Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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?
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?
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.
Prove Pythagoras Theorem using enlargements and scale factors.
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?
A group of interactive resources to support work on percentages Key Stage 4.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Use Excel to investigate the effect of translations around a number grid.
Use an Excel spreadsheet to explore long multiplication.
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!
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 Excel to explore multiplication of fractions.
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?
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?
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.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum. . . .
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
A metal puzzle which led to some mathematical questions.
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day of Advent.
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.
The classic vector racing game brought to a screen near you.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Match the cards of the same value.
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. . . .
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Can you beat the computer in the challenging strategy game?
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. . . .
Discover a handy way to describe reorderings and solve our anagram in the process.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Find the vertices of a pentagon given the midpoints of its sides.
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
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.
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?
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?
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
An environment that enables you to investigate tessellations of regular polygons
To avoid losing think of another very well known game where the patterns of play are similar.
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.
A collection of resources to support work on Factors and Multiples at Secondary level.
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. . . .