2. March 30, 2010

3. COMPOSITE FIGURES GEOMETRIC PROBABILITY 3D PARTS S= V= Anything Goes AREA 200 100 400 300 100 200 300 400 100 200 300 400 100 200 300 400 100 200 400 200 300 400 300 100

4. If the perimeter of the equilateral triangle shown below is 37 centimeters, what is the approximate area of the triangle? A 33 cm 2 B 54 cm 2 C 66 cm 2 D 132 cm 2

5. What is… C 66

6. If the area of the triangle is 83 square feet, which of the following best represents the area of the rectangle? A 166 ft 2 B 239 ft 2 C 322 ft 2 D 405 ft 2 The figure below shows a triangle on top of a rectangle.

7. What is… C 322 ft 2

8. The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter of this trapezoid is 32 units, what is its area? A 44 square units B 55 square units C 88 square units D 110 square units

9. What is… A 44 square units

10. The drama department at McHenry High School has built a stage floor in the shape of a regular octagon. The length of each side of the octagon is 4 yards. What is the approximate area of the stage floor? A 57.6 yd 2 B 76.8 yd 2 C 115.2 yd 2 D 153.6 yd 2

11. What is … B 76.8 yd 2

12. What is the area of Mr. Green’s garden that he will use for planting flowers? A 42 ft 2 B 30 ft 2 C 39 ft 2 D 24 ft 2 The figure below shows the dimensions of a section of Mr. Green’s garden that he will use for planting flowers.

13. What is… C 39 ft 2 ?

14. Linda has divided her garden into 3 parts, as shown below. What is the area of her garden? A 1005 ft 2 B 1230 ft 2 C 1350 ft 2 D 1470 ft 2

15. What is… A 1005 ft 2

16. The horizontal and vertical distances between each of the pegs on the geoboard shown below represent 1 unit. Which is closest to the area of the polygon modeled on the geoboard? A 36 units 2 B 29 units 2 C 46 units 2 D 24 units 2

17. What is… A 36 units 2

18. Which is closest to the area of the storage case not occupied by the CD? A 55 cm 2 B 46 cm 2 C 51 cm 2 D 60 cm 2 The figure below shows a CD in its rectangular storage case.

19. What is… A 55 cm 2

20. The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? A 100 cm B 75 cm C 50 cm D 150 cm

21. What is … A 100 cm

22. In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other? ABCDABCD

23. What is … C

24. Marcos has a spinner with 12 equal sections colored either red or blue. If the spinner lands on blue 33 out of 50 spins, which is most likely the number of blue sections on the spinner? A 4 B 6 C 8 D 10

25. What is … C 8

26. Over a 50-day period, a statistics professor recorded the data shown for the traffic lights he encountered each day while driving to work. A 0.06 B 0.10 C 0.16 D 0.32 What was the experimental probability of the professor encountering 3 or more green lights in a row on his way to work?

27. What is … C 0.16

28. Which of these 3-dimensional figures has the following characteristics: 12 faces, 8 vertices, and 18 edges?

29. What is…

30. How many faces, edges, and vertices does the solid shown below have? A 4 faces, 10 edges, and 7 vertices B 9 faces, 10 edges, and 8 vertices C 10 faces, 16 edges, and 9 vertices D 8 faces, 16 edges, and 9 vertices

31. What is… D 8 faces, 16 edges, and 9 vertices

32. The illustration below shows a 3-dimensional view of a screw. Which of the following best represents a front, a side, or a top view of this screw? AB C D

33. What is… C

35. Which set of figures can be used to construct a representation of the surface area of the solid shown below? ABCDABCD

36. What is… B

37. What is the volume of a similar rectangular box with dimensions that are 3.5 times larger than the dimensions of the rectangular box shown below? A 5,880 in. 3 B 17,836 in. 3 C 20,580 in. 3 D 1,680 in. 3

38. What is… C 20,580 in. 3

39. The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area to the nearest square centimeter? A 37 cm 2 B 113 cm 2 C 1,923 cm 2 D 24,542 cm 2

40. What is… C 1,923 cm 2

41. A cube-shaped piece of playground equipment has a cylindrical portion removed, as shown in the diagram. The diameter of the opening is 5 feet. What is the approximate volume of the remaining portion of the cube? A 255 ft 3 B 122 ft 3 C 98 ft 3 D 28 ft 3

42. What is… C 98 ft 3

43. Mrs. Wong has a bookcase shaped like an isosceles trapezoid. The height of the bookcase is approximately 150 centimeters. The other dimensions are shown below. A 11,000 cm 2 B 22,000 cm 2 C 36,000 cm 2 D 9,000 cm 2 Which of the following is closest to the surface area of the top, left, and right rectangular sides of Mrs. Wong’s bookcase?

44. The diagram below shows the top view of a structure built with identical cubes, as well as the number of cubes in each column of the structure. Which 3-dimensional view best represents the same structure? A B CD

45. What is… A 11,000 cm 2

46. What is… B

47. The polygon RSTU is shown below. Which expression represents the area of this polygon? A 4n 2 B 4n C 2n D n 2

48. What is… D n 2

49. If the dimensions of a rectangle are doubled, which of the following best describes an effect on the rectangle? A The new area will be 2 times as large as the original area. B The new area will be 8 times as large as the original area. C The new perimeter will be 4 times as large as the original perimeter. D The new perimeter will be 2 times as large as the original perimeter.

50. What is … D The new perimeter will be 2 times as large as the original perimeter.

51. A company plans to design a new version of its Millennium Doll that will be larger than the old version. The figure below shows the dimensions of the box for the old version of the doll. A 496 in. 2 B 696 in. 2 C 992 in. 2 D 1920 in. 2 If all the dimensions of the box are increased by 2 inches for the new doll, what will be the total surface area of the new box?

52. What is B 696 in. 2

53. Travis High School Song Rebels True Hail to thee, Oh Travis High Redgray Red and gray our banners fly; Built of spirit that we love Alma mater high above Honor to thy name we bring Songs of praise forever sing; Faithful always unto you, RebelsRebels true We’re Rebels, Rebels true.