# Randomness - June 2008, All Stages

## Problems

### Sorting Shapes

##### Age 5 to 7 Challenge Level:

This activity challenges you to make collections of shapes. Can you give your collection a name?

### Shut the Box

##### Age 5 to 7 Challenge Level:

An old game but lots of arithmetic!

### Sorting Numbers

##### Age 5 to 7 Challenge Level:

Use the interactivity to sort these numbers into sets. Can you give each set a name?

### Birds in the Garden

##### Age 5 to 11 Challenge Level:

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

### Three Spinners

##### Age 7 to 11 Challenge Level:

These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?

### How Random!

##### Age 7 to 11 Challenge Level:

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

### Misunderstanding Randomness

##### Age 11 to 14 Challenge Level:

Which of these ideas about randomness are actually correct?

### Can't Find a Coin?

##### Age 11 to 14 Challenge Level:

Can you generate a set of random results? Can you fool the random simulator?

### Distribution Differences

##### Age 14 to 16 Challenge Level:

How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?

### Introducing Distributions

##### Age 14 to 16 Challenge Level:

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

### Coin Lines

##### Age 14 to 16 Challenge Level:

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

### Which Spinners?

##### Age 14 to 18 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

### The Monte Carlo Method

##### Age 16 to 18 Challenge Level:

Estimate areas using random grids

### Data Matching

##### Age 16 to 18 Challenge Level:

Use your skill and judgement to match the sets of random data.

### Random Squares

##### Age 16 to 18 Challenge Level:

What is a random pattern?

### Scale Invariance

##### Age 16 to 18 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

### Random Inequalities

##### Age 16 to 18 Challenge Level:

Can you build a distribution with the maximum theoretical spread?