Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
An odd version of tic tac toe
Use the interactivities to complete these Venn diagrams.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Match the halves.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
Complete the squares - but be warned some are trickier than they
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?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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.
Can you create a story that would describe the movement of the man
shown on these graphs? Use the interactivity to try out our ideas.
A train building game for 2 players.
Can you complete this jigsaw of the multiplication square?
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
A game for two or more players that uses a knowledge of measuring
tools. Spin the spinner and identify which jobs can be done with
the measuring tool shown.
An interactive activity for one to experiment with a tricky tessellation
Can you hang weights in the right place to make the equaliser
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.
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.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Train game for an adult and child. Who will be the first to make the train?
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!
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Move just three of the circles so that the triangle faces in the
Twenty four games for the run-up to Christmas.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
NRICH December 2006 advent calendar - a new tangram for each 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?
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?
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?
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.