Prepare for University

This is the NRICH collection of materials to help you to prepare for university and to help you to appreciate how exciting and interesting advanced mathematics and its applications can be. You might have already chosen a course or might be thinking about which university subject would best suit your interests. You might even have been to university and want to see how mathematics works in a discipline other than your own!

In this collection there are small selections of problems to do and articles to read. We suggest that you take your time over these to allow yourself to really get involved with the concepts, some of which might seem rather unusual. We have chosen the material to cover both core mathematical topics and mathematical styles of thinking that are useful at university.

Prepare for University - Pure Mathematics

Stage: 5 Challenge Level: Challenge Level:1

Helpful preparation for those intending to study a course involving pure mathematics at university.

Prepare for University - Applied Mathematics

Stage: 5 Challenge Level: Challenge Level:1

Helpful preparation for university for those intending to study a course involving applied mathematics at university.

Interactive Workout - Mathmo

Stage: 5 Short Challenge Level: Challenge Level:1

Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!

Maths in the Undergraduate Physical Sciences

Stage: 5

An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths topics (e.g. complex numbers) and their applications.

Mathematical Preparation for the Cambridge Natural Sciences Tripos

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This page gives advice on mathematical preparation for students who will be coming to Cambridge University to study Natural Sciences.

Advanced STEM

Stage: 4 and 5 Challenge Level: Challenge Level:1

Advanced problems in the mathematical sciences.

Prepare for University - Mathematical Physics

Stage: 5 Challenge Level: Challenge Level:1

Helpful preparation for university for those intending to study physical sciences.

Prepare for University - Engineering

Stage: 5 Challenge Level: Challenge Level:1

Helpful preparation for university for those intending to study engineering.

Prepare for University - Mathematical Chemistry

Stage: 5 Challenge Level: Challenge Level:1

10 of our best problems to help you prepare to study chemistry at university.

Prepare for University - Mathematical Biology

Stage: 5 Challenge Level: Challenge Level:1

Helpful preparation for university for those intending to study biological sciences.

STEP Preparation

Stage: 5 Challenge Level: Challenge Level:1

NRICH's collection of resources to help students prepare for the STEP examinations.