Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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?
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?
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?
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 beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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. . . .
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. . . .
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.
Match pairs of cards so that they have equivalent ratios.
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"
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
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.
This resource contains interactive problems to support work on number sequences at Key Stage 4.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
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?
Use Excel to explore multiplication of fractions.
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...
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
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.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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. . . .
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?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
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?
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?
An environment that enables you to investigate tessellations of regular polygons
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.
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.
Which dilutions can you make using only 10ml pipettes?
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
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 of Advent.
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.
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.