Adjacent Factors
Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?
Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?
Helen buys some cakes and some buns for her party. Can you work out how many of each she buys?
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?
Our school dinners offer the same choice each day, and each day I try a new option. How long will it be before I eat the same meal again?
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 37 - 2015
A piece of card is folded to make an open box. Given its surface area, can you work out its volume?
Weekly Problem 34 - 2008
What is the area of the region common to this triangle and square?
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?
Weekly Problem 34 - 2015
Four tiles are given. For which of them can three be placed together to form an equilateral triangle?