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Mathland Election

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.

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One or Both

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?

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Weekly Problem 43 - 2013

Weekly Problem 43 - 2013

Put Out the Flags

Stage: 3 Challenge Level: Challenge Level:1

They must have a whole number of flags!

Tim could have $100$ flags but could he have less than $100$ flags?

$50$% of Tim's flags are blue, what does this tell you about the number of flags Tim must have?
As $35$% of Tim's flags are red, what does this tell you about the number of flags Tim must have?

It might help to be able to write $50$% and $35$% as fractions.