How many different triangles can you make on a circular pegboard that has nine pegs?

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .

What is the greatest number of squares you can make by overlapping three squares?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

Can you find all the different triangles on these peg boards, and find their angles?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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?

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

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?

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

Use Excel to explore multiplication of fractions.

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?

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?

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....?

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

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.

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

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?

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

Use an Excel spreadsheet to explore long multiplication.

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.

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

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?

An Excel spreadsheet with an investigation.

Use Excel to practise adding and subtracting fractions.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Use an interactive Excel spreadsheet to investigate factors and multiples.

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

Use an interactive Excel spreadsheet to explore number in this exciting game!

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

Use Excel to investigate the effect of translations around a number grid.

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

A game in which players take it in turns to choose a number. Can you block your opponent?