Grade 6 Unit 2 Assessment
Rate, Ratio, and Proportional Reasoning
1. Tom has 15 pencils, 5 of them do not have erasers. Which ratio compares the number of pencils without erasers to
the number of pencils with erasers?
A. 5:15
B. 5:10
C. 10:5
D.15:5
2. At each basketball practice, the assistant coach records how many times each player tries a free throw and how
many times the free throw is made.
Which player has the highest percent of free throws made?
A. Tiffany
B. Shelly
C. Sarah
D. Adrienne
3. By law, any jewelry stamped "sterling silver" must be 92.5% pure silver, and 7.5% copper. What is the ratio of
copper to silver in sterling silver in simplest form?
A. 7/9
B. 3/37
C. 4/27
D. 5/18
4. A science student is comparing two objects by measuring how much an equal amount of each object would weigh.
After she weighs each object, she writes down their weights on the table below.
Amount of object 1
and object 2
Weight of
object 1
Weight of object 2
1 cup
2 cups
27
3 cups
46
What ratio shows the relationship between the weight of object 1 and the weight of object 2?
A.
C.
B.
D.
5. A model builder is using a scale drawing to build a chair for a dollhouse. The drawing has a table that shows the
size of the chair parts on the drawing and the actual size of the chair parts.
Chair
Part
Seat
Back
Legs
Arms
Size on
the
Drawing
2.25
3.125
3.5
1.2
Actual
Size
9
12.5
14
4.8
What is the ratio of the size of the parts on the drawing to the size of the actual parts?
A. 2:7
B. 1:5
C. 4:1
D. 1:4
6. What quantity of pizzas shown in the table has the lowest unit price?
A.
6 pizzas
B. 4 pizzas
C.
8 pizzas
D. 2 pizzas
7. A grocery store sign indicates that bananas are 6 for $1.50, and a sign by the oranges indicate that they are 5 for
$3.00. Find the total cost of buying 2 bananas and 2 oranges.
A. $0.85
B. $1.70
C. $2.25
D. $4.50
8. Express the rate of $9.35 for 5 pounds as a unit rate.
A. $1.87
B. $4.35
C. $9.35
D. $0.53
9. Eva reads 45 pages per hour. She reads 0.5 hours every day. At these rates, how many days will it take Eva to read
180 pages?
A. 4 days
B. 16 days
C. 40 days
D. 8 days
10. Dontrell's toy race car travels at 1.5 feet per second. Dontrell ran his race car for 35 minutes last Saturday. There are
60 seconds in one minute. How far did Dontrell's race car travel last Saturday?
A. 1400 feet
B. 90 feet
C. 3,150 feet
D. 52.5 feet
11. Nathan's pet snail crawls at 2.5 feet per hour. Nathan's room is 11 feet long. At this rate, how many hours will it
takes Nathan's pet snail to cross
of Nathan's room?
A. 27.5 hours
B. 4.4 hours
C. 13.74 hours
D. 2.2 hours
12. Nancy is the high scorer on her basketball team. She made 24 free throws out of 32 free throws attempted. What
was her percentage of free throw shots made?
A. 50%
B. 8%
C. 75%
D. 56%
13. If 20% of the students in Ms. Taylor’s class like strawberry ice cream, then how many students are in Ms. Taylor’s
class if 6 people like strawberry ice cream?
A. 18 students
B. 22 students
C. 28 students
D. 30 students
14. A horse pasture is shown in the picture below. Find the perimeter of the pasture in kilometers.
A. 0.84 kilometers
B. 84 kilometer
C. 8.4 kilometers
D. 840 kilometers
15. It takes 4 pints to fill one jug of water. Qasim needs to fill 8 jugs. How much water does he need to fill the jugs in
quarts?
A. 64 quarts
B. 16 quarts
C. 8 quarts
D. 48 quarts
16. Aylin is making a scrapbook using 18 photos and 20 newspaper clippings. She wants all the pages to be set up in the
same way, with the same combination of photos and newspaper clippings on every page. She also wants to make
sure that no items are left over. What is the greatest number of scrapbook pages that Aylin can create?
A. 3
B. 10
C. 10
D. 2
17. Jeremy has two 8-foot long boards. He needs to cut pieces that are 15 inches long from the boards. What is the
greatest number of 15-inch pieces he can cut from the two boards?
A. 15
B. 10
C. 11
D. 12
Refer to the table below for numbers 18 and 19.
3
5
Number of Books
Cost in dollars
6
10
18. How many books can you buy with $30?
A. 15 books
B. 18 books
C. 21 books
D. 30 books
C. $25
D. $30
19. How much would it cost to buy 24 books?
A. $40
B. $45
20. Which proportion would convert 2.6 tons to pounds?
A.
1
2 .6
=
2000
x
B.
2000
x
=
1
2 .6
C. 2000x = 2.6
D.
5200
1
=
1
2000
Constructive Response: In the constructive responses below, demonstrate your understanding of the mathematical
concept(s) by explaining your mathematical computation and thinking. Be sure to use of math terminology, correct
grammar and conventions as well as pictures, diagrams and tables.
I.
Part A: Ben’s Game World is having a sale on video games. The store is offering a sale pack of 4 video games for
$43.80. What is the unit price of a video game in the sale pack?
Part B: Roberto’s Electronics is also having a sale on video games. The unit price of any video game at Roberto’s
Electronics is the same as the unit price of a video game in the sale pack at Ben’s Game World. How much would it
cost a customer for 7 video games at Roberto’s Electronics?