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 ...
Solving quadratic equations
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 ...
Harder types of quadratics
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 ...