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.
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Can you picture where this letter "F" will be on the grid if you
flip it in these different ways?
Try this interactive strategy game for 2
What is the relationship between these first two shapes? Which
shape relates to the third one in the same way? Can you explain
Can you work out what kind of rotation produced this pattern of
pegs in our pegboard?
In how many ways can you fit all three pieces together to make
shapes with line symmetry?
How many different ways can you find of fitting five hexagons
together? How will you know you have found all the ways?
Draw three straight lines to separate these shapes into four groups
- each group must contain one of each shape.
How many different symmetrical shapes can you make by shading triangles or squares?
Billy's class had a robot called Fred who could draw with chalk
held underneath him. What shapes did the pupils make Fred draw?
The triangle ABC is equilateral. The arc AB has centre C, the arc
BC has centre A and the arc CA has centre B. Explain how and why
this shape can roll along between two parallel tracks.
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
A triangle ABC resting on a horizontal line is "rolled" along the
line. Describe the paths of each of the vertices and the
relationships between them and the original triangle.
The diagram shows a very heavy kitchen cabinet. It cannot be lifted but it can be pivoted around a corner. The task is to move it, without sliding, in a series of turns about the corners so that it. . . .
Four rods, two of length a and two of length b, are linked to form
a kite. The linkage is moveable so that the angles change. What is
the maximum area of the kite?
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?
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are
How many DIFFERENT quadrilaterals can be made by joining the dots
on the 8-point circle?
A group activity using visualisation of squares and triangles.
How many different triangles can you make on a circular pegboard
that has nine pegs?
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Can you recreate these designs? What are the basic units? What
movement is required between each unit? Some elegant use of
procedures will help - variables not essential.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Which of the following cubes can be made from these nets?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
This article for teachers describes a project which explores
thepower of storytelling to convey concepts and ideas to children.
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?
An activity centred around observations of dots and how we visualise number arrangement patterns.
A magician took a suit of thirteen cards and held them in his hand
face down. Every card he revealed had the same value as the one he
had just finished spelling. How did this work?
Can you fit the tangram pieces into the outline of the telescope and microscope?
Investigate the number of paths you can take from one vertex to
another in these 3D shapes. Is it possible to take an odd number
and an even number of paths to the same vertex?
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.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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!
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?
Mathematics is the study of patterns. Studying pattern is an
opportunity to observe, hypothesise, experiment, discover and
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 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?
On which of these shapes can you trace a path along all of its
edges, without going over any edge twice?
Can you fit the tangram pieces into the outline of Little Ming?
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?
Can you fit the tangram pieces into the outline of Granma T?
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 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 chairs?