Can you hang weights in the right place to make the equaliser
Use the number weights to find different ways of balancing the equaliser.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Use the clues to colour each square.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
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?
Can you cover the camel with these pieces?
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?
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?
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?
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?
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!
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?
What happens when you try and fit the triomino pieces into these
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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 put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Choose a symbol to put into the number sentence.
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?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
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?
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....?
How many different rhythms can you make by putting two drums on the
Can you complete this jigsaw of the multiplication square?
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
How many trains can you make which are the same length as Matt's, using rods that are identical?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
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?
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.