Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outline of Little Ming?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
What do these two triangles have in common? How are they related?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
A game to make and play based on the number line.
Can you fit the tangram pieces into the outlines of the workmen?
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 the chairs?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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.
How can you make an angle of 60 degrees by folding a sheet of paper twice?
Can you deduce the pattern that has been used to lay out these bottle tops?
Can you fit the tangram pieces into the outline of the rocket?
Can you cut up a square in the way shown and make the pieces into a triangle?
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 Mai Ling?
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?
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.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Can you fit the tangram pieces into the outline of this plaque design?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or ruling lines.
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Can you fit the tangram pieces into the outline of these rabbits?
Can you fit the tangram pieces into the outline of the telescope and microscope?
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 goat and giraffe?
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?
What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
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?
Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
Can you fit the tangram pieces into the outline of this telephone?
Here are some ideas to try in the classroom for using counters to investigate number patterns.
Can you fit the tangram pieces into the outline of Granma T?
What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of this junk?
Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?
A jigsaw where pieces only go together if the fractions are equivalent.
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?
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 watering can and man in a boat?