Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
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.
Use the blue spot to help you move the yellow spot from one star to
the other. How are the trails of the blue and yellow spots related?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Try this interactive strategy game for 2
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
An interactive activity for one to experiment with a tricky tessellation
Use the interactivity to make this Islamic star and cross design.
Can you produce a tessellation of regular octagons with two
different types of triangle?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
Can you fit the tangram pieces into the outline of the child walking home from school?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
Can you fit the tangram pieces into the outlines of the chairs?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
A generic circular pegboard resource.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
An environment that enables you to investigate tessellations of
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!
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
Can you fit the tangram pieces into the outlines of these clocks?
Exchange the positions of the two sets of counters in the least possible number of moves
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?
A game for two or more players that uses a knowledge of measuring
tools. Spin the spinner and identify which jobs can be done with
the measuring tool shown.
Can you fit the tangram pieces into the outline of this telephone?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
These interactive dominoes can be dragged around the screen.
What is the greatest number of squares you can make by overlapping
Use the interactivities to complete these Venn diagrams.
A train building game for 2 players.
Explore this interactivity and see if you can work out what it
does. Could you use it to estimate the area of a shape?
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Choose a symbol to put into the number sentence.
Train game for an adult and child. Who will be the first to make the train?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?