Level 1
| Numbers to Ten Thousands, Hundreds, Tens and Ones |
| Numbers Patterns |
| Addition and SubtractionSum and Difference |
| Add Ones, Tens, Hundreds and Thousands |
| Two-step Word Problems |
| Multiplication and Division Looking Back |
| More Word Problems |
| Multiplying Ones, Tens and Hundreds |
| Quotient and Remainder |
| Dividing Hundreds, Tens and Ones |
| Multiplying and Dividing by 6 |
| Multiplying and Dividing by 7 |
| Multiplying and Dividing by 8 |
| Multiplying and Dividing by 9 |
| Money (U.S. currency)Dollars and Cents |
| Addition |
| Subtraction |
| Mental CalculationAddition |
| Subtraction |
| Multiplication |
| Division |
| Length Meters and Centimeters |
| Kilometers |
| Yards, Feet and Inches |
| Miles |
| Weight Kilograms and Grams |
| More Word Problems |
| Pounds and Ounces |
| CapacityLiters and Milliliters |
| Gallons, Quarts, Pints and Cups |
| GraphsBar Graphs |
| Fractions of a Whole |
| Equivalent Fractions |
| Time Hours and Minutes |
| Other Units of Time |
| Geometry Angles |
| Right Angles |
| Area and Perimeter |
| Perimeter |
| Area of a Rectangle |
Level 2
| Whole Numbers |
| Multiplication and Division of Whole Numbers |
| Fractions |
| Perpendicular and Parallel Lines |
| Area and Perimeter |
| Decimals |
| The Four Operations of Decimals |
| Fractions and Division |
| Addition and Subtraction of Unlike Fractions |
| Addition and Subtraction of Mixed Numbers |
| Product of a Fraction and a Whole Number |
| Product of Fractions |
| Dividing a Fraction by a Whole Number |
| Word Problems |
| Finding the Area of a Triangle |
| Finding Ratio |
| Equivalent Ratios |
| Comparing Three Quantities |
| Measuring Angles |
| Finding Unknown Angles |
| Decimals Approximation and Estimation |
| Multiplication by Tens, Hundreds or Thousands |
| Division by Tens, Hundreds or Thousands |
| Multiplying by a 2-digit Whole Number |
| Conversion of Measurements |
| Percentage |
| Writing Fractions as Percentage |
| Percentage of a Quantity |
| Average |
| Rate |
| Graphs-Line Graphs |
| Triangles-Sum of Angles of a Triangle |
| Isosceles and Equilateral Triangles |
| Drawing Triangles |
| 4-sided Figures-Parallelogram, Rhombuses and Trapezoids |
| Drawing Parallelograms and Rhombuses |
| Tessellations Tiling Patterns |
| Volume-Cubes and Cuboids |
| Finding the Volume of a Solid |
Level 3
| Algebraic Expressions |
| Solid Figures-Drawing Solid Figures |
| Nets |
| Ratio and Fraction |
| Ratio and Proportion |
| Changing Ratios |
| Percentage-Part of a Whole as a Percentage |
| One Quantity as a Percentage of Another |
| Solving Percentage Problems by Unitary Method |
| Speed and Average Speed |
| Fractions Division |
| Order of Operations |
| Word Problems |
| Circles Radius and Diameter |
| Circumference |
| Area |
| Graphs-Pie Charts |
| Volume-Solving Problems |
| Triangles and 4-sided Figures-Finding Unknown Angles |
| More Challenging Word Problems Whole Numbers and Decimals |
| Fractions |
| Ratio |
| Percentage |
| Speed |
Level 4
| Whole Numbers System of Numeration |
| The Four Operations |
| Factors and Multiples |
| Prime Numbers and Prime Factorisation |
| Highest Common Factor |
| Least Common Factor |
| Number Patterns |
| Variables |
| Basic Number Laws |
| Fractions, Decimals and Approximation Fractions |
| Addition and Subtraction of Fractions |
| Multiplication and Division of Fractions |
| Decimals |
| Approximation |
| Conversion Between Fractions and Decimals |
| Estimation |
| Arithmetic ProblemsUnits of Measure |
| Simple Word Problems |
| Multi-Step Word Problems |
| Estimation in Daily Life Situations |
| Real Numbers Negative Numbers |
| Addition and Subtraction of Integers |
| Multiplication of Integers |
| Division of Integers |
| Real Numbers |
| Order of Calculation |
| Mental Calculation |
| Simple Algebraic Expressions |
| Evaluation of Algebraic Expressions |
| Algebraic Terms |
| Use of Brackets |
| Collecting Like Terms |
| Open Sentences And Equations |
| Equations |
| Equations with Fractional and Decimals Coefficients |
| Evaluation of Formulae |
| Algebraic Problems |
| Rate, Ratio And Percentage Rate and Speed |
| Ratio |
| Direct and Inverse Proportions |
| Percentage |
| Applications of Percentages |
| Solving Problems Involving Financial Transactions Earnings, Profit and Loss, Commissions and Discounts |
| Interest and Hire Purchase |
| Taxation and Money Exchange |
| Introducing Geometry |
| Line Segment, Line and Angles |
| Angle Properties Related to Straight Lines |
| Perpendicular and Parallel Lines |
| Angle Properties Related to Parallel Lines |
| PolygonsTriangles |
| Angle Properties of a Triangle |
| Isosceles and Equilateral Triangles |
| Angle Properties of a Polygon |
| Quadrilaterals |
| Properties of Quadrilaterals |
| Symmetries And Nets Of Solid FiguresLine Symmetry |
| Rotational Symmetry |
| Patterns |
| Symmetries of Solid Figures |
| Nets of Solid Figures |
| Area And PerimeterPerimeter and area of Polygon |
| Circumference and Area of Circle |
| More Problems on Area and Perimeter |
| Volume and Surface Area of Prism and CylinderCylinder |
| Density |
| More Problems on Volume and Surface Area |
| Similarity And CongruenceSimilar and Congruent Figures |
| Designs and Tessellations |
| Scale Drawing |
Level 5
| Indices-Positive Integral Indices |
| Zero and Negative Integral Indices |
| Indices Involving Variables |
| Standard Form |
| Algebraic Manipulations Special Algebraic Rules for Calculations |
| Expanding Products |
| Factorisation |
| Addition and Subtraction of Algebraic Fractions |
| Multiplication and Division of Algebraic Fractions |
| Fractional Equations |
| Problems Involving Fractional Equations |
| Literal And Quadratic Equations,Literal Equations |
| Transformation of Formulae |
| Quadratic Equations |
| Quadratic Factorisation |
| Solving Quadratic Equations by Factorisation |
| Solving Quadratic Equations by Factorisation |
| Word Problems Leading to Quadratic Equations |
| Word ProblemsProblems on Rate, Ratio and Percentage |
| Problems Involving Financial Transactions |
| Graphs -The Coordinate Plane |
| Graphs of Linear Equations in Two Variables |
| Simple Applications of Straight Line Graphs |
| Travel Guide |
| Solving Simultaneous Linear Equations by Graphs |
| Quadratic Graphs |
| Simultaneous Linear EquationsSimple Elimination Method |
| Elimination Method |
| Substitution Method |
| Word Problems Using Simultaneous Equations |
| Inequalities Sets of Numbers on the Number Line |
| Properties of Order |
| Solving Inequalities |
| Congruent and Similar TrianglesCongruent Triangles |
| Similar Triangles |
| Mensuration Sectors |
| Cones and Pyramids |
| Sphere |
| Areas of Similar Figures |
| Volumes of Similar Solids |
| Pythagoras’ Theorem and Trigonometry |
| Indirect Measure |
| Trigonometrical Ratios |
| Trigonometrical Ratios by Using a Calculator |
| Solution of Right-angled Triangles |
| Applications of Trigonometrical Ratios to Simple Problems |
| Motion Geometry Reflection |
| Rotation |
| Translation |
| Enlargement |
| Combination of Transformations |
| Statistics I-Collection and Presentation of Data |
| Reading and Drawing of Bar Graphs |
| Reading and Drawing of Pie Charts |
| Reading and Drawing of Line Graphs and Pictograms |
| Statistics II-Frequency Distribution |
| Mean, Mode and Median of Frequency Distributions |
| Types of Averages |
| More Algebraic Manipulations-Addition and Subtraction of Polynomials |
| Multiplication of Polynomials |
| Division of Polynomials (Optional) |
| Algebraic Fractions and Fractional Equations |
| Algebraic Manipulation |
| Manipulation of Expressions |
Level 6
| Chapter 0: Preparing for Geometry |
| Chapter 1: Tools of Geometry |
| Chapter 2: Reasoning and Proof |
| Chapter 3: Parallel and Perpendicular Lines |
| Chapter 4: Congruent Triangles |
| Chapter 5: Relationships in Triangles |
| Chapter 6: Quadrilaterals |
| Chapter 7: Proportions and Similarity |
| Chapter 8: Right Triangles and Trigonometry |
| Chapter 9: Transformations and Symmetry |
| Chapter 10: Circles |
| Chapter 11: Areas of Polygons and Circles |
| Chapter 12: Extending Surface Area and Volume |
| Chapter 13: Probability and Measurement |
AI that thinks in Mathematics 