GEOMETRY Practice Quiz Page 1. Name Date Period
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1 GEOMETRY Practice Quiz Page 1 Name Date _ Period DIRECTIONS: For #1-6, leave answers in exact terms (using π and/or radicals, if necessary). For #7-10, use approximations for π as directed and show work. Remember to label your answers with correct units of measure when necessary! 1. The radius of a circle is 10. What is the circumference of the circle? 2. The radius of a circle is 14. What is the area of the circle? 3. The circumference of a circle is 22π. What is the radius of the circle? 4. The circumference of a circle is 10π. What is the area of the circle? 5. The area of a circle is 49π. What is the radius of the circle? 6. The area of a circle is 24π. What is the circumference of the circle?
2 GEOMETRY Practice Quiz Page 2 7. The diameter of a Blu-ray disc is 12 cm. What is the interior area of a Blu-ray disc? (use π 3.14 and round to two decimal places)? 8. William is reading an advertisement for a 180-square inch circular rug. What is the diameter of the rug (use π 3.14 and round to two decimal places)? 9. Which is a better buy an 8-inch pizza for $10 or a 14-inch pizza for $16? A. Explain (in words) how you will determine/prove the correct answer: B. Show work (use π 3.14, if necessary): C. Circle exactly one correct answer: 8-inch pizza for $10 OR 14-inch pizza for $ A Ferris wheel has a diameter of 70 ft. How far will a rider travel during a four-minute ride if the wheel rotates once every twenty seconds (use π 22 7)?
3 GEOMETRY Practice Quiz Page 3 DIRECTIONS: Use the following diagram of circle C for # Leave answers in exact terms (using π and/or radicals, if necessary). Show work. 11. What is the area of the shaded region of the diagram? 12. What is the length of XX? DIRECTIONS: Use the following diagram of circle C for # Leave answers in exact terms (using π and/or radicals, if necessary). Show work 13. What is the area of the shaded region of the diagram? 14. What is the length of XXX?
4 GEOMETRY Practice Quiz Page 4 DIRECTIONS: Use the following diagram of circle C for #15. Leave answers in exact terms (use π and/or radicals, if necessary). Show work. Area of shaded region = 15π 15. What is the radius of circle C? DIRECTIONS: Use the following diagram of circle C for #16. Leave answers in exact terms (using π and/or radicals, if necessary). Show work. 16. What is the area of the shaded region of the diagram?
5 GEOMETRY Practice Quiz Page 5 DIRECTIONS: Use the following diagram for # In the diagram, AAA ~ AAA. 17. What is the scale factor of AAA to AAA? 18. What is the ratio of the areas of AAA to AAA? DIRECTIONS: Use the following diagram for # In the figure, WW = XX and XX = YY. Write your probability answers as simplified fractions or exact decimals. 19. If point A is picked at random on, WW what is the probability that A is between W and Y? 20. If point A is picked at random on, WW what is the probability that A is between X and Z? 21. If point A is picked at random on, WW what is the probability that A is between X and Y?
6 GEOMETRY Practice Quiz Page 6 DIRECTIONS: Use the following scenario for # Write your probability answers as simplified fractions or exact decimals. During the afternoon rush period at the 108 th Street train station, every 20 minutes an express train arrives and waits 5 minutes to pick up passengers. Six minutes after the express train leaves, a local train arrives and waits 2 minutes to pick up passengers. 22. If a passanger arrives at the 108 th Street station at a random time during the afternon rush period, what is the probability that the express train will be waiting at the station? 23. If a passanger arrives at the 108 th Street station at a random time during the afternoon rush period, what is the probability that no train will be waiting at the station? 24. If a passanger arrives at the 108 th Street station at a random time during the afternoon rush period and sees a train waiting for passengers, what is the probability that the train is a local train?
7 GEOMETRY Practice Quiz Page 7 DIRECTIONS: Use the following diagram (the shapes are rectangles) for #25. Write your probability answer as a decimal rounded to two places. 25. What is the probability that a dart that randomly hits this diagram will hit within the shaded area? DIRECTIONS: Use the following diagram for #26. Use π Write your probability answer as a decimal rounded to two places. 26. What is the probability that a dart that randomly hits this diagram will hit within the shaded area?
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