An odd version of tic tac toe
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
How many trains can you make which are the same length as Matt's, using rods that are identical?
Complete the squares - but be warned some are trickier than they
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Twenty four games for the run-up to Christmas.
If you have only four weights, where could you place them in order
to balance this equaliser?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
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?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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....?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Match the halves.
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?
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 complete this jigsaw of the multiplication square?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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?
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.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Here is a chance to play a version of the classic Countdown Game.
Move just three of the circles so that the triangle faces in 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!
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
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?
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?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
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?
How many different rhythms can you make by putting two drums on the
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.
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.
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.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
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?