Welcome to the NRICH Advanced Problem Solving pages.
This is an archive resource. For our current STEP preparation programme please visit maths.org/step.
These resources are designed to help potential university applicants develop their advanced problem-solving skills and prepare for sitting examinations such as STEP. The material has been carefully selected to provide an accessible and supportive introduction to advanced problem-solving, and to help you build
your confidence, fluency and speed.
Start by reading about the materials, or scroll down to get started on the modules.
The 24 modules below begin with general problem-solving skills and gradually introduce new techniques, ideas and advice to help you to solve advanced problems.
You may also be interested in Stephen Siklos's book, Advanced Problems in Mathematics: Preparing for University, which can be downloaded for free.