Exchange the positions of the two sets of counters in the least possible number of moves
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?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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 see why 2 by 2 could be 5? Can you predict what 2 by 10
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Find out what a "fault-free" rectangle is and try to make some of
Here is a chance to play a version of the classic Countdown Game.
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.
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?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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.
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.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the chairs?
Work out how to light up the single light. What's the rule?
The aim of the game is to slide the green square from the top right
hand corner to the bottom left hand corner in the least number of
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 activity for one to experiment with a tricky tessellation
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?
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?
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
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
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!
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.
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
How many different rhythms can you make by putting two drums on the
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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 game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?