A political commentator summed up an election result. Given that
there were just four candidates and that the figures quoted were
exact find the number of votes polled for each candidate.
Problem one was solved by 70% of the pupils. Problem 2 was solved
by 60% of them. Every pupil solved at least one of the problems.
Nine pupils solved both problems. How many pupils took the exam?
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
In Miss Quaffley's class, the girls make up more than $45$% of the pupils, but less than $50$%. What is the smallest possible number of girls in her class?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.