### Path to the Stars

Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?

### Dining Ducks

Use the information about the ducks on a particular farm to find out which of the statements about them must be true.

### An Introduction to Magic Squares

Find out about Magic Squares in this article written for students. Why are they magic?!

# Division Rules

##### Stage: 2 Challenge Level:
Begin by deciding on your divisor. Then create your first dividend and complete the calculation.

Then try another calculation! Remember to record your results. You could use a table like the one below.

Table for recording results for a divisor of 2:

 Calculation Whole number answer Remainder of 1 269 ÷ 2 = 134 r1 269 547 ÷ 2 = 273 r1 547 466 ÷ 2 = 233 466 728 ÷ 2 = 364 728

Look at the dividends which result in a whole number answer.
Can you spot any similarities?
Can this help you to conjecture a rule about which other dividends will have a whole number answer when divided by 2?
Test your rule for other dividends.

Can you spot a rule for the dividends which give a remainder of 1 when divided by 2?