Mathematics Library

Perimeter

Start here: Geometry — Perimeter and Area Foundations

Square Root

Start here: Square Roots, Cube Roots and Estimation

Fractions

Start here: Arithmetic — Operations on Fractions and Mixed Numbers

Binomial Expressions

Start here: Algebra — Multiplying and Factoring Binomials

Congruence of Triangles

Start here: Geometry — Triangle Congruence Criteria (SAS, ASA, AAS, SSS, RHS)

Area

Start here: Geometry — Areas of Parallelograms, Triangles and Trapeziums

Factors of Quadratic Expressions

Start here: Algebra — Factoring Quadratic Expressions and Perfect Squares

Triangles

Start here: Geometry — Interior and Exterior Angles of Triangles

Inverse Proportion

Start here: Pre-Algebra — Direct and Inverse Proportions & Ratios

Data Representation

Start here: Statistics — Visualizing and Representing Categorical & Numerical Data

LCM of Algebraic Expressions

Start here: Algebra — Greatest Common Divisor and Least Common Multiple of Expressions

Algebraic Fractions

Start here: Algebra — Simplifying, Adding and Subtracting Rational Fractions

Percentages

Start here: Pre-Algebra — Percentages, Simple Interest and Discounts

Equations

Start here: Algebra — Solving Systems of Linear Equations and Simultaneous Equations

Parallelograms I

Start here: Geometry — Quadrilaterals and Parallelogram Theorems

Parallelograms II

Start here: Geometry — Diagonals and Symmetry in Parallelograms

Sets

Start here: Pre-Algebra — Sets, Venn Diagrams, Union and Intersection

Logarithms I

Start here: Algebra — Introduction to Logarithms and Exponential Forms

Logarithms II

Start here: Algebra — Logarithmic Properties, Product Rule and Quotient Rule

Linear Relationships

Start here: Graphing Lines Interactive Simulation

Rate

Start here: Pre-Algebra — Constant Speed, Work Rates and Fuel Consumption

Formulae

Start here: Algebra — Rearranging Formulas and Literal Equations

Triangle Angle Theorems

Start here: Geometry — Sum of Angles in a Triangle and Exterior Angle Theorem

Linear Inequalities

Start here: Algebra — Solving Linear Inequalities and Number Line Representation

Frequency Distributions

Start here: Statistics — Grouped Frequency Tables, Class Intervals & Midpoints

Chord-Centre Theorem

Start here: Geometry — Circle Theorems on Chords and Tangents

Constructions

Start here: Geometry — Constructing Perpendicular Bisectors, Angle Bisectors & Triangles

Surface Area and Volume

Start here: Geometry — Volume and Surface Area of Right Prisms and Cylinders

Probability

Start here: Statistics & Probability — Sample Spaces, Venn Diagrams & Tree Diagrams

Real Numbers

Start here: Pre-Algebra — Rational and Irrational Numbers, Real Number Line

Indices and Logarithms - I

Start here: Algebra — Laws of Indices and Fractional Exponents

Indices and Logarithms - II

Start here: Algebra — Logarithm Rules, Base-10 Logs and Problem Solving

Surface Area of Solids

Start here: Geometry — Curved Surface Area and Total Surface Area of Solids

Volume of Solids

Start here: Geometry — Solid Mensuration, Composite Solids and Liquid Capacity

Areas of Plane Figures between Parallel Lines

Start here: Geometry — Equal Area Theorems in Plane Figures

Share Market

Start here: Pre-Algebra — Stocks, Dividends, Capital Gains and Investment Returns

The Midpoint Theorem

Start here: Geometry — Triangle Midsegments and Proportionality Theorems

Graphs

Start here: GeoGebra Graphing Calculator — Quadratic Functions, Roots and Turning Points

Equiangular Triangles

Start here: Geometry — Similarity Criteria and Ratios of Corresponding Sides

Data Representation and Interpretation

Start here: Statistics — Cumulative Frequency, Ogives, Quartiles & Interquartile Range

Geometric Progressions

Start here: Algebra — Arithmetic and Geometric Progressions (nth term and sum)

Pythagoras' Theorem

Start here: Geometry — Right-Angled Triangles and Pythagorean Triples

Trigonometry

Start here: Trigonometry — Angles of Elevation & Depression and Right Triangle Ratios

Matrices

Start here: Algebra — Matrix Dimensions, Addition, Subtraction and Scalar Multiplication

Inequalities

Start here: Algebra — Quadratic Inequalities and Integral Solutions

Cyclic Quadrilaterals

Start here: Geometry — Opposite Angles and Exterior Angles of Cyclic Quadrilaterals

Tangents

Start here: Geometry — Tangent Properties, Tangent Lengths from External Points