What happens when you try and fit the triomino pieces into these two grids?
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
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?
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?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
Can you cover the camel with these pieces?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Use the clues to colour each square.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Try out the lottery that is played in a far-away land. What is the chance of winning?
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.
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?
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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 you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you hang weights in the right place to make the equaliser balance?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Use the interactivity or play this dice game yourself. How could you make it fair?
Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Sort the houses in my street into different groups. Can you do it in any other ways?
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?
A train building game for two players. Can you be the one to complete the train?
Can you match the halves in this interactive game?
Calculate the fractional amounts of money to match pairs of cards with the same value.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Use the interactivities to complete these Venn diagrams.
If you have only four weights, where could you place them in order to balance this equaliser?