You may also like

problem icon

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.

problem icon

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?

problem icon

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.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem