What is the difference between the sum of the first 2014 odd numbers and the sum of the first 2014 even numbers?

A collection of short Stage 3 and 4 problems on Posing Questions and Making Conjectures.

Page of resources for STEP Prep Summer School 2014

Are you at risk of being a victim of crime? How does your perception of that risk compare with the facts and figures?

Resources to accompany NRICH team presentations at UKMT 2014 Teacher Meetings.

Hone your skills of mathematical enquiry and conjecture.

Weekly Problem 44 - 2012

Consider two arithmetic sequences: 1998, 2005, 2012,... and 1996, 2005, 2014,... Which numbers will appear in both?

This challenge combines addition, multiplication, perseverance and even proof.

This task combines spatial awareness with addition and multiplication.

Explore the ways that mathematics can be used to model and analyse different scenarios.

A collection of short Stage 3 and 4 problems on Representing.

All the activities in this year's primary Advent Calendar have a food or drink theme. Yum yum!

This brief article, written for upper primary students and their teachers, explains what the Young Mathematicians' Award is and links to all the related resources on NRICH.

A collection of short Stage 3 and 4 problems on Thinking Strategically.

Discover how different mathematical representations can help us to understand mathematical objects.

A collection of short problems on number operations and calculation methods.

Develop your skills in systematic mathematical enquiry

A collection of short Stage 3 and 4 problems on Mathematical Modelling.

A mathematical challenge for each day during the run-up to Christmas.

Problem Solving Unpacked: Engage, Inspire and Motivate all students. Resources from the one day conference held at CMS in December 2014.

A collection of short Stage 3 problems on equations and formulae.

A collection of short Stage 4 problems on area and volume.

A collection of short Stage 4 problems on creating algebraic expressions.

Resources from Charlie's Science Festival sessions, March 2014

A collection of short Stage 4 problems on patterns and sequences.

Read a range of reports from different schools about embedding rich mathematics in their setting

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

A collection of short problems on Pythagoras's Theorem and Trigonometry.

A collection of short Stage 3 problems on area and volume.

A collection of short Stage 4 problems on angles, polygons and geometrical proof

A collection of short Stage 3 and 4 problems on Working Systematically.

Resources to accompany Tabitha's and Charlie's workshops at the Prince's Teaching Institute's New Teacher Days.

A collection of short Stage 3 problems on straight line graphs.

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Develop your skills of visualisation of mathematical objects

The scale on a piano does something clever : the ratio (interval) between any adjacent points on the scale is equal. If you play any note, twelve points higher will be exactly an octave on.

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?