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

1

REVIEW for Geometry Test Chapters 10 and 11

Find the area. The figure is not drawn to scale.

____ 1.

A. 1188 in.2 B. 69 in.2 C. 138 in.2 D. 1440 in.2

____ 2.

A. 30 yd2 B. 6.5 yd2 C. 13 yd2 D. 15 yd2

____ 3.

A. 144.5 cm2 B. 127 cm2 C. 172 cm2 D. 50 cm2

____ 4. The area of a parallelogram is 280 cm2 and the height is 35 cm. Find the corresponding base.A. 315 cm B. 245 cm C. 9,800 cm2 D. 8 cm

Name: ________________________ ID: A

2

____ 5. What is the height h of the parallelogram?

Not drawn to scaleA. 32 B. 28 C. 40.5 D. 35

Find the area of the trapezoid. Leave your answer in simplest radical form.

____ 6.

Not drawn to scale

A. 607.32 in.2 B. 36.7 in.2 C. 303.66 in.2 D. 77.2 in.2

____ 7.

A. 78 2 ft2 B. 78 ft2 C. 13 ft2 D. 156 ft2

____ 8. The widths of two similar rectangles are 21 ft and 18 ft. What is the ratio of the perimeters? Of the areas?A. 8 : 7 and 64 : 49 C. 7 : 6 and 64 : 49B. 8 : 7 and 49 : 36 D. 7 : 6 and 49 : 36

Name: ________________________ ID: A

3

____ 9. The trapezoids are similar. The area of the smaller trapezoid is 709 m2. Find the area of the larger trapezoid to the nearest whole number.

A. 11 m2 B. 1479 m2 C. 729 m2 D. 1521 m2

____ 10. The triangles are similar. The area of the larger triangle is 563 ft2 . Find the area of the smaller triangle to the nearest whole number.

A. 431 ft2 B. 576 ft2 C. 735 ft2 D. 441 ft2

____ 11. Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1000 earthworms. How many earthworms can he have if his square of compost has a side length that is 8 times longer?A. 8000 B. 64,000 C. 256,000 D. 32,000

____ 12. Name the major arc and find its measure.

A. BDA; 50 B. AB; 50 C. BDA; 310 D. AB; 310

Name: ________________________ ID: A

4

____ 13. Find the measure of CDE.The figure is not drawn to scale.

A. 188 B. 182 C. 162 D. 172

____ 14. Name the minor arc and find its measure.

A. ADB; 30 B. AB; 115 C. ADB; 245 D. AB; 245

Find the circumference. Leave your answer in terms of .

____ 15.

A. 11.4 cm B. 8.55 cm C. 2.85 cm D. 5.7 cm

Name: ________________________ ID: A

5

____ 16. Find the length of YPX . Leave your answer in terms of .

A. 30 m B. 15 m C. 5 m D. 900 m

____ 17. 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.

A. 75.4 m2 B. 52.5 m2 C. 278.7 m2 D. 22.9 m2

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

____ 18.

A. 9.68 m2 B. 4.84 m2 C. 1.1 m2 D. 10.65 m2

Name: ________________________ ID: A

6

____ 19. Find the area of the figure to the nearest tenth.

A. 70.6 in.2 B. 22.5 in.2 C. 141.1 in.2 D. 10.1 in.2

____ 20. What is the probability that a point chosen at random on the grid will lie in the unshaded region?

A.5

8B.

2

5C.

3

8D.

3

5

____ 21. Find the probability that a point chosen at random will lie in the shaded area.

A. 0.83 B. 0.12 C. 0.52 D. 0.32

Name: ________________________ ID: A

7

____ 22. A fly lands at random at a point on the grid. Find the probability of the fly landing on the figure.

A.9

35B.

9

70C.

18

70D.

9

61

Describe the cross section.

____ 23.

A. pentagon B. trapezoid C. hexagon D. cube

____ 24. Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the cross section he created.

A. hexagon B. pentagon C. pyramid D. rectangle

Name: ________________________ ID: A

8

____ 25. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number.

A. 35 cm2 ; 364 cm2 C. 35 cm2 ; 266 cm2

B. 70 cm2 ; 364 cm2 D. 70 cm2 ; 266 cm2

Find the surface area of the cylinder in terms of .

____ 26.

A. 504 cm2 B. 333 cm2 C. 382.5 cm2 D. 211.5 cm2

____ 27. Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round to the nearest square foot.

A. 123 ft2 B. 61 ft2 C. 33 ft2 D. 66 ft2

Name: ________________________ ID: A

9

Find the surface area of the regular pyramid shown to the nearest whole number.

____ 28.

A. 165 ft2 B. 95 ft2 C. 70 ft2 D. 28 ft2

____ 29. Find the surface area of the figure to the nearest whole number.

A. 310 ft2 B. 158 ft2 C. 135 ft2 D. 74 ft2

Name: ________________________ ID: A

10

____ 30. Find the slant height x of the pyramid shown, to the nearest tenth.

A. 6.7 mm B. 7.5 mm C. 3.7 mm D. 10.3 mm

____ 31. Find the surface area of a conical grain storage tank that has a height of 41 meters and a diameter of 16 meters. Round the answer to the nearest square meter.

A. 1251 m2 B. 2301 m2 C. 1050 m2 D. 2904 m2

____ 32. Find the surface area of the cone in terms of .

A. 111 cm2 B. 57 cm2 C. 60 cm2 D. 55.5 cm2

Name: ________________________ ID: A

11

____ 33. Find the slant height of the cone to the nearest whole number.

A. 21 m B. 19 m C. 24 m D. 23 m

____ 34. The lateral area of a cone is 473 cm2 . The radius is 43 cm. Find the slant height to the nearest tenth.A. 15.1 cm B. 11 cm C. 12.9 cm D. 10.7 cm

____ 35. Find the lateral area of the cone to the nearest whole number.

Not drawn to scale

A. 7540 m2 B. 3770 m2 C. 4712 m2 D. 9425 m2

Name: ________________________ ID: A

12

Find the volume of the given prism. Round to the nearest tenth if necessary.

____ 36.

A. 580 ft3 B. 567 ft3 C. 576 ft3 D. 488 ft3

____ 37. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 4 inches for a patio if the concrete costs $41.00 per cubic yard?A. $738.00 B. $4428.00 C. $492.00 D. $164.00

Find the volume of the cylinder in terms of .

____ 38.

A. 60.8 m3 B. 115.52 m3 C. 438.98 m3 D. 57.76 m3

____ 39. Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 2 m and a height of 4 m. Find the ratio of the volume of cylinder A to the volume of cylinder B.A. 5 : 6 B. 1 : 4 C. 1 : 2 D. 1 : 1

Name: ________________________ ID: A

13

____ 40. Find the height of the cylinder.

A. 2.4 in. B. 7.2 in. C. 14.4 D. 4.8 in.

____ 41. Find the volume of the composite space figure to the nearest whole number.

A. 416 mm3 B. 705 mm3 C. 1294 mm3 D. 944 mm3

Name: ________________________ ID: A

14

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

____ 42.

A. 126 cm3 B. 907.5 cm3 C. 605 cm3 D. 55 cm3

____ 43. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height of 7 cm. The pyramid has a height of 13 cm. Find the volume of the composite space figure.

A. 1500 cm3 B. 500 cm3 C. 2275 cm3 D. 850 cm3

Find the volume of the right cone shown as a decimal rounded to the nearest tenth.

____ 44.

A. 8821.6 m3 B. 2205.4 m3 C. 3308.1 m3 D. 980.2 m3

Name: ________________________ ID: A

15

Find the surface area of the sphere with the given dimension. Leave your answer in terms of .

____ 45. diameter of 14 cm

A. 784 cm2 B. 196 cm2 C. 28 cm2 D. 98 cm2

____ 46. A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

A. 121 cm2 B. 380 cm2 C. 39 cm2 D. 154 cm2

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

____ 47.

A. 11,494 cm3 B. 359 cm3 C. 1,437 cm3 D. 205 cm3

____ 48. The volume of a sphere is 5000 m3 . What is the surface area of the sphere to the nearest square meter?

A. 62,832 m2 B. 1517 m2 C. 3033 m2 D. 195 m2

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

____ 49.

A. yes; 15

B. yes; 12

C. yes; 16

D. no

Name: ________________________ ID: A

16

____ 50.

A. yes; 1

2.8B. yes;

11.6

C. yes; 1

1.8D. no

____ 51. Find the similarity ratio of a prism with the surface area of 81 m2 to a similar prism with the surface area of

361 m2 .A. 6859 : 729 B. 9 : 19 C. 19 : 9 D. 729 : 6859

____ 52. If the similarity ratio of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?A. The ratio of their corresponding areas is 27 : 2744.

The ratio of their corresponding volumes is 9 : 196.B. The ratio of their corresponding areas is 9 : 196.

The ratio of their corresponding volumes is 27 : 2744.C. The ratio of their corresponding areas is 6 : 28.

The ratio of their corresponding volumes is 9 : 42.D. The ratio of their corresponding areas is 3 : 196.

The ratio of their corresponding volumes is 3 : 2744.

____ 53. The surface areas of two similar solids are 384 yd2 and 1057 yd2 . The volume of the larger solid is 1795 yd3 . What is the volume of the smaller solid?

A. 1,795 yd3 B. 1,082 yd3 C. 393 yd3 D. 978 yd3

54. How many faces are in the given polyhedron? List them.

ID: A

1

REVIEW for Geometry Test Chapters 10 and 11Answer Section

1. ANS: A REF: 10-1 Areas of Parallelograms and Triangles 2. ANS: D REF: 10-1 Areas of Parallelograms and Triangles 3. ANS: A REF: 10-1 Areas of Parallelograms and Triangles 4. ANS: D REF: 10-1 Areas of Parallelograms and Triangles 5. ANS: A REF: 10-1 Areas of Parallelograms and Triangles 6. ANS: C REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites 7. ANS: B REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites 8. ANS: D REF: 10-4 Perimeters and Areas of Similar Figures 9. ANS: B REF: 10-4 Perimeters and Areas of Similar Figures 10. ANS: A REF: 10-4 Perimeters and Areas of Similar Figures 11. ANS: B REF: 10-4 Perimeters and Areas of Similar Figures 12. ANS: C REF: 10-6 Circles and Arcs 13. ANS: D REF: 10-6 Circles and Arcs 14. ANS: B REF: 10-6 Circles and Arcs 15. ANS: D REF: 10-6 Circles and Arcs 16. ANS: B REF: 10-6 Circles and Arcs 17. ANS: B REF: 10-7 Areas of Circles and Sectors 18. ANS: B REF: 10-7 Areas of Circles and Sectors 19. ANS: A REF: 10-7 Areas of Circles and Sectors 20. ANS: A REF: 10-8 Geometric Probability 21. ANS: D REF: 10-8 Geometric Probability 22. ANS: B REF: 10-8 Geometric Probability 23. ANS: A REF: 11-1 Space Figures and Cross Sections 24. ANS: B REF: 11-1 Space Figures and Cross Sections 25. ANS: D REF: 11-2 Surface Areas of Prisms and Cylinders 26. ANS: D REF: 11-2 Surface Areas of Prisms and Cylinders 27. ANS: C REF: 11-2 Surface Areas of Prisms and Cylinders 28. ANS: B REF: 11-3 Surface Areas of Pyramids and Cones 29. ANS: B REF: 11-3 Surface Areas of Pyramids and Cones 30. ANS: A REF: 11-3 Surface Areas of Pyramids and Cones 31. ANS: A REF: 11-3 Surface Areas of Pyramids and Cones 32. ANS: C REF: 11-3 Surface Areas of Pyramids and Cones 33. ANS: A REF: 11-3 Surface Areas of Pyramids and Cones 34. ANS: B REF: 11-3 Surface Areas of Pyramids and Cones 35. ANS: C REF: 11-3 Surface Areas of Pyramids and Cones 36. ANS: C REF: 11-4 Volumes of Prisms and Cylinders 37. ANS: D REF: 11-4 Volumes of Prisms and Cylinders 38. ANS: B REF: 11-4 Volumes of Prisms and Cylinders 39. ANS: B REF: 11-4 Volumes of Prisms and Cylinders 40. ANS: A REF: 11-4 Volumes of Prisms and Cylinders 41. ANS: D REF: 11-4 Volumes of Prisms and Cylinders 42. ANS: C REF: 11-5 Volumes of Pyramids and Cones 43. ANS: D REF: 11-5 Volumes of Pyramids and Cones

ID: A

2

44. ANS: B REF: 11-5 Volumes of Pyramids and Cones 45. ANS: B REF: 11-6 Surface Areas and Volumes of Spheres 46. ANS: C REF: 11-6 Surface Areas and Volumes of Spheres 47. ANS: C REF: 11-6 Surface Areas and Volumes of Spheres 48. ANS: C REF: 11-6 Surface Areas and Volumes of Spheres 49. ANS: D REF: 11-7 Areas and Volumes of Similar Solids 50. ANS: C REF: 11-7 Areas and Volumes of Similar Solids 51. ANS: B REF: 11-7 Areas and Volumes of Similar Solids 52. ANS: B REF: 11-7 Areas and Volumes of Similar Solids 53. ANS: C REF: 11-7 Areas and Volumes of Similar Solids 54. ANS:

There are 6 faces: quadrilaterals ABCD, ABFE, FGHE, CGHD, DAEH , and BFGC.

REF: 11-1 Space Figures and Cross Sections