Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
A card pairing game involving knowledge of simple ratio.
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
An interactive game to be played on your own or with friends.
Imagine you are having a party. Each person takes it in turns to
stand behind the chair where they will get the most chocolate.
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
How many right angles can you make using two sticks?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Match the halves.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
Work out the fractions to match the cards with the same amount of
An odd version of tic tac toe
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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. . . .
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!
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.
Can you put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
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?
Exchange the positions of the two sets of counters in the least possible number of moves
An interactive activity for one to experiment with a tricky tessellation
Move just three of the circles so that the triangle faces in the
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.
A generic circular pegboard resource.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Using angular.js to bind inputs to outputs
A train building game for 2 players.
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?
Use the clues to colour each square.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Choose a symbol to put into the number sentence.
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 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?