Unit 5: Ratio and Proportionality
END-OF-UNIT ASSESSMENT
Name: _________________
Date: __________ Period: ___
Teacher: ________________
1. On Kim’s farm there are a total of 27 cats and dogs. The ratio of cats to dogs is 5 : 4.
a. How many cats are there?
b. What is the percentage of dogs?
2. Frank wants to make a postcard that is 3 × 5 inches. He has a 12 × 15-inch picture
and a 15 × 25-inch picture.
a. Which picture can he use to make the postcard?
b. What scale factor would he use to shrink the picture?
3. The triangles below are not drawn to scale.
60°
54°
6 cm
b
x
2 cm
A
4 cm
B
a
5 cm
x
C
30°
c
a. Fill in the measures of the missing angles.
b. Identify the two similar triangles.
c. Use their similarity ratio to solve for x.
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End-of-Unit Assessment
4. Find the unknown lengths in this diagram.
"
18
q
26
"
n
p
6"
32"
5. Just before sunset, a 2-meter tall man casts a shadow of 22 meters. At the same time, a tree
casts a shadow of 93.5 meters.
a. How tall is the tree? Give your answer to one decimal place.
b. Sketch and label a diagram for this problem.
6. Three pounds of peanuts cost $4.05.
a. What is the unit price of peanuts?
b. How much do 5 pounds of peanuts cost?
c. How many pounds of peanuts can purchased for $9.45?
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End-of-Unit Assessment
7. An empty water tank is being filled at the rate of 20 liters per minute.
a. Make a table with five realistic pairs of values for the quantities volume (in liters) and
time (in minutes).
b. Demonstrate that there is a proportional relationship between the two quantities.
c. Represent the proportional relationship as a graph using your table of values.
d. Write a formula for the relationship and use it to find the volume of water in the tank
after 11.5 minutes.
e. Is this formula a function? Explain your answer.
f. How long does it take for the tank to contain 1050 liters of water?
Explain how you know.
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