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?
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?
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
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. . . .
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.
An animation that helps you understand the game of Nim.
Use the interactivity or play this dice game yourself. How could
you make it fair?
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
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.
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 locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
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?
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...
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
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
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.
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
Explore this interactivity and see if you can work out what it
does. Could you use it to estimate the area of a shape?
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?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Can you fit the tangram pieces into the outlines of these clocks?
A tool for generating random integers.
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of the child walking home from school?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Can you fit the tangram pieces into the outlines of the chairs?
Work out how to light up the single light. What's the rule?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
A collection of our favourite pictorial problems, one for each day
Choose a symbol to put into the number sentence.
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.
Use the interactivity to make this Islamic star and cross design.
Can you produce a tessellation of regular octagons with two
different types of triangle?
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
An interactive game to be played on your own or with friends.
Imagine you are having a party. Each person takes it in turns to
stand behind the chair where they will get the most chocolate.
Can you fit the tangram pieces into the outline of this telephone?
If you have only four weights, where could you place them in order
to balance this equaliser?