Free Printable Geometry SOL Review

1.

What is the sum of the interior angles of a convex decagon?

a)

1800

b)

1440

c)

2160

d)

1080

2.

What is the value of x in the polygon?

a)

53

b)

40

c)

183

d)

43

3.

What is the measure of one exterior angle of a regular octagon?

a)

$135\degree$

b)

$1080\degree$

c)

$60\degree$

d)

$45\degree$

4.

One angle inside a regular polygon is 160 degrees. How many sides does the polygon have?

The polygon has (a) sides.

5.

Miranda noticed the tiles on her floor created a tessellation consisting of regular hexagons and rhombuses. She drew part of the tessellation below. What is the measure of angle x?

a)

$80\degree$

b)

$60\degree$

c)

$120\degree$

d)

$135\degree$

6.

The figure is a Rhombus. What is the value of $\angle BCE$ ?

a)

$62\degree$

b)

$28\degree$

c)

$124\degree$

d)

$45\degree$

7.

Select all of the following that have diagonals that are perpendicular bisectors.

a)

Square

b)

Rectangle

c)

Trapezoid

d)

Rhombus

e)

Parallelogram

8.

Figure ABCD is an isosceles trapezoid. What is the value of x?

a)

13

b)

6.6

c)

5

d)

8.75

9.

Find the Length of arc AD.

a)

12.6 cm

b)

31.36 cm

c)

7.0 cm

d)

6.3 cm

10.

Find the value of x.

a)

$140\degree$

b)

$70\degree$

c)

$110\degree$

d)

$145\degree$

11.

Find the AREA of the shaded sector of the circle.

a)

31.6 sq cm

b)

11.8 sq cm

c)

29.4 sq cm

d)

78.5 sq cm

12.

Find the length of segment BD.

a)

2

b)

6

c)

8

d)

14

13.

Find the value of x.

a)

24.25 ft

b)

6 ft

c)

16.5 ft

d)

3.1 ft

14.

Find the length of segment DE, given that segments DE and DF are both tangent to the circle.

a)

4

b)

13

c)

2

d)

12

15.

Which of the following represents the equation of a circle with a center at (3,2) and a diameter of 6 feet?

a)

$\left(x+3\right)^2+\ \left(y+2\right)^2\ =\ 36$

b)

$\left(x-3\right)^2+\ \left(y-2\right)^2\ =\ 9$

c)

$\left(x+3\right)^2+\ \left(y+2\right)^2\ =\ 9$

d)

$\left(x-3\right)^2+\ \left(y-2\right)^2\ =\ 36$

16.

Which is the correct equation for the circle graphed?

a)

$\left(x-2\right)^2\ +\ y^2\ =\ 49$

b)

$x^2\ +\ \left(y+2\right)^2\ =\ 49$

c)

$x^2+\ \left(y-2\right)^2\ =\ 49$

d)

$x^2\ +\ \left(y+2\right)^2\ d=\ 7$

17.

$\left(x-2\right)^2\ +\ \left(y+1\right)^2\ =\ 16$

Which of the following is a point on the circle with the given equation?

a)

(2, -1)

b)

(-2, 1)

c)

(3, 3)

d)

(6, -1)

18.

Two endpoints of the diameter of a circle are (-3 5) and (1, 1). What is the center of this circle?

a)

(-1, 3)

b)

(-2, 6)

c)

(2, 2)

d)

(5, -3)

19.

Preston has a rectangular box with a length of 4 feet and a height of 1.5 feet. He does not know the width of the box, but the box does say it has a volume of 21 cubic feet. What is the width of the box?

a)

4 feet

b)

3.5 feet

c)

126 feet

d)

5.25 feet

20.

Julia is wrapping 3" diameter ice cream cones with a paper wrap. THe wrap covers the entire lateral area of the cone. If the cones have a height of 6 inches, about how many square inches of paper will she need?

a)

56.5 sq in

b)

28.2 sq in

c)

29.2 sq in

d)

35.4 sq in

21.

Rob is going to pour the contents of a soup can into a rectangular prism-shaped container, both show in the picture. Assuming the soup can was full, how much more space can the rectangular prism container hold?

a)

33.2 cu cm

b)

62.8 cu cm

c)

158.8 cu cm

d)

155.2 cu cm

22.

The radius of a sphere is multiplied by 2. This affects the volume of the sphere, as the volume is multiplied by:

a)

2

b)

4

c)

6

d)

8

23.

The ratio of the lengths of two cubes is 2:3. What is the ratio of their volumes?

a)

4:9

b)

2:3

c)

8:27

d)

1:2

24.

Carrie's Cupcakes & More will be changing the dimensions of their famous Cookies & Cream Cake. Customers can choose between a circular cake (in the shape of a cylinder) or a rectangular cake (in the shape of a rectangular prism). Currently, the dimensions of the rectangular cake are 14 inches by 10 inches by 6 inches, and the circular cake has a height of 7 inches and a diameter of 10 inches. The store plans to double the length of the rectangular cake and double the diameter of the circular cake. Which cake will see the biggest change in volume?

a)

Both cakes will see the same amount of change in volume.

b)

The rectangular cake will see a bigger change in volume.

c)

The circular cake will see a bigger change in volume.

d)

Neither cake will change in volume.

Geometry SOL Review - 2nd Semester

Total questions: 24

Worksheet time: 13mins

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