Problems of the week - August 17 to August 21

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: Put the following in order from smallest to largest: a giant grasshopper that weighs 245 pounds, a giant ladybug that weighs 399 pounds, a giant centipede that weighs 150 pounds, and a giant peach that weighs 8 tons.

Upper Elementary:

Question: Eight friends each eat a pound of peach each day. If they’re eating a giant peach that weighs 8 tons and the pit of the peach weighs half a ton, then how many days will it take for the friends to eat the whole peach?

Middle School:

Question: A centipede, a glowworm, a grasshopper, and a ladybug all have different favorite foods: curry, hot dogs, noodles, and roast beef. Neither the glowworm nor the grasshopper prefers curry. Neither the centipede nor the ladybug prefers noodles. The ladybug had trouble choosing between hot dogs and noodles as a favorite. The grasshopper almost chose roast beef. Match each bug with its favorite food.

Algebra and Up:

Question: It takes 13 hours for a flock of seagulls to carry a giant peach 260 miles in windy conditions. If the seagulls are flying into the wind, which is slowing their progress by 5 miles per hour, then how fast can the seagulls transport the peach in still conditions?

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

6 piles of marbles are arranged in a triangle pattern. Each side of the triangle has a total of 9 marbles. Add 1 more marble to one of the piles, so that the total number of marbles on each side remains 9. You are allowed to move the marbles but not take any out.