Geometry Module 5 Unit 1 Practice Exam

Transcription

1 Name: Class: Date: 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. 1

2 Name: 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. sleeping b. eating 2

3 Name: 7. Name the minor arc and find its measure. 8. Find the circumference. Leave your answer in terms of The circumference of a circle is 24 cm. Find the diameter, the radius, and the length of an arc of Find the length of XPY. Leave your answer in terms of. 3

4 Name: 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. 13. Find the area of the circle. Leave your answer in terms of

5 Name: 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. 5

6 Name: 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 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. 6

7 Name: 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? 7

8 Name: 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? 8

9 Geometry Module 5 Unit 1 Practice Exam Answer Section SHORT ANSWER 1. ANS: AB, BC, CD, and DA PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 1 Naming Arcs KEY: major arc minor arc semicircle DOK: DOK 1 2. ANS: MNL, NPM, PLN, and LMP PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 1 Naming Arcs KEY: major arc minor arc semicircle DOK: DOK 1 3. ANS: ACB PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 1 Naming Arcs KEY: major arc minor arc semicircle DOK: DOK 1 4. ANS: ADB; 310 PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 2 Finding the Measures of Arcs DOK: DOK 1 5. ANS: 180 KEY: major arc measure of an arc arc PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: major arc measure of an arc arc DOK: DOK 1 1

10 6. ANS: 118.8; 28.8 PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 2 Finding the Measures of Arcs KEY: central angle circle graph multi-part question word problem problem solving DOK: DOK 3 7. ANS: AB; 115 PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the measures of central angles and arcs TOP: 10-6 Problem 2 Finding the Measures of Arcs DOK: DOK 1 8. ANS: 6.2 cm KEY: measure of an arc minor arc arc PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs OBJ: Find the circumference and arc length TOP: 10-6 Problem 3 Finding a Distance KEY: circumference diameter 9. ANS: 20 in. PTS: 1 DIF: L2 REF: 10-6 Circles and Arcs OBJ: Find the circumference and arc length TOP: 10-6 Problem 3 Finding a Distance KEY: circumference radius 10. ANS: 24 cm; 12 cm; 4 cm PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs OBJ: Find the circumference and arc length TOP: 10-6 Problem 4 Finding Arc Length KEY: circumference radius 11. ANS: 12 m PTS: 1 DIF: L3 REF: 10-6 Circles and Arcs OBJ: Find the circumference and arc length TOP: 10-6 Problem 4 Finding Arc Length KEY: arc circumference 2

11 12. ANS: 52.5 m 2 PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 1 Finding the Area of a Circle 13. ANS: m 2 KEY: area of a circle radius PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 1 Finding the Area of a Circle 14. ANS: m 2 KEY: area of a circle radius PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 1 Finding the Area of a Circle 15. ANS: ft 2 KEY: area of a circle radius PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 1 Finding the Area of a Circle 16. ANS: 31.8 cm 2 KEY: area of a circle radius PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: circumference radius diameter area of a circle word problem problem solving DOK: DOK 3 3

12 17. ANS: 60 ft 2 PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors 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 ANS: 77.7 in. 2 PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle 19. ANS: (4 ) in. 2 KEY: sector circle area PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle DOK: DOK ANS: 15.4 cm 2 KEY: measure of an arc area of a circle PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector circle area central angle 21. ANS: in. 2 PTS: 1 DIF: L2 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector circle area central angle 4

13 22. ANS: m 2 PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector circle area central angle 23. ANS: m 2 PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors TOP: 10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector circle area central angle 24. ANS: 7 10 PTS: 1 DIF: L3 REF: 10-8 Geometric Probability TOP: 10-8 Problem 1 Using Segments to Find Probability DOK: DOK ANS: 4 7 PTS: 1 DIF: L4 REF: 10-8 Geometric Probability TOP: 10-8 Problem 1 Using Segments to Find Probability DOK: DOK ANS: PTS: 1 DIF: L3 REF: 10-8 Geometric Probability TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability segment word problem problem solving KEY: geometric probability segment KEY: geometric probability segment 5

14 27. ANS: 5 6 PTS: 1 DIF: L4 REF: 10-8 Geometric Probability TOP: 10-8 Problem 2 Using Segments to Find Probability KEY: geometric probability segment word problem problem solving 28. ANS: 5 8 PTS: 1 DIF: L2 REF: 10-8 Geometric Probability TOP: 10-8 Problem 3 Using Area to Find Probability 29. ANS: 0.32 PTS: 1 DIF: L3 REF: 10-8 Geometric Probability TOP: 10-8 Problem 3 Using Area to Find Probability 30. ANS: 9 70 PTS: 1 DIF: L3 REF: 10-8 Geometric Probability TOP: 10-8 Problem 3 Using Area to Find Probability 31. ANS: 1.55 cm KEY: geometric probability KEY: geometric probability KEY: area triangle probability PTS: 1 DIF: L4 REF: 10-8 Geometric Probability TOP: 10-8 Problem 4 Using Area to Find Probability KEY: geometric probability 6

15 32. ANS: 5 16 PTS: 1 DIF: L3 REF: 10-8 Geometric Probability TOP: 10-8 Problem 4 Using Area to Find Probability KEY: geometric probability 7