Find the frequency distribution for ordinary English, and use it to help you crack the code.
Use Excel to explore multiplication of fractions.
Use Excel to investigate the effect of translations around a number grid.
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.
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...
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.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
An animation that helps you understand the game of Nim.
Can you work out which spinners were used to generate the frequency charts?
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?
Which dilutions can you make using only 10ml pipettes?
Can you fill in the mixed up numbers in this dilution calculation?
Use an interactive Excel spreadsheet to explore number in this exciting game!
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use an Excel spreadsheet to explore long multiplication.
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.
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.
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?
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.
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?
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.
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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. . . .
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.
To avoid losing think of another very well known game where the patterns of play are similar.
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. . . .
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 find a strategy that ensures you get to take the last biscuit in this game?
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. . . .
Here is a chance to play a version of the classic Countdown Game.
Can you explain the strategy for winning this game with any target?
How good are you at estimating angles?
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. . . .
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?
A tool for generating random integers.
Here is a chance to play a fractions version of the classic Countdown Game.
How good are you at finding the formula for a number pattern ?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Can you work out what step size to take to ensure you visit all the dots on the circle?
Can you find the pairs that represent the same amount of money?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...