Free Printable 2021 Spring Final Review (Multiple Choice)

1.

RQ is a radius of circle R and PQ is tangent to circle R. Find the value of x.

a)

9

b)

15

c)

19

d)

23

2.

Find the radius of the circle.
$\frac{marc}{360}=\frac{arc\ length}{2\pi r}$

a)

11.46 m

b)

3.39 m

c)

22.33 m

d)

178.63 m

3.

Find the area of the polygon.

A=\frac{1}{2}Pa

a)

522

b)

1044

c)

1392

d)

696

4.

JK and JM are tangent to circle L. Find the value of x.

a)

3

b)

4

c)

6

d)

12

5.

Find the measure of angle 1.

\angle=\frac{arc_{big}-arc_{small}}{2}

a)

121.5

b)

117

c)

126

d)

63

6.

Find the area of the trapezoid.

A=\frac{1}{2}h\left(b_1+b_2\right)

a)

152

b)

76

c)

112

d)

56

7.

Find the surface area of the rectangular prism.

SA=2B+Ph

a)

72

b)

84

c)

108

d)

78

8.

If the radius of a circle is 1.7, find the approximate circumference. $C=2\pi r$

a)

10.68

b)

9.07

c)

5.34

d)

18.15

9.

Which of the following term can be described as "the dictance from the center to a side of a polygon" ?

a)

radius

b)

diameter

c)

apothem

d)

central angle

10.

Find the value of x using trigonometry.

a)

50

b)

40

c)

57

d)

33

11.

Find the lateral area of the figure. Round your answer to second decimal places.

LA=2\pi rh

a)

211.26

b)

163.91

c)

269.54

d)

375.17

12.

Find the surface area of the figure. Round your answer to second decimal places.

LA=2\pi rh+2\pi r^2

a)

211.26

b)

163.91

c)

269.54

d)

375.17

13.

Find the value of x using trigonometry.

a)

27.51

b)

26.16

c)

8.08

d)

8.94

14.

Find the surface area of a sphere that has a diameter of 12.

SA=4\pi r^2

a)

1808.64

b)

452.16

c)

150.72

d)

75.36

15.

Find the base area of the square pyramid.

A=s^2

a)

16

b)

32

c)

64

d)

48

16.

Find the Volume of the square pyramid.

V=\frac{1}{3}Bh,\ A=s^2

a)

384

b)

128

c)

64

d)

640

17.

If a ladder is 15 feet long and 11 feet from the base of a wall, then what angle does the ladder make with the ground?

a)

43

b)

47

c)

36

d)

54

18.

The shadow of a tree is 13 feet long. If the angle of elevation is 58^o, then how tall is the tree?

a)

11.0246 ft

b)

20.8043 ft

c)

6.8890 ft

d)

8.1233 ft

19.

How many faces, edges, and vertices does a triangular prism have?

a)

F: 6, E: 12, V: 8

b)

F: 4, E: 6, V: 4

c)

F: 5, E: 8, V 5

d)

F: 5, E: 9, V: 6

20.

Genny made a cylindrical clay vase for her art project. If the vase has a volume of 548 cubic inches and a diameter of 10 inches which is closest to the height of the vase?

V=\pi r^2h

a)

2 in

b)

17 in

c)

7 in

d)

9 in

21.

Use trigonometry to find the value of x.

a)

7.1845

b)

36.4566

c)

15.4072

d)

18.7574

22.

Use trigonometry to find the value of x.

a)

32

b)

51

c)

39

d)

58

23.

Find the area of a right triangle with a base of 8 and a hypotenuse of 17.

a)

60

b)

120

c)

136

d)

68

24.

Find the area of the figure.

A=bh

a)

112

b)

126

c)

72

d)

63

25.

Find the area of the shaded part.

\frac{marc}{360}=\frac{\sec tor\ area}{\pi r^2}

a)

826.61

b)

30.62

c)

61.23

d)

708.68

26.

Suppose a classroom is 23 feet long, 19 feet wide and 13 feet high. Each person in the room must have 130 cubic feet of space. To the nearest person find the maximum number of people that should be allowed in the room.

a)

44

b)

43

c)

15

d)

16

27.

What polynomial represents the area of the regular polygon shown? $A=\frac{1}{2}Pa$

a)

$4x^2+2x$

b)

$20x^2+2x$

c)

$10x+5$

d)

$20x^2+10x$

28.

Use Euler's formula (F + V = E + 2) to find the value of n.

Faces: 8

Vertices: n

Edges: 14

a)

6

b)

8

c)

20

d)

22

29.

Find the surface area of the cylinder.

SA=2\pi rh+2\pi r^2

a)

803.84

b)

401.92

c)

1155.52

d)

753.6

30.

Find the value of x using special right triangles.

a)

$9\sqrt{3}$

b)

$3\sqrt{3}$

c)

18

d)

9

31.

The map shows 2 different ways Ms. Bentsen can take to drive to the airport from her house. How many miles does Ms. Bentsen drive in total if she takes Mountain Highway and Oak Road?

a)

60 miles

b)

65 miles

c)

85 miles

d)

90 miles

32.

The 15 feet long bed of a dump truck loaded with debris must rise to an angle of 30^o to unload. How high must the front of the bed rise for the debris to spill out?

a)

7.5 ft

b)

15 ft

c)

$15\sqrt{3}\ ft$

d)

$5\sqrt{3}\ ft$

33.

Line AB is a __________.

a)

tangent

b)

secant

c)

chord

d)

diameter

34.

Line HF is a __________.

a)

tangent

b)

secant

c)

chord

d)

diameter

35.

Rationalize $\frac{\sqrt{64}}{\sqrt{25}}$

a)

$\frac{64}{5}$

b)

$\frac{64}{25}$

c)

$\frac{\sqrt{8}}{\sqrt{5}}$

d)

$\frac{8}{5}$

36.

Simplify $3\sqrt{12}$

a)

$6$

b)

$12\sqrt{3}$

c)

$6\sqrt{3}$

d)

$9\sqrt{4}$

37.

Rationalize and simplify $\frac{2\sqrt{15}}{\sqrt{3}}$

a)

$2\sqrt{5}$

b)

$\frac{2\sqrt{45}}{3}$

c)

$\sqrt{10}$

d)

$\frac{6\sqrt{15}}{3}$

38.

Multiply and simplify $\left(2\sqrt{8}\right)\left(5\sqrt{10}\right)$

a)

$10\sqrt{80}$

b)

$100\sqrt{8}$

c)

$20\sqrt{20}$

d)

$40\sqrt{5}$

39.

Find the value of x using special right triangles.

a)

$8$

b)

$8\sqrt{2}$

c)

$16\sqrt{3}$

d)

$\frac{16\sqrt{3}}{3}$

40.

Use triangle XYZ to find the trigonometric ratio of tan(x).

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{3}{5}$

d)

$\frac{4}{5}$

2021 Spring Final Review (Multiple Choice)

Total questions: 40

Worksheet time: 2hrs 45mins

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