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An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
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?
How good are you at finding the formula for a number pattern ?
Match pairs of cards so that they have equivalent ratios.
A metal puzzle which led to some mathematical questions.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
An environment that enables you to investigate tessellations of regular polygons
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.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over... You win if all your cards end up in the trays before you run out of cards in. . . .
Balancing interactivity with springs and weights.
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
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 resource contains interactive problems to support work on number sequences at Key Stage 4.
This resources contains a series of interactivities designed to support work on transformations at Key Stage 4.
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. . . .
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. . . .
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Discover a handy way to describe reorderings and solve our anagram in the process.
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.
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?
Can you beat the computer in the challenging strategy game?
Use Excel to explore multiplication of fractions.
You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.
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 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?
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. . . .
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.
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?
Match the cards of the same value.
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
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. . . .
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
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 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?
Which dilutions can you make using only 10ml pipettes?
Here is a chance to play a fractions version of the classic Countdown Game.
A collection of our favourite pictorial problems, one for each day of Advent.
A tool for generating random integers.
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.
Cellular is an animation that helps you make geometric sequences composed of square cells.
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
Practise your skills of proportional reasoning with this interactive haemocytometer.
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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?
The classic vector racing game brought to a screen near you.