trigonometric relationships. Many questions in this section require you to draw or interpret diagrams before carrying out calculations.

Euclidean Geometry

Euclidean Geometry deals with the properties of lines, angles and plane shapes.

You should understand different types of lines and angles and know how their properties are used in calculations.

Important areas include:

• angles on a straight line;
• angles around a point;
• vertically opposite angles;
• angles formed by parallel lines;
• angles in triangles;
• angles in quadrilaterals;
• angles in general polygons.

You should be able to apply these properties when finding unknown angles.

Polygons

A polygon is a closed plane shape made up of straight sides.

Important polygons include:

• triangles;
• quadrilaterals;
• other regular and irregular polygons.

You should understand how to calculate unknown interior and exterior angles and apply the relevant properties of each shape.

For triangles, pay attention to their angle properties and the relationships among their sides where required.

Circles

Circle geometry is another important area.

You should study:

• angle properties of circles;
• cyclic quadrilaterals;
• intersecting chords;
• relationships among angles formed by chords, radii and other parts of a circle.

You should be able to apply circle theorems correctly when calculating unknown angles.

A diagram may contain several angle relationships at the same time, so identify the correct theorem before beginning the calculation.

Geometrical Construction

You should understand the procedures used in basic geometrical construction.

Important special angles include:

• 30°;
• 45°;
• 60°;
• 75°;
• 90°.

Construction questions depend on accurate use of geometric principles. You should understand the steps involved rather than only memorising the final diagram.

Mensuration

Mensuration deals with the measurement of lengths, areas, surface areas and volumes.

You should know how to work with both plane figures and solid shapes.

Perimeter and Area of Plane Figures

You should be able to calculate the perimeter and area of:

• triangles;
• quadrilaterals;
• circles;
• composite figures.

A composite figure is made up of two or more simpler shapes.

When working with a composite figure, divide it into familiar shapes, calculate each required part and then combine the results correctly.

Circles, Arcs, Sectors and Segments

For circles, you should understand how to calculate:

• circumference;
• area;
• length of an arc;
• length of a chord;
• perimeter of a sector;
• area of a sector;
• area of a segment.

A sector is a region bounded by two radii and an arc.

A segment is a region bounded by a chord and an arc.

Read the diagram carefully so you do not confuse the two.

Surface Area and Volume of Solids

You should know how to calculate the total surface area and volume of simple solids such as:

• cuboids;
• cylinders;
• cones;
• pyramids;
• prisms;
• spheres.

Composite solids may combine two or more of these shapes.

For such questions, identify the individual solids before choosing the correct formulas.

Always pay attention to units. Length is measured in ordinary units, area in square units and volume in cubic units.

The Earth as a Sphere

You should also study problems involving the Earth as a sphere.

Important ideas include:

• longitude;
• latitude;
• distance between two points on the Earth’s surface.

These questions combine geometry with measurements on a spherical surface, so diagrams can help you understand the information given.

Loci

A locus is the path traced by a point that moves according to a particular condition.

You should be able to identify and interpret loci involving:

• parallel lines;
• perpendicular bisectors;
• angle bisectors;
• circles.

For example, points that remain the same distance from two fixed points lie on the perpendicular bisector of the line joining those points.

Loci questions often become easier when you draw the conditions carefully.

Coordinate Geometry

Coordinate Geometry uses algebra to study points and straight lines on a coordinate plane.

Important areas include:

• midpoint;
• gradient;
• distance between two points;
• parallel lines;
• perpendicular lines;
• equations of straight lines.

Midpoint of a Line Segment

The midpoint is the point exactly halfway between two endpoints.

You should be able to determine the coordinates of the midpoint when the coordinates of both endpoints are given.

Gradient

The gradient shows the steepness or slope of a straight line.

You should be able to calculate it from two points on the line.

The gradient also helps you determine whether two lines are parallel or perpendicular.

Distance Between Two Points

You should know how to calculate the distance between two points on the coordinate plane.

Be careful when substituting positive and negative coordinates.

Parallel and Perpendicular Lines

Parallel lines have a particular relationship between their gradients.

Perpendicular lines also have a specific gradient relationship.

You should be able to recognise these conditions and use them to solve straight-line problems.

Equations of Straight Lines

You should understand the different forms of the equation of a straight line, including:

• two-point form;
• point-slope form;
• slope-intercept form;
• general form.

A question may give you two points, one point and a gradient, or other information from which the equation must be formed.

Choose the form that best matches the information provided.

Trigonometry

Trigonometry deals with relationships involving angles and sides of triangles.

The three main trigonometric ratios are:

• sine;
• cosine;
• tangent.

You should be able to calculate these ratios for angles between -360° and 360°.

You should also understand the values and applications of important angles such as:

• 30°;
• 45°;
• 60°;
• 75°;
• 90°;
• 105°;
• 135°.

Angles of Elevation and Depression

An angle of elevation is measured upward from a horizontal line when looking at an object above you.

An angle of depression is measured downward from a horizontal line when looking at an object below you.

These questions often form right-angled triangles.

Draw a clear diagram, label the known values and select the correct trigonometric ratio.

Bearings

Bearings are used to describe direction.

You should be able to solve problems involving bearings and distances.

Diagrams are very important in this area. Draw the directions correctly before applying geometry or trigonometry.

Area and Solution of Triangles

You should understand how trigonometric relationships can be used to find:

• missing sides;
• missing angles;
• areas of triangles.

Important formulas include the sine rule and cosine rule.

You should know when each one is suitable.

The sine rule is useful when you have matching side-angle information, while the cosine rule is useful in other triangle situations involving sides and angles.

Sine and Cosine Graphs

You should also understand the graphs of sine and cosine.

Pay attention to:

• the shape of each graph;
• important angle values;
• maximum and minimum values;
• how the graph changes as the angle changes.

You may need to interpret information directly from a graph or connect the graph with trigonometric values.

Geometry and Trigonometry require a mixture of theorem knowledge, formula use, diagram interpretation and calculation. Practise drawing clear diagrams because a correct diagram often makes it easier to choose the right method.

Section IV: Calculus

Calculus covers limits, differentiation, applications of differentiation and integration. This section requires you to understand how quantities change and how mathematical functions can be analysed.

Limits

A limit describes the value that a function approaches as its variable approaches a particular value.

You should be able to find the limit of simple functions.

When solving limit questions, substitute values carefully and simplify expressions where necessary before deciding on the final answer.

Limits are important because they provide a foundation for differentiation.

Differentiation

Differentiation is used to find how quickly one quantity changes in relation to another.

You should be able to differentiate:

• explicit algebraic functions;
• simple sine functions;
• simple cosine functions;
• simple tangent functions.

For algebraic functions, pay attention to the powers of the variable and apply the correct differentiation rule.

You should also understand the basic derivatives connected with simple trigonometric functions.

Do not only memorise the rules. Practise using them in different expressions so you can recognise which rule is needed.

Applications of Differentiation

Differentiation can be applied to practical mathematical problems.

The main areas are:

• rate of change;
• maximum values;
• minimum values.

Rate of Change

A rate of change shows how one quantity changes as another quantity changes.

Differentiation can help determine the rate at which a quantity is increasing or decreasing at a particular point.

You should be able to apply differentiation to simple rate-of-change problems.

Maximum and Minimum Values

Differentiation can also be used to find maximum and minimum values of functions.

A maximum point represents a high point on a curve, while a minimum point represents a low point.

You should understand how differentiation is used to locate these points and solve related problems.

When working with maximum and minimum questions, carry out each step carefully and interpret the result correctly.

Integration

Integration can be viewed as the reverse of differentiation in simple cases.

You should be able to integrate:

• explicit algebraic functions;
• simple trigonometric functions.

For algebraic expressions, pay attention to the powers of the variable and apply the correct integration rule.

You should also know how to integrate simple expressions involving sine and cosine where required.

Area Under a Curve

One important application of integration is finding the area under a curve.

You should be able to calculate simple areas bounded by a curve and the relevant limits.

Read the question carefully to identify the correct interval before carrying out the integration.

Calculus becomes easier with repeated practice. Give attention to the relationship between limits, differentiation and integration, and make sure you can apply differentiation to rate-of-change, maximum and minimum problems and integration to simple area calculations.

Section V: Statistics

Statistics deals with the collection, presentation, interpretation and analysis of data. This section covers data representation, measures of location, measures of dispersion, permutation, combination and probability.

You should be able to read statistical information correctly, carry out calculations and interpret results.

Representation of Data

Data can be presented in different forms to make it easier to understand.

Important forms include:

• frequency distribution tables;
• histograms;
• bar charts;
• pie charts.

Frequency Distribution

A frequency distribution shows how often different values or groups of values occur.

You should be able to read a frequency table and use the information to answer questions.

Pay attention to:

• values or class intervals;
• frequencies;
• total frequency.

A frequency table may also provide the information needed for calculating the mean, median or other statistical values.

Histogram

A histogram is used to represent numerical data with adjoining bars.

You should be able to interpret the information shown in a histogram and connect the bars with the frequencies or intervals they represent.

Read the axes carefully before answering a question.

Bar Chart

A bar chart represents data using separate rectangular bars.

The height or length of each bar represents the value or frequency of a particular category.

You should be able to compare values and extract information from a bar chart.

Pie Chart

A pie chart is a circle divided into sectors.

Each sector represents a proportion of the total data.

You may need to interpret the size of a sector or use information from the chart to determine the value represented by a category.

When working with a pie chart, remember that the complete circle represents the whole set of data.

Measures of Location

Measures of location help describe where values are positioned within a set of data.

The main measures are:

• mean;
• mode;
• median.

You should be able to calculate them for both ungrouped and grouped data in simple cases.

Mean

The mean is the average value of a set of data.

For ungrouped data, it is found by adding the values and dividing by the number of values.

For grouped data, you may need to use the frequencies together with the relevant values.

Work carefully with frequency tables because using a value without its frequency can lead to an incorrect answer.

Mode

The mode is the value that occurs most frequently.

In simple ungrouped data, identify the value with the highest frequency.

For grouped data, identify the class with the greatest frequency where required.

Median

The median is the middle value when data is arranged in order.

For ungrouped data, arrange the values from the smallest to the largest before locating the middle position.

You should also understand how median information may be obtained from grouped data in simple cases.

Cumulative Frequency

Cumulative frequency is obtained by adding frequencies progressively.

It can be used to create an ogive, which is a cumulative frequency curve.

You should understand how to use an ogive to find:

• median;
• quartiles;
• percentiles.

Quartiles and Percentiles

Quartiles divide a set of data into four parts.

Percentiles divide data into one hundred parts.

You should be able to obtain these values from cumulative frequency information or an ogive where required.

Read the graph carefully and use the correct scale.

Measures of Dispersion

Measures of dispersion show how widely data values are spread.

Important measures include:

• range;
• mean deviation;
• variance;
• standard deviation.

You should be able to calculate these for grouped and ungrouped data.

Range

The range is the difference between the largest and smallest values in a data set.

It gives a simple idea of how widely the values are spread.

Mean Deviation

Mean deviation measures the average distance of the data values from a central value.

You should follow the correct steps when calculating it and pay attention to the values and their frequencies where grouped data is involved.

Variance

Variance measures how far the values in a set of data are spread around the mean.

You should know how to calculate it using the required data.

Standard Deviation

Standard deviation is another measure of spread and is closely related to variance.

You should understand how to calculate it for simple grouped and ungrouped data.

These calculations can involve several steps, so organise your working clearly.

Permutation and Combination

Permutation and combination deal with the different ways objects can be arranged or selected.

Permutation

A permutation deals with arrangements where order is important.

You should practise problems involving:

• linear arrangements;
• circular arrangements;
• repeated objects.

In a linear arrangement, objects are arranged in a line.

In a circular arrangement, objects are arranged around a circle.

Repeated objects require special attention because some arrangements may look the same after identical objects are exchanged.

Combination

A combination deals with selection where order is not important.

You should be able to distinguish between a question asking for an arrangement and one asking for a selection.

This distinction helps you decide whether to use permutation or combination.

Probability

Probability measures the chance that an event will occur.

You should understand simple experimental probability and problems involving the addition and multiplication of probabilities.

Experimental Probability

Experimental probability may involve activities such as:

• tossing a coin;
• throwing a die.

You should be able to determine probabilities from the possible outcomes of such experiments.

Addition of Probabilities

The addition of probabilities is useful when finding the probability that one event or another event occurs.

You should understand situations involving mutually exclusive events.

Mutually exclusive events cannot occur at the same time.

Read the wording of the question carefully to determine whether the events can occur together.

Multiplication of Probabilities

Multiplication is used in certain situations where more than one event is involved.

You should understand problems involving independent events.

Independent events are events where the occurrence of one does not affect the occurrence of the other.

For Statistics, do not focus only on formulas. Practise reading tables and graphs, calculating averages and measures of spread, and deciding whether a question requires permutation, combination or probability.

How to Use the JAMB Mathematics Topics for Revision

Mathematics improves with regular practice. A good revision plan should help you understand the method behind each topic and also give you enough practice to solve questions accurately.

Start by dividing the subject into the five major areas:

• Number and Numeration
• Algebra
• Geometry and Trigonometry
• Calculus
• Statistics

Do not try to revise every topic at once. Work through one area at a time and make sure you understand the formulas, rules and steps involved.

For Number and Numeration, practise:

• number-base operations and conversions;
• fractions and decimals;
• approximations;
• percentages;
• simple interest;
• ratio and proportion;
• indices;
• logarithms;
• surds;
• sets and Venn diagrams.

These topics may look simple, but errors can come from small mistakes in calculation or interpretation.

For Algebra, give extra attention to:

• factorisation;
• changing the subject of a formula;
• simultaneous equations;
• polynomials;
• variation;
• inequalities;
• AP and GP;
• binary operations;
• matrices and determinants.

When solving algebraic problems, write your steps clearly. This makes it easier to spot mistakes.

For Geometry and Trigonometry, draw diagrams where necessary. Practise:

• angle properties;
• circle theorems;
• mensuration;
• loci;
• coordinate geometry;
• trigonometric ratios;
• bearings;
• sine and cosine rules.

Make sure you know the formulas used for perimeter, area, surface area and volume.

For Calculus, practise differentiation and integration regularly. You should also understand how differentiation is used in rate of change, maximum and minimum problems, and how integration is used to find area under a curve.

For Statistics, work with:

• frequency tables;
• bar charts;
• histograms;
• pie charts;
• mean;
• median;
• mode;
• cumulative frequency;
• range;
• variance;
• standard deviation;
• permutation;
• combination;
• probability.

Do not only memorise formulas. Solve enough examples to understand when each formula should be used.

Another useful method is to keep a separate list of formulas and important rules. Review the list regularly, but always combine formula revision with actual calculations.

When you make a mistake, check whether the problem came from:

• using the wrong formula;
• substituting the wrong value;
• misunderstanding the question;
• making an arithmetic error;
• skipping an important step.

This helps you correct the real problem instead of repeating the same mistake.

Also practise interpreting graphs, diagrams and tables because some questions may test understanding rather than direct calculation.

The best approach is to combine topic revision with regular problem solving. Mathematics becomes easier when you repeatedly apply the same ideas in different types of questions.

Recommended Texts for JAMB Mathematics

The following books can support your JAMB Mathematics revision:

• A.A. Adelodun, Distinction in Mathematics: Comprehensive Revision Text.
• J.A.B. Anyebe, Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher Institutions.
• J.B. Channon and A.M. Smith, New General Mathematics for West Africa SSS 1 to 3.
• M. David-Osuagwu et al., New School Mathematics for Senior Secondary Schools.

These texts cover different areas of Mathematics, including number work, algebra, geometry, trigonometry, calculus and statistics.

Read also: Full List of JAMB Recommended Textbooks for Mathematics 2027/2028

Use them to strengthen areas where you need more practice, especially topics that involve several calculation steps or require repeated problem solving.

Key Points to Remember

• JAMB Mathematics is divided into five major sections: Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.
• Under Number and Numeration, practise number bases, fractions, decimals, approximations, percentages, indices, logarithms, surds and sets.
• Be able to convert numbers from one base to another and perform basic operations in different number bases.
• Understand significant figures, decimal places, percentage error, simple interest, profit and loss, ratio, proportion, rate, shares and VAT.
• Know the laws of indices and logarithms, and practise simplifying and rationalising surds.
• Use Venn diagrams correctly for set problems involving up to three sets.
• Under Algebra, practise polynomials, simultaneous equations, variation, inequalities, progressions, binary operations and matrices.
• Know how to apply the factor and remainder theorems and factorise polynomials up to degree 3.
• Understand Arithmetic Progression and Geometric Progression, including the nth term, sums and sum to infinity of a suitable GP.
• Know the properties of binary operations, including closure, commutativity, associativity, distributivity, identity and inverse.
• Practise matrix operations, determinants and the inverse of a 2 × 2 matrix.
• Under Geometry, understand angles, polygons, circles, geometrical constructions, mensuration and loci.
• Know how to calculate perimeter, area, surface area and volume for the required plane and solid figures.
• Pay attention to arcs, sectors, segments, longitude and latitude.
• In Coordinate Geometry, practise midpoint, gradient, distance between points and equations of straight lines.
• Under Trigonometry, understand sine, cosine, tangent, bearings, angles of elevation and depression, sine rule, cosine rule, and sine and cosine graphs.
• For Calculus, practise limits, differentiation, rate of change, maxima, minima, integration and area under a curve.
• Under Statistics, understand frequency tables, histograms, bar charts, pie charts and cumulative frequency.
• Know how to calculate mean, median, mode, range, mean deviation, variance and standard deviation.
• Be able to distinguish between permutation and combination and solve simple arrangement and selection problems.
• Practise probability involving coins, dice, addition of probabilities and multiplication of probabilities.
• Do not depend on formulas alone. Make sure you understand when to use each formula and how to apply it correctly.
• Check your units, signs, substitutions and arithmetic before accepting a final answer.
• Regular problem solving is one of the best ways to improve your accuracy and confidence in Mathematics.

Frequently Asked Questions

Conclusion

The JAMB Area of Concentration for Mathematics Subject covers five major areas: Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.

To do well in Mathematics, you need more than memorised formulas. You should understand how to apply each rule, solve problems step by step, interpret graphs and diagrams, and check your calculations carefully.

Give regular attention to number bases, percentages, logarithms, sets, polynomials, matrices, geometry, trigonometry, differentiation, integration, statistics and probability. Topics that involve several calculation steps need repeated practice until the method becomes clear.

Use the topic list to organise your revision, practise different types of questions, and make sure you understand why each method works.

If you have any questions about the JAMB Mathematics topics, you can leave a comment. You can also share this guide with other students who may find it useful.