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31 problems, 1 game, 88 articles, 76 general resources, 1 project, 59 Lists, 36 from Stage 1, 48 from Stage 2, 74 from Stage 3, 84 from Stage 4, 108 from Stage 5

Why might you wish to study science at university? Read about the views of current students! UNDER DEVELOPMENT

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.

You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.

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?

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.

This page gives details of the sponsors of NRICH and describes ways in which you could make a donation.

Key questions arising from the Tracking Back study

Find out about the research activities of the NRICH team and other colleagues here.

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...

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 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.

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

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.

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

This short article contains some advice for students preparing for university interviews in Mathematics.

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

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.