Practise your skills of proportional reasoning with this interactive haemocytometer.
Which dilutions can you make using only 10ml pipettes?
Can you fill in the mixed up numbers in this dilution calculation?
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?
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
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?
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
An environment that enables you to investigate tessellations of regular polygons
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.
Use Excel to investigate the effect of translations around a number grid.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Match pairs of cards so that they have equivalent ratios.
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Can you find a way to turn a rectangle into a square?
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
A collection of resources to support work on Factors and Multiples at Secondary level.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
A group of interactive resources to support work on percentages Key Stage 4.
Use Excel to explore multiplication of fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!
An Excel spreadsheet with an investigation.
A tool for generating random integers.
Here is a chance to play a fractions version of the classic Countdown Game.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
A java applet that takes you through the steps needed to solve a Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.
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.
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. . . .
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.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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. . . .
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.
To avoid losing think of another very well known game where the patterns of play are similar.
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 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. . . .
Can you explain the strategy for winning this game with any target?
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.
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Here is a chance to play a version of the classic Countdown Game.
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?
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.
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
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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. . . .
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?