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.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
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?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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 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.
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?
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.
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 card pairing game involving knowledge of simple ratio.
An interactive activity for one to experiment with a tricky tessellation
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?
These interactive dominoes can be dragged around the screen.
A generic circular pegboard resource.
Can you complete this jigsaw of the multiplication square?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
A train building game for 2 players.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
Can you put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
Can you fit the tangram pieces into the outlines of the chairs?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Try this interactive strategy game for 2
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.
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?
Exchange the positions of the two sets of counters in the least possible number of moves
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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.
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
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.
Use the interactivity or play this dice game yourself. How could
you make it fair?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
If you have only four weights, where could you place them in order
to balance this equaliser?