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.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
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?
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?
To avoid losing think of another very well known game where the patterns of play are similar.
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. . . .
Can you discover whether this is a fair 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?
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.
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.
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.
Can you beat the computer in the challenging strategy game?
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.
A collection of resources to support work on Factors and Multiples at Secondary level.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Match pairs of cards so that they have equivalent ratios.
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?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
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. . . .
Use Excel to explore multiplication of fractions.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Discover a handy way to describe reorderings and solve our anagram in the process.
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
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 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.
How good are you at finding the formula for a number pattern ?
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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.
Here is a chance to play a fractions version of the classic Countdown Game.
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?
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.
A tool for generating random integers.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
The classic vector racing game brought to a screen near you.
A metal puzzle which led to some mathematical questions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Match the cards of the same value.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use an Excel spreadsheet to explore long multiplication.
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. . . .
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.