Problems of the Week - May 10 to May 15

Rewards for Problems of the week:

5 points for the correct answer at your level; 10 points for the next level; 20 points each for 2+ levels up.

Lower Elementary:

Question: The Moon is 3,500 kilometers wide. The Earth is 12,700 kilometers wide. How many kilometers wider is the Earth than the Moon?

Upper Elementary:

Question: For every 2 revolutions Pluto makes around the Sun, Neptune makes 3. How many revolutions does Pluto complete if Neptune completes 21?

Middle School:

Question: Callisto, Europa, Ganymede, and Io are moons of Jupiter. Ganymede is not the farthest moon from Jupiter. Callisto’s orbit is not the closest orbit to Io’s. Europa is closer to Jupiter than Ganymede is. Io is the closest to Jupiter. What is Jupiter’s farthest moon?

Algebra and Up:

Question: Mars has a radius of 3,000 kilometers. Venus has a radius of 6,000 kilometers. How many cubic kilometers greater is the volume of Venus than the volume of Mars? Give your answer in terms of pi.

Challenge problem to take home. 20 points for the correct answer. 

Ivan left his house to meet up with a friend between $$3 p.m. and $$4 p.m. When he returned between $$7 p.m. and $$8 p.m., he noticed that the minute and hour hands of his kitchen clock swapped places while he was gone.

Around what time did he get back?