### Jewellery Boxes

Can you find the value of the jewels?

### Average Discovery

Find the missing number if the mean, median and mode are all the same.

### Algebraic Average

The mean of three numbers x, y and z is x. What is the mean of y and z?

# Pay Attention

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

When a speaker gave a talk, 6% of the audience slept through the whole thing.
22% of the audience stayed awake and heard the entire talk.

Of the rest of the audience, half of them heard $\frac{2}{3}$ of the talk, and half of them heard $\frac{1}{3}$ of the talk.

What was the average proportion of the talk that people heard?

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.