Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
Investigate how logic gates work in circuits.
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Try this interactive strategy game for 2
Use Excel to explore multiplication of fractions.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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?
Use an interactive Excel spreadsheet to investigate factors and multiples.
Match pairs of cards so that they have equivalent ratios.
Use Excel to investigate the effect of translations around a number grid.
Use an interactive Excel spreadsheet to explore number in this exciting game!
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
An environment that enables you to investigate tessellations of regular polygons
A tool for generating random integers.
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
A collection of our favourite pictorial problems, one for each day of Advent.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Can you be the first to complete a row of three?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
A collection of resources to support work on Factors and Multiples at Secondary level.
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
How good are you at estimating angles?
A game in which players take it in turns to choose a number. Can you block your opponent?
An animation that helps you understand the game of Nim.
Here is a chance to play a fractions version of the classic Countdown Game.
The classic vector racing game brought to a screen near you.
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.
A metal puzzle which led to some mathematical questions.
Match the cards of the same value.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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. . . .
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.
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?
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 put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Use the blue spot to help you move the yellow spot from one star to the other. How are the trails of the blue and yellow spots related?
An interactive activity for one to experiment with a tricky tessellation
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.
Exchange the positions of the two sets of counters in the least possible number of moves
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .