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?
If you have only four weights, where could you place them in order to balance this equaliser?
Choose a symbol to put into the number sentence.
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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?
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.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Here is a chance to play a version of the classic Countdown Game.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
A train building game for two players. Can you be the one to complete the train?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
Can you complete this jigsaw of the multiplication square?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Work out the fractions to match the cards with the same amount of money.
A generic circular pegboard resource.
A card pairing game involving knowledge of simple ratio.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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. . . .
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.
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
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.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
A simulation of target archery practice
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?
Train game for an adult and child. Who will be the first to make the train?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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.
An interactive activity for one to experiment with a tricky tessellation
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
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?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?