Free Printable Geometry Final Exam Review

1.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

2.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

3.

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

4.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

5.

Find the image of $P\left(3,\ 4\right)$ after the composition of translations $\left(x,\ y\right)\rightarrow\left(x+1,\ y-2\right)$ and $\left(x,\ y\right)\rightarrow\left(x-5,\ y+1\right)$

a)

$\left(-2,\ 5\right)$

b)

$\left(4,\ 2\right)$

c)

$\left(-1,\ 3\right)$

d)

$\left(2,\ 6\right)$

6.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

7.

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter.

a)

185.18 meters

b)

523.55 meters

c)

220.80 meters

d)

624.27 meters

8.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

9.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

10.

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

a)

12.4 ft

b)

11.3 ft

c)

22.3 ft

d)

49.1 ft

11.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

12.

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

a)

41.7 ft

b)

36.6 ft

c)

34.6 ft

d)

38.8 ft

13.

What is the sum of the interior angles for a 24-gon

a)

3960

b)

360

c)

15

d)

4280

14.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

15.

Is the figure a polygon? Is it convex or concave?

a)

Not a polygon, convex

b)

Polygon, convex

c)

Not a polygon

d)

Polygon, concave

16.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

17.

What is the area of the rhombus? Use the diagonals from above. $\frac{d1\cdot d2}{2}\$

a)

264 m²

b)

448 m²

c)

121 m²

d)

255 m²

18.

Find the Area of this triangle

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

19.

Find the area. Remember to find the diagonals first. $\frac{d1\cdot d2}{2}$

a)

19.5 m2

b)

78 m²

c)

39 m²

d)

27 m²

20.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

21.

Which of the following statements is true?

a)

a kite has congruent opposite sides

b)

a kite has two pairs of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite form 4 congruent triangles

22.

William is drawing pictures of cross sections of the right circular cone above.

Which drawing can not be a cross section of a cone?

a)

b)

c)

d)

23.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

24.

Find the surface area of the square pyramid.

a)

429 sq. cm

b)

389 sq. cm

c)

441 sq.cm

d)

377 sq. cm

25.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

26.

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

a)

1,676 mm³

b)

18,850 mm³

c)

33,510.3 mm³

d)

268,083 mm³

27.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

28.

Select all prism shapes:

a)

b)

c)

d)

e)

29.

Find the total surface area of the cylinder.

a)

471.24 square centimeters

b)

157.08 square centimeters

c)

314.16 square centimeters

d)

296.72 square centimeters

30.

Jesse needs to wrap the present shown below. How much wrapping paper would he need?

a)

300 in²

b)

558 in²

c)

327 in²

d)

354 in²

31.

Find the surface area of the sphere, given diameter is 10.

a)

314.16 in²

b)

284 in²

c)

166.67 in²

d)

521.24 in²

32.

Which is a Pythagorean Triple?

a)

4,4,8

b)

6,8,10

c)

1,2,3

d)

10,15,25

33.

Complete the Pythagorean Triple

? - 12 - 15

a)

12

b)

4

c)

8

d)

9

e)

15

34.

Solve for x

a)

12

b)

8

c)

1.5

d)

.3

35.

Solve for the m<E

a)

180

b)

24

c)

120

d)

60

36.

Which is NOT a property of a parallelogram?

a)

opposite sides are parallel

b)

opposite angles are congruent

c)

diagonals bisect each other

d)

all sides are congruent

37.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

38.

The following picture is a parallelogram.

Solve for z.

a)

z=81

b)

z=10.1

c)

z=103

d)

z=8

39.

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

a)

5

b)

25

c)

50

d)

125

40.

If a spherical ball is enlarged so that its surface area is 9 times greater than its original surface area, then the original radius was multiplied by ____.

a)

1

b)

3

c)

9

d)

27

41.

Two cones are similar. One cone has a radius of 12 inches, while the larger cone has a radius of 20 inches. The volume of the larger cone is 20,000 cubic inches. What is the volume of the small cone?

a)

12,000 cubic inches

b)

8000 cubic inches

c)

7200 cubic inches

d)

4320 cubic inches

42.

Choosing 3 toppings for your sundae out of a list of 15.

a)

Permutation

b)

Combination

43.

Picking a President, Vice-President, and Secretary from a group of 12.

a)

Permutation

b)

Combination

44.

₁₂P₄

a)

24

b)

132

c)

1320

d)

11880

45.

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

a)

220

b)

36

c)

1320

d)

100

46.

How many ways ways can you arrange the letters in the word math?

a)

15

b)

4

c)

24

d)

48

47.

₁₀C₄

a)

20

b)

45

c)

120

d)

210

48.

₇P₂

a)

0

b)

7

c)

42

d)

210

49.

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

a)

permutation

b)

combination

50.

₃P₃

a)

0

b)

3

c)

6

d)

9

51.

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

a)

permutation

b)

combination

52.

A group of 20 people are going to run a race. How many ways can the top 9 finishers advance to the finals?

a)

83980

b)

819782656

c)

167960

d)

335920

53.

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

a)

5/7

b)

1/7

c)

2/7

d)

1

54.

What's the probability of choosing a red M&M (eating it) and then a green M&M?

a)

1/9

b)

1/34

c)

1/36

d)

1/306

55.

What is the equation of the given circle?

a)

(x + 3)² + (y + 1)² = 16

b)

(x + 3)² + (y + 1)² = 25

c)

(x - 3)² + (y - 1)² = 16

d)

(x - 3)² + (y - 1)² = 25

56.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

57.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

58.

What is the equation of circle A?

a)

(x + 2)² + (y + 1)² = 16

b)

(x + 2)² + (y + 3)² = 16

c)

(x - 6)² + (y - 5)² = 16

d)

(x - 6)² + (y + 2)² = 16

59.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

a)

36

b)

35

c)

30

d)

41

60.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

61.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

62.

What is the value of x if both segments are tangent to the circle?

a)

A

b)

B

c)

C

d)

D

63.

What is the value of DC? (to the nearest hundredth)

a)

9.43

b)

4.43

c)

√89

d)

9

64.

Find the value of x

a)

6

b)

13

c)

10

d)

9

65.

a)

9

b)

10

c)

15

d)

14

66.

Determine the value of x in the diagram.

a)

14

b)

21

c)

22

d)

27

67.

Given:

AO=OB=5

OP\ is\ perpendicular\ to\ Ab\ and\ OP=3

What is the value of AB?

a)

4

b)

8

c)

10

d)

6

68.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

Geometry Final Exam Review

Total questions: 68

Worksheet time: 3hrs 10mins

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