# GCSE Maths

## Averages of data in a frequency table

We now know how to find the averages of data, but what if this data is grouped? This makes things ...

## Frequency diagrams

All about frequency diagrams A frequency diagram (also known as a bar chart) uses bars to represent each different part ...

## Grouped frequency and class boundaries

One thing that you may have noticed in this lesson is the class boundaries for some of the groups. In ...

Quadratic equations A quadratic equation involves \( x^2 \) and when we look to solve an equation of this sort ...

## Addition and subtraction of algebraic fractions

Recall that to get the fractions to the same denominator we looked to multiply or divide the entire fraction (both ...

## Using factorisation

Another way in which we can simplify fractions and equations is to factorise the different parts to find common terms. ...

## Sequences using Nth terms

What are sequences? A sequence is just a list of numbers that follows a specific pattern. This can then help ...

## Cumulative frequency

What is cumulative frequency? Frequency and cumulative frequency are very closely related. If we are given an ordinary frequency then ...

## Cumulative frequency in reverse

On some occasions we may have to work with cumulative frequency ‘in reverse’. Sometimes we may start with a cumulative ...

## Hypotheses and Proofs

What is a hypothesis? A hypothesis is basically a theory that somebody states that needs to be tested in order ...

Other quadratics At times we may be faced with a harder type of quadratic which does not have the same ...

## Circle theorems

Many circle theorems were developed by ancient Greek mathematicians who recognised the use of the circle and looked into its ...

## Inequalities and Graphs

Graphical inequalities By solving an inequality on a graph that involves both x and y we get a region on a graph rather than a ...

## Primary and secondary sources

So far we have looked at collecting data using surveys and asking people ourselves. This is known as primary data ...

## Dealing with fractions

We have already looked at multiplying and dividing fractions earlier and the exact same methods and principles are used even ...