Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
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?
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....?
Try out the lottery that is played in a far-away land. What is the chance of winning?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
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?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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?
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?
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 find all the different triangles on these peg boards, and find their angles?
How many different triangles can you make on a circular pegboard that has nine pegs?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
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.
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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.
A generic circular pegboard resource.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
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 explain the strategy for winning this game with any target?
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Work out the fractions to match the cards with the same amount of money.
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?
Train game for an adult and child. Who will be the first to make the train?
A simulation of target archery practice
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
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.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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. . . .
Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?