Free Printable Geometry Final Review

1.

What is the sum of all angles?

a)

144

b)

1800

c)

1440

d)

12

2.

What is the sum of all angles?

a)

180

b)

720

c)

360

d)

Can't tell

3.

What is the sum of the measures of all the interior angles of a triangle?

a)

120°

b)

180°

c)

240°

d)

360°

4.

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

a)

60°

b)

80°

c)

108°

d)

120°

5.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

6.

What is the sum of exterior angles of a pentagon?

a)

180

b)

360

c)

540

d)

760

7.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

8.

Solve for the missing variable.

a)

255°

b)

90°

c)

60°

d)

105°

9.

Figure A is a...

a)

Rectangle

b)

Square

c)

Rhombus

10.

Which of the following are NOT true about diagonals of a rhombus?

a)

they are perpendicular

b)

they bisect each other

c)

they are congruent

11.

Name the following shape:

a)

Rhombus

b)

Rectangle

c)

Square

12.

Diagonals of a rhombus bisect each other.

a)

always true

b)

sometimes true

c)

never tue

13.

The sum of the interior angles of a rectangle is 180.

a)

always true

b)

sometimes true

c)

never true

14.

A square is a rhombus.

a)

always true

b)

sometimes true

c)

never true

15.

Every rectangle is a rhombus.

a)

always true

b)

sometimes true

c)

never true

16.

Diagonals of a rhombus are congruent.

a)

always true

b)

sometimes true

c)

never true

17.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

18.

In rhombus ABCD, if DB = 2x - 4 and PB = 2x - 9, find the value of x.

(a)

19.

ABCD is a rectangle.

If $AC=12$ , then $BD=?$

20.

What Transformation is visible?

a)

Dilation

b)

Rotation

c)

Reflection

d)

Translation

21.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

22.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

23.

Quadrilateral E'F'G'H' is a transformation of EFGH. Which rule describes this transformation?

a)

A. (x, y) --> (x - 4, y + 6)

b)

B. (x, y) --> (x - 4, y - 6)

c)

C. (x, y) --> (x + 4, y + 6)

d)

D. (x, y) --> (x + 6, y + 4)

24.

Pentagon R'S'T'U'V' is a transformation of RSTUV. Which rule describes this transformation?

a)

A. (x, y) --> (x, -y)

b)

B. (x, y) --> (-y, x)

c)

C. (x, y) --> (-x, -y)

d)

D. (x, y) --> (y, -x)

25.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)

A. (x, y) --> (2x, 2y)

b)

B. (x, y) --> (x + 2, y - 2)

c)

C. (x, y) --> (0.5x, 0.5y)

d)

D. (x, y) --> (x - 0.5, y - 1)

26.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

27.

What is the measure of arc FE?

a)

54°

b)

126°

c)

117°

d)

31.5°

28.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

29.

What is x?

a)

5

b)

23

c)

2

d)

28

30.

Solve for x.

a)

167

b)

11

c)

9

d)

118

31.

AC is a tangent to circle O at point C. What is the length of AC?

(a)

32.

What is the value of x?

a)

4.3

b)

3.4

c)

5.3

d)

4.8

33.

What is the value of x?

a)

8 in

b)

0.1 in

c)

4.8 in

d)

6.5 in

34.

Determine whether a tangent is shown in each diagram.

a)

Yes

b)

No

c)

Sometimes

d)

Not enough information

35.

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

a)

11.2

b)

18.0

c)

25.0

d)

30.0

36.

Find the length of LK

a)

24

b)

20.25

c)

17.5

d)

12.32

37.

Which of the following is the equation of a circle with a radius of 5 and a center (-3,2) ?

a)

(x-3)²+(y+2)²=25

b)

(x+3)²+(y-2)=5

c)

(x+3)²+(y-2)²=25

d)

(x-3)²+(y+2)²=5

38.

What is the center of the circle with an equation of (x+3)²+y²=144 ?

a)

(3,0)

b)

(0,3)

c)

(-3,0)

d)

(0,-3)

39.

What does the equation of a circle with center at (0,0) look like?

a)

$y=x^2$

b)

$y=mx+b$

c)

$x^2+y^2=r^2$

d)

$y=a\left(x-h\right)^2+k$

40.

Select all equations that have a radius of 3.

a)

(x-3)²+(y-3)²=3

b)

(x+6)²+(y-2)²=9

c)

(x+5)²+y²=6

d)

(x-7)²+(y-1)²=9

e)

(x-2)²+(y-3)²=6

41.

Write the equation of a circle with a center at (-2,3) and a point on the circle at (-2,7).

a)

(x+2)²+(y-3)²=16

b)

(x+2)²+(y-3)²=4

c)

(x-2)²+(y+3)²=4

d)

(x-2)²+(y+3)²=16

42.

Write the equation of a circle with a center at (-2,1) and a point on the circle at (0,3).

a)

$\left(x+2\right)^2+\left(y-1\right)^2=8$

b)

$\left(x-2\right)^2+\left(y+1\right)^2=8$

c)

$\left(x+2\right)^2+\left(y-1\right)^2=\sqrt{8}$

d)

$\left(x-2\right)^2+\left(y+1\right)^2=\sqrt{8}$

43.

Find the area.

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

44.

Find the area of this composite figure

a)

77 m²

b)

78 m²

c)

79 m²

d)

80 m²

45.

Find the area of this composite figure

a)

86 cm²

b)

87 cm²

c)

88 cm²

d)

89 cm²

46.

Find the area of the polygon.

a)

45 in²

b)

68 in²

c)

36 in²

d)

24 in²

47.

Find the area of the figure shown.

a)

34 units²

b)

960 units²

c)

220 units²

d)

480 units²

48.

What is the area of the composite shape?

a)

50cm²

b)

25cm²

c)

40cm²

d)

35cm²

49.

Find the area.

a)

50 units²

b)

200 units²

c)

250 units²

d)

300 units²

50.

a)

441 cm²

b)

651 cm²

c)

425 cm²

d)

341 cm²

51.

Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?

a)

13,600 ft²

b)

18,400 ft²

c)

16,000 ft²

d)

2,400 ft²

52.

Sandy's Sandals come in 4 different models: sport, super-sport, casual and chic, 5 different colors, and 9 different sizes. How many choices are there?

a)

188

b)

180

c)

140

d)

119

53.

A golf manufacturer makes irons with 7 different shaft lengths, 3 different grips, and 2 different club head materials. How many different combinations are offered?

a)

21

b)

42

c)

14

d)

12

54.

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

a)

30

b)

17

c)

90

d)

270

55.

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

a)

36

b)

64

c)

720

d)

46656

56.

Eva has eight glasses of water. In how many different orders can the glasses of water be arranged?

a)

8

b)

64

c)

8!

d)

56

57.

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

a)

90

b)

100

c)

12

d)

24

58.

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

a)

84

b)

504

c)

9!

d)

3!

59.

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

a)

Permutation

1.

A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

b)

Combination

2.

The principal would like to assemble a committee of 8 students from the 12-member student council.

c)

Factorial

3.

Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

60.

How would you solve?

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

a)

Permutation

b)

Counting Principles

c)

Factorial

d)

Combination

61.

How would you solve?

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

a)

Permutation

b)

Counting Principles

c)

Factorial

d)

Combination

62.

How would you solve?

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

a)

Permutation

b)

Counting Principles

c)

Factorial

d)

Combination

63.

There are 30 children in a class and they all have at least one cat or dog.

14 children have a cat, 19 children have a dog.

What is the probability that a child chosen at random from the class has both a cat and a dog?

a)

$\frac{1}{10}$

b)

$\frac{2}{15}$

c)

$\frac{1}{6}$

d)

$\frac{1}{5}$

64.

A bag contains 26 balls with letters written on each, one ball for each letter of the alphabet. What is the probability that when you get a ball at random, the letter written on the ball is either a vowel or one of the first five letters of the alphabet?

a)

5/26

b)

3/13

c)

4/13

d)

2/26

65.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a fraction.

a)

$\frac{5}{12}$

b)

$\frac{1}{12}$

c)

$\frac{12}{121}$

d)

$\frac{7}{12}$

66.

You have a bag of 17 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?

a)

15/136

b)

30/289

c)

Other

67.

In a bag there are 9 beads: 3 yellow, 2 blue, and 4 red. If 2 beads are drawn randomly from the bag without replacement, what is the probability that the first bead drawn will be red and the second bead drawn will be blue?

a)

$\frac{1}{18}$

b)

$\frac{1}{12}$

c)

$\frac{1}{9}$

d)

$\frac{2}{3}$

68.

A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor's degrees: and of 75 male nurses, 34 had bachelor's degrees. If a nurse is selected at random, find the probability that the nurse is a female or has a bachelor degree.

a)

159/200

b)

125/200

c)

215/200

d)

90/200

69.

In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, find the probability of selecting a junior or a female.

a)

24/28

b)

12/28

c)

18/28

d)

6/28

70.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose two marbles. What is the probability of selecting a two yellow marbles?

a)

25/84

b)

1/19

c)

10/23

d)

1/3

71.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?

a)

8/15

b)

6/11

c)

3/4

d)

2/3

72.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. What is the probability of selecting a white chip, then a purple chip, and then a black chip?

a)

1/36

b)

2/39

c)

5/41

d)

6/43

73.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out a marble, replaces it, then selects another. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/25

d)

1/45

74.

Find the Area of a sector

a)

2.56 m²

b)

201.4 m²

c)

358.9 m²

75.

What is the area of the sector ?

a)

$\approx16.5\ cm^2$

b)

$\approx16.89\ cm^2$

c)

$\approx33.79\ cm$

76.

Find the Area of the sector

a)

100.2 km²

b)

316.6 km²

c)

26.9 km

77.

Find the area of sector

a)

143.9 cm²

b)

28.8 cm²

c)

160 cm²

78.

Find the area of a sector

a)

102.6 in²

b)

265 in²

c)

65 in²

79.

What is the approximate area of the shaded region? (Round to the nearest whole number)

(a)

80.

Solve.

a)

386.97 cm²

b)

122.5 cm²

c)

50.3 cm²

d)

102.4 cm²

81.

What is the area of the unshaded region? (a)

Choose from the below words

$16\ ft^2$

$32\ ft^2$

$8\ ft^2$

82.

What is the area of the shaded region?

a)

625

b)

134.375

c)

490.87

d)

228.4

83.

a)

1102.14 ft²

b)

1102.15 ft²

c)

1102.13 ft²

Geometry Final Review

Total questions: 83

Worksheet time: 21hrs 45mins

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