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?
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Use the number weights to find different ways of balancing the equaliser.
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?
Can you hang weights in the right place to make the equaliser
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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 the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
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 interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Use the clues to colour each square.
Can you find all the different ways of lining up these Cuisenaire
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?
Can you cover the camel with these pieces?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
What happens when you try and fit the triomino pieces into these
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
This 100 square jigsaw is written in code. It starts with 1 and
ends with 100. Can you build it up?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
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....?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
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.
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 four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
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.
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 ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
How many different rhythms can you make by putting two drums on the
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
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!
Can you find all the different triangles on these peg boards, and
find their angles?
How many different triangles can you make on a circular pegboard
that has nine pegs?
Here is a chance to play a version of the classic Countdown Game.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?