Research UK university courses with **SACU. **The site is useful for students of any subject anywhere however as you can take the **Spartan Test** to help you find the right course; the test is quick and fun to do – select images which best describe you!

You can use the **Research Tools** (all free to use) to take the Spartan Test, explore subjects, courses, the UK map and Apprenticeships; You can also look at possible careers. The gallery below will give you an idea of the wealth of information available and different ways to explore it. The site is intuitive to use and very well designed.

# Explore Mathematics

There are many sites where you can explore Mathematics beyond your school syllabus – try some of these:

**Maths Careers** this site, managed and maintained by the Institute of Mathematics and its Applications has extensive information on careers in Mathematics and applications of Mathematics in everyday life. Note the various tabs such as **Science and Engineering** at the top of the page and pages for various age groups, see **11-14** for example.

**Nrich **(note you can search for a topic)

**Mathematics in various cultures
**

**A quiz to find a mathematician who shares your interests!**

**Mathematical Moments **an extensive collection of pdfs on many different topics in science, nature,technology, and human culture.

**Fractals video** and **Play with Fractals!**

**Mathematics News from Science daily**

** For older students:**

**Mathematical Gems** and **Understanding Mathematics** from Peter Alfeld – University of Utah

**Reading list** from Cambridge which should interest any student of Mathematics

**STEP** (university admissions papers)

**STEP** – Worked examples

**Introduction to university Maths from the University of Bath**

# Lots more questions!

Perhaps you are revising for end of year exams. If you want some basic practice then David Watkins has an extensive collection of spreadsheets so you can try as many questions as you like on many topics at your chosen difficulty level and then check your answers. The spreadsheets can all be found on his **Dynamic maths** site.

Start by searching for the topic you want; let’s suppose you want to look at adding and subtracting directed numbers. Select the down arrow in the search box and select the topic you want; here we need **integers**. You will then see a selection of Dynamic Worksheets which are all Excel files. If you want to add and subtract integers then choose Integers-01 and download it. Once you have your Excel file you can practise as much as you want as you can generate as many questions as you like.

You will need macros enabled.

Note that you have several choices, you can show answers when you are ready to check; you can choose the number and type of questions and so on.

For more sites with lots of questions see **this post **which includes questions for older students too.

# Algebraic Fractions

A collection of resources for you to learn and practise algebraic fractions.

For a basic explanation see **Mathisfun **and note the questions to try at the end of that page.

**The University of Hull Mathematics notes** seem very clear, in the **Algebra section** we have clear notes and exercises with answers on **Algebraic Fractons. **The notes and exercises include adding, subtracting, multiplying and dividing algebraic fractions.

**Algebraic manipulation** from **Just the Maths **includes a section (1.5.4) on Algebraic fractions**.**

**The mathcentre** has a section on **simplifying algebraic fractions**. On the subject of algebra generally, the mathcentre has a very useful **refresher booklet**.

From the Centre for Innovation in Mathematics Teaching see section 10.13 of this **chapter on equations** for examples and exercises with algebraic fractions. You could check answers to the exercises on Wolfram Alpha. For example :

# Calculators & Tools

I thought I would gather together useful sites/tools for checking your work.

This will be kept updated with any new tools I come across that I think will be useful. I will also add relevant notes and examples.

Do explore **the various pages**;

- Order of Operations
- Standard Form
- Factors
- Fractions
- Equations: Linear & Quadratic
- Sequences
- Trigonometry
- Statistics – Diagrams
- Statistics 16+
- Polynomials
- Calculus
- Matrices
- Decision Mathematics
- Mechanics

I have checked all links are working and made some happy discoveries along the way where tools have been improved. There are many calculators here from basic to rather more advanced. I will keep these pages regularly updated.

On **Decision Mathematics** for example, check the excellent Linear Programming grapher from zweigmedia.com:

And look at the calculator from zweigmedia for normal distribution probabilities on the **Statistics 16+** page, not only are probabilities calculated but a very clear diagram illustrating those probabilities is also provided.

The **Graphs section** has also had a major update with all the Desmos resources gathered together

# UK Mathematics SAT Papers

These papers are taken at the end of Year 9 (UK age 13-14)

For papers on emaths click the link **here.**

Note the useful revision questions and interactive papers at the foot of the page.

If you are looking for some more questions – see **‘Questions, lots of questions!**

# Desmos Slideshows

I thought it would be useful to put all the Desmos examples in one place. These slideshows show you many examples of Desmos graphs and the syntax you need to create them.

# Happy Valentine’s Day!

This year you can even use the **Desmos API …**

# Statistics – WolframAlpha

A new slideshow has been added to the page demonstrating **WolframAlpha syntax**. WolframAlpha can be very useful for checking for example normal probabilities. Each query as you will see in the slides is illustrated with a diagram. It is always useful to sketch a diagram when solving any normal distribution problems.

# Transformations – Desmos Graphing Calculator

Explore transformations of graphs with the Desmos Graphing Calculator.

**(See also Learning to use the Desmos Graphing Calculator) **