This activity challenges you to make collections of shapes. Can you
give your collection a name?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Work out how to light up the single light. What's the rule?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Sort the houses in my street into different groups. Can you do it in any other ways?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Complete the squares - but be warned some are trickier than they
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
How many trains can you make which are the same length as Matt's, using rods that are identical?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
What shape is the overlap when you slide one of these shapes half
way across another? Can you picture it in your head? Use the
interactivity to check your visualisation.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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.
Use the interactivities to complete these Venn diagrams.
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?
Twenty four games for the run-up to Christmas.
How many different rhythms can you make by putting two drums on the
Can you find all the different ways of lining up these Cuisenaire
Try this interactive strategy game for 2
Find out what a "fault-free" rectangle is and try to make some of
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Can you find all the different triangles on these peg boards, and
find their angles?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Use the clues to colour each square.
What is the greatest number of squares you can make by overlapping
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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 6 in the circles so that each number is the
difference between the two numbers just below it.
Move just three of the circles so that the triangle faces in the
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 make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.