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
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
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.
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Can you explain the strategy for winning this game with any target?
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Use Excel to explore multiplication of fractions.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
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.
Here is a chance to play a version of the classic Countdown Game.
An animation that helps you understand the game of Nim.
Work out how to light up the single light. What's the rule?
How good are you at estimating angles?
A game in which players take it in turns to choose a number. Can you block your opponent?
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.
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.
A collection of resources to support work on Factors and Multiples at Secondary level.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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?
Use an interactive Excel spreadsheet to explore number in this
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?
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.
Use Excel to investigate the effect of translations around a number
An Excel spreadsheet with an investigation.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
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?
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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?
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.
Do you know how to find the area of a triangle? You can count the
squares. What happens if we turn the triangle on end? Press the
button and see. Try counting the number of units in the triangle
now. . . .
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?