Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
This resources contains a series of interactivities designed to support work on transformations at Key Stage 4.
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
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?
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?
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
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 simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use an Excel spreadsheet to explore long multiplication.
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use Excel to investigate the effect of translations around a number grid.
A group of interactive resources to support work on percentages Key Stage 4.
Rotate a copy of the trapezium about the centre of the longest side of the blue triangle to make a square. Find the area of the square and then derive a formula for the area of the trapezium.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
A collection of our favourite pictorial problems, one for each day of Advent.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Match pairs of cards so that they have equivalent ratios.
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
The classic vector racing game brought to a screen near you.
Here is a chance to play a fractions version of the classic Countdown Game.
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?
Discover a handy way to describe reorderings and solve our anagram in the process.
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 make a right-angled triangle on this peg-board by joining up three points round the edge?
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.
A metal puzzle which led to some mathematical questions.
An environment that enables you to investigate tessellations of regular polygons
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. . . .
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. . . .
To avoid losing think of another very well known game where the patterns of play are similar.
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.
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
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. . . .
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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.
Can you beat the computer in the challenging strategy game?
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?
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.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?