Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
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?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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?
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!
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.
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.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Choose a symbol to put into the number sentence.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
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?
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
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?
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.
If you have only four weights, where could you place them in order to balance this equaliser?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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 beat the computer in the challenging strategy game?
Can you find all the different triangles on these peg boards, and find their angles?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
How many different triangles can you make on a circular pegboard that has nine pegs?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Work out the fractions to match the cards with the same amount of money.
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
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....?
Can you coach your rowing eight to win?
A generic circular pegboard resource.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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?
Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
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.