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Weekly Problem 15 - 2015
In the diagram, two lines have been drawn in a square. What is the ratio of the areas marked?

Which of these two paths made of semicircles is shorter?

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

How much can you read into a T-shirt?

How can you decide if a graph is traversable?

What's the greatest number of sides a polygon on a dotty grid could have?

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

Leah and Tom each have a number line. Can you work out where their counters will land?