Name __________________________________________
Date _____________
Chapter 5 Study Guide
__c.__ 1. At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers
to science teachers in simplest form.
a. 11 to 121
c. 11 to 1
b. 121 to 11
d. 1 to 11
__a.__ 2. You can get 640 calories from eating 8 apples. How many calories can you get from eating 1 apple?
a. 80 calories per apple
c. 82 calories per apple
b. 83 calories per apple
d. 81 calories per apple
__a.__ 3. Determine whether the ratios
are proportional.
a. not proportional
b. proportional
__b.__ 4. Determine whether the ratios
are proportional.
a. proportional
b. not proportional
__c.__ 5. Find a ratio equivalent to
. Then, use the ratios to write a proportion.
a.
c.
b.
d.
___d._ 6. Use cross products to solve the proportion
.
a. r = 528
c. r = 10
b. r = 4.09
d. r = 8.8
__c.__ 7. The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every
6 children who attend. How many juice boxes will they need if they are expecting 12 children?
a. 22 juice boxes
c. 44 juice boxes
b. 264 juice boxes
d. 132 juice boxes
___b._ 8. Tell whether
and
similar. The measures of the corresponding angles are equal.
A
X
20
15
7
C
a. similar
12
B
Z
5
4
b. not similar
Y
__c._
9.
. Find XY.
A
X
17
16.5
8.5
Z
C
?
Y
B
a. s = 8
c. s = 8.25
b. s = 33
d. s = 8.76
__c.__ 10. Juan sees a maple tree and a pine tree in the forest. He knows that the pine tree is 20.68 feet tall. On a
sunny day, the shadow of the pine is 4.2 feet long while the maple’s shadow is 20.02 feet long. Estimate
the height of the maple tree.
a. about 63 feet
c. about 100 feet
b. about 97 feet
d. about 80 feet
__b.__ 11. A model airplane is built to a scale of 1 in.:12 ft. If the model plane is 11 inches long, find the length of
the actual plane. Round your answer to the nearest foot.
a. 1584 feet
c. 13 feet
b. 132 feet
d. 11 feet
__d.__ 12. Identify the scale factor if the length of a model train engine is 36 inches and the length of the engine
itself is 24 feet.
a. 3
c. 288 to 1
3
b.
d. 1
2
8
__a.__ 13. In an investigation, Detective Tracy discovered a photograph that showed his number one suspect at
the scene of the crime. To get a better look, he enlarged the picture by a scale factor of
. If the
original photo measured 4 inches by 6 inches, what were the dimensions of the enlargement?
a. 40 inches by 60 inches
c. 14 inches by 16 inches
b. 20 inches by 60 inches
d. 40 inches by 30 inches
__b.__ 14. Lisa and Susan are driving to college together. They look at a map to find out how far they have to
drive. On the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if
the map scale is 1 in. = 50 mi?
a. 16 2 miles
c. 225 miles
3
b. 175 miles
15. On a scale drawing,
d.
3
50
mile
in. = 1 ft. A room is pictured as 7.5 inches by 6 inches. How many square yards of
carpet are needed for the room?
16. Identify the corresponding sides of the two triangles. Then, use ratios to determine whether the
triangles are similar.
J
P
24
15
8
L
20
K
R
5
6
Q
#16 Answer: Not similar; all three proportions are not equal.
17. Two classmates are preparing research papers and are organizing their information on index cards.
Keiko is using 3 in. by 5 in. cards, and William is using 4 in. by 6 in. cards.
a.
Are the students using index cards that are similar? Show your work.No
b.
A third student, Joel, is writing his information on paper that measures 12 in. by 8
in. Is this similar to either Keiko’s or William’s cards? Show your work. William
18. The two parallelograms are similar. Use proportions and cross products to find the missing dimension.
Show your work.
13
x
6.5
4
#18 Answer: x=8
19. A model rocket is 16 inches high. The original rocket is 40 feet high. What is the scale factor? 1 / 30
20. Mr. Perez will be driving south to a conference. On the map, the distance he must drive is 11 cm. When
he refers to the legend, he sees that 2 cm = 40 km.
a.
How far will Mr. Perez be driving to the conference? Show your work. 220 km
b.
After the conference, if he decides to drive 90 km farther south to visit an old
friend, how many centimeters will he be from home on the map? 15.5 cm
21. Explain how to use cross products to determine whether the ratios 27:36 and 12:16 are equal.
27
36
12
= 16 ; so 432=432
22. Which of the following is not a requirement of two figures to be similar?
a. The lengths of the corresponding sides must be proportional to each other.
b. The corresponding angles must be the same degree.
c. The figures must be the same shape.
d. The figures must have the same size area.
23. Explain how you could use your own height and the lengths of shadows to figure out the height of a tall
building without measuring it.
Will accept different explanations. (Always draw your pictures!)
24. Identify the scale factor if the length of a train model is 36 inches and the length of
the real train is 24 feet. Answer: c
a. 3
b. 288 to 1
1
c.
8
d.
3
2
25. Branson is 5 feet tall and casts a shadow that is 8 feet long. A tree casts a shadow that
is 16 feet long. How tall is the tree? Answer: a
a. 10 feet
b. 40 feet
c. 80 feet
d. 128 feet
26. On a map Thomasville and Woodstock are 7 inches apart. If the scale factor is 1 in= 38 miles,
how far apart are the two cities in miles?
X= 226