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 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
An interactive activity for one to experiment with a tricky tessellation
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.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
Move just three of the circles so that the triangle faces in the
A generic circular pegboard resource.
Can you complete this jigsaw of the multiplication square?
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
A card pairing game involving knowledge of simple ratio.
An odd version of tic tac toe
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.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Match the halves.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
Using angular.js to bind inputs to outputs
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Train game for an adult and child. Who will be the first to make the train?
Use the clues to colour each square.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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?
Complete the squares - but be warned some are trickier than they
A train building game for 2 players.
Twenty four games for the run-up to Christmas.
If you have only four weights, where could you place them in order
to balance this equaliser?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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. . . .
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
How many trains can you make which are the same length as Matt's, using rods that are identical?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Can you find all the different ways of lining up these Cuisenaire
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.