5 ratio and proportions 2014

AEA 267
2014 6th Grade Math Bee
Ratios & Proportional Relationships
I-5
Name_________________________________
Score
School _______________________________
Student Number___________________
1. A red car and a silver car are each traveling at a constant rate. When the
red car has traveled 20 miles, the silver car has traveled 12 miles. How
far will the red car be when the silver car has traveled 32 miles? (Round
your answer to the nearest whole mile.)
1. ________________
miles
2. A bucket holds 156 ounces of water. It’s catching water from a leaky
1
faucet at a rate of ounce every 5 minutes. How many hours will it take
3
before the bucket needs to be switched or dumped out to keep it from
overflowing?
2. ________________
hours
3. Sam has 7 apples and 8 oranges. He needs 90 pieces of fruit for the school
picnic. If he wants to maintain the ratio of apples to oranges(7:8) , how
many more apples would Sam need to purchase?
3. ________________
apples
4. Two math classes are having pizza parties. The teacher of the blue class
ordered enough so every 3 students will have 2 pizzas. The teacher of the
orange class ordered enough so there will be 3 pizzas for every 5 students.
Which class, blue or orange, had more pizza per student?
4. ________________
class
5. A person who weighs 160 pounds on Earth will weigh 416 pounds on
Jupiter. How much will a person weigh on Jupiter if they weigh 120
pounds on Earth?
5. ________________
pounds
6. Fifty-eight percent of people believe Facebook should be banned in
schools. Of 700 people polled in a town, how many of them believe
Facebook should be banned in school?
6. ________________
people
7. At the midway point of the basketball season, the coach must recommend
the best free-throw shooter for the all-star game. Below are the statistics
for four players. Which player did the coach recommend for the all-star
game?
7. ________________
Novak: 8 of 11 shots
Williams: 15 of 19 shots
Peterson: 22 of 29 shots
Reynolds: 33 of 41 shots
8. Ryan is making a fruit drink. The directions say to mix 5 cups of water
with 2 scoops of powdered drink mix. How many cups of water should he
use with 11 scoops of powdered drink mix?
8. ________________
cups of water
9. Mikayla wants to buy a dress that is on sale for 33% off. The original price
was $114 and the sales tax is 7%. What is the total price the cashier at the
store will ask Mikayla to pay for the dress? (Round your answer to the
nearest cent.)
9. $_______________
10. A water park sells children and adult tickets. It sold 23 adult tickets and a
total of 92 tickets. What percentage of the tickets sold were children’s
tickets?
10. _____________ %