1. Which of the following best describes a proportion? It is the similarity of ratios. b. It is the equality of ratios. c. It is the ratio expressed in the form of 1:n d. It is used to compare two or more quantities. a. d. term 3. The two terms closer to the equal sign or the denominator of the first ratio and the numerator of 2. It is the comparison of two quantities of the same kind. c. ratio a. Proportion b. rate the second ratio is called d. property 4. The first term and the fourth term of a proportion is called d. property a. Means b. extremes c. terms Means b. extremes c. terms a.

Mathematics For Machine Technology
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Chapter25: Achievement Review—section Two
Section: Chapter Questions
Problem 14AR: Analyze each of the following problems to determine whether the problem is a direct or inverse...
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1. Which of the following best describes a proportion?
It is the similarity of ratios.
b. It is the equality of ratios.
c. It is the ratio expressed in the form of 1:n
d. It is used to compare two or more quantities.
a.
2. It is the comparison of two quantities of the same kind.
c. ratio
a. Proportion
b. rate
d. term
3. The two terms closer to the equal sign or the denominator of the first ratio and the numerator of
the second ratio is called
a. Means
d. property
c. terms
4. The first term and the fourth term of a proportion is called
c. terms
b. extremes
b extremes
d. property
a. Means
5. The ratio of the sides of the original triangle to the enlarged version is 1:3. The enlarged triangle
is expected to have
a. Sides that are thrice as long as the original
b. An area that is thrice as large as the original
C. Sides that measure one-third of the original length
d. Angles that are thrice the measurement of the original
6. A map is drawn to the scale of 1 cm : 25 m. If the distance between towns A and B measure 8.5
cm on the map, determine the approximate distance between the two towns.
a. 20.5 m
b. 2126.5 m
c. 214.5 m
d. 212.5 m
7. The ratio of the present ages of Hajie and Tay is 5: 3. Four years hence it will be 3: 2. Find the
present age of Hajie.
a. 5 years old
b. 10 years old
_8. If m : n is equal to 3:4, what is m if n = 16?
d. 20 years old
c. 15 years old
а. 8
b. 10
с. 12
d. 14
For numbers 9 and 10, write A if the statement is TRUE and B if the statement is FALSE.
9. If the terms of the ratios of a proportion are inverted, the result is an equivalent proportion.
10. In a proportion, multiplying the means is the same with the product of the extremes.
11. A lamppost casts a shadow that is 45-foot long. A 3-foot tall mailbox casts a shadow that is 15
foot long. How tall is the lamppost
а. 9
c. 11 feet
feet
b. 10
feet
d. 12 feet
12. John wants to find the height of a dinosaur in a museum. He placed a mirror on the ground 20
feet from the base. Then he stepped back 5 feet so that he could see the top of the dinosaur in the mirror.
John's eyes were 5 feet above the ground. What is the height of the dinosaur?
a. 17 feet
b. 18 feet
c. 19 feet
d. 20 feet
13. A pole casts a shadow that is 25 feet long. A 5-feet tall boy standing next to the pole casts a
shadow that is 12 feet long. How tall is the pole?
a. 10.42 feet
c. 12. 42 feet
d. 13. 42 feet
b. 11.42 feet
14. A 10-foot tall statue 'stands in the mall and casts a shadow that is 18 feet long. A child stands
next to it and is 2 feet tall. How long is the dog's shadow?
b. 3.6 feet
c. 4.6 feet
d. 5.6 feet
a. 2.6 feet
15. Rico wans to estimate how wide the lake near the farm is. He drew a diagram and labeled it
with his measurements. How wide is the lake?
15H
3.6
b. 16.14 ft.
C. 17.94 ft.
d. 18.14 ft.
a. 14 ft.
Transcribed Image Text:1. Which of the following best describes a proportion? It is the similarity of ratios. b. It is the equality of ratios. c. It is the ratio expressed in the form of 1:n d. It is used to compare two or more quantities. a. 2. It is the comparison of two quantities of the same kind. c. ratio a. Proportion b. rate d. term 3. The two terms closer to the equal sign or the denominator of the first ratio and the numerator of the second ratio is called a. Means d. property c. terms 4. The first term and the fourth term of a proportion is called c. terms b. extremes b extremes d. property a. Means 5. The ratio of the sides of the original triangle to the enlarged version is 1:3. The enlarged triangle is expected to have a. Sides that are thrice as long as the original b. An area that is thrice as large as the original C. Sides that measure one-third of the original length d. Angles that are thrice the measurement of the original 6. A map is drawn to the scale of 1 cm : 25 m. If the distance between towns A and B measure 8.5 cm on the map, determine the approximate distance between the two towns. a. 20.5 m b. 2126.5 m c. 214.5 m d. 212.5 m 7. The ratio of the present ages of Hajie and Tay is 5: 3. Four years hence it will be 3: 2. Find the present age of Hajie. a. 5 years old b. 10 years old _8. If m : n is equal to 3:4, what is m if n = 16? d. 20 years old c. 15 years old а. 8 b. 10 с. 12 d. 14 For numbers 9 and 10, write A if the statement is TRUE and B if the statement is FALSE. 9. If the terms of the ratios of a proportion are inverted, the result is an equivalent proportion. 10. In a proportion, multiplying the means is the same with the product of the extremes. 11. A lamppost casts a shadow that is 45-foot long. A 3-foot tall mailbox casts a shadow that is 15 foot long. How tall is the lamppost а. 9 c. 11 feet feet b. 10 feet d. 12 feet 12. John wants to find the height of a dinosaur in a museum. He placed a mirror on the ground 20 feet from the base. Then he stepped back 5 feet so that he could see the top of the dinosaur in the mirror. John's eyes were 5 feet above the ground. What is the height of the dinosaur? a. 17 feet b. 18 feet c. 19 feet d. 20 feet 13. A pole casts a shadow that is 25 feet long. A 5-feet tall boy standing next to the pole casts a shadow that is 12 feet long. How tall is the pole? a. 10.42 feet c. 12. 42 feet d. 13. 42 feet b. 11.42 feet 14. A 10-foot tall statue 'stands in the mall and casts a shadow that is 18 feet long. A child stands next to it and is 2 feet tall. How long is the dog's shadow? b. 3.6 feet c. 4.6 feet d. 5.6 feet a. 2.6 feet 15. Rico wans to estimate how wide the lake near the farm is. He drew a diagram and labeled it with his measurements. How wide is the lake? 15H 3.6 b. 16.14 ft. C. 17.94 ft. d. 18.14 ft. a. 14 ft.
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