Counting

Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.

Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

There are two forms of counting on Vuvv - Zios count in base 3 and Zepts count in base 7. One day four of these creatures, two Zios and two Zepts, sat on the summit of a hill to count the legs of the creatures they could see. The creature looking to the West wrote 122. The creature looking to the East wrote 22. The creature looking to the South wrote 101. The creature looking to the North wrote 41. In which direction are the 2 Zios looking and in which directions are the 2 Zepts looking?

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?

How many different ways can you arrange the officers in a square?

The interval 0 - 1 is marked into halves, quarters, eighths ... etc. Vertical lines are drawn at these points, heights depending on positions. What happens as this process goes on indefinitely?