2014 Even Numbers
Age 11 to 14 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
Age 11 to 16
A collection of short Stage 3 and 4 problems on Posing Questions and Making Conjectures.
STEP Prep Summer School 2014
Age 16 to 18 Challenge Level:
Page of resources for STEP Prep Summer School 2014
Risk and Crime
Age 14 to 16 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.
What a Coincidence!
Age 14 to 16 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
Age 7 to 11 Challenge Level:
This challenge combines addition, multiplication, perseverance and even proof.
Six Numbered Cubes
Age 7 to 11 Challenge Level:
This task combines spatial awareness with addition and multiplication.
Representing - Short Problems
Age 11 to 16
A collection of short Stage 3 and 4 problems on Representing.
Advent Calendar 2014 - Primary
Age 5 to 11
All the activities in this year's primary Advent Calendar have a food or drink theme. Yum yum!
What Is the National Young Mathematicians' Award?
Age 7 to 11
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.
Thinking Strategically - Short Problems
Age 11 to 16
A collection of short Stage 3 and 4 problems on Thinking Strategically.
Mathematical Modelling - Short Problems
Age 11 to 16
A collection of short Stage 3 and 4 problems on Mathematical Modelling.
Advent Calendar 2014 - Secondary
Age 11 to 18
A mathematical challenge for each day during the run-up to Christmas.
Problem Solving Unpacked 12th December 2014
Age 5 to 16
Problem Solving Unpacked: Engage, Inspire and Motivate all students. Resources from the one day conference held at CMS in December 2014.
Cambridge Science Festival 2014
Age 11 to 16
Resources from Charlie's Science Festival sessions, March 2014
CPD in Action
Read a range of reports from different schools about embedding rich mathematics in their setting
Pythagoras' Theorem and Trigonometry - Short Problems
Age 11 to 16
A collection of short problems on Pythagoras's Theorem and Trigonometry.
Elevenses
Age 11 to 14 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?
Working Systematically - Short Problems
Age 11 to 16
A collection of short Stage 3 and 4 problems on Working Systematically.
PTI New Teacher Days
Age 11 to 18
Resources to accompany Tabitha's and Charlie's workshops at the Prince's Teaching Institute's New Teacher Days.
Number Operations and Calculation Methods - Short Problems
Age 11 to 16
A collection of short problems on number operations and calculation methods.
Super Shapes
Age 7 to 11 Short Challenge Level:
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
Visualising - Upper Secondary
Age 14 to 18
Develop your skills of visualisation of mathematical objects
Two and Two
Age 11 to 14 Challenge Level:
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Hundred Square
Age 5 to 7 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?
Equal Temperament
Age 14 to 16 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
Age 11 to 14 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?
Age 11 to 14 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?
1, 2, 3 Magic Square
Age 7 to 11 Challenge Level:
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
Bryony's Triangle
Age 7 to 11 Challenge Level:
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
Fitted
Age 7 to 11 Challenge Level:
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Patterns and Sequences - Short Problems
Age 11 to 16
A collection of short problems on patterns and sequences.
Mastering Mathematics: Developing Generalising and Proof
Age 7 to 11
This feature focuses on generalising and proving.
More Bridge Building
Age 16 to 18 Challenge Level:
Which parts of these framework bridges are in tension and which parts are in compression?
Round and Round and Round
Age 11 to 14 Challenge Level:
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
Telescoping Functions
Age 16 to 18
Take a complicated fraction with the product of five quartics top and bottom and reduce this to a whole number. This is a numerical example involving some clever algebra.
Display Boards
Age 7 to 11 Challenge Level:
Design an arrangement of display boards in the school hall which fits the requirements of different people.
NRICH is part of the family of activities in the Millennium Mathematics Project.