# Problems of the Week

Dec 30, 2019 | High Park

Start the New Year by solving one of these puzzles!

Lower Elementary:
Question: James has a New Year’s resolution to be able to run a mile without stopping. If he can run one quarter of a mile without stopping by the end of January and he adds another quarter of a mile every month, then by the end of which month will James be able to run the full mile without stopping?

Upper Elementary:
Question: Barb’s New Year’s resolution is to build her vocabulary. She plans to learn 3 new words in January, 6 new words in February, 12 new words in March, 24 new words in April, and so on. If the pattern continues, then how many new words are on Barb’s 2018 vocabulary list in total?

Middle School:
Question: Daniel’s New Year’s resolution is to visit the library more often. He will consider his resolution successful if he goes to the library on 40% of the days in 2018. How many days need to include library visits for Daniel’s resolution to be successful?

Algebra and Up:
Question: Sally has a New Year’s resolution to practice playing her violin for more than three hours per week. She won’t practice for more than one hour per day. Write a compound inequality that represents the amount of time Sally will practice playing the violin per week.

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Lower Elementary

Solution: There are 4 quarters in a whole, so it’ll take 4 months—January, February, March, and April—for James to be able to run a whole mile without stopping. James will be able to run the full mile by the end of April.

Upper Elementary