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

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Can you work out which spinners were used to generate the frequency charts?

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

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

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

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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. . . .

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A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .

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Use Excel to explore multiplication of fractions.

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

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

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The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"

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

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

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Use an interactive Excel spreadsheet to investigate factors and multiples.

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Use an Excel spreadsheet to explore long multiplication.

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Use Excel to practise adding and subtracting fractions.

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An Excel spreadsheet with an investigation.

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Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.

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in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

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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.

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Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .

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It's easy to work out the areas of most squares that we meet, but what if they were tilted?

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Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

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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

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Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.

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Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.

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Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?

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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?

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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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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.

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This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.

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A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .

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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.

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Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

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Can you work out what step size to take to ensure you visit all the dots on the circle?

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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

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Here is a chance to play a version of the classic Countdown Game.

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In this game you are challenged to gain more columns of lily pads than your opponent.

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

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Can you explain the strategy for winning this game with any target?

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The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

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Here is a chance to play a fractions version of the classic Countdown Game.

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Can you fill in the mixed up numbers in this dilution calculation?

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Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

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Which dilutions can you make using only 10ml pipettes?

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Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

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How good are you at finding the formula for a number pattern ?