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?
An environment which simulates working with Cuisenaire rods.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
An odd version of tic tac toe
How many trains can you make which are the same length as Matt's,
using rods that are identical?
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 6 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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
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....?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
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 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
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?
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.
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!
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?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
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?
Here is a chance to play a version of the classic Countdown Game.
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?
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
How many different triangles can you make on a circular pegboard
that has nine pegs?
A generic circular pegboard resource.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Can you find all the different triangles on these peg boards, and
find their angles?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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?
Exchange the positions of the two sets of counters in the least possible number of moves
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th