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.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
To avoid losing think of another very well known game where the patterns of play are similar.
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
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 moves.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
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. . . .
Can you discover whether this is a fair game?
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.
Use Excel to investigate the effect of translations around a number grid.
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?
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use Excel to practise adding and subtracting fractions.
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
An animation that helps you understand the game of Nim.
Use an Excel spreadsheet to explore long multiplication.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Here is a chance to play a fractions version of the classic Countdown Game.
Can you explain the strategy for winning this game with any target?
How good are you at estimating angles?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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. . . .
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 the pairs that represent the same amount of money?
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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.
Can you fill in the mixed up numbers in this dilution calculation?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you beat the computer in the challenging strategy game?
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
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.
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
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 hit?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
How good are you at finding the formula for a number pattern ?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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?
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 treasure in the minimum number of guesses?
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?