2014 Even Numbers
Stage: 3 Short Challenge Level: 
What is the difference between the sum of the first 2014 odd numbers and the sum of the first 2014 even numbers?
Posing Questions and Making Conjectures - Short Problems
Stage: 3 and 4
A collection of short Stage 3 and 4 problems on Posing Questions and Making Conjectures.
STEP Prep Summer School 2014
Stage: 5 Challenge Level:
Page of resources for STEP Prep Summer School 2014
Risk and Crime
Stage: 4 Challenge Level:
Are you at risk of being a victim of crime? How does your perception of that risk compare with the facts and figures?
UKMT 2014 Teacher Meetings
Resources to accompany NRICH team presentations at UKMT 2014 Teacher Meetings.
Posing Questions and Making Conjectures - Upper Secondary
Stage: 4 and 5
Hone your skills of mathematical enquiry and conjecture.
What a Coincidence!
Stage: 4 Short Challenge Level:
Weekly Problem 44 - 2012
Consider two arithmetic sequences: 1998, 2005, 2012,... and 1996, 2005, 2014,... Which numbers will appear in both?
Six Ten Total
Stage: 2 Challenge Level:
This challenge combines addition, multiplication, perseverance and even proof.
Six Numbered Cubes
Stage: 2 Challenge Level:
This task combines spatial awareness with addition and multiplication.
Mathematical Modelling - Upper Secondary
Stage: 4 and 5
Explore the ways that mathematics can be used to model and analyse different scenarios.
Representing - Short Problems
Stage: 3 and 4
A collection of short Stage 3 and 4 problems on Representing.
What Is the National Young Mathematicians' Award?
Stage: 2
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.
Advent Calendar 2014 - Primary
Stage: 1 and 2
All the activities in this year's primary Advent Calendar have a food or drink theme. Yum yum!
Thinking Strategically - Short Problems
Stage: 3 and 4
A collection of short Stage 3 and 4 problems on Thinking Strategically.
Representing - Upper Secondary
Stage: 4 and 5
Discover how different mathematical representations can help us to understand mathematical objects.
Number Operations and Calculation Methods - Short Problems
Stage: 3 and 4
A collection of short problems on number operations and calculation methods.
Working Systematically - Upper Secondary
Stage: 4 and 5
Develop your skills in systematic mathematical enquiry
Mathematical Modelling - Short Problems
Stage: 3 and 4
A collection of short Stage 3 and 4 problems on Mathematical Modelling.
Advent Calendar 2014 - Secondary
Stage: 3, 4 and 5
A mathematical challenge for each day during the run-up to Christmas.
Problem Solving Unpacked 12th December 2014
Stage: 1, 2, 3 and 4
Problem Solving Unpacked: Engage, Inspire and Motivate all students. Resources from the one day conference held at CMS in December 2014.
Equations and Formulae Stage 3 - Short Problems
Stage: 3
A collection of short Stage 3 problems on equations and formulae.
Perimeter, Area and Volume Stage 4 - Short Problems
Stage: 4
A collection of short Stage 4 problems on area and volume.
Creating and Manipulating Linear and Quadratic Expressions Stage 4 - Short Problems
Stage: 4
A collection of short Stage 4 problems on creating algebraic expressions.
Cambridge Science Festival 2014
Stage: 3 and 4
Resources from Charlie's Science Festival sessions, March 2014
Patterns and Sequences Stage 4 - Short Problems
Stage: 4
A collection of short Stage 4 problems on patterns and sequences.
Construction - Short Problems
Stage: 3 and 4
A collection of short problems on construction and loci.
Elevenses
Stage: 3 Challenge Level:
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Pythagoras' Theorem and Trigonometry - Short Problems
Stage: 3 and 4
A collection of short problems on Pythagoras's Theorem and Trigonometry.
Perimeter, Area and Volume Stage 3 - Short Problems
Stage: 3
A collection of short Stage 3 problems on area and volume.
Angles, Polygons and Geometrical Proof Stage 4 - Short Problems
Stage: 4
A collection of short Stage 4 problems on angles, polygons and geometrical proof
Working Systematically - Short Problems
Stage: 3 and 4
A collection of short Stage 3 and 4 problems on Working Systematically.
PTI New Teacher Days
Stage: 3, 4 and 5
Resources to accompany Tabitha's and Charlie's workshops at the Prince's Teaching Institute's New Teacher Days.
Functions and Graphs Stage 3 - Short Problems
Stage: 3
A collection of short Stage 3 problems on straight line graphs.
Super Shapes
Stage: 2 Short Challenge Level:
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
Two and Two
Stage: 3 Challenge Level:
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Hundred Square
Stage: 1 Challenge Level:
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
Visualising - Upper Secondary
Stage: 4 and 5
Develop your skills of visualisation of mathematical objects
Equal Temperament
Stage: 4 Challenge Level:
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.
M, M and M
Stage: 3 Challenge Level:
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
How Much Can We Spend?
Stage: 3 Challenge Level:
A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
NRICH is part of the family of activities in the Millennium Mathematics Project.