Maths guides – page 4

Step-by-step guides, worked examples and study tips.

Learn what a derivative is and how to differentiate with the power rule, product rule, quotient rule and chain rule, with worked examples.

7 October 2026 · 2 min read

Learn three simple ways to calculate a percentage of a number, find what percent one number is of another, and work out percentage change.

7 October 2026 · 2 min read

Find the mean, median, mode and range of a data set step by step, learn which average to use, and see how outliers affect each one.

7 October 2026 · 2 min read

Simple habits to check your maths answers and spot exactly where a solution went wrong, with a worked example of finding the first wrong line.

7 October 2026 · 2 min read

Area formulas for rectangles, triangles, circles, trapezoids and parallelograms, with worked examples, units explained and common mistakes.

7 October 2026 · 2 min read

Find the least common multiple and greatest common factor by listing, prime factorisation and Euclid's algorithm, and learn when to use each.

7 October 2026 · 2 min read

Simplify any fraction to its lowest terms using the greatest common factor, with worked examples, prime-factor checks and common mistakes.

7 October 2026 · 2 min read

Simplify square roots like √50 and √72 by taking out square factors, combine surds, and rationalise denominators, with clear worked examples.

7 October 2026 · 2 min read

Solve pairs of simultaneous equations by substitution or elimination, see what the answer means on a graph, and spot when there is no solution.

7 October 2026 · 2 min read

Understand integration as reverse differentiation and as area under a curve. Learn the power rule, definite integrals and integration by parts.

7 October 2026 · 2 min read