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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
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....?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
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?
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 and Katie's, using rods that are identical?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Use the clues to colour each square.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
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.
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?
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?
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.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
An interactive activity for one to experiment with a tricky tessellation
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 game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Choose a symbol to put into the number sentence.
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.
Can you match the halves in this interactive game?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Here is a chance to play a version of the classic Countdown Game.
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Calculate the fractional amounts of money to match pairs of cards with the same value.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a 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 card pairing game involving knowledge of simple ratio.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
Practise your number bonds whilst improving your memory in this matching pairs game.
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you complete this jigsaw of the multiplication square?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Practise your tables skills and try to beat your previous best score in this interactive game.