Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Try this interactive strategy game for 2
Use the sightings of the lion to guess the location of its lair.
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
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. . . .
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.
A variant on the game Alquerque
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
How many different rhythms can you make by putting two drums on the wheel?
Exchange the positions of the two sets of counters in the least possible number of moves
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.
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.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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?
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
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 in them?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Can you find all the different triangles on these peg boards, and find their angles?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
A generic circular pegboard resource.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
Move just three of the circles so that the triangle faces in the opposite direction.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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?
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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!
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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....?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Use the clues to colour each square.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
If you have only four weights, where could you place them in order to balance this equaliser?
Here is a chance to play a version of the classic Countdown Game.
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?
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?