Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Work out the fractions to match the cards with the same amount of
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?
Match the halves.
Move just three of the circles so that the triangle faces in the
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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. . . .
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.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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?
An interactive activity for one to experiment with a tricky tessellation
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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.
Complete the squares - but be warned some are trickier than they
Can you find just the right bubbles to hold your number?
Using angular.js to bind inputs to outputs
An odd version of tic tac toe
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?
A generic circular pegboard resource.
Train game for an adult and child. Who will be the first to make the train?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
A train building game for 2 players.
A card pairing game involving knowledge of simple ratio.
Twenty four games for the run-up to Christmas.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Play a dice game of chance
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 times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Exchange the positions of the two sets of counters in the least possible number of moves
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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 for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Use the interactivity or play this dice game yourself. How could
you make it fair?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
What is the greatest number of squares you can make by overlapping