Geometry Final Exam practice test

Which equation represents a circle with a radius of 8 centered at (2, -3)?

• (x + 2)² + (y – 3)² = 64

• (x + 2)² + (y – 3)² = 4

• (x – 2)² + (y + 3)² = 64

• (x – 2)² + (y + 3)² = 8

Tags

CCSS.HSG.GPE.A.1

• 12

• 36

• 52

• 6

Tags

CCSS.HSG.C.B.5

EG and EC are secants to circle W. If EG = 27 cm, what is DC?

• 6 cm

• 8 cm

• 12.6 cm

• 18 cm

Tags

CCSS.HSG.C.A.2

• 6

• 12

• 36

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A spherical ornament is placed into a cubic box for shipping so that its surface touches each of the faces of the box, as shown in the diagram below. The remaining volume that is not taken up by the spherical ornament is to be filled with a special packing material. If the radius of the spherical ornament is 15 centimeters, about how much space is left in the box to be filled with packing material?  Round to the nearest tenth.

Mathematical Equivalence

ON

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A 6-cm miniature monument is comprised of a rectangular prism and rectangular pyramid, as shown. If the exposed surfaces of miniature monument are to be covered with one-inch square tiles, approximately how many tiles will be needed? Hint: 1 cm  .39 inches.

• 130

• 239

• 51

• 20

1.    A blueprint for a new outdoor auditorium is shown below. The shape of the stage area is a sector of a circle with a central of 90°. The shape of the seating area is comprised of two squares and one isosceles right triangle. What is the approximate area covered by the proposed outdoor auditorium n square feet?

• 1428

• 1828

• 2228

• 2628

Find an expression in terms of x that represents the area of the shaded region. 

Mathematical Equivalence

ON

Tags

CCSS.6.G.A.1

David wants to create a large mural to cover part of his wall. He drew a sketch of his design to determine the amount of canvas he needs. The area of the design was 0.32 square feet. If the actual mural will have dimensions 6 times that of the design, how many square feet of canvas will David need?  Round to the nearest tenth.

Mathematical Equivalence

ON

Tags

CCSS.7.G.A.1

A company that manufactures oatmeal containers designed a container that has a radius of 2 inches and a volume of 88 cubic inches. For a new container design the company plans to keep the height the same and double the radius. What will be the effect on the can’s volume?

• The volume will be multiplied by a factor of 2.

• The volume will be multiplied by a factor of 4.

• The volume will be multiplied by a factor of 3.

• The volume will be multiplied by a factor of 9.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3