Find the frequency distribution for ordinary English, and use it to help you crack the code.
in how many ways can you place the numbers 1, 2, 3 … 9 in the
nine regions of the Olympic Emblem (5 overlapping circles) so that
the amount in each ring is the same?
Find all the ways of placing the numbers 1 to 9 on a W shape, with
3 numbers on each leg, so that each set of 3 numbers has the same
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
An animation that helps you understand the game of Nim.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Work out how to light up the single light. What's the rule?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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?
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.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
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.
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
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?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game in which players take it in turns to choose a number. Can you block your opponent?
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you work out which spinners were used to generate the frequency charts?
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.
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?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Use Excel to explore multiplication of 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.
Can you find all the 4-ball shuffles?
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...
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.
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?
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Have you seen this way of doing multiplication ?
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?
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to investigate factors and
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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?
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
A group of interactive resources to support work on percentages Key
Use an interactive Excel spreadsheet to explore number in this
Here is a chance to play a version of the classic Countdown Game.
A collection of resources to support work on Factors and Multiples at Secondary level.