Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
One of N coins is slightly heavier than the others. How large can N be if the coin can be determined with only two weighings with a set of scales?
Can you find the areas of the trapezia in this sequence?
In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?
Weekly Problem 41 - 2016
The diagram shows a square, with lines drawn from its centre. What is the shaded area?
Weekly Problem 47 - 2017
How many numbers do I need in a list to have two squares, two primes and two cubes?
What is the largest number of intersection points that a triangle and a quadrilateral can have?
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
