### 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?

### Sheep Talk

In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?

# Dining Ducks

##### Stage: 2 Challenge Level:
Denise sent in her solution.

1.There must be young ducks, but there don't have to be any old ducks. This is because if there were only old ducks, then they would all be greedy, and we know that there are some that aren't greedy.

2.This is true. We can't have a duck that is both not greedy and old, and there are ducks that are not greedy, so they must be young.

3. This is also true. If all of the young ducks were healthy, then they'd all be greedy. But all of the old ducks are also greedy, so then there wouldn't be any ducks that aren't greedy. So some of the young ducks are sick.

4. We don't know whether or not this is true. We could have old ducks that are sick.