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.
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?
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
Match pairs of cards so that they have equivalent ratios.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use an interactive Excel spreadsheet to investigate factors and
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Use Excel to explore multiplication of fractions.
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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A group of interactive resources to support work on percentages Key
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use an Excel spreadsheet to explore long multiplication.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Find the vertices of a pentagon given the midpoints of its sides.
A collection of our favourite pictorial problems, one for each day
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.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
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 tool for generating random integers.
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.
Square It game for an adult and child. Can you come up with a way of always winning this game?
An environment that enables you to investigate tessellations of
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
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. . . .
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
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.
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
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.
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Place a red counter in the top left corner of a 4x4 array, which is
covered by 14 other smaller counters, leaving a gap in the bottom
right hand corner (HOME). What is the smallest number of moves. . . .
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.
Can you beat the computer in the challenging strategy game?
Can you find all the 4-ball shuffles?
Match the cards of the same value.
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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.