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.
On Monday the Pied Piper caught 1000 rats in a city. On Tuesday he caught 10% fewer rats than on Monday. On Wednesday he caught 20% more than on Tuesday. On Thursday he caught 30% fewer than on Wednesday. On Friday he rested. How many rats did he catch in total that week?
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.