What happens when you try and fit the triomino pieces into these two grids?
Can you cover the camel with these pieces?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
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....?
Use the clues to colour each square.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
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?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Move just three of the circles so that the triangle faces in the opposite direction.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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?
Can you complete this jigsaw of the multiplication square?
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 6 in the circles so that each number is the difference between the two numbers just below it.
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.
Sort the houses in my street into different groups. Can you do it in any other ways?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Try out the lottery that is played in a far-away land. What is the chance of winning?
Here is a chance to play a version of the classic Countdown Game.
Choose a symbol to put into the number sentence.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
If you have only four weights, where could you place them in order to balance this equaliser?
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?
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.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?