### Triangle Incircle Iteration

Keep constructing triangles in the incircle of the previous triangle. What happens?

### Vedic Sutra - All from 9 and Last from 10

Vedic Sutra is one of many ancient Indian sutras which involves a cross subtraction method. Can you give a good explanation of WHY it works?

### Tournament Scheduling

Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.

# Unusual Long Division - Square Roots Before Calculators

##### Stage: 4 Challenge Level:

The next digit of the answer is 5.

There are a number of ways of exploring around this area, don't rush.

You might try 'trial and improvement' as one way to work towards a square root of say 30, 50 or any other number.

Try this new method to find square roots for 30, 50, etc., then check with a calculator to see that it's working out correctly. Listen again to the audio as many times as you need. There's a lot of calculation to follow.

When you are ready, think about the harder questions:
• Why multiply by 2 and by 10?

• And why look for an end digit that is also the digit you use to multiply?