GCSE Maths Revision Notes & Study Guide for Students

Here you will find comprehensive GCSE Maths revision notes for students, including worksheets & PowerPoint lessons, that will save you 100's of hours of GCSE maths revision prep.

Algebraic Expression

In Algebra, we commonly see x, y and others. Why do we use letters? How can we solve it? An algebraic expression is a combination of integer constants, variables, exponents and algebraic operations such as addition, subtraction, multiplication and division. 5x, x + y, x-3 and more are examples of algebraic expression. A constant is

Simultaneous Equations

Solving Simultaneous Equation Have you heard simultaneous equation? How can we solve if the equation has two unknown value? The simultaneous equation is an equation with two or more unknown value which the value of the unknown is same to the other equation. There is a three method to find the value of unknown which

Loci Definition

Imagine a pilot flying an aeroplane at a certain speed, direction and altitude. By satisfying all these conditions, the plane had a good flight. In Mathematics, a set of points that satisfy one or more conditions is called a locus. Let’s have an example: A circle with a centre point A and radius of 1

Numbers – Types & Definition

Numbers are words, symbols or figures used in counting and making calculations. A number represents a particular quantity and indicates an order or sequence. It can be a sign number, fraction, surd and decimal. Types of Numbers Integers Integers are whole numbers, sign numbers and zero. Sign numbers are positive or negative numbers. Sign Number

Number Sequences – Arithmetic, Geometric and Fibonacci

Number Sequences The number sequence is a set of numbers that show a series of a pattern.The term is the number in the sequence. There is a certain rule that a number follows, for example, 4, 8, 12 and this sequence shows that number 4 is added in each term. This is an example of

Definition of Percent

Percent Percent is some part of something, expressed in numbers. Percent is denoted by the symbol %. Percent is used to show a part of something in the general quantity. To find the percent of something means to find the part of something in general amount. Some kinds of percent are commonly used in the

Pythagoras Theorem

Pythagoras Theorem Consider the triangle \(ΔPMK, P = 90^{∘}\) A triangle is called a right-angled triangle if one of its angles is \(90^{∘}\). So, ΔPMK is a right-angled triangle (or rectangular triangle) with right-angle \(\angle P\). The side of the rectangular triangle, which lies opposite the angle \(90^{∘}\), is called the hypotenuse. One of the

Shapes, Symmetry and Tessellation

Let’s learn more about shapes, polygon and geometric figures. Shapes A shape is a particular form or appearance of an object. It can be a two- or three-dimensional shape. Shapes can be a polygon. A polygon is a plane figure where the sides are straight and form an angle. A polygon can be regular or

Sine and Cosine Rule

There are different kinds of triangle: a right, acute and obtuse triangle. Solving for the sides of a right triangle, we commonly used the Pythagorean theorem. How do you solve for the side and angle of a non-right triangle? Sine rule Sine rule determines the relations of the lengths of the sides to its opposite

Solving Equations – Trial, Improvement & Iteration

Solving Equations There are many ways to find the value of a variable. However, let’s study solving for the unknown using trial, improvement, and iteration. Trial and Improvement This is a method of finding the value of an unknown by estimating the possible value of the variables and trying to solve it using the equations.