Find the frequency distribution for ordinary English, and use it to help you crack the code.
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
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 find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Work out how to light up the single light. What's the rule?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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 article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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 collection of resources to support work on Factors and Multiples at Secondary level.
An animation that helps you understand the game of Nim.
Use Excel to explore multiplication of fractions.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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?
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Here is a chance to play a version of the classic Countdown Game.
You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
Use Excel to investigate the effect of translations around a number
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Use Excel to practise adding and subtracting fractions.
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.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Use an interactive Excel spreadsheet to investigate factors and
An Excel spreadsheet with an investigation.
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...
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
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.
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?
Mr McGregor has a magic potting shed. Overnight, the number of
plants in it doubles. He'd like to put the same number of plants in
each of three gardens, planting one garden each day. Can he do it?
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
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.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A game in which players take it in turns to choose a number. Can you block your opponent?
Use an interactive Excel spreadsheet to explore number in this
Use an Excel spreadsheet to explore long multiplication.
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
Start with any number of counters in any number of piles. 2 players
take it in turns to remove any number of counters from a single
pile. The winner is the player to take the last counter.
Match the cards of the same value.
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Can you find all the 4-ball shuffles?