How to Simplify Square Roots (Surds) Step by Step
Simplify square roots like √50 and √72 by taking out square factors, combine surds, and rationalise denominators, with clear worked examples.
Author: <span>math_person</span>
How to Simplify Fractions Step by Step
Simplify any fraction to its lowest terms using the greatest common factor, with worked examples, prime-factor checks and common mistakes.
How to Find the LCM and GCF (Three Methods)
Find the least common multiple and greatest common factor by listing, prime factorisation and Euclid's algorithm, and learn when to use each.
How to Check Your Own Maths Working (and Find the First Mistake)
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.
How to Calculate Mean, Median and Mode
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.
How to Calculate a Percentage: 3 Easy Methods
Learn three simple ways to calculate a percentage of a number, find what percent one number is of another, and work out percentage change.
Derivatives for Beginners: Power, Product and Chain Rules
Learn what a derivative is and how to differentiate with the power rule, product rule, quotient rule and chain rule, with worked examples.
Degrees and Radians: How to Convert and Why It Matters
What a radian is, how to convert between degrees and radians in exact π form, a table of common angles, and why calculus uses radians.
Arithmetic vs Geometric Sequences: Formulas and Examples
Tell arithmetic and geometric sequences apart, find the nth term and the sum of each, and see when a geometric series has a sum to infinity.
How to Find the Area of Common Shapes
Area formulas for rectangles, triangles, circles, trapezoids and parallelograms, with worked examples, units explained and common mistakes.