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Weekly Problem 52 - 2017
Sue cuts some squares from a piece of paper to make a Christmas decoration. What is the perimeter of the resulting shape?

Can you find out what numbers divide these expressions? Can you prove that they are always divisors?

What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?

Do you have enough information to work out the area of the shaded quadrilateral?

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

Where should runners start the 200m race so that they have all run the same distance by the finish?

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?