Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
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?
7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?
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.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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 make a right-angled triangle on this peg-board by joining up three points round the edge?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
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...
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.
An animation that helps you understand the game of Nim.
Can you find triangles on a 9-point circle? Can you work out their angles?
Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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?
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
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
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.
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day of Advent.
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.
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. . . .
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Use Excel to explore multiplication of fractions.
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. . . .
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
How good are you at estimating angles?
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?
Use an interactive Excel spreadsheet to investigate factors and multiples.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Use an Excel spreadsheet to explore long multiplication.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use Excel to investigate the effect of translations around a number grid.
Use an interactive Excel spreadsheet to explore number in this exciting game!