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 put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Can you complete this jigsaw of the multiplication square?
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?
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?
Use the number weights to find different ways of balancing the equaliser.
Can you hang weights in the right place to make the equaliser
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you complete this jigsaw of the 100 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.
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....?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Can you cover the camel with these pieces?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal 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.
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
A variant on the game Alquerque
How many different rhythms can you make by putting two drums on 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?
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Can you find all the different triangles on these peg boards, and
find their angles?
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
What happens when you try and fit the triomino pieces into these
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Sort the houses in my street into different groups. Can you do it in any other ways?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
These interactive dominoes can be dragged around the screen.