Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Can you work out which spinners were used to generate the frequency charts?
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. . . .
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
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. . . .
Use an Excel spreadsheet to explore long multiplication.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Use Excel to investigate the effect of translations around a number grid.
Use an interactive Excel spreadsheet to explore number in this exciting game!
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use Excel to explore multiplication of fractions.
An animation that helps you understand the game of Nim.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use an interactive Excel spreadsheet to investigate factors and multiples.
To avoid losing think of another very well known game where the patterns of play are similar.
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?
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. . . .
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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.
Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?
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.
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. . . .
Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
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.
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
Can you beat the computer in the challenging strategy game?
Can you find the pairs that represent the same amount of money?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Here is a chance to play a version of the classic Countdown Game.
Here is a chance to play a fractions version of the classic Countdown Game.
How good are you at estimating angles?
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 game in which players take it in turns to choose a number. Can you block your opponent?
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
Can you discover whether this is a fair game?
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?
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
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 treasure in the minimum number of guesses?
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?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?