Geometry Module 5 Unit 1 Practice Exam - …bakermath.org/Classes/Geometry/Unit Exams/Module 5/M5 U1...1 Geometry Module 5 Unit 1 Practice Exam Short Answer 1. What are the minor arcs

Name: ________________________ Class: ___________________ Date: __________ ID: A

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Geometry Module 5 Unit 1 Practice Exam

Short Answer

1. What are the minor arcs of O?

2. What are the major arcs of O that contain point M?

3. Identify a semicircle that contains C.

Name: ________________________ ID: A

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4. Name the major arc and find its measure.

5. Find the measure of DEB.The figure is not drawn to scale.

6. Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of each central angle in the circle graph.a. sleepingb. eating

Name: ________________________ ID: A

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7. Name the minor arc and find its measure.

Find the circumference. Leave your answer in terms of .

8.

9.

10. The circumference of a circle is 24 cm. Find the diameter, the radius, and the length of an arc of 60°.

11. Find the length of XPY . Leave your answer in terms of .

Name: ________________________ ID: A

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12. The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth.

Find the area of the circle. Leave your answer in terms of .

13.

14.

Name: ________________________ ID: A

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15. Find the area of the shaded portion of the figure. Dimensions are in feet. Leave your answer in terms of . The figure is not drawn to scale.

16. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 20 cm. To the nearest tenth, what is the area of the wheel?

17. A 4-ft-by-5-ft dock is anchored in the middle of a lake. The bow of a boat is tied to a corner of the dock with a 5-ft rope as shown in the picture. Find the area of the region in which the bow of the boat can travel. Round your answer to the nearest square foot.

Not drawn to scale

18. Find the area of the figure to the nearest tenth.

Name: ________________________ ID: A

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19. Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle. Leave your answer in terms of .

20. Find the area of a sector with a central angle of 100° and a diameter of 8.4 cm. Round to the nearest tenth.

21. The area of sector AOB is 182.25 in.2 . Find the exact area of the shaded region.

22. Find the area of the shaded region. Leave your answer in terms of and in simplest radical form.

Name: ________________________ ID: A

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23. Find the exact area of the shaded region.

24. Find the probability that a point chosen at random from AK is on the segment CJ .

25. Find the probability that a point chosen at random from JQ is on the segment LP .

26. Lenny’s favorite radio station has this hourly schedule: news 19 min, commercials 4 min, music 37 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that he will hear the news?

27. The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between 3:15 PM and 3:35 PM. What is the probability that the doors were unlocked when the delivery van arrived?

28. What is the probability that a point chosen at random on the grid will lie in the unshaded region?

Name: ________________________ ID: A

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29. Find the probability that a point chosen at random will lie in the shaded area.

30. A fly lands at random at a point on the grid. Find the probability of the fly landing on the figure.

31. A circular dartboard has a radius of 2 meters and a red circle in the center. Assume you hit the target at a random point. For what radius of the red center region does P(hitting red) = 0.6?

32. The radius of the bull’s-eye of the dartboard is 8 inches. The radius of each concentric circle is 8 inches more than the radius of the circle inside it. If a dart lands at random on the dartboard, what is the probability that the dart will hit in area C?

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Geometry Module 5 Unit 1 Practice ExamAnswer Section

SHORT ANSWER

1. ANS:

AB, BC , CD, and DA

PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.1 Find the measures of central angles and arcs STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 1 Naming ArcsKEY: major arc | minor arc | semicircle DOK: DOK 1

2. ANS:

MNL, NPM , PLN , and LMP


3. ANS:

ACB


4. ANS:

ADB; 310

PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.1 Find the measures of central angles and arcs STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: major arc | measure of an arc | arcDOK: DOK 1

5. ANS: 180

PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.1 Find the measures of central angles and arcs STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: major arc | measure of an arc | arcDOK: DOK 1

ID: A

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6. ANS: 118.8; 28.8

PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs OBJ: 10-6.1 Find the measures of central angles and arcs STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: central angle | circle graph | multi-part question | word problem | problem solvingDOK: DOK 3

7. ANS:

AB; 115

PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.1 Find the measures of central angles and arcs STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: measure of an arc | minor arc | arcDOK: DOK 1

8. ANS: 6.2 cm

PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a DistanceKEY: circumference | diameter DOK: DOK 2

9. ANS: 20 in.

PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 3 Finding a DistanceKEY: circumference | radius DOK: DOK 2

10. ANS: 24 cm; 12 cm; 4 cm

PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc LengthKEY: circumference | radius DOK: DOK 2

11. ANS: 12 m

PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: 10-6.2 Find the circumference and arc length STA: MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-6 Problem 4 Finding Arc LengthKEY: arc | circumference DOK: DOK 2

ID: A

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12. ANS: 52.5 m2

PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radiusDOK: DOK 2

13. ANS: 28.09 m2


14. ANS: 18.49 m2


15. ANS:

68 16 ft2


16. ANS: 31.8 cm2

PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: circumference | radius | diameter | area of a circle | word problem | problem solvingDOK: DOK 3

ID: A

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17. ANS: 60 ft2

PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area | central angle | word problem | problem solving DOK: DOK 3

18. ANS: 77.7 in.2

PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | areaDOK: DOK 2

19. ANS: (4 ) in.2

PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: measure of an arc | area of a circleDOK: DOK 3

20. ANS: 15.4 cm2

PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area | central angleDOK: DOK 2

21. ANS:

182.25 364.5 in.2

PTS: 1 DIF: L2 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector | circle | area | central angleDOK: DOK 2

ID: A

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22. ANS:

120 36 3

m2


23. ANS:

192 144 3

m2


24. ANS: 7

10

PTS: 1 DIF: L3 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 1 Using Segments to Find Probability KEY: geometric probability | segmentDOK: DOK 1

25. ANS: 47

PTS: 1 DIF: L4 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 1 Using Segments to Find Probability KEY: geometric probability | segmentDOK: DOK 1

26. ANS: 1960

PTS: 1 DIF: L3 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability | segment | word problem | problem solving DOK: DOK 2

ID: A

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27. ANS: 56

PTS: 1 DIF: L4 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability | segment | word problem | problem solving DOK: DOK 2

28. ANS: 5

8

PTS: 1 DIF: L2 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 3 Using Area to Find Probability KEY: geometric probabilityDOK: DOK 2

29. ANS: 0.32


30. ANS: 9

70

PTS: 1 DIF: L3 REF: 10-8 Geometric ProbabilityOBJ: 10-8.1 Use segment and area models to find the probabilities of eventsSTA: MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5 TOP: 10-8 Problem 3 Using Area to Find Probability KEY: area | triangle | probabilityDOK: DOK 2

31. ANS: 1.55 cm


ID: A

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32. ANS: 5

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Geometry Module 5 Unit 1 Practice Exam - …bakermath.org/Classes/Geometry/Unit Exams/Module 5/M5 U1...1 Geometry Module 5 Unit 1 Practice Exam Short Answer 1. What are the minor arcs