There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
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?
Choose a symbol to put into the number sentence.
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?
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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!
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
Can you complete this jigsaw of the 100 square?
Can you cover the camel with these pieces?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Work out the fractions to match the cards with the same amount of
Match the halves.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
An interactive game to be played on your own or with friends.
Imagine you are having a party. Each person takes it in turns to
stand behind the chair where they will get the most chocolate.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
What happens when you try and fit the triomino pieces into these
An interactive activity for one to experiment with a tricky tessellation
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?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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 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?
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?
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?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Can you hang weights in the right place to make the equaliser
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?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
How many right angles can you make using two sticks?
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
A generic circular pegboard resource.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
How many different rhythms can you make by putting two drums on the