Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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?
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?
Choose a symbol to put into the number sentence.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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 in them?
Can you be the first to complete a row of three?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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?
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?
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?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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?
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
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!
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 1 to 8 into the circles so that the four
calculations are correct?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Match the cards of the same value.
Can you coach your rowing eight to win?
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!
Can you complete this jigsaw of the multiplication square?
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?
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
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?
A card pairing game involving knowledge of simple ratio.
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?
Work out the fractions to match the cards with the same amount of
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?