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Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?

Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

Sarah's average speed for a journey was 2 mph, and her return average speed was 4 mph. What is her average speed for the whole journey?

Weekly Problem 34 - 2008
What is the area of the region common to this triangle and square?

Weekly Problem 44 - 2009
A garden has the shape of a right-angled triangle. A fence goes from the corner with the right-angle to a point on the opposite side. How long is the fence?

Weekly Problem 18 - 2016
The year 2010 is one in which the sum of the digits is a factor of the year itself. What is the next year that has the same property?

Helen buys some cakes and some buns for her party. Can you work out how many of each she buys?

Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?