Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
An odd version of tic tac toe
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of this junk?
Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?
Can you fit the tangram pieces into the outlines of these people?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Complete the squares - but be warned some are trickier than they look!
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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?
Move just three of the circles so that the triangle faces in the opposite direction.
Can you fit the tangram pieces into the outline of Little Ming?
What happens when you try and fit the triomino pieces into these two grids?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you find just the right bubbles to hold your number?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
A generic circular pegboard resource.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
Can you fit the tangram pieces into the outline of Granma T?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of this telephone?
Match the halves.
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Can you cover the camel with these pieces?
Can you fit the tangram pieces into the outline of the rocket?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Use the interactivities to complete these Venn diagrams.
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Use the interactivity to sort these numbers into sets. Can you give each set a name?
Exchange the positions of the two sets of counters in the least possible number of moves
A variant on the game Alquerque
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Use the clues to colour each square.
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?