Study Guide III For Semester Final
____ 1. If , then x = ______.
a. b. 7 c. 4 d. 3
____ 2. If , which of the following is NOT true?
a. b. PS = RQ c. d. PR = SQ
____ 3. Mr. Jones has taken a survey of college students and found that 1 out of 5 students are liberal arts majors. If a
college has 12,000 students, what is the best estimate of the number of students who are liberal arts majors?
a. 60,000 b. 300 c. 2400 d. 240
____ 4. Mr. Jones has taken a survey of college students and found that 60 out of 64 students are liberal arts majors. If
a college has 7723 students, what is the best estimate of the number of students who are liberal arts majors?
a. 7240 b. 8238 c. 41 d. 72,403
____ 5. A national forest service wanted to estimate the number of deer in a particular national park. They caught and
tagged 72 deer and released them back into the park. Later they selected a sample of 323 deer. Of the 323
deer, 19 were tagged. Assuming that the proportion of tagged deer in the sample holds for all deer in the
forest, what is the best estimate of the number of deer in the park?
a. 12,226 b. 46,512 c. 1619 d. 1224
____ 6. A worker in an assembly line takes 5 hours to produce 26 parts. At that rate, how many parts can she produce
in 20 hours?
a. 520 parts b. 6 parts c. 104 parts d. 208 parts
____ 7. Assume the exchange rate of Canadian dollars to American dollars is 1 to 0.77. If a stove costs $529.50 in
Canadian dollars, then what would its price be in American dollars?
a. $407.72 b. $452.50 c. $687.66 d. $506.50
____ 8. The geometric mean of 5 and 15 is ______.
a. b. 75 c. 3 d. 10
____ 9. While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people
at the carnival, about how many children are in attendance?
a. about 180 b. about 150 c. about 60 d. about 120
____ 10. Every day, a random sample of 275 computer memory chips produced by a factory is tested to see if the chips
meet their minimum speed ratings for certain operations. If 2 of the chips failed the test on a day when 20,500
chips were made, which is the best estimate of the number of memory chips made that day that are likely to
meet the minimum speed ratings for those operations?
a. 19,330 b. 150 c. 20,350 d. 160
11. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
In a random survey of 125 students, 27 said their favorite color is red and 40 said their favorite color is green.
Based on this sample, predict how many of 1,000 students have a favorite color other than red or green.
, 12. Solve the proportion .
13. A class is attended by 24 boys and 15 girls. Write the ratio of girls to students in the class as a fraction in
lowest terms.
14. A triangle with a perimeter of 63 feet has side lengths in the extended ratio of 6 : 7 : 8. Find the side lengths of
the triangle.
15. If , show that .
16. SHORT RESPONSE Write your answer on a separate piece of paper.
A textbook author prints out copies of her manuscript in black and white for editing. Her printer's ink tank
holds enough ink to print, on average, 520 pages of the text-and-graphics material of the text. The printer
takes 22 minutes to print 85 pages. About how many hours of continuous printing of this type of material are
possible with one tank of ink? Show how you arrived at your answer.
17. Writing: Explain the difference between the mean of two data values and the geometric mean of two positive
numbers.
____ 18. You are at Centerville and only have enough gas to go 150 miles. You want to try to find a gas station. Which
towns will you be able to make it to? Assume the roads are straight lines between cities.
a. Northshore, Eastridge, and Westlake
b. Northshore, Westlake, South Park, and Eastridge
c. Northshore and Eastridge only
d. Northshore only
,____ 19. If , then ______.
a. c.
b. ac = bd d.
____ 20. Given that , find BC to the nearest tenth. The figure is not drawn to scale.
a. 27.1 b. 3.1 c. 24.9 d. 10.9
____ 21. Given that , find AB to the nearest tenth. The figure is not drawn to scale.
a. 16.0 b. 18.2 c. 17.1 d. 14.9
____ 22. A map has a scale of If the actual distance between the two cities is 448 miles, how far
apart are they on the map?
a. 16 inches b. 32 inches c. 8 inches d. 4 inches
____ 23. The Community Recreation Center is developing plans for a new sports facility. Community members can
submit suggestions for the new facility, along with basic scale drawings of their ideas. Rachel wants to
include a new 11- by 24-meter tennis court in the athletic center. She is submitting a scale drawing on an 8.5-
by 11-inch sheet of paper. Which scale should Rachel use to create as large a drawing as possible on the
paper?
a. b. c. d.
____ 24. Find the perimeter of the actual object using the scale factor shown on the blueprint.
, a. 16 m b. 25 m c. 15 m d. 20 m
25. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
A model factory produces models of the H.M.S. Centipede in several different sizes. One model is 25 inches
1
3
long by 8 inches wide, while another model is 51 inches long. How wide is the second model?
26. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
Mrs. Lewis wants to have a new house built. She used graph paper to sketch some thoughts for a possible
floor plan for her house. The bold outline in the figure below represents the outline of the first floor of the
house.
Mrs. Lewis intends to have the dining room floored with wood flooring that comes in squares 1 foot wide. A
12-pack of the squares sells for $38.40 and single squares can be purchased for $3.70 each. What will it cost,
in dollars, to buy just enough squares to cover her dining room floor?
____ 1. If , then x = ______.
a. b. 7 c. 4 d. 3
____ 2. If , which of the following is NOT true?
a. b. PS = RQ c. d. PR = SQ
____ 3. Mr. Jones has taken a survey of college students and found that 1 out of 5 students are liberal arts majors. If a
college has 12,000 students, what is the best estimate of the number of students who are liberal arts majors?
a. 60,000 b. 300 c. 2400 d. 240
____ 4. Mr. Jones has taken a survey of college students and found that 60 out of 64 students are liberal arts majors. If
a college has 7723 students, what is the best estimate of the number of students who are liberal arts majors?
a. 7240 b. 8238 c. 41 d. 72,403
____ 5. A national forest service wanted to estimate the number of deer in a particular national park. They caught and
tagged 72 deer and released them back into the park. Later they selected a sample of 323 deer. Of the 323
deer, 19 were tagged. Assuming that the proportion of tagged deer in the sample holds for all deer in the
forest, what is the best estimate of the number of deer in the park?
a. 12,226 b. 46,512 c. 1619 d. 1224
____ 6. A worker in an assembly line takes 5 hours to produce 26 parts. At that rate, how many parts can she produce
in 20 hours?
a. 520 parts b. 6 parts c. 104 parts d. 208 parts
____ 7. Assume the exchange rate of Canadian dollars to American dollars is 1 to 0.77. If a stove costs $529.50 in
Canadian dollars, then what would its price be in American dollars?
a. $407.72 b. $452.50 c. $687.66 d. $506.50
____ 8. The geometric mean of 5 and 15 is ______.
a. b. 75 c. 3 d. 10
____ 9. While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people
at the carnival, about how many children are in attendance?
a. about 180 b. about 150 c. about 60 d. about 120
____ 10. Every day, a random sample of 275 computer memory chips produced by a factory is tested to see if the chips
meet their minimum speed ratings for certain operations. If 2 of the chips failed the test on a day when 20,500
chips were made, which is the best estimate of the number of memory chips made that day that are likely to
meet the minimum speed ratings for those operations?
a. 19,330 b. 150 c. 20,350 d. 160
11. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
In a random survey of 125 students, 27 said their favorite color is red and 40 said their favorite color is green.
Based on this sample, predict how many of 1,000 students have a favorite color other than red or green.
, 12. Solve the proportion .
13. A class is attended by 24 boys and 15 girls. Write the ratio of girls to students in the class as a fraction in
lowest terms.
14. A triangle with a perimeter of 63 feet has side lengths in the extended ratio of 6 : 7 : 8. Find the side lengths of
the triangle.
15. If , show that .
16. SHORT RESPONSE Write your answer on a separate piece of paper.
A textbook author prints out copies of her manuscript in black and white for editing. Her printer's ink tank
holds enough ink to print, on average, 520 pages of the text-and-graphics material of the text. The printer
takes 22 minutes to print 85 pages. About how many hours of continuous printing of this type of material are
possible with one tank of ink? Show how you arrived at your answer.
17. Writing: Explain the difference between the mean of two data values and the geometric mean of two positive
numbers.
____ 18. You are at Centerville and only have enough gas to go 150 miles. You want to try to find a gas station. Which
towns will you be able to make it to? Assume the roads are straight lines between cities.
a. Northshore, Eastridge, and Westlake
b. Northshore, Westlake, South Park, and Eastridge
c. Northshore and Eastridge only
d. Northshore only
,____ 19. If , then ______.
a. c.
b. ac = bd d.
____ 20. Given that , find BC to the nearest tenth. The figure is not drawn to scale.
a. 27.1 b. 3.1 c. 24.9 d. 10.9
____ 21. Given that , find AB to the nearest tenth. The figure is not drawn to scale.
a. 16.0 b. 18.2 c. 17.1 d. 14.9
____ 22. A map has a scale of If the actual distance between the two cities is 448 miles, how far
apart are they on the map?
a. 16 inches b. 32 inches c. 8 inches d. 4 inches
____ 23. The Community Recreation Center is developing plans for a new sports facility. Community members can
submit suggestions for the new facility, along with basic scale drawings of their ideas. Rachel wants to
include a new 11- by 24-meter tennis court in the athletic center. She is submitting a scale drawing on an 8.5-
by 11-inch sheet of paper. Which scale should Rachel use to create as large a drawing as possible on the
paper?
a. b. c. d.
____ 24. Find the perimeter of the actual object using the scale factor shown on the blueprint.
, a. 16 m b. 25 m c. 15 m d. 20 m
25. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
A model factory produces models of the H.M.S. Centipede in several different sizes. One model is 25 inches
1
3
long by 8 inches wide, while another model is 51 inches long. How wide is the second model?
26. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
Mrs. Lewis wants to have a new house built. She used graph paper to sketch some thoughts for a possible
floor plan for her house. The bold outline in the figure below represents the outline of the first floor of the
house.
Mrs. Lewis intends to have the dining room floored with wood flooring that comes in squares 1 foot wide. A
12-pack of the squares sells for $38.40 and single squares can be purchased for $3.70 each. What will it cost,
in dollars, to buy just enough squares to cover her dining room floor?
