Why 24?
Attractive tablecloths
Coordinate patterns
Painted cube
Route to infinity
Reflecting lines
Translating lines
Partly painted cube
Which is bigger?
Factorising with multilink
Steel cables
Surprising transformations
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
Fill me up
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
What's that graph?
Can you work out which processes are represented by the graphs?
How far does it move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
Summing consecutive numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Diamond collector
Collect as many diamonds as you can by drawing three straight lines.
What numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
What's it worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?
Tower of Hanoi
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
CD Heaven
All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
Quadratic patterns
Surprising numerical patterns can be explained using algebra and diagrams...
Back fitter
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?