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4th Quarter Geometry Review

Total questions: 20

Worksheet time: 57mins

Name
Class
Date
1.

A gift box top is shaped as a rectangle. The perimeter of this rectangle is 54 cm, and the length is twice the width. What is the area of the top?

a)

108 sq. cm.

b)

154 sq. cm.

c)

162 sq. cm.

d)

324 sq. cm.

2.

Amy cut a right triangle out of a circular shaped piece of construction paper as shown below. What is the area of the leftover construction paper?

a)

30.54 in2

b)

54.54 in2

c)

78.54 in2

d)

290.16 in2

3.

9. A sign is in the shape of a regular hexagon. If each side and the radius is 6 inches, what is the area of the hexagon?

a)

54 square inches

b)

72 square inches

c)

93.5 square inches

d)

108 square inches

4.

A patio is in the shape of an isosceles trapezoid. What is the area of the patio below?

a)

112.5 yd2

b)

225 yd2

c)

292.5 yd2

d)

585 yd2

5.

What is the volume of a cube with a surface area of 600 cm2?

a)

100 cm3

b)

216 cm3

c)

750 cm3

d)

1000 cm3

6.

The volume of a cylindrical water container is 50 in3. If the radius of the container is doubled, how many cubic inches of water will the new container hold?

a)

25 in3

b)

75 in3

c)

100 in3

d)

200 in3

7.

Which value represents the surface area of the right cone? Round to the nearest tenth.

a)

3.1 cm2

b)

3.6 cm2

c)

8.2 cm2

d)

11.3 cm2

8.

What is the LATERAL area of the square pyramid shown below?

a)

48 cm2

b)

60 cm2

c)

96 cm2

d)

144 cm2

9.

A quadrilateral is inscribed in the circle as shown below. What is the value of x?

a)

18°

b)

72°

c)

108°

d)

144°

10.

Find the value of x.

a)

b)

45°

c)

50°

d)

55°

11.

The measure of the angle formed by two tangents from a communications satellite is 40°. The part of the earth visible from the satellite is represented by arc AB. What is the measure of arc AB ?

a)

40°

b)

80°

c)

140°

d)

220°

12.

The equation of a circle is given by (x + 2)2 + (y - 3)2 = 9. What are the center and radius of the circle?

a)

center (2, 3), radius 3

b)

center (2, 3), radius 9

c)

center (-2, -3), radius 3

d)

center (-2, 3), radius 3

13.

Ima Genius is building a sandbox in the shape of a triangle. She wants the lid of the sandbox to have straps that connect each side to an interior point that is equidistant to each side. Which construction should Ima use to locate the point that is equidistant the sides of the sandbox?

a)

The angle bisectors of the angles of the triangle.

b)

The medians of the sides of the triangles.

c)

The perpendicular bisectors of the sides of the triangle.

d)

The altitudes of the sides of the triangle.

14.

What is the area, in square units of the figure below?

a)

4

b)

8

c)

16

d)

32

15.

Find the area, in square units, of the figure below.

a)

6.75

b)

10

c)

16.75

d)

24.75

16.

Find the total surface area of the square pyramid below.

a)

48

b)

96

c)

144

d)

156

17.

The cone shaped funnel has a height of 9 cm and a rim with circumference 12π cm. What is the EXACT volume of the funnel?

a)

54π cm²

b)

108π cm²

c)

162π cm²

d)

324π cm²

18.

The cylindrical oil tank shown below is half full. How much oil is in the tank? Round to the nearest cubic foot.

a)

113 cubic feet

b)

151 cubic feet

c)

226 cubic feet

d)

452 cubic feet

19.

Solve for x, given that m∠AB = 100° and m∠BD = 65°.

a)

65

b)

86.667

c)

130

d)

260

20.

How many edges does an octagonal prism have?

a)

24

b)

20

c)

18

d)

16