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Weekly Problem 1 - 2011
Use facts about the angle bisectors of this triangle to work out another internal angle.

How does the perimeter change when we fold this isosceles triangle in half?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

What is the remainder when 354972 is divided by 7?

A pattern repeats every six symbols. What are the 100th and 101st symbols?

Each digit of a positive integer is 1, 2 or 3, and each of these occurs at least twice. What is the smallest such integer that is not divisible by 2 or 3?

Weighing the baby at the clinic was a problem. Can you work out the total weight of the baby, the nurse and me from the information given?

Weekly Problem 32 - 2014
Three overlapping squares are shown. If you know the areas of the overlapping and non-overlapping parts, can you work out the side lengths of the squares?

There are 10 girls in a mixed class. If two pupils are selected, the probability that they are both girls is 0.15. How many boys are in the class?

Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?