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M7 Types of solutions

Systems of linear equations can have infinitely many solutions, no solution, or a unique solution.

M8 Inverse of a 2x2 matrix

There is no division operation in matrix algebra. However, there is multiplication by the inverse.

M9 Inverse of a 3x3 matrix


These maths learning activities will improve your skills in the area of Matrices.


What is a unit of measurement? How do I deal with measurement errors? Measurement is an important skill for everyday life but especially in fields of STEM. These pages will enhance your understanding...

NM1 Newton’s method

Some equations cannot be solved using algebra or other mathematical techniques. In this case we need to use numerical methods. Newton’s method is one such method and allows us to calculate the...

NM2 Simpson’s rule

Some integrals cannot be evaluated in terms of the rules of integration or elementary functions. Simpson’s rule is a numerical method that calculates a numerical value for a definite integral.

NM3 The trapezoidal rule

The trapezoidal rule is a numerical method that calculates a numerical value for a definite integral. Some integrals cannot be evaluated in terms of the rules of integration or elementary functions.


Where do you start counting from? zero? Think again! Calculating with numbers is a basic skill for everyday life. Watch these videos to see how the number system of integers (counting numbers)...

Numerical methods

Use these numerical methods worksheets to improve your skills in these areas of maths.

Nursing calculations

The following video links are an introduction to basic drug calculations for nursing. After each video, test your knowledge with the interactive activities.

Percentages & surds

How can you turn a raw score in a test into a percentage? If you get 15/20 for a test, you have done as well as someone who got 75 out of 100!

PF1.2 Forces on Slopes

We will look at the gravitational force acting on an object on a slope. These can be divided into two components, the normal (resisting) force pushing into the slope which produces friction and the...

S1 Summation notation

Summation notation, also known as sigma notation, is a shorthand method of writing the sum or addition of a string of similar terms. This module explains the use of this notation that is often used...

S10 Standard normal distribution

A normal distribution with a mean of zero and a standard deviation of one is called the standard normal distribution. Areas under the standard normal distribution curve represent probabilities which...

S11 Probability and the normal distribution

In any normal distribution the mean and standard deviation can be used to convert it to a standard normal distribution and when can then compute probabilities.

S12 Sampling distributions

Learn how we can sample distributions. The distribution of the means of all the possible samples of a certain size tend to follow a normal distribution.

S13 Confidence intervals

We can use the mean of a sample to estimate the mean of the entire population. It is more appropriate to give an interval estimate rather than a point estimate.

S14 Hypothesis testing

This module explains how to set up and test hypotheses to see if a difference between a sample mean and a population mean is significant.

S15 T-tests

Hypothesis testing usually uses the population standard deviation to calculate a “z” value. If the population standard deviation is unknown, we use the sample standard deviation to calculate a “t”...