Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
Play a more cerebral countdown using complex numbers.
Play countdown with vectors.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
Play countdown with matrices
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
How good are you at finding the formula for a number pattern ?
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Practise your skills of proportional reasoning with this interactive haemocytometer.
Use Excel to explore multiplication of fractions.
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . .
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?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
A metal puzzle which led to some mathematical questions.
Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
Can you work through these direct proofs, using our interactive proof sorters?
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.
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?
Can you find a way to turn a rectangle into a square?
To avoid losing think of another very well known game where the patterns of play are similar.
A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?
There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?
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.
Can you beat the computer in the challenging strategy game?
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
Match the cards of the same value.
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. . . .
Balancing interactivity with springs and weights.
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.
Discover a handy way to describe reorderings and solve our anagram in the process.
Can you locate these values on this interactive logarithmic scale?
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
Six circles around a central circle make a flower. Watch the flower as you change the radii in this circle packing. Prove that with the given ratios of the radii the petals touch and fit perfectly.
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.
Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.
Here is a chance to play a fractions version of the classic Countdown Game.
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.
Can you be the first to complete a row of three?
An environment that enables you to investigate tessellations of regular polygons
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
A collection of resources to support work on Factors and Multiples at Secondary level.
A group of interactive resources to support work on percentages Key Stage 4.
Use Excel to investigate the effect of translations around a number grid.
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.