### Floored

A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

### Arclets

Each of the following shapes is made from arcs of a circle of radius r. What is the perimeter of a shape with 3, 4, 5 and n "nodes".

### How Far Does it Move?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

# Weekly Problem 34 - 2006

##### Stage: 3 Challenge Level:

Seventy pupils (37 boys and 33 girls) are divided into two groups, with forty pupils in Group 1 and 30 pupils in Group2. How many more boys are there in Group 1 than there are girls in Group 2?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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