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 interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
A card pairing game involving knowledge of simple ratio.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A generic circular pegboard resource.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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?
An interactive activity for one to experiment with a tricky tessellation
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 interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
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.
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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 interactivity or play this dice game yourself. How could you make it fair?
A train building game for 2 players.
These interactive dominoes can be dragged around the screen.
Here is a chance to play a version of the classic Countdown Game.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Can you explain the strategy for winning this game with any target?
Train game for an adult and child. Who will be the first to make the train?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
A simulation of target archery practice
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
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?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
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.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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 entering different sets of numbers in the number pyramids. How does the total at the top change?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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?
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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.
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
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.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
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?
Work out the fractions to match the cards with the same amount of money.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
If you have only four weights, where could you place them in order to balance this equaliser?
Find out what a "fault-free" rectangle is and try to make some of your own.