Topic 4 Fractions and Proportions

John is making tacos for himself and 17 friends. For every 3 people John uses 5 tomatoes. How many tomatoes will John use in all?

• 30 tomatoes

• 85 tomatoes

The above table shows how far Frank rode his bike this week.

How far did he bike in total on Monday, Wednesday and Friday?

• $6\ \frac{3}{8}$ miles

• $6\ \frac{1}{2}$ miles

• $7\ \frac{1}{8}$ miles

• $7\ \frac{1}{2}$ miles

• 8 miles

Jeff went to a book sale where 6 books cost $13. How many books could Jeff buy at that rate for $32.50?

• 10 books

• 15 books

• 17 books

• 19 books

• 23 books

A college math professor has to grade 160 exams. He gives ½ of the exams to his assistant to grade. The assistant gives ¼ of her exams to a student worker to grade. How many exams does the student worker get to grade?

• 20 exams

• 40 exams

• 60 exams

• 70 exams

• 80 exams

A trainer uses 0.75 of a roll of medical tape on each soccer player. If there are 15 players on the team and 80% get taped up, how many rolls of tape does the trainer need?

• 8 rolls

• 9 rolls

• 10 rolls

• 11 rolls

• 12 rolls

Bret runs 2/3 of a mile.  Tony runs half as far as Bret.  How many miles does Tony run? 

•  $1\ \frac{1}{2}$  

•  $1\frac{1}{3}$  

•  $1\ \frac{1}{6}$  

•  $\frac{1}{3}$  

•  $\frac{1}{6}$  

Alice needs a rope at least 8 feet long. She has four smaller ropes of the above lengths:

Alice can tie the ropes together. However, when she does so she loses a total of ¼ of a foot. Which of the following combinations of rope will NOT give Alice a piece of rope at least 8 feet long?

• I and II

• I and III

• II and III

• I and IV

• I, II, and III

 $\frac{5}{7}\div\frac{15}{3}\times\frac{11}{13}$  

•  $\frac{12}{51}$  

•  $\frac{11}{91}$  

•  $\frac{23}{57}$ 

•  $\frac{5}{71}$  

•  $\frac{17}{73}$  

Which of the following is a complete list of the factors of 40?

•  1, 2, 5, 8, 20, 40

•  10, 20, 40

• 1, 2, 4, 5, 8, 10, 20, 40

•  2, 4, 5, 8, 10, 20

•  1, 2, 4, 5, 8

What is the difference of  the mean and median of the following test scores: 

93, 89, 95, 78, 78, 80, 92, 87, 82

• 0

• 1

• 1.5

• 2

• 87