Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
Can you cut up a square in the way shown and make the pieces into a triangle?
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
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 plaque design?
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 Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outline of these convex shapes?
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outline of this sports car?
Can you fit the tangram pieces into the outline of the rocket?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
These grids are filled according to some rules - can you complete them?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of these rabbits?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outline of this junk?
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?
Can you fit the tangram pieces into the outline of Granma T?
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 brazier for roasting chestnuts?
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?
Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
Why not challenge a friend to play this transformation game?
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outlines of these people?
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 this shape. How would you describe it?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
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 Mai Ling and Chi Wing?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Sort the frieze patterns into seven pairs according to the way in which the motif is repeated.
Experimenting with variables and friezes.
How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to. . . .
Does changing the order of transformations always/sometimes/never produce the same transformation?
Jenny Murray describes the mathematical processes behind making patchwork in this article for students.
This problem is based on the idea of building patterns using transformations.
Explore the effect of reflecting in two intersecting mirror lines.
See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?