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 shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
Try this interactive strategy game for 2
Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
How many different symmetrical shapes can you make by shading triangles or squares?
In how many ways can you fit all three pieces together to make shapes with line symmetry?
Can you work out what kind of rotation produced this pattern of pegs in our pegboard?
What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you cut up a square in the way shown and make the pieces into a triangle?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of Mai Ling?
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?
Exploring and predicting folding, cutting and punching holes and making spirals.
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?
Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
What is the best way to shunt these carriages so that each train can continue its journey?
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
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 these clocks?
Can you fit the tangram pieces into the outline of this goat and giraffe?
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 different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
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 this sports car?
Can you fit the tangram pieces into the outline of this telephone?
How many different triangles can you make on a circular pegboard that has nine pegs?
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
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 these people?
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
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 playing the board game?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
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?
Can you find ways of joining cubes together so that 28 faces are visible?
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 Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of the telescope and microscope?
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?