Math

Everything that kids need to know about triangles before they move on to more complex topics like working out missing sides and angles.

Basic shapes can be combined in different ways to produce different areas. Each shape is not altered in any way, so the challenge is to figure out why this is happening. These cater to the puzzle enthusiast as well as to the mathematician looking for formal proof.

Learn all about congruences in Number Theory, as well as the related theorems of Fermat and Euler.

Learn all about relations in Set Theory. You'll find helpful definitions as well as information on four of the most important types of relations.

Learn about set theory in discrete mathematics, including how to represent sets and subsets. You'll find examples to help you further.

A quick guide to solving direct proportion questions including finding missing values in tables and solving worded problems.

This article explains differential equations and provides examples.

Find out all about the Collatz Conjecture, its origins and more in this quick maths article.

Find out how to do long multiplication using Napier's Method, also known as Lattice multiplication, in this quick maths article.

The final question on the 2022 Edexcel GCSE Mathematics paper has been branded as 'impossible' by many people. In this article we take a look at how to solve it.

Learn how to expand a pair of brackets such as (x+1)(x+3) in this quick algebra maths lesson.

Linear Algebra is a branch of Mathematics that deals with the study of Linear Equations, Vector Spaces and Linear Maps. It is used in one way or another in plethora of fields such as Computer science, Quantum Physics and Quantum Informatics, Biology and Data Science.

Learn how to find the mean, median, mode and range from grouped data in a frequency table in this quick maths article.

Prime numbers and composite numbers are types of numbers based on the number of factors that a number has. Factor is a value or a number that can divide a number or an expression evenly; which means that when a number is divided by its factor, no remainder exists.

Learn how to find the mean, median, mode and range from a frequency table in this quick maths article.

Whole Numbers is the union set of zero and set of natural numbers (counting numbers/positive integers). It is conventionally denoted with W. It can be written as W: { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14...}.

Find out how to calculate the different averages and the range of a group of numbers in this quick maths article all about the mean, median, mode and range.

Have you ever wondered just how many gifts you would receive if your true love actually gave you all of the gifts from the Twelve Days of Christmas carol? Find out in this Christmas-themed maths article.

Find out how to use Pythagoras' theorem to find the length of missing sides on right-angles triangles in this quick maths article.

In this quick maths article we look at how to find the lowest common multiple and highest common factor of two numbers quickly and efficiently using prime factors.

In this quick maths article, find out what prime factors are, how to find them using a factor tree and how any number can be written as a product of its prime factors.

In this quick maths article, find out what the angles in a polygon add up to, as well as the difference between interior and exterior angles.

What are the triangular numbers? Find out how the sequence is defined and more interesting facts in this quick maths article.

Ever wondered why circles have 360 degrees? Why not a simpler number such as 10 or 100? Find out some possible reasons in this quick maths article.

How do you factorise quadratic equations quickly and easily? Find out in this quick algebra maths lesson.

Do you know what pi equals? 3.141... right? Here's a curious geometric proof that pi equals 2.

Learn how to calculate a percentage of an amount quickly and easily by using the decimal multiplier method.

Find out about Dudeney numbers and how to find them in this quick maths article.

This article helps you learn the concept of alternate interior angles in geometry through solving various examples. The article also includes the converse of the alternate interior angles theorem and its proof.

In this article, you will learn how to use each double angle formula for sine, cosine, and tangent in simplifying and evaluating trigonometric functions and equations. This article also includes double angle formulas proof and word problems.

Learn how to solve direct variation examples. This article also includes a definition of direct variation, as well as the corresponding formula, graph, and an explanation of how to create formula equations.

This article will teach you how to find coterminal angles in degrees and radians.

Learn about three ways of solving quadratic equations in this quick maths article.

Learn how to divide complex numbers in polar form by learning the step-by-step procedures shown in the examples.

Learn how to solve inverse variation problems in algebra. This article also includes definitions, formulas, graphs, and examples explaining how to translate mathematical statements of inverse variations to equations and vice versa.

Learn how to solve joint variation problems in algebra. This article includes definitions and various examples about joint variation and combined variation that will help you gauge your understanding of the topic.

Learn how to perform the vertical line test in identifying if a graph is a function or not. This article also includes definitions and various examples that will gauge your understanding of the topic.

Learn how to calculate the area of the shaded region using the area decomposition method. This article also includes step-by-step procedures for all types of problems involving shaded areas.

Learn how to sketch a cotangent graph by learning its properties such as period, horizontal shift, vertical shift, amplitude, vertical asymptotes and more. This article also includes examples of step-by-step procedures on how to graph secant functions with different forms.

How do we find the sum of a geomtric sequence? Discover how to quickly add up the first terms of a geometric sequence in this quick maths article.

Learn how to sketch a secant graph by learning its properties such as period, horizontal shift, vertical shift, amplitude, and more. This article also includes examples of step-by-step procedures on how to graph secant functions with different natures.

What are hexadecimal numbers, what are they used for and how do we convert them into decimal numbers? Find out all of this and more in this quick math article.

Learn the different reciprocal identities in trigonometry together with other fundamental identities such as Pythagorean and quotient identities. This article includes several examples that can help in understanding the trig reciprocal identities.

Learn how to apply sum and difference formulas in solving trigonometric equations. This article also includes the definition of sum and difference identities, proofs, and examples with solutions.

Learn how to solve problems about similar polygons using the concepts of ratio of areas, perimeters, side lengths, diagonals, and angle bisectors. This article also includes practice problems with solutions and answers that will help you gauge your understanding of the topic.

You keep pulling socks out of a messy drawer, desperately trying to find a matching pair, but all you seem to get are odd socks. How many socks will you need to pull out of the drawer in order to be guaranteed a matching pair? Find out in this quick mathematics article.

Learn how to solve mutually inclusive events in probability by going through the examples written in this article.

Learn how to use the triangle proportionality theorem to complete triangle proportions, solve word problems, and find the value of the missing sides of a triangle. This article includes the triangle proportionality theorem proof and examples that can help you fully gauge your understanding of it.

A look at how using the difference of two squares can speed up your mental arithmetic with large numbers.

It's common knowledge that the square root of two is an irrational number, but how can we prove it? Find out in this quick mathematics article.