# Powers and Roots

### Rationals Between...live

##### Stage: 4 Challenge Level:

What fractions can you find between the square roots of 65 and 67?

### Sissa's Reward

##### Stage: 3 Challenge Level:

Sissa cleverly asked the King for a reward that sounded quite modest but turned out to be rather large...

##### Stage: 3 and 4 Challenge Level:

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

### Power Countdown

##### Stage: 4 Challenge Level:

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

### Generating Triples

##### Stage: 4 Challenge Level:

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

### Powers and Roots - Short Problems

##### Stage: 3 and 4

A collection of short Stage 3 and 4 problems on powers and roots.

### Power of 3

##### Stage: 4 Short Challenge Level:

What power of 27 is needed to get the correct power of 3?

### Megabytes and Kilobytes

##### Stage: 3 Short Challenge Level:

How many bytes are there in one megabyte?