This is an interactivity in which you have to sort the steps in the
completion of the square into the correct order to prove the
formula for the solutions of quadratic equations.
Rotate a copy of the trapezium about the centre of the longest side
of the blue triangle to make a square. Find the area of the square
and then derive a formula for the area of the trapezium.
The aim of the game is to slide the green square from the top right
hand corner to the bottom left hand corner in the least number of
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
How good are you at finding the formula for a number pattern ?
Can you beat the computer in the challenging strategy game?
To avoid losing think of another very well known game where the
patterns of play are similar.
Can you discover whether this is a fair game?
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.
Show that for any triangle it is always possible to construct 3
touching circles with centres at the vertices. Is it possible to
construct touching circles centred at the vertices of any polygon?
Cellular is an animation that helps you make geometric sequences
composed of square cells.
A collection of resources to support work on Factors and Multiples at Secondary level.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Find the vertices of a pentagon given the midpoints of its sides.
Have you seen this way of doing multiplication ?
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?
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.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
A right-angled isosceles triangle is rotated about the centre point
of a square. What can you say about the area of the part of the
square covered by the triangle as it rotates?
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.
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. . . .
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
The classic vector racing game brought to a screen near you.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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?
Prove Pythagoras Theorem using enlargements and scale factors.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Discover a handy way to describe reorderings and solve our anagram
in the process.
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
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being
visible at any one time. Is it possible to reorganise these cubes
so that by dipping the large cube into a pot of paint three times
you. . . .
Use Excel to explore multiplication of fractions.
Square It game for an adult and child. Can you come up with a way of always winning this game?
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
Here is a chance to play a fractions version of the classic
A metal puzzle which led to some mathematical questions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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
Match the cards of the same value.
Investigate how logic gates work in circuits.
A collection of our favourite pictorial problems, one for each day
Balancing interactivity with springs and weights.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
A tool for generating random integers.
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.
Work out how to light up the single light. What's the rule?
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.