Name___________________ WPS 6
1
1. Which of these numbers 30, 50, 99, 121 has the greatest number of different
prime factors?
2. Bob’s Bicycle Shop assembled some tricycles and go-carts. The total number of
tricycles and go-carts was 30 and Bob used 103 wheels in all. How many go-carts
did Bob make?
3. Kara bought a bag of jelly beans. As she was walking home, she noticed a hole
in the bottom of the bag and that only a handful of jelly beans were left. She could
not remember how many jelly beans she had started with, but she knew that it was
fewer than 100. If she had counted by twos, threes, or fours, one would have been
left over, but none would have been left over if she had counted by fives. How
many jelly beans could Kara have started with?
4. While playing a game with 6-sided dice, Angelica rolls two different numbers
and adds them. How many different sums are possible?
5. Samuel asked his friends to guess his age. He said that if you divide his age by
the only even prime number and add 4, the result is the least common multiple of
three and five. How old is Samuel?
6. Judy promised to increase the amount of time she spends practicing her violin.
She decided to start out with 10 minutes on Monday, and each day she planned to
double the amount of time she practiced the day before. Was her plan reasonable?
At this rate, how many hours will she be practicing on Sunday?
7. Micha can pick 5 quarts of strawberries in 30 minutes. His little sister Shay can
only pick 3 quarts in 30 minutes. If they both start picking together, how long will
it take them to fill in one-gallon bucket with strawberries?