A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
A challenging activity focusing on finding all possible ways of stacking rods.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
In this matching game, you have to decide how long different events take.
Try this matching game which will help you recognise different ways of saying the same time interval.
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
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?
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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.
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
This challenge extends the Plants investigation so now four or more children are involved.
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?
What could the half time scores have been in these Olympic hockey matches?
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Can you use the information to find out which cards I have used?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
A Sudoku with clues given as sums of entries.
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
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....?
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Can you find all the different ways of lining up these Cuisenaire rods?
Can you find all the different triangles on these peg boards, and find their angles?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
Find out what a "fault-free" rectangle is and try to make some of your own.
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?
Try out the lottery that is played in a far-away land. What is the chance of winning?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?