Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Find the vertices of a pentagon given the midpoints of its sides.
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?
To avoid losing think of another very well known game where the patterns of play are similar.
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.
Can you discover whether this is a fair game?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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.
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.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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 collection of resources to support work on Factors and Multiples at Secondary level.
Match pairs of cards so that they have equivalent ratios.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Use Excel to explore multiplication of fractions.
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. . . .
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?
Use an interactive Excel spreadsheet to explore number in this exciting game!
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
Discover a handy way to describe reorderings and solve our anagram in the process.
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
A metal puzzle which led to some mathematical questions.
How good are you at finding the formula for a number pattern ?
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.
Here is a chance to play a fractions version of the classic Countdown Game.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
This resource contains interactive problems to support work on number sequences at Key Stage 4.
A collection of our favourite pictorial problems, one for each day of Advent.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
A tool for generating random integers.
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.
A point P is selected anywhere inside an equilateral triangle. What can you say about the sum of the perpendicular distances from P to the sides of the triangle? Can you prove your conjecture?
Can you beat the computer in the challenging strategy game?
Use an interactive Excel spreadsheet to investigate factors and multiples.
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.
Use an Excel spreadsheet to explore long multiplication.
The classic vector racing game brought to a screen near you.
Use Excel to practise adding and subtracting fractions.
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. . . .
An Excel spreadsheet with an investigation.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.