Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
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?
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.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
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. . . .
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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. . . .
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.
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
Match pairs of cards so that they have equivalent ratios.
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.
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
An environment that enables you to investigate tessellations of
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.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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?
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.
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.
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
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...
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum. . . .
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Explore displacement/time and velocity/time graphs with this mouse
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.
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
A collection of our favourite pictorial problems, one for each day
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?
How many different triangles can you make which consist of the
centre point and two of the points on the edge? Can you work out
each of their angles?
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Work out how to light up the single light. What's the rule?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.