How good are you at estimating angles?
Use Excel to investigate the effect of translations around a number grid.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Match pairs of cards so that they have equivalent ratios.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use an Excel spreadsheet to explore long multiplication.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
An environment that enables you to investigate tessellations of regular polygons
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
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.
Here is a chance to play a fractions version of the classic Countdown Game.
A collection of our favourite pictorial problems, one for each day of Advent.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
A metal puzzle which led to some mathematical questions.
Match the cards of the same value.
An Excel spreadsheet with an investigation.
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?
Use Excel to explore multiplication of fractions.
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 an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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. . . .
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.
A tool for generating random integers.
The classic vector racing game brought to a screen near you.
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?
Can you be the first to complete a row of three?
Can you discover whether this is a fair game?
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.
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?
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
Can you find all the 4-ball shuffles?
Cellular is an animation that helps you make geometric sequences composed of square cells.
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?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
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
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?
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.