Place equal, regular pentagons together to form a ring. How many pentagons will be needed?
In how many ways can a square be cut in half using a single straight line cut?
The diagram shows three squares drawn on the sides of a triangle. What is the sum of the three marked angles?
The diagram shows a regular pentagon. Can you work out the size of the marked angle?
A quadrilateral can have four right angles. What is the largest number of right angles an octagon can have?
How big is the angle between the hour hand and the minute hand of a clock at twenty to five?
The diagram shows a regular pentagon with two of its diagonals. If all the diagonals are drawn in, into how many areas will the pentagon be divided?
The lengths SP, SQ and SR are equal and the angle SRQ is x degrees. What is the size of angle PQR?
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?
In a triangle the smallest angle is 20 degrees. What is the largest possible angle in the triangle?
What is the angle between the two hands of a clock at 2.30?
In a village the pub, church and school are at different lengths and bearings from each other. What is the bearing of the school from the church?
Two equilateral triangles have been drawn on two adjacent sides of a square. What is the angle between the triangles?
How many diagonals can you draw on this square...
If you know three lengths and an angle in this diagram, can you find another angle by calculation?
Extend two of the sides of a nonagon to form an angle. How large is this acute angle?
Draw an equilateral triangle onto one side of a square. Can you work out one particular angle?
Weekly Problem 1 - 2014
Weekly Problem 11 - 2014
Weekly Problem 19 - 2014
Weekly Problem 51 - 2014
Weekly Problem 40 - 2015
Weekly Problem 46 - 2015