Limits Explained: Substitution, Factoring and L'Hôpital's Rule
What a limit is, how to evaluate one by substitution, factoring or L'Hôpital's rule, and how to handle limits at infinity. Clear worked examples.
Maths guides – page 5
Step-by-step guides, worked examples and study tips.
Logarithms Explained for Beginners
What a logarithm is, how it undoes an exponent, the three log laws, the change-of-base formula and how to solve exponential equations.
Permutations vs Combinations: When Order Matters
Learn the difference between permutations and combinations, the nPr and nCr formulas, and how to use them for lotteries, teams and passwords.
Sine, Cosine and Tangent Explained (SOHCAHTOA and the Unit Circle)
Learn what sin, cos and tan mean in right triangles and on the unit circle, the exact values for 30°, 45° and 60°, and the ASTC sign rule.
Standard Deviation and Variance Explained Step by Step
What standard deviation measures, how to calculate it for a population or a sample, why samples divide by n − 1, and a full worked example.
The Normal Distribution and Z-Scores Made Simple
Understand the bell curve, the 68–95–99.7 rule, z-scores and how to find normal probabilities, with worked examples on test scores and heights.
The Pythagorean Theorem with Worked Examples
Use a² + b² = c² to find any side of a right triangle, check for right angles, and find distances on a grid. Worked examples and common mistakes.
Three Ways to Solve a Quadratic Equation
Solve quadratic equations by factoring, the quadratic formula and completing the square, with worked examples and tips on choosing a method.
Volume and Surface Area: The Formulas You Actually Need
Volume and surface area formulas for cubes, cuboids, cylinders, cones, spheres and pyramids, with worked examples and the one-third rule explained.
What Is the Discriminant? Reading a Quadratic at a Glance
The discriminant b² − 4ac tells you how many roots a quadratic has and what kind they are. Learn to use it with clear examples.