Use the number weights to find different ways of balancing the equaliser.
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?
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?
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?
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 make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
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....?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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 complete this jigsaw of the 100 square?
What happens when you try and fit the triomino pieces into these
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you cover the camel with these pieces?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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?
How many different rhythms can you make by putting two drums on the
A variant on the game Alquerque
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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 find all the different ways of lining up these Cuisenaire
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
How many different triangles can you make on a circular pegboard that has nine pegs?
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 find all the different triangles on these peg boards, and
find their angles?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
These interactive dominoes can be dragged around the screen.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
Try out the lottery that is played in a far-away land. What is the
chance of winning?