Library Subject Guides

Resources and practice tests to develop your maths skills

Learn about a specific topic, complete tasks, and work through sections to improve your knowledge and skills.

- HELM workbooksHELM (Helping Engineers Learn Mathematics) provides explanations and exercises covering various maths topics. The downloadable PDF workbooks are great for offline studying or annotation.
- Khan Academy (Maths)Khan Academy offers video tutorials, explanations, and quizzes for various maths topics. This link takes you to their college algebra page, but they have many more topics.
- Maths for the Physical SciencesRevision materials and practice questions for more advanced maths skills covered in Year 2 of a Physics undergraduate course such as complex numbers, sequences and series, integration, differentiation, and 3-dimensional coordinate systems.
- Maths for the SciencesRevision materials, practice questions and subject-related applications of more advanced A-level maths skills which are relevant for undergraduate science degrees.

These resources are more useful as reference materials or for studying a topic in depth.

- 3Blue1BrownAnimated maths videos that give insight into where certain maths concepts come from
- Math Centre Quick Reference LeafletsThis is a great place to start. Plenty of free online maths resources and "how-to" leaflets.
- MathWorldA comprehensive encyclopedia of mathematics with detailed resources on all areas of maths.

- Accessible Maths ToolkitThis website by the University of York provides an overview of other accessible maths tools.
- DesmosDesmos allows you to graph equations, plot data points, explore transformations, analyse functions, and solve equations.
- GeoGebraGeoGebra is a free digital geometry, algebra, statistics and calculus tool.
- Introduction to EquatIOEquatIO is a piece of software that runs on your desktop or browser and allows you to read, write and listen to mathematical material. It also has STEM and graphing tools.
- WolframAlphaWolfram Alpha is a computational knowledge engine developed to provide answers to factual queries and perform various types of calculations. It answers specific questions using structured data, algorithms, and mathematical models.

Use these short diagnostic tests to check your understanding or as a refresher on key maths skills required for the Maths modules in Economics and PPE courses.

If you get less than 60% in the tests, consider booking a maths appointment for advice and resources to supplement your skills.

- Algebra Skills AuditPractice questions on a range of algebra skills.

For guidance and review, see section 1 Basic Algebra on the HELM Workbooks.

- Indices & Powers Skills AuditPractice questions on rules of indices including fractional powers.

For guidance and review, see section 1.2 Indices (within Basic Algebra) on the HELM Workbooks.

- FractionsPractice questions on adding, subtracting, multiplying and dividing numerical fractions.
- Further fractionsMore practice questions on manipulating fractions.

For guidance and review, see section 1.4 Arithmetic of Algebraic fractions (within Basic Algebra) on the HELM Workbooks.

**Calculus practice**

- Calculus Practice QuestionsA collection of integration and differentiation questions to check your skills.

Do you need a quick refresher on particular math concepts, or perhaps you've forgotten some math you learned at school? Below are some resources that we recommend for refreshing your memory.

- Maths is FunThis website makes learning mathematics enjoyable through puzzles, games, worksheets, and an illustrated dictionary.
- Zero to Hero Maths RefresherA resource from the University of Bath with written and video explanations as well as practice questions. Topics covered range from negative numbers to calculus, and some good advice on reading mathematical textbooks.

Here are some Skills Audits to help you evaluate your skills of maths you learnt in school, with topics picked to be most relevant to specific courses. You can use these to determine which areas you might want to brush up on to prepare for your course, or book a maths appointment to discuss any questions you would like further guidance on.

We are still working on these resources so they may be incomplete in places. Please let us know if you have any feedback on them by emailing maths-skills-centre@york.ac.uk.

- Transition to University - EngineeringA-level maths questions relevant to your Engineering course, including topics Algebra and functions, Coordinate Geometry and Graphs, Trigonometry, Logs and exponentials, and Calculus.
- Transition to University - Computer ScienceQuestions relevant to undergraduate Computer Science, including Algebra, Sequences and Series, Factorials, Logs and Exponentials, Matrices, and Probability.