The graph helps to properly analyze and give a correct interpretation of given information. It is therefore important to learn graphing fundamentals. Gradients Gradients state how steep a line is. It’s also called the slope. A line may have a positive or a negative gradient. Positive gradient means the slope is going upward. Negative gradient

# 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.

## Angles Theorems

We are familiar with the parts of a circle, namely radius, diameter, chords and centre. Let’s discuss circle angle theorem. What are the other properties of a circle? What is circle theorem? Circle theorems is finding the angle or a figure within a circle. Let’s recall the basic parts of a circle. The radius is

## Bearings

A bearing measures the movement of an angle in a clockwise direction and always on the north line. The bearing of a point is the line joining the centre of the compass through the point measured in degrees in a clockwise way from the north direction. In navigation, bearings are used to express something about

## Cyclic Quadrilateral

Cyclic quadrilateral is defined as a four-sided figure whose vertices lie on the circumference of a circle. A cyclic quadrilateral is a quadrilateral inscribed in a circle. Remember that not all quadrilaterals inside a circle are cyclic as its vertices must lie on the circle. The above example is not a cyclic quadrilateral even though

## Factorising

Expanding Brackets Removing the brackets is known as distributive law. To remove the brackets, multiply each term outside the bracket. Example: \(3(x + 2)\) Multiply each term inside the bracket by 3. \(3 (x) + 3 (2) = 3x + 6

## What Is A Function?

Functions Many equations describe a real-life relationship between two quantities, also known as function. The function is said to be the central idea in the study of mathematics. A \(\underline{function}\) is a specific rule that compares one quantity to another quantity. The correspondence between two variables, the x and y, use a set of ordered

## Positive and Negative Numbers

Positive and Negative Numbers Observe this number line. What have you noticed? Looking at this number line, you will notice that it consists of numbers with a sign and zero. The sign of a number can be a positive or a negative number, and zero is the midpoint of the number line. From zero, all

## Average

Averages An average is a value representing a group of data. The common averages are the mean, median and mode. Mean Mean is the most common, we know the average, comparing the summary of values. It is the sum of all the numbers divided by the number of addends or respondents. Example: The scores of

## Congruency & Transformations

The common relation between geometric figures is congruency. The shapes or figures are congruent if the length of the sides and angles measure the same. Triangle Congruence Congruent triangles are triangles that have equal lengths of sides and angles. Each pair of the corresponding vertices, sides and angles measure the same. If all the corresponding

## Indices

An index is a power of numbers that indicate how many times it has been multiplied by itself. Here are examples indices: \({2^9},{x^3},x^{1/2}\) and others. In \({2^9}\), wherein the small number, 9, above is the index, it indicates that 2 will be multiplied by itself nine times or \({2^9}\) = \(2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\). The same applies to \({x^3}\) .

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