Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
An odd version of tic tac toe
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Use the interactivities to complete these Venn diagrams.
A card pairing game involving knowledge of simple ratio.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Can you find just the right bubbles to hold your number?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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.
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?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Move just three of the circles so that the triangle faces in the
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?
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?
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!
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
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?
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.
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 generic circular pegboard resource.
A variant on the game Alquerque
Complete the squares - but be warned some are trickier than they
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Twenty four games for the run-up to Christmas.
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
A train building game for 2 players.
Use the sightings of the lion to guess the location of its lair.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
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?
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 game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Choose a symbol to put into the number sentence.
Each light in this interactivity turns on according to a rule. What
happens when you enter different numbers? Can you find the smallest
number that lights up all four lights?