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.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
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 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
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?
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 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
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?
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?
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
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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!
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Choose a symbol to put into the number sentence.
How many different triangles can you make on a circular pegboard
that has nine pegs?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Use the interactivity or play this dice game yourself. How could
you make it fair?
Move just three of the circles so that the triangle faces in the
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Take it in turns to make a triangle on the pegboard. Can you block
Exchange the positions of the two sets of counters in the least possible number of moves
A generic circular pegboard resource.
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.
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 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?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Work out the fractions to match the cards with the same amount of
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
How many right angles can you make using two sticks?