--- title: "WAEC General Mathematics Areas of Concentration 2027/2028" url: https://examloaded.com/waec-general-mathematics-areas-of-concentration/ date: 2026-10-13 modified: 2026-10-16 lang: en author: "Rabiu Francis" description: "See the WAEC General Mathematics Areas of Concentration 2027/2028, including algebra, mensuration, geometry, trigonometry, calculus, statistics, probability and vectors. The WAEC General Mathematics Areas of Concentration 2027/2028 will help you..." categories: - "2027 Official WAEC Exam Insights: Practice Questions, and Syllabus" tags: - "WAEC Areas of concentration 2027" image: https://examloaded.com/wp-content/uploads/2026/10/WAEC-General-Mathematics-Areas-of-Concentration-2027-2028.webp word_count: 4633 --- # WAEC General Mathematics Areas of Concentration 2027/2028 See the WAEC General Mathematics Areas of Concentration 2027/2028, including algebra, mensuration, geometry, trigonometry, calculus, statistics, probability and vectors. The **WAEC General Mathematics Areas of Concentration 2027/2028** will help you organise your revision around the major mathematical concepts, calculations, graphs and problem-solving skills contained in the General Mathematics syllabus. [![WAEC General Mathematics Areas of Concentration 2027/2028](https://examloaded.com/wp-content/uploads/2026/10/WAEC-General-Mathematics-Areas-of-Concentration-2027-2028-300x203.webp)](https://examloaded.com/waec-general-mathematics-areas-of-concentration/waec-general-mathematics-areas-of-concentration-2027-2028/)WAEC General Mathematics Areas of Concentration 2027/2028 WAEC also refers to the subject as **General Mathematics/Mathematics (Core)**. Your preparation should cover the complete syllabus, but some topics require particularly strong attention because they form the foundation for several other areas of Mathematics. **READ:** [Access 2027 WAEC Questions and Answers in all Subjects – Free Study Guide](/waec-questions-and-answers/) **ALSO READ:** [WAEC Specimens 2027](/waec-specimens-practicals/) The major areas you should concentrate on are: - Number and Numeration - Algebraic Processes - Mensuration - Plane Geometry - Coordinate Geometry - Trigonometry - Introductory Calculus - Statistics - Probability - Vectors - Transformation You should also practise mathematical word problems, graphs, constructions, financial calculations and questions that require you to apply more than one concept. **READ ALSO:** [WAEC General Mathematics Syllabus 2027/2028 PDF Download](/waec-mathematics-syllabus-questions/) ## WAEC General Mathematics Areas of Concentration at a Glance The major topics to concentrate on include: - Number Bases - Modular Arithmetic - Fractions - Decimals - Approximations - Significant Figures - Indices - Standard Form - Logarithms - Sequences - Arithmetic Progression - Geometric Progression - Sets - Venn Diagrams - Logical Reasoning - Rational Numbers - Surds - Matrices - Determinants - Ratio - Proportion - Rates - Percentages - Simple Interest - Compound Interest - Profit and Loss - Discount - Commission - Hire Purchase - Percentage Error - Depreciation - Amortization - Annuities - Shares and Stocks - Bonds and Debentures - Variation - Algebraic Expressions - Expansion - Factorization - Binary Operations - Linear Equations - Simultaneous Equations - Change of Subject of Formula - Quadratic Equations - Linear Graphs - Quadratic Graphs - Linear Inequalities - Linear Programming - Algebraic Fractions - Functions and Relations - Pythagoras’ Theorem - Sine Rule - Cosine Rule - Arc Length - Sectors - Segments - Latitude and Longitude - Areas - Surface Areas - Volumes - Angles - Parallel Lines - Triangles - Similarity - Congruence - Polygons - Circle Theorems - Geometrical Construction - Loci - Midpoint - Distance Between Two Points - Gradient - Equation of a Straight Line - Sine - Cosine - Tangent - Angles of Elevation - Angles of Depression - Bearings - Trigonometric Graphs - Differentiation - Applications of Differentiation - Integration - Frequency Distribution - Pie Charts - Bar Charts - Histograms - Frequency Polygons - Mean - Median - Mode - Cumulative Frequency Curves - Quartiles - Range - Interquartile Range - Mean Deviation - Variance - Standard Deviation - Experimental Probability - Theoretical Probability - Addition of Probabilities - Multiplication of Probabilities - Vectors - Reflection - Rotation - Translation - Enlargement ## Number and Numeration Number and Numeration contains many of the basic skills you will use in Algebra, Mensuration, Statistics and other parts of Mathematics. Give attention to: - Number Bases - Modular Arithmetic - Fractions and Decimals - Approximation - Indices - Standard Form - Logarithms - Sequences - Sets - Surds - Matrices - Ratio - Rates - Percentages - Financial Arithmetic - Variation ## Number Bases You should be able to convert numbers: - From base 10 to another base - From another base to base 10 - From one non-decimal base to another Also practise: - Addition in different bases - Subtraction in different bases - Multiplication in different bases ### Converting From Another Base to Base 10 Understand place value properly. For example, the positions in a base system represent successive powers of that base. Do not rely on memorised examples. ### Converting From Base 10 Practise repeated division by the required base and arranging the remainders correctly. ### Operations in Number Bases Be careful not to use ordinary base-10 carrying rules without considering the base in which the question is written. ## Modular Arithmetic Study: - Meaning of modulo arithmetic - Addition - Subtraction - Multiplication - Everyday applications You should be able to solve questions involving recurring systems such as: - Clock arithmetic - Market days - Shift arrangements Understand that modular arithmetic deals with remainders after division by a specified number. ## Fractions and Decimals Be comfortable with the four basic operations: - Addition - Subtraction - Multiplication - Division Practise changing: - Fractions to decimals - Decimals to fractions where necessary. Strong fraction skills are particularly useful when solving Algebra and Probability questions. ## Approximation Study: - Decimal Places - Significant Figures - Appropriate Accuracy You should be able to round a value correctly and identify the required degree of accuracy. ### Significant Figures Count significant figures from the first non-zero digit. Practise with: - Whole Numbers - Decimals - Very Small Numbers ### Decimal Places Count digits after the decimal point. Do not confuse decimal places with significant figures. ## Standard Form Practise writing numbers in the form: `a × 10ⁿ` where the first number is appropriately positioned. You should be able to: - Convert ordinary numbers to standard form - Convert standard form to ordinary numbers - Multiply numbers in standard form - Divide numbers in standard form ## Indices Study the Laws of Indices involving: - Multiplication - Division - Powers - Zero Indices - Negative Indices - Fractional Indices Make sure you understand expressions involving roots and powers. ## Logarithms Study: - Relationship Between Indices and Logarithms - Laws of Logarithms - Logarithm Tables - Antilogarithms Give particular attention to calculations involving: - Products - Quotients - Powers - Roots ## Sequences Study how to recognise patterns and determine missing or required terms. You should be able to identify whether a pattern is: - Arithmetic - Geometric - Another simple sequence ## Arithmetic Progression Know: - First Term - Common Difference - nth Term - Sum of Terms Practise both direct calculations and word problems. ## Geometric Progression Know: - First Term - Common Ratio - nth Term Pay attention to whether the ratio is: - Positive - Negative - Fractional ## Sets Study: - Universal Set - Finite Set - Infinite Set - Empty Set - Subsets - Disjoint Sets - Union - Intersection - Complement You should be able to interpret standard set notation. ## Venn Diagrams Venn diagrams are particularly important for solving classification problems. Practise: - Two-Set Questions - Three-Set Questions - Union - Intersection - Complement - Finding Unknown Numbers Always place information in the intersections first when solving multi-set problems. ## Logical Reasoning Study: - Statements - True and False Statements - Negation - Implications Understand the meaning of each logical statement instead of memorising symbols alone. ## Rational Numbers You should understand: - Positive Integers - Negative Integers - Rational Numbers - Number-Line Representation Practise operations involving positive and negative values carefully. ## Surds Study: - Simplification - Addition - Subtraction - Multiplication - Division - Rationalisation Practise keeping exact answers in surd form where required. ## Matrices Give attention to: - Order of a Matrix - Types of Matrices - Equality of Matrices - Addition - Subtraction - Scalar Multiplication - Matrix Multiplication - Determinants ### Matrix Order Remember: **Rows × Columns** For example, a matrix with two rows and three columns is a `2 × 3` matrix. ### Matrix Multiplication Before multiplying two matrices, check whether their dimensions are compatible. ## Determinants Study determinants of the matrices covered in your course and their application to solving simultaneous equations. Practise the signs carefully. ## Ratio and Proportion Study: - Simplifying Ratios - Dividing Quantities in a Given Ratio - Proportion - Financial Partnerships Questions may combine ratio with: - Money - Length - Area - Time - Business Profit ## Rates Important rate problems include: - Speed - Work Rate - Cost - Population Density - Foreign Exchange - Taxes Always pay attention to the units. ## Percentages Percentage calculations are used in many practical Mathematics questions. Study: - Profit - Loss - Discount - Commission - Simple Interest - Compound Interest - Depreciation - Percentage Error - Hire Purchase ## Profit and Loss Know: - Cost Price - Selling Price - Profit - Loss - Percentage Profit - Percentage Loss Make sure you calculate the percentage using the correct base value. ## Discount Understand: - Marked Price - Discount - Selling Price ## Commission Study percentage commission based on: - Sales - Transactions - Other stated amounts ## Simple Interest Know the relationship among: - Principal - Rate - Time - Interest Practise rearranging the formula where a question asks for the rate, principal or time. ## Compound Interest Understand the difference between Simple Interest and Compound Interest. With Compound Interest, interest is added to the amount before the next period’s interest is calculated. ## Hire Purchase Study: - Cash Price - Deposit - Instalments - Hire-Purchase Price You should be able to determine the extra cost of buying an item through hire purchase. ## Percentage Error Understand how an approximate measurement differs from its actual value. Practise calculating: - Absolute Error - Percentage Error where required. ## Financial Arithmetic The syllabus also includes: - Depreciation - Amortization - Annuities - Shares - Stocks - Bonds - Debentures ## Depreciation Study how the value of an asset decreases over time. Pay attention to whether the question gives: - A fixed amount - A percentage rate ## Amortization Understand the mathematical application of spreading an amount over a specified period where required. ## Annuities Study the basic annuity calculations covered in the syllabus. ## Shares Stocks Bonds and Debentures Understand the basic calculations involving: - Investment Amount - Interest - Dividend - Market Value according to the information provided in a question. ## Variation Study: - Direct Variation - Inverse Variation - Joint Variation - Partial Variation A useful method is: - Write the variation statement. - Introduce the constant. - Use the known values to find the constant. - Form the complete equation. - Solve the required value. ## Algebraic Processes Algebra is one of the most important areas in General Mathematics. Concentrate on: - Algebraic Expressions - Expansion - Factorization - Binary Operations - Linear Equations - Simultaneous Equations - Change of Subject - Quadratic Equations - Graphs - Inequalities - Algebraic Fractions - Functions and Relations ## Algebraic Expressions You should be able to: - Simplify expressions - Collect like terms - Substitute values - Translate word statements into algebra ## Expansion Practise removing brackets correctly. Give attention to: - Single Brackets - Double Brackets - Signs ## Factorization Study methods involving: - Common Factors - Grouping - Difference of Two Squares - Quadratic Expressions Factorization is especially important when solving quadratic equations. ## Binary Operations A question may define a new operation using a symbol. For example: `a * b = ...` Use the exact rule given in the question. Do not assume the symbol has its normal mathematical meaning. ## Linear Equations Practise equations involving: - Brackets - Fractions - Decimals - Variables on Both Sides ## Simultaneous Equations Study: - Elimination - Substitution - Graphical Method You should also practise word problems that require you to form the simultaneous equations yourself. ## Change of Subject of Formula You should be able to rearrange formulas involving: - Fractions - Powers - Roots - Brackets Work step by step instead of trying to perform several operations at once. ## Quadratic Equations This is a major Algebra topic. Study solving quadratic equations by: - Factorization - Completing the Square - Quadratic Formula ## Forming Quadratic Equations From Roots If the roots are given, practise forming the required quadratic equation. ## Quadratic Word Problems You should also solve real-life or geometrical situations that produce quadratic equations. ## Linear Graphs Practise: - Creating Tables of Values - Plotting Coordinates - Choosing Scales - Drawing Straight Lines - Finding Gradient - Finding Intercepts ## Quadratic Graphs Study: - Tables of Values - Plotting Curves - Roots - Maximum or Minimum Points - Axis of Symmetry - Intersections With Other Graphs ## Solving Equations Graphically You may be required to obtain approximate solutions from the point where two graphs intersect. Practise reading graph values accurately. ## Gradient of a Curve The syllabus also includes estimating the gradient of a curve by drawing a tangent. Make your tangent sufficiently long before calculating its gradient. ## Linear Inequalities Study: - Inequalities in One Variable - Number-Line Representation - Inequalities in Two Variables - Simultaneous Inequalities Remember that when multiplying or dividing by a negative number, the inequality sign changes direction. ## Linear Programming Study applications involving: - Maximum Profit - Minimum Cost - Feasible Region A typical process is: - Form inequalities. - Draw the boundary lines. - Shade the correct region. - Identify corner points. - Evaluate the objective quantity. ## Algebraic Fractions Practise: - Simplification - Addition - Subtraction - Multiplication - Division Pay attention to restrictions caused by denominators. ## Functions and Relations Study: - One-to-One - One-to-Many - Many-to-One - Many-to-Many - Mapping - Rules Connecting Variables You should understand how input values relate to output values. ## Mensuration Mensuration is another major area. Study: - Length - Perimeter - Area - Surface Area - Volume - Pythagoras’ Theorem - Sine Rule - Cosine Rule - Arc Length - Sectors - Segments - Latitude and Longitude ## Pythagoras’ Theorem Know: `a² + b² = c²` for a right-angled triangle. Make sure you identify the hypotenuse correctly. ## Sine Rule Practise using the Sine Rule when appropriate information involving opposite sides and angles is available. ## Cosine Rule Use the Cosine Rule for suitable non-right-angled triangle problems. Learn to recognise when the Sine Rule or Cosine Rule is more appropriate. ## Arc Length Study the relationship among: - Arc Length - Radius - Central Angle Make sure your angle units are consistent with the formula being used. ## Sectors Study: - Sector Area - Sector Perimeter Remember that sector perimeter includes: - Arc Length - Two Radii ## Segments Understand the relationship: **Area of Segment = Area of Sector − Area of Triangle** where applicable. ## Latitude and Longitude Practise questions involving: - Angular Separation - Distance Along a Latitude - Distance Along a Longitude Draw the Earth diagram carefully. ## Areas Study areas of: - Triangles - Rectangles - Squares - Parallelograms - Trapeziums - Circles - Sectors - Segments - Compound Figures ## Similar Figures Understand how a linear scale factor affects area. If the ratio of corresponding lengths is: `a : b` the corresponding area ratio depends on the square of that ratio. ## Surface Areas Study surface areas of: - Cubes - Cuboids - Cylinders - Pyramids - Triangular Prisms - Cones - Spheres ## Volumes Study volumes of: - Cubes - Cuboids - Cylinders - Cones - Pyramids - Spheres - Compound Solids Pay careful attention to the units. Volume should normally be expressed in cubic units. ## Similar Solids Understand how a change in linear scale affects volume. ## Plane Geometry Plane Geometry requires both knowledge of properties and the ability to apply them. Concentrate on: - Angles - Parallel Lines - Triangles - Quadrilaterals - Polygons - Circles - Construction - Loci ## Angles Know basic facts such as: - Angles at a Point = 360° - Angles on a Straight Line = 180° - Vertically Opposite Angles Are Equal ## Parallel Lines Study: - Corresponding Angles - Alternate Angles - Interior Angles ## Triangles Important areas include: - Angle Sum - Exterior Angle - Isosceles Triangles - Equilateral Triangles - Right-Angled Triangles - Congruent Triangles - Similar Triangles ## Congruence Understand the conditions used to show that two triangles are congruent. ## Similarity Study: - Corresponding Angles - Corresponding Sides - Scale Factors - Area Ratios ## Quadrilaterals Know the properties of: - Square - Rectangle - Parallelogram - Rhombus - Trapezium ## Polygons Study: - Interior Angles - Exterior Angles - Sum of Interior Angles Know: `Sum of interior angles = (n - 2) × 180°` ## Circle Theorems Circle Geometry deserves strong attention. Study: - Chords - Angle at the Centre - Angle at the Circumference - Angle in a Semicircle - Angles in the Same Segment - Cyclic Quadrilaterals - Tangents - Alternate Segment Theorem ## Chords Understand relationships involving: - Equal Chords - Perpendicular Bisectors - Centre of a Circle ## Angle at the Centre Know the relationship between the angle subtended at the centre and the angle subtended at the circumference by the same arc. ## Angle in a Semicircle Know that the angle in a semicircle is a right angle. ## Angles in the Same Segment Angles in the same segment are equal. ## Cyclic Quadrilaterals Opposite angles of a cyclic quadrilateral are supplementary. ## Tangent and Radius The tangent to a circle is perpendicular to the radius at the point of contact. ## Alternate Segment Theorem Practise recognising when the angle between a tangent and chord is related to an angle in the alternate segment. ## Geometrical Construction Study construction of: - Perpendicular Bisectors - Angle Bisectors - Parallel Lines - Perpendicular Lines - 30° Angles - 45° Angles - 60° Angles - 90° Angles - Triangles - Quadrilaterals Also practise constructing combined angles where required. Do not rely on rough sketches when the question asks for construction. ## Loci Study loci involving points: - At a Fixed Distance From a Point - Equidistant From Two Points - Equidistant From Two Lines - At a Fixed Distance From a Line You should also be able to combine two loci to locate a required point. ## Coordinate Geometry The main areas are: - Midpoint - Distance Between Two Points - Gradient - Equation of a Straight Line ## Midpoint Practise finding the coordinates halfway between two points. ## Distance Between Two Points Use the distance formula carefully and simplify the final answer as required. ## Gradient Understand gradient as: **Change in y ÷ Change in x** Be careful with negative gradients. ## Equation of a Straight Line Study forms such as: `y = mx + c` and: `y - y₁ = m(x - x₁)` You should be able to obtain the equation from: - Gradient and a Point - Two Points - A Graph ## Trigonometry The major areas include: - Sine - Cosine - Tangent - Special Angles - Trigonometric Graphs - Elevation - Depression - Bearings ## Trigonometric Ratios In a right-angled triangle, know how to identify: - Opposite - Adjacent - Hypotenuse relative to the angle being considered. ## Special Angles Know the exact trigonometric ratios for: - 30° - 45° - 60° These should be understood rather than guessed with a calculator. ## Angles From 0° to 360° Study the signs and values of trigonometric ratios across different quadrants. ## Trigonometric Graphs Practise graphs involving: - Sine - Cosine and other forms included in your course. Understand: - Amplitude - Maximum Value - Minimum Value - Intercepts where applicable. ## Angles of Elevation Draw the horizontal line and line of sight correctly before selecting the required trigonometric ratio. ## Angles of Depression Remember that the angle of depression is measured from the horizontal. A clear diagram can prevent many errors. ## Bearings Study: - Three-Figure Bearings - Directional Bearings Always measure bearings clockwise from North when using three-figure notation. ## Introductory Calculus The syllabus introduces: - Differentiation - Integration ## Differentiation Understand differentiation as a method of determining the rate at which one quantity changes with another. You should be able to differentiate the simple algebraic functions covered in the syllabus. ## Gradient of a Curve Differentiation is related to the gradient of a curve at a given point. ## Maximum and Minimum Values Study simple applications of differentiation involving: - Maximum Values - Minimum Values ## Rates of Change The syllabus includes simple applications of differentiation to rates of change. ## Velocity Where displacement is expressed as a function of time, differentiation can be used to determine velocity. ## Integration Understand integration as closely related to the reverse process of differentiation. Practise simple definite integrals within the scope of the syllabus. ## Statistics Statistics contains both calculations and graphs. Study: - Frequency Distribution - Pie Charts - Bar Charts - Histograms - Frequency Polygons - Mean - Median - Mode - Cumulative Frequency Curves - Measures of Dispersion ## Frequency Distribution Know: - Frequency - Class Interval - Class Boundary - Class Mark Be able to construct and interpret frequency tables. ## Pie Charts Practise converting frequency data into sector angles. Use: `Sector Angle = Frequency/Total × 360°` ## Bar Charts Study how to represent and interpret categorical or discrete data. ## Histograms Understand how a histogram differs from an ordinary bar chart. Practise: - Drawing Histograms - Reading Frequencies - Identifying Modal Classes ## Frequency Polygons Know how to plot a Frequency Polygon using class marks and frequencies. ## Mean Practise finding the arithmetic mean for: - Ungrouped Data - Grouped Data ## Median For raw data, arrange the values correctly first. For grouped data, practise estimating the Median from an Ogive where required. ## Mode Know how to determine the most frequently occurring value. For grouped data, understand the Modal Class and how the mode may be estimated graphically. ## Cumulative Frequency Curve The cumulative frequency curve is also known as an **Ogive**. Practise using it to estimate: - Median - Quartiles - Percentiles ## Range Calculate: **Highest Value − Lowest Value** ## Interquartile Range Know: `IQR = Q₃ - Q₁` ## Mean Deviation Understand Mean Deviation as a measure of how values are spread around the mean. ## Variance Study the calculation and interpretation of Variance. ## Standard Deviation Understand the relationship between Variance and Standard Deviation. Practise calculations carefully because small arithmetic errors can affect the final answer. ## Probability Important areas include: - Experimental Probability - Theoretical Probability - Mutually Exclusive Events - Independent Events - Addition Rule - Multiplication Rule - Selection With Replacement - Selection Without Replacement ## Experimental Probability This is based on observed results. For example: `Experimental Probability = Number of Times Event Occurred / Total Number of Trials` ## Theoretical Probability This is based on possible equally likely outcomes. Practise questions involving: - Coins - Dice - Cards - Coloured Objects ## Mutually Exclusive Events Understand events that cannot occur at the same time. ## Independent Events Understand situations where the occurrence of one event does not affect the probability of another. ## Addition of Probabilities Pay attention to the word **or**. You should understand when probabilities can be added directly and when overlap must be considered. ## Multiplication of Probabilities Pay attention to the word **and**. Practise multi-stage probability questions. ## With Replacement When an item is replaced, the total number of available items returns to its original value. ## Without Replacement When an item is not replaced, later probabilities change. This distinction is very important. ## Vectors Study: - Directed Line Segments - Cartesian Components - Magnitude - Equal Vectors - Addition - Subtraction - Zero Vector - Parallel Vectors - Scalar Multiplication ## Magnitude of a Vector Practise calculating the magnitude from vector components. ## Vector Addition Study both: - Algebraic Method - Graphical Method ## Vector Subtraction Understand subtraction as adding the negative of a vector. ## Parallel Vectors Recognise when one vector is a scalar multiple of another. ## Transformation The syllabus covers: - Reflection - Rotation - Translation - Enlargement ## Reflection Practise reflection in: - x-axis - y-axis - `y = x` - Horizontal Lines - Vertical Lines and other lines within the syllabus. ## Rotation Study rotation involving: - Centre of Rotation - Angle - Direction Pay close attention to whether the rotation is: - Clockwise - Anticlockwise ## Translation Use translation vectors to determine the image of a point or shape. ## Enlargement Study: - Centre of Enlargement - Scale Factor - Enlargement - Reduction A negative or fractional scale factor should be interpreted carefully if it appears within your course. ## General Mathematics Formulas to Master Create a formula notebook covering: - Percentages - Interest - Variation - Quadratic Formula - Pythagoras’ Theorem - Areas - Circumference - Arc Length - Sector Area - Surface Areas - Volumes - Sine Rule - Cosine Rule - Coordinate Geometry - Trigonometric Ratios - Statistics For each formula, understand what every symbol represents. ## General Mathematics Graphs to Practise You should be able to draw and interpret: - Linear Graphs - Quadratic Graphs - Inequality Graphs - Trigonometric Graphs - Bar Charts - Histograms - Frequency Polygons - Ogives Always check: - Scale - Axes - Units - Labels - Plotted Points ## General Mathematics Word Problems to Practise Do not prepare only with direct calculations. Practise word problems involving: - Ages - Money - Distance - Speed - Business - Profit - Interest - Ratio - Variation - Geometry - Mensuration - Probability The main skill is translating the information into Mathematics before solving it. ## Areas Where Candidates Commonly Need Extra Practice Give extra practice to: - Number Bases - Logarithms - Sets - Matrices - Variation - Simultaneous Equations - Quadratic Equations - Linear Programming - Mensuration - Circle Theorems - Construction - Loci - Bearings - Trigonometry - Statistics - Probability These topics often require several steps, so a small mistake early in the solution can affect the final answer. ## Best Order to Study WAEC General Mathematics A good revision order is to move from basic arithmetic into Algebra, Geometry and then Statistics. ### Stage 1 Number and Numeration Start with: - Fractions - Decimals - Approximation - Indices - Standard Form - Number Bases - Modular Arithmetic - Logarithms - Sequences - Sets - Surds ### Stage 2 Commercial Mathematics Study: - Ratio - Proportion - Rates - Percentages - Simple Interest - Compound Interest - Profit and Loss - Discount - Hire Purchase - Financial Arithmetic - Variation ### Stage 3 Algebra Study: - Algebraic Expressions - Expansion - Factorization - Linear Equations - Simultaneous Equations - Formulae - Quadratic Equations - Graphs - Inequalities - Functions ### Stage 4 Mensuration and Geometry Study: - Pythagoras - Areas - Surface Areas - Volumes - Angle Properties - Triangles - Polygons - Circle Theorems - Construction - Loci ### Stage 5 Coordinate Geometry and Trigonometry Study: - Midpoint - Distance - Gradient - Straight-Line Equations - Sine - Cosine - Tangent - Elevation and Depression - Bearings - Trigonometric Graphs ### Stage 6 Introductory Calculus Study: - Differentiation - Gradient of Curves - Maximum and Minimum - Rates of Change - Integration ### Stage 7 Statistics Probability and Transformation Finish with: - Frequency Tables - Pie Charts - Histograms - Mean - Median - Mode - Ogive - Measures of Dispersion - Probability - Vectors - Reflection - Rotation - Translation - Enlargement Continue revising earlier topics throughout all seven stages. ## How to Use These General Mathematics Areas of Concentration ### Use the Complete Syllabus as Your Main Checklist These areas should help you organise your study, while the complete syllabus remains your main guide. **READ ALSO:** [WAEC English Language Syllabus 2027/2028 PDF Download](/waec-english-syllabus-questions/) ### Divide Topics Into Strong Average and Weak Create three lists: - Strong Topics - Average Topics - Weak Topics Spend more revision time on weak topics while continuing to practise your strong ones. ### Solve Questions Every Day Mathematics improves through repeated problem-solving. You can use a daily routine such as: - 10 Objective Questions - 3 Theory Questions - 1 Weak Topic ### Keep a Mistake Notebook Whenever you get a question wrong, write down: - Topic - Mistake - Correct Method Review the notebook regularly. ### Memorise Less and Understand More A formula is useful only when you know: - What it calculates - When to use it - What each symbol means ### Show Your Working For theory questions, write the important steps. Do not jump straight to the final answer. ### Check Units Always look for: - cm - m - km - cm² - m² - cm³ - m³ - litres - kilograms - seconds - hours Convert units before calculating where necessary. ### Draw Diagrams For Geometry, Bearings, Trigonometry and Mensuration, a clear diagram can make the question much easier. ### Practise Under Time When you become comfortable with individual topics, begin answering full papers under examination conditions. ## What Should You Concentrate on Most for WAEC General Mathematics You should cover the complete syllabus, but make sure you are especially confident in: - Number Bases - Indices - Standard Form - Logarithms - Sets and Venn Diagrams - Ratio and Proportion - Percentages - Financial Arithmetic - Variation - Algebraic Expressions - Factorization - Linear Equations - Simultaneous Equations - Quadratic Equations - Graphs - Linear Inequalities - Mensuration - Plane Geometry - Circle Theorems - Construction - Loci - Coordinate Geometry - Trigonometry - Bearings - Introductory Calculus - Statistics - Probability - Vectors - Transformation These topics represent many of the important numerical, algebraic, geometrical and statistical skills in the syllabus. ## Frequently Asked Questions ### What Are the WAEC General Mathematics Areas of Concentration for 2027 The major areas are Number and Numeration, Algebraic Processes, Mensuration, Plane Geometry, Coordinate Geometry, Trigonometry, Introductory Calculus, Statistics, Probability, Vectors and Transformation. ### What Should I Focus on Most for WAEC General Mathematics Give strong attention to Algebra, Mensuration, Geometry, Trigonometry, Statistics and Probability while making sure you cover the complete syllabus. ### Are Number Bases Important Yes. You should study conversion between bases and addition, subtraction and multiplication in different number bases. ### Is Modular Arithmetic Included Yes. You should understand modulo calculations and applications such as clocks, market days and shift arrangements. ### Should I Study Logarithms Yes. The syllabus includes the relationship between indices and logarithms, logarithmic laws and logarithm-table calculations. ### Are Sets and Venn Diagrams Included Yes. You should study set notation, union, intersection, complement and Venn diagrams involving up to three sets. ### Are Matrices Included Yes. Study Matrix Order, Matrix Operations, Determinants and their application within the syllabus. ### Is Financial Mathematics Important Yes. You should prepare percentages, profit and loss, commission, discount, interest, hire purchase, depreciation and other financial calculations. ### Is Variation Included Yes. Study Direct, Inverse, Joint and Partial Variation. ### Are Simultaneous Equations Important Yes. You should be able to solve simultaneous equations algebraically and graphically. ### Are Quadratic Equations Included Yes. Study Factorization, Completing the Square and the Quadratic Formula. ### Does WAEC General Mathematics Include Graphs Yes. You should practise linear, quadratic, inequality, trigonometric and statistical graphs. ### Is Linear Programming Included Yes. You should understand simultaneous inequalities, feasible regions and simple maximum or minimum problems. ### Is Mensuration Important Yes. Study lengths, areas, surface areas, volumes, arcs, sectors, segments and related calculations. ### Should I Study Pythagoras’ Theorem Yes. Pythagoras’ Theorem is used in several Geometry and Mensuration problems. ### Are Sine Rule and Cosine Rule Included Yes. You should know when and how to apply both rules. ### Are Circle Theorems Important Yes. Study angles at the centre and circumference, cyclic quadrilaterals, tangents and the Alternate Segment Theorem. ### Is Construction Included Yes. Practise constructing angles, bisectors, parallel and perpendicular lines, triangles and quadrilaterals. ### Are Loci Included Yes. You should understand common two-dimensional loci and intersections of loci. ### Does the Syllabus Include Coordinate Geometry Yes. Study midpoint, distance between two points, gradient and equations of straight lines. ### Is Trigonometry Important Yes. Study Sine, Cosine, Tangent, special angles, general angles, elevation, depression, bearings and trigonometric graphs. ### Is Calculus Included in General Mathematics Yes. The syllabus contains introductory Differentiation and Integration. ### Is Statistics Included Yes. Study frequency distributions, charts, histograms, mean, median, mode, Ogives and measures of dispersion. ### Is Standard Deviation Included Yes. Standard Deviation is part of the Measures of Dispersion section. ### Is Probability Included Yes. Study Experimental and Theoretical Probability, mutually exclusive events, independent events, and addition and multiplication rules. ### Are Vectors Included Yes. You should study Vector Magnitude, Addition, Subtraction and Scalar Multiplication. ### Are Transformations Included Yes. Study: - Reflection - Rotation - Translation - Enlargement ### Where Can I Download the Complete General Mathematics Syllabus Use the [WAEC General Mathematics Syllabus 2027/2028 PDF Download](/waec-mathematics-syllabus-questions/) page to access the complete syllabus. ### Where Can I Find Areas of Concentration for Other WAEC Subjects Use the [WAEC Areas of Concentration 2027/2028 for All Subjects](/waec-areas-of-concentration-for-all-subjects/) page to access the other subject guides. ## Conclusion The **[WAEC](https://www.waecnigeria.org/) General Mathematics Areas of Concentration 2027/2028** give you a structured way to organise your Mathematics preparation. Your revision should cover Number and Numeration, Algebraic Processes, Mensuration, Plane Geometry, Coordinate Geometry, Trigonometry, Introductory Calculus, Statistics, Probability, Vectors and Transformation. Give particular attention to Algebra because many other topics depend on strong algebraic skills. You should also practise Mensuration, Geometry, Trigonometry and Statistics regularly because these areas combine formulas with interpretation and problem-solving. Do not prepare for Mathematics by reading worked solutions alone. Solve questions yourself, check your mistakes, learn the correct method and repeat similar questions until you can solve them without assistance. Use the complete syllabus as your main checklist and combine topic-by-topic revision with WAEC past questions and timed examination practice. **READ ALSO:** [WAEC General Mathematics Syllabus 2027/2028 PDF Download](/waec-mathematics-syllabus-questions/) **READ ALSO:** [WAEC Areas of Concentration 2027/2028 for All Subjects](/waec-areas-of-concentration-for-all-subjects/) **READ ALSO:** [WAEC Syllabus 2027/2028 PDF Download for All Subjects](/waec-syllabus-for-all-subjects-pdf-download/) **READ ALSO:** [WAEC Timetable 2027](/waec-timetable-for-science-art-and-commercial/)