# Mathematics Refresher

The resources below will help if you have not studied mathematics for a while and wish to refresh your skills. For example, this is particularly useful if you are applying for any of our degrees with a Foundation Year offered through the Department of Lifelong Learning (DLL). A sample maths assessment paper for the foundation year in DLL is also available.

### Why not try our online self-diagnostic test?

Useful facts and formulae can be found in over on the Facts and Formulae page.

Skills Learning Outcomes Worksheet Webpage

Positive and negative numbers

• multiply and divide numbers
• use the correct order of arithmetical operations

Rules of Arithmetic

Directed numbers

Positive and negative numbers: addition and subtraction, multiplication and division

BODMAS

Fractions
• multiply and divide fractions

Fractions - basic ideas

Fractions

Fractions

Decimals
• multiplying and dividing decimals

Decimals

Decimals
Percentages
• how to calculate percentages

Percentages

Percentages
Algebra
• simplifying algebraic expressions
• expanding (or removing) brackets

Introduction to algebra

Simplifying expressions

Removing brackets 1

Removing brackets 2

Algebra (Includes simplifying expressions, expanding brackets, factorising and solving equations)

Statistics
• differences between mean, median and mode
• how to calculates these averages

Averages

Statistics (Includes Mean, Mode and Median, and displaying results)

Probability
• finding the probability of simple events
• finding the probability of mutually exclusive events and combinations of "and" and "or"

Probability 1

Probability 2

For all enquiries, feedback or comments you can use our contact form or email: mash@sheffield.ac.uk