Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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 weekly challenge concerning prime numbers.
Can you beat the computer in the challenging strategy game?
To avoid losing think of another very well known game where the patterns of play are similar.
Cellular is an animation that helps you make geometric sequences composed of square cells.
This is an interactivity in which you have to sort into the correct order the steps in the proof of the formula for the sum of a geometric series.
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?
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?
Find the vertices of a pentagon given the midpoints of its sides.
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 interactive problems to support work on number sequences at Key Stage 4.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Match pairs of cards so that they have equivalent ratios.
A mathematically themed crossword.
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
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"
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 metal puzzle which led to some mathematical questions.
Use Excel to explore multiplication of fractions.
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?
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?
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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. . . .
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.
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.
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. . . .
Can you locate these values on this interactive logarithmic scale?
Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
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.
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 give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with the solutions x and y being integers? Read this article to find out.
An Excel spreadsheet with an investigation.
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.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use an Excel spreadsheet to explore long multiplication.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
Use this interactivity to sort out the steps of the proof of the formula for the sum of an arithmetic series. The 'thermometer' will tell you how you are doing
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. . . .
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
The classic vector racing game brought to a screen near you.
Play countdown with matrices
Play countdown with vectors.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!