### Why 24?

### CD Heaven

### Attractive Tablecloths

### Coordinate Patterns

### Painted Cube

### Route to infinity

### Reflecting Lines

### Translating Lines

### Tower of Hanoi

### 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?

### 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?

### 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?

### Quadratic Patterns

Surprising numerical patterns can be explained using algebra and diagrams...

### 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?