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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
If you have only four weights, where could you place them in order to balance this equaliser?
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?
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Can you complete this jigsaw of the multiplication square?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Use the clues to colour each square.
Here is a chance to play a version of the classic Countdown Game.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Choose a symbol to put into the number sentence.
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?
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Use the interactivities to complete these Venn diagrams.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Make one big triangle so the numbers that touch on the small triangles add to 10.
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?
What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?
These interactive dominoes can be dragged around the screen.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
An interactive activity for one to experiment with a tricky tessellation
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Train game for an adult and child. Who will be the first to make the train?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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....?
Work out the fractions to match the cards with the same amount of money.
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Use the interactivity or play this dice game yourself. How could you make it fair?
How many trains can you make which are the same length as Matt's, using rods that are identical?
A train building game for 2 players.
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?
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?