484 problems, 3 games, 125 articles, 45 general resources, 2 interactive environments, 2 projects, 93 Lists

Resources to accompany Charlie's workshops and presentation.

Develop your skills in systematic mathematical enquiry

Explore a task from our Wild site on each day in the run up to Christmas

Weekly Problem 45 - 2015

If Sam is getting married on the 9th of November 2015 aged 30, do you know which year he was born in?

A collection of short Stage 3 and 4 problems on Reasoning, Justifying, Convincing and Proof.

We have been exploring what mastering mathematics in the context of problem solving means to us at NRICH.

Resources to accompany NRICH team presentations at UKMT 2015 Teacher Meetings.

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

A collection of short Stage 4 problems on equations and formulae.

NQT Inspiration Day: Nurturing Creative Problem Solvers - Summer 2015 event in Cambridge

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

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

Develop your skills of mathematical argument and proof.

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

A collection of short Stage 3 and 4 problems on number operations and calculation methods.

Develop your skills of visualisation of mathematical objects

A collection of short problems on construction and loci.

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

Details about free CPD events in June and July 2015.

Resources to accompany Charlie's workshop at the Prince's Teaching Institute's Residential Summer School in Cambridge.

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

Resources to accompany Fran's and Charlie's workshops at the ATM & MA Easter Conferences.

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

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.

There are lots of different methods to find out what the shapes are worth - how many can you find?

Resources to accompany Charlie's 2015 presentation at PLT Day in Devonport High School for Boys.

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

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

Which of these games would you play to give yourself the best possible chance of winning a prize?

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?

The Tower of Hanoi is an ancient mathematical challenge.

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful.

Which has the greatest area, a circle or a square inscribed in an isosceles, right angle triangle?

A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

A collection of short problems on factors, multiples and primes.

Can you explain the surprising results Jo found when she calculated the difference between square numbers?

It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.

If a sum invested gains 10% each year how long before it has doubled its value?

If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?

How good are you at finding the formula for a number pattern ?

If you were to set the X weight to 2 what do you think the angle might be?

Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.

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

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?