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Getting ready to start to study science, engineering or mathematics at university? Prepare yourself with these entertaining and thought-provoking mathematical challenges.
This module contains advice and resources to help you prepare for university interviews.
To break down an algebraic fraction into partial fractions in which all the denominators are linear and all the numerators are constants you sometimes need complex numbers.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
NRICH is funded by grants and philanthropic donations from sponsors committed to making a positive contribution to mathematics education.
Here's a chance to work with large numbers...
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
This module offers some tricks and tips for dealing with questions involving equations and inequalities.
Here we present a collection of NRICH problems which will be of use and interest to those hoping to study economics at university.
This module looks at hyperbolic functions.
Where to find the NRICH offices.
This page gives details of ways in which you might contact us.
Find out about the research activities of the NRICH team and other colleagues here.
Key questions arising from the Tracking Back study
This module offers last-minute hints, advice and practice for preparing for advanced problem solving examinations.
This module looks at some of the things you need to understand about polar coordinates.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
This module offers advice on getting your head round "unusual" questions.
This module covers some techniques for dealing with complex numbers.
This module looks at some of the key concepts involving series and sums.
These resources offer support and suggest ways of using stemNRICH in your classroom.
If you value NRICH, would you consider supporting us by making a donation?
This module will help you to improve your trigonometry skills and understanding.
This article reports on a brief study concerning the algebraic fluency of highly performing UK mathematics students
This module helps you to understand how to approach advanced geometry questions.
Our first Advanced Problem Solving module provides a gentle introduction to being a problem-solver.
This module explores what you need to know in order to tackle advanced Mechanics questions.
In this module, you will learn about proof by induction and apply it to STEP questions.
In our sixth Advanced Problem Solving module, clever substitutions are the key to solving problems.
A holding page for the resources and links from the first stemNRICH TI day for 2012-13.
This module highlights the importance of integration.
Helpful preparation for university for those intending to study physical sciences.
A short description of the Fast Forward Programme.
This short article contains some advice for students preparing for university interviews in Mathematics.
This module looks at how to solve problems involving vectors.
More publications, books, resources and CDs authored by the NRICH team
Helpful preparation for those intending to study a course involving pure mathematics at university.
This module offers advice and practice on how to sketch graphs.
Our fourth module aims to give you a clearer understanding of the concepts underpinning calculus.
Helpful preparation for university for those intending to study engineering.
The second Advanced Problem Solving module introduces you to mathematical notation and logical thinking.
This module offers advice and practice on dealing with questions involving Differential Equations.
This Advanced Problem Solving module introduces some important aspects of mathematical proof.
Dr Holly Krieger explains how she uses complex numbers to understand dynamical systems, including beautiful fractals.
Our fifth module explains some key calculus skills.