Free Printable Geometry Final Review Game 24/25

1.

Find the volume of the skateboard ramp shown.

a)

80 cm³

b)

160 cm³

c)

42 cm³

d)

40 cm³

2.

Calculate the volume of a cube with side length 4 cm.

a)

24 cm³

b)

32 cm³

c)

64 cm³

d)

16 cm³

3.

Which shape is made by this cross section?

a)

Triangle

b)

Parallelogram

c)

Circle

d)

Trapezoid

4.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

5.

Find the volume of this cylinder.

a)

16 in³

b)

100.5 in³

c)

402.1 in³

d)

103.3 in³

6.

What was the volume of the triangular prism?

a)

16 cm³

b)

16 cm²

c)

32 cm³

d)

32 cm²

7.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

8.

The lateral faces of a pyramid are what shape?

a)

rectangles

b)

triangles

c)

squares

d)

trapezoids

9.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

10.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

11.

What shape will the vertical cross-section of a cube be?

a)

Square

b)

Triangle

c)

Trapezoid

d)

Circle

12.

The volume of the cube is 27 cubic units. What is the SURFACE AREA of this figure?

a)

64 cm²

b)

54 cm²

c)

36 cm

13.

The volume of a sphere is 113.1 cubic units. What is the radius?

a)

3

b)

9

c)

1/3

d)

27

14.

Find the surface area of the triangular pyramid.

a)

123.6 sq. feet

b)

116.8 sq. feet

c)

127.9 sq. feet

d)

130.9 sq. feet

15.

Find the approximate volume of the hexagonal prism above.

a)

$360\ in^3$

b)

$547.06\ in^3$

c)

$93.53\ in^3$

d)

$935.3\ in^{\ 3}$

16.

Find the volume of a sphere with a great circle with area of $36\pi$ .

a)

6

b)

$72\pi$

c)

$1296\pi$

d)

$288\pi$

17.

What are the coordinates of the image of point $A(3,6)$ after $\left(r_{\left(90\degree,O\right)},\ A\right)$ ?

a)

(-3, 6)

b)

(3, -6)

c)

(-6, 3)

d)

(6, 3)

18.

What are the coordinates of the image of point $M(2,-6)$ after $T_{<4,\ 5>}$ ?

a)

(-1, 6)

b)

(6, -1)

c)

(-2, -11)

d)

(-11, -2)

19.

What are the coordinates of the image of point $P(2,6)$ after $\left(r_{\left(180\degree,O\right)},\ P\right)$ ?

a)

(-2, -6)

b)

(-6, -2)

c)

(-2, 6)

d)

(6, -2)

20.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 6 y = 3√2

21.

Find x.

a)

12

b)

√2

c)

√3

d)

6

22.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

10√3

23.

Find n.

a)

4

b)

6

c)

12

d)

2√3

24.

In a circle, how far away is a 4 inch chord

from the center of a 12 inch diameter? Round to the nearest tenth.

a)

2 in

b)

6.3 in

c)

5.7 in

d)

4 in

25.

What is the area of the triangle? Round to the nearest hundredth.

a)

$39.98\ u^2$

b)

$1.4\ u^2$

c)

$40\ u^2$

d)

$80\ u^2$

26.

Write the equation of a circle with two endpoints of a diameter at $\left(4,\ 2\right)$ and $\left(4,-6\right)$ .

a)

$\left(x+4\right)^2+\left(y-2\right)^2\ =\ 4$

b)

$\left(x-4\right)^2+\left(y+2\right)^2\ =\ 4$

c)

$\left(x+4\right)^2+\left(y-2\right)^2\ =\ 16$

d)

$\left(x-4\right)^2+\left(y+2\right)^2\ =\ 16$

27.

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74^𝑜 with the level ground. How high on the wall does the ladder reach?

Which of the following is the correct diagram for the problem?

a)

b)

c)

d)

28.

Find the angle of elevation of the Sun when a 12.5 meter tall telephone pole casts an 18 meter long shadow. Round your answer to the nearest tenth (one decimal place).

(a)

29.

A dilation maps △DEF to △MNO. If DE = 21,

EF = 15, DF = 12, and NO = 5. What is MN?

a)

3

b)

7

c)

4

d)

$\frac{1}{3}$

30.

Find the area of this regular polygon

a)

81.8 m²

b)

204.4 m²

c)

408.8 m²

d)

40.8 m²

31.

What is the area of this triangle?

a)

27√3 in²

b)

27 in²

c)

18 in²

d)

18√3 in²

32.

Find the area of this hexagon.

a)

54 cm²

b)

54√3cm²

c)

36√3 cm²

d)

36 cm²

33.

Find the length of WU

a)

5

b)

18

c)

3

d)

11

34.

Solve for x. Assume that lines which appear tangent are tangent.

a)

11

b)

17

c)

18

d)

12

35.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

36.

Solve for x.

a)

7.94

b)

8

c)

10.58

d)

112

37.

Solve for a.

a)

4

b)

6.93

c)

8

d)

16

38.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

39.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

40.

What is x?

a)

15

b)

23

c)

2

d)

92

41.

Find x

a)

10

b)

5

c)

18

d)

9

e)

8

42.

What is the measure of arc AB? hint: Find the measure of $\angle EFB$ .

a)

$60\degree$

b)

$42\degree$

c)

$30\degree$

d)

$84\degree$

43.

Solve for x.

a)

29

b)

33

c)

41.5

d)

58

44.

What is the measure of the internal angle?

(a)

45.

Find the area of sector.

a)

$14\pi\ cm^2$

b)

$147\pi\ cm^2$

c)

$147\ cm^2$

d)

$73.5\pi\ cm^2$

46.

Find the area of the shaded sector. Round to the nearest hundredth.

a)

7.92 units ²

b)

24.74 units²

c)

10.60 units²

d)

98.19 units²

47.

What is the probability of landing in the shaded region? Round your answer to the nearest tenth.

a)

$27.8\ \%$

b)

$10\pi\ u^2$

c)

$31.4\ \%$

d)

$8.7\ \%$

48.

Find the area of the composite figure

a)

40

b)

9

c)

49

d)

61

49.

Find the area of the composite figure.

a)

40.14 cm²

b)

38.57 cm²

c)

43.57 cm²

d)

25.66 cm²

50.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

51.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

52.

Use the Law of Sines to solve for BC. $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

a)

33

b)

24

c)

12

d)

29

53.

Find the surface area of the regular polyhedron with edges of 10cm. Leave in simplest radical form.

a)

$50\ \sqrt[]{2}\ cm^2$

b)

$50\ \sqrt[]{3}\ cm^2$

c)

$100\ \sqrt[]{2}\ cm^2$

d)

$100\ \sqrt[]{3}\ cm^2$

54.

If the volume of a sphere is $\frac{32}{3}\pi\ cm^3$ , what is the length of its radius?

a)

$2cm$

b)

$3cm$

c)

$4cm$

d)

$2.5cm$

55.

If the area of a great circle in a sphere is $81\pi\ cm^2$ . What is the surface area of the sphere?

a)

$972\pi\ cm^2$

b)

$81\pi\ cm^2$

c)

$324\pi\ cm^2$

d)

$9\pi\ cm^2$

Geometry Final Review Game 24/25

Total questions: 55

Worksheet time: 5hrs 35mins

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