Can you explain the strategy for winning this game with any target?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
An animation that helps you understand the game of Nim.
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
Can you discover whether this is a fair game?
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
How good are you at estimating angles?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
A train building game for two players. Can you be the one to complete the train?
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
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 interactivity or play this dice game yourself. How could you make it fair?
A generic circular pegboard resource.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
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?
Work out the fractions to match the cards with the same amount of money.
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.
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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....?
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
If you have only four weights, where could you place them in order to balance this equaliser?
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?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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.
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. . . .
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.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Train game for an adult and child. Who will be the first to make the train?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
A simulation of target archery practice