Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Can you be the first to complete a row of three?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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?
Match pairs of cards so that they have equivalent ratios.
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.
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. . . .
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 beat the computer in the challenging strategy game?
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.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
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 classic vector racing game brought to a screen near you.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
A tool for generating random integers.
Here is a chance to play a fractions version of the classic Countdown Game.
To avoid losing think of another very well known game where the patterns of play are similar.
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?
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 collection of resources to support work on Factors and Multiples at Secondary level.
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
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.
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.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
This resources contains a series of interactivities designed to support work on transformations at Key Stage 4.
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?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Can you discover whether this is a fair game?
A group of interactive resources to support work on percentages Key Stage 4.
This resource contains interactive problems to support work on number sequences at Key Stage 4.
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
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.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
A collection of our favourite pictorial problems, one for each day of Advent.
Use Excel to explore multiplication of fractions.
Practise your skills of proportional reasoning with this interactive haemocytometer.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!
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 Excel to investigate the effect of translations around a number grid.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.