### Poly Plug Pattern

##### Stage: 1 Challenge Level:

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

### All Change

##### Stage: 1 Challenge Level:

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

### Spot Thirteen

##### Stage: 2 Challenge Level:

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

### Poly Plug Rectangles

##### Stage: 1 Challenge Level:

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

### See the Light

##### Stage: 2 and 3 Challenge Level:

Work out how to light up the single light. What's the rule?

### Light the Lights

##### Stage: 1 Challenge Level:

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

### Light the Lights Again

##### Stage: 2 Challenge Level:

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

### Overlapping Again

##### Stage: 2 Challenge Level:

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

### Overlaps

##### Stage: 1 Challenge Level:

What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.

### More Carroll Diagrams

##### Stage: 2 Challenge Level:

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?