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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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 make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Mr McGregor has a magic potting shed. Overnight, the number of
plants in it doubles. He'd like to put the same number of plants in
each of three gardens, planting one garden each day. Can he do it?
Choose a symbol to put into the number sentence.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
If you have only four weights, where could you place them in order
to balance this equaliser?
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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....?
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
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?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Here is a chance to play a version of the classic Countdown Game.
Can you complete this jigsaw of the multiplication square?
Can you find all the different ways of lining up these Cuisenaire
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
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Exchange the positions of the two sets of counters in the least possible number of moves
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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 locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
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.
A card pairing game involving knowledge of simple ratio.
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Can you fit the tangram pieces into the outline of Granma T?
Work out the fractions to match the cards with the same amount of
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
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?
Can you fit the tangram pieces into the outlines of the chairs?
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!
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. . . .
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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 interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
A generic circular pegboard resource.
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.
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
Can you fit the tangram pieces into the outlines of these people?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?