Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Use the interactivities to complete these Venn diagrams.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
An odd version of tic tac toe
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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!
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?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Complete the squares - but be warned some are trickier than they
Can you find just the right bubbles to hold your number?
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?
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?
Match the halves.
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.
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 activity for one to experiment with a tricky tessellation
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?
Move just three of the circles so that the triangle faces in the
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?
A generic circular pegboard resource.
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 card pairing game involving knowledge of simple ratio.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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.
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Work out the fractions to match the cards with the same amount of
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Using angular.js to bind inputs to outputs
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?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Train game for an adult and child. Who will be the first to make the train?
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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.
Can you fit the tangram pieces into the outlines of the chairs?
Play a dice game of chance