Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
A game in which players take it in turns to choose a number. Can you block your opponent?
A challenge that requires you to apply your knowledge of the properties of numbers. Can you fill all the squares on the board?
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outline of these rabbits?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Can you fit the tangram pieces into the outline of Mai Ling?
Here is a version of the game 'Happy Families' for you to make and play.
Can you fit the tangram pieces into the outline of this plaque design?
Can you fit the tangram pieces into the outline of this goat and giraffe?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of the telescope and microscope?
Can you fit the tangram pieces into the outlines of the workmen?
Can you fit the tangram pieces into the outline of this junk?
In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
An activity making various patterns with 2 x 1 rectangular tiles.
Here's a simple way to make a Tangram without any measuring or ruling lines.
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.
Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
How many models can you find which obey these rules?
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Use the tangram pieces to make our pictures, or to design some of your own!
Can you make the birds from the egg tangram?
Starting with four different triangles, imagine you have an unlimited number of each type. How many different tetrahedra can you make? Convince us you have found them all.
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Can you fit the tangram pieces into the outline of Little Fung at the table?
A game to make and play based on the number line.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?
Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
What is the greatest number of squares you can make by overlapping three squares?
Can you fit the tangram pieces into the outline of this sports car?
How can you make an angle of 60 degrees by folding a sheet of paper twice?