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 make this Islamic star and cross design.
Can you produce a tessellation of regular octagons with two
different types of triangle?
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?
Use the interactivities to complete these Venn diagrams.
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?
Here is a chance to play a version of the classic Countdown Game.
An environment which simulates working with Cuisenaire rods.
Can you complete this jigsaw of the multiplication square?
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
An odd version of tic tac toe
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....?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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!
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Can you find all the different triangles on these peg boards, and
find their angles?
How many different triangles can you make on a circular pegboard that has nine pegs?
A generic circular pegboard resource.
Move just three of the circles so that the triangle faces in the
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
An interactive activity for one to experiment with a tricky tessellation
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 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?
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?
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
Can you find just the right bubbles to hold your number?
Choose a symbol to put into the number sentence.
Work out how to light up the single light. What's the rule?
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?
Use the clues to colour each square.