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 work out which spinners were used to generate the frequency charts?
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?
Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.
7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?
Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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. . . .
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. . . .
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. . . .
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
Match pairs of cards so that they have equivalent ratios.
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?
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Match the cards of the same value.
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?
A metal puzzle which led to some mathematical questions.
Can you discover whether this is a fair game?
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 set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
This resources contains a series of interactivities designed to support work on transformations 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?
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?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
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.
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
Use Excel to explore multiplication of fractions.
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.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
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. . . .
How good are you at finding the formula for a number pattern ?
An environment that enables you to investigate tessellations of regular polygons
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Discover a handy way to describe reorderings and solve our anagram in the process.
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. . . .
To avoid losing think of another very well known game where the patterns of play are similar.
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?
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!
A collection of our favourite pictorial problems, one for each day of Advent.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
Here is a chance to play a fractions version of the classic Countdown Game.
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
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.
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.