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.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
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 make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Use the number weights to find different ways of balancing the equaliser.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you hang weights in the right place to make the equaliser
Can you find all the different ways of lining up these Cuisenaire
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Can you cover the camel with these pieces?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Find out what a "fault-free" rectangle is and try to make some of
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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.
What happens when you try and fit the triomino pieces into these
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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?
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?
Use the clues to colour each square.
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....?
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 interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
An environment which simulates working with Cuisenaire rods.
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!
Choose a symbol to put into the number sentence.
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Can you complete this jigsaw of the multiplication square?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
How many trains can you make which are the same length as Matt's, using rods that are identical?
How many different rhythms can you make by putting two drums on the
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
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?