This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
Can you work out which spinners were used to generate the frequency charts?
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?
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
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. . . .
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. . . .
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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.
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.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Match pairs of cards so that they have equivalent ratios.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Which dilutions can you make using only 10ml pipettes?
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?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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 environment that enables you to investigate tessellations of
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 distance. . . .
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?
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 give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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?
Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
Which exact dilution ratios can you make using only 2 dilutions?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Explore displacement/time and velocity/time graphs with this mouse
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
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 Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
A collection of our favourite pictorial problems, one for each day
Which dilutions can you make using 10ml pipettes and 100ml
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.
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
An Excel spreadsheet with an investigation.
Can you break down this conversion process into logical steps?
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number