Learn the method

Math guides that teach, then let you practise

Each guide explains one idea, works the examples with the real calculator, shows the usual mistakes, and ends at the tool where you can try your own numbers.

Arithmetic & Numbers

How to Add Fractions (Same and Different Denominators)

A clear method for adding and subtracting fractions: find a common denominator, combine the numerators, simplify. Worked examples with every step.

Grades 4–7

Arithmetic & Numbers

How to Calculate Percentages: 4 Problem Types, Solved

Learn the four percentage questions — % of a number, what percent, original value and percent change — with formulas and worked examples.

Grades 6–9

Algebra & Functions

How to Solve Quadratic Equations: Factoring and the Formula

Solve ax² + bx + c = 0 by factoring or the quadratic formula. Learn the discriminant, see worked examples, and check answers by substitution.

Grades 9–11

Geometry & Measurement

How to Use the Pythagorean Theorem (With Worked Examples)

Find a missing side of a right triangle with a² + b² = c². Learn when to add, when to subtract, and how to test whether a triangle is right-angled.

Grades 8–10

Probability & Counting

Permutations vs Combinations: How to Choose the Right One

Learn the difference between permutations and combinations, when order matters, and how repetition changes the count — with worked examples.

Grades 10–12

Statistics & Data

Mean, Median and Mode Explained (and When Each Misleads)

How to find the mean, median, mode and range, how an outlier changes them, and when to use sample versus population standard deviation.

Grades 6–10

Arithmetic & Numbers

How to Simplify Fractions to Lowest Terms

Simplify any fraction by dividing top and bottom by their greatest common factor. Includes Euclid’s algorithm and worked examples.

Grades 4–7

Arithmetic & Numbers

How to Find the LCM and GCF (HCF) With Prime Factors

Find the least common multiple and greatest common factor using prime factorization, with worked examples for two and three numbers.

Grades 5–8

Arithmetic & Numbers

Prime Numbers Explained: Test, Factor and Count Divisors

What primes are, how to test a number quickly, how to factor it into primes and how exponents give the number of divisors.

Grades 5–9

Arithmetic & Numbers

Divisibility Rules for 2 to 10, Explained

Quick tests to see whether a number divides evenly by 2, 3, 4, 5, 6, 7, 8, 9 or 10 — and why the digit-sum rule works.

Grades 4–8

Algebra & Functions

How to Solve Linear Equations Step by Step

Solve equations like 3x + 5 = 2x − 7 by collecting terms, isolating x and checking. Includes the no-solution and infinite-solution cases.

Grades 7–9

Algebra & Functions

Exponents and Powers: Rules, Negative and Fractional

Understand exponents as repeated multiplication, then extend them to zero, negative and fractional powers with worked examples.

Grades 7–10

Converters & Notation

Scientific Notation: How to Write and Convert Numbers

Write very large and very small numbers as a × 10ⁿ by moving the decimal point, with worked conversions both ways.

Grades 7–10

Geometry & Measurement

Area and Perimeter: Formulas for Common Shapes

Area formulas for rectangles, triangles, parallelograms and trapezoids, how perimeter differs, and common unit mistakes.

Grades 5–8

Probability & Counting

Probability Basics: One Event, “And” and “Or”

The three core probability calculations with worked examples: a single event, two independent events both happening, and either happening.

Grades 8–11

Everyday & School Calculators

How to Calculate GPA on a 4.0 Scale

Calculate weighted GPA from letter grades and credits, with the standard 4.0 grade-point values and worked examples.

High school & college