Race POAI Test Videos

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Geometry Puzzles

Here are some challenging geometry POW's that you can use:

http://www.contestcen.com/geom.htm

POW #16

Sharing Candy

Tommy has a 1.69 ounce bag of M&M's. The bag contains 56 M&M's. He decides to share his candy by giving Lucy two-thirds of three-fourths of his M&M's. Lucy decides to share her M&M's with Melissa by giving Melissa two-thirds of three-fourths of her M&M's. If half of Melissa's M&M's are red, how many red M&M's does she have?

POW #15

Upright Integers

An integer is defined as upright if the sum of its first two digits equals its third digit. For example, 145 is an upright integer since 1 + 4 = 5. How many positive three-digit integers are upright?

OR

Man Wrinkle

Man Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If man wrinkle spent 12 years as an old man, then how many years did he spend as an active man?

POW #14

How Many?

How many two-digit numbers exist such that when the product of its digits is added to the sum of its digits, the result is equal to the original two-digit number?

OR

Faulty Timepieces

Grandma’s watch gains 30 minutes every hour, while Grandpa’s watch loses 30 minutes every hour. If at midnight both set their watches to the correct time, what time will it be when the watches next agree?

Science Videos