Problems of the Week - March 22 to March 27

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: Susan and her parents are making a disaster survival kit. Each of them needs 2 gallons of water per day. How much water does Susan’s family need in a survival kit to last 5 days?

Upper Elementary:

Question: Women in Gambia often need to transport large containers of water over great distances so that their families have safe water to drink. Siabatou has a container that holds 5 gallons of water. Each gallon weighs 8½ pounds. The container itself weighs 2½ pounds. How much does Siabatou’s container weigh when it’s full?

 Middle School:

Question: A bathroom sink runs at 2.25 gallons per minute. Daisy uses a cup of water total each time she brushes her teeth. Jack leaves the faucet running for the full 3 minutes it takes him to brush and rinse. How much more water does Jack use each day if both of them brush their teeth 3 times a day?

 Algebra and Up:

Question: In Sunnydale, the price of water is $1.50 per thousand gallons. Residents of Rainwood are charged a base fee of $9.90 and an additional $0.25 per thousand gallons of water used. Write an equation to find the amount of water that will cost the same amount in both Sunnydale and Rainwood.

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

$\\$

512 small cubes are arranged into a larger 8 x 8 x 8 cube, and then the outside of the larger cube is painted. Some of the smaller cubes are painted on exactly one face, and some are painted on exactly two faces.

How many more of the small cubes are painted on exactly one face compared to the ones painted on exactly two faces?