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?
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 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?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you hang weights in the right place to make the equaliser
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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 hang two weights on one side of this balance, in how many
different ways can you hang three weights on the other side for it
to be balanced?
Use the number weights to find different ways of balancing the equaliser.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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?
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
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
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!
An environment which simulates working with Cuisenaire rods.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Use the clues to colour each square.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
What happens when you try and fit the triomino pieces into these
This 100 square jigsaw is written in code. It starts with 1 and
ends with 100. Can you build it up?
Can you cover the camel with these pieces?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
If you have only four weights, where could you place them in order
to balance this equaliser?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Can you complete this jigsaw of the multiplication square?
Can you find all the different ways of lining up these Cuisenaire
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
How many different triangles can you make on a circular pegboard
that has nine pegs?
Can you find all the different triangles on these peg boards, and
find their angles?
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Here is a chance to play a version of the classic Countdown Game.
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?
Choose a symbol to put into the number sentence.
Find out what a "fault-free" rectangle is and try to make some of
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.