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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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Put Out the Flags

Tim and Beth both have a string of flags. Use the percentages to find out who has the most flags.

Percentage Mad

Stage: 3 Short Challenge Level: Challenge Level:1

$20\%$ of $30\%$ of $40\%$ of $£50$ can be written as $0.2 \times 0.3 \times 0.4 \times 50 = 0.06 \times 20 = 1.2$, so the answer is $£1.20$

Alternatively, $40\%$ of $£50$ is $£20$. $30\%$ of $£20$ is $£6$. $20\%$ of $£6$ is $£1.20$.

This problem is taken from the UKMT Mathematical Challenges.