Take any parallelogram and draw squares on the sides of the parallelogram. What can you prove about the quadrilateral formed by joining the centres of these squares?
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.
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 Excel to investigate the effect of translations around a number grid.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Use an interactive Excel spreadsheet to investigate factors and multiples.
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?
A group of interactive resources to support work on percentages Key Stage 4.
Use Excel to practise adding and subtracting fractions.
A collection of our favourite pictorial problems, one for each day of Advent.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
Match pairs of cards so that they have equivalent ratios.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use Excel to explore multiplication of fractions.
A tool for generating random integers.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
A mathematically themed crossword.
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.
Play countdown with matrices
Match the cards of the same value.
A metal puzzle which led to some mathematical questions.
Use an Excel spreadsheet to explore long multiplication.
How good are you at finding the formula for a number pattern ?
An Excel spreadsheet with an investigation.
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?
Here is a chance to play a fractions version of the classic Countdown Game.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
To avoid losing think of another very well known game where the patterns of play are similar.
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.
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.
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.
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. . . .
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?
Make and prove a conjecture about the cyclic quadrilateral inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
Can you beat the computer in the challenging strategy game?
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
Balancing interactivity with springs and weights.
Can you locate these values on this interactive logarithmic scale?
Practise your skills of proportional reasoning with this interactive haemocytometer.
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.
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.
With red and blue beads on a circular wire; 'put a red bead between any two of the same colour and a blue between different colours then remove the original beads'. Keep repeating this. What happens?
Can you work through these direct proofs, using our interactive proof sorters?
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. . . .
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?