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Math Lessons

Pick a topic, study worked examples, then test yourself with a short practice set or endless auto-generated questions.

Fractions — Basics

Basics

Simplify fractions and find a fraction of a quantity.

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Percentages — Basics

Basics

Find a percentage of a number and express ratios as percentages.

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Ratio & Proportion

Basics

Simplify ratios and share quantities in a given ratio.

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LCM & GCD

Basics

Find the least common multiple and greatest common divisor.

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Linear Equations

JHS

Solve linear equations of the form ax + b = c.

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Exponents & Powers

JHS

Evaluate expressions involving powers and exponents.

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Mean, Median & Mode

JHS

Compute the averages of a small data set.

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Area & Perimeter

JHS

Find areas and perimeters of common shapes.

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Quadratic Equations

SHS

Solve factorable quadratics and identify their roots.

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Trigonometry — Right Triangles

SHS

Use Pythagorean triples to find missing sides.

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Logarithms

SHS

Evaluate logarithms and understand their inverse nature.

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Distance & Midpoint

SHS

Compute the distance between two coordinate points.

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Differentiation

Advanced

Differentiate power functions and evaluate the derivative.

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Integration

Advanced

Evaluate definite integrals of polynomial functions.

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Decimals & Place Value

Basics

Add, subtract and round decimal numbers to a given place.

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Order of Operations

Basics

Use BODMAS/PEMDAS to evaluate expressions correctly.

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Integers & Number Line

Basics

Add and subtract positive and negative integers.

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Geometry Basics — Angles

JHS

Find complementary, supplementary and straight-line angles.

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Simple Interest

JHS

Calculate simple interest using I = P × R × T ÷ 100.

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Probability of Single Events

JHS

Find the probability of a single event as a fraction.

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Sequences & Series

SHS

Find the nth term and sum of an arithmetic sequence.

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Surds

SHS

Simplify surds of the form √(k² × b) into k√b.

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Coordinate Geometry — Slope & Line

SHS

Find the gradient of a line through two points.

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Limits

Advanced

Evaluate limits of polynomials by direct substitution.

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Matrices

Advanced

Find the determinant of a 2×2 matrix.

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Vectors

Advanced

Find the dot product of two 2D vectors.

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