### 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?

### An Introduction to Magic Squares

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

### 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

## Dining Ducks

Every healthy duck is greedy and every old duck is greedy.
On a particular farm, some ducks are greedy and some ducks are not.

Which of the following statements about the ducks on that farm must be true?

1. There are both young ducks and old ducks.
2. All the ducks that are not greedy are young.
3. Some of the young ducks are sick.
4. All the sick ducks are young.

This problem is taken from "Sums for Smart Kids" by Laurie Buxton, published by BEAM Education.
To obtain a copy call the BEAM orderline on $020 7684 3330$. (Price: $£17.50$ plus handling and delivery.)

### Why do this problem?

This problem can be used as a good introduction to discussion that involves some logical thinking.

### Possible approach

Good to set this up with everyone in a circle ready for a session based upon talking and listening and reasoning.

### Key questions

Why do you think that?
Could you help others understand what you think?
Do you agree with . . . . ?