Working systematically

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

Six friends sat around a circular table. Can you work out from the information who sat where and what their profession were?

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.

A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?

A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?

Five equations and five unknowns. Is there an easy way to find the unknown values?

To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?