Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Here is a chance to play a version of the classic Countdown Game.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
An odd version of tic tac toe
Can you complete this jigsaw of the multiplication square?
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?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Use the interactivities to complete these Venn diagrams.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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....?
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?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Find out what a "fault-free" rectangle is and try to make some of
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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?
The idea of this game is to add or subtract the two numbers on the
dice and cover the result on the grid, trying to get a line of
three. Are there some numbers that are good to aim for?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Exchange the positions of the two sets of counters in the least possible number of moves
If you have only four weights, where could you place them in order
to balance this equaliser?
How many different rhythms can you make by putting two drums on the
A variant on the game Alquerque
An interactive activity for one to experiment with a tricky tessellation
Twenty four games for the run-up to Christmas.
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.
Use the number weights to find different ways of balancing the equaliser.
A train building game for 2 players.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Use the sightings of the lion to guess the location of its lair.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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!
Move just three of the circles so that the triangle faces in the
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?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
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?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?