Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Use the number weights to find different ways of balancing the equaliser.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Can you hang weights in the right place to make the equaliser
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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?
Can you complete this jigsaw of the multiplication square?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Move just three of the circles so that the triangle faces in the
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?
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!
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?
Can you find all the different triangles on these peg boards, and
find their angles?
A train building game for 2 players.
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
If you have only four weights, where could you place them in order
to balance this equaliser?
Find out what a "fault-free" rectangle is and try to make some of
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
A generic circular pegboard resource.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
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 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.
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....?
Work out the fractions to match the cards with the same amount of
Match the halves.
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?
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?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
How many right angles can you make using two sticks?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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.