Free Printable Final Exam Review Guide fall 25

1.

Calculate the mean:

23, 15, 8, 12, 26, 5, 22, 9

a)

17.1

b)

15

c)

13.3

d)

12

2.

Calculate the mean:

81, 69, 72, 80, 67, 62, 78, 74, 71, 86

a)

82.2

b)

92

c)

67.2

d)

74

3.

Calculate the mean:

54, 38, 52, 51, 49, 46, 39, 53, 47, 42, 52, 41

a)

47

b)

43.4

c)

51.3

d)

50

4.

Calculate the mean:

78, 82, 80, 65, 69, 72, 79

a)

25.2

b)

65.6

c)

87.5

d)

75

5.

Calculate the mean:

12, 8, 5, 11, 9, 17, 13, 7, 21, 27

(a)

6.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

7.

2. Which of the following best describes the process of finding the interquartile range for a set of data?

a)

Add the biggest and smallest numbers.

b)

Place the numbers in order from least to greatest and find the middle.

c)

Find the difference between the maximum and the minimum.

d)

Subtract Q1 from Q3.

8.

What does finding the median of a set of data mean?

a)

finding the number used the most

b)

finding the first number in the set of data

c)

finding the middle number in the set of data

d)

finding my favourite number in the set of numbers

9.

What is the mode?

7, 9, 10, 6, 6, 10, 9, 10

(a)

10.

What is the mode?

65, 66, 61, 61, 67, 65, 64, 67, 64, 67

(a)

11.

Find the range from the following data...

1, 8, 3, 2, 8, 8

a)

8

b)

5

c)

6

d)

7

12.

Find HG.

a)

8

b)

9

c)

10

d)

11

13.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

14.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

15.

Find AC

a)

7

b)

8

c)

22

d)

23

16.

a)

-3

b)

0

c)

1

d)

3

17.

Find the length indicated.

(a)

18.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

19.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

20.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

21.

Given m∠QST = 135°,

What equation would you use to find x?

a)

3x + 1 + 2x - 6 = 135

b)

3x + 1 = 2x - 6

c)

3x + 1 + 135 = 2x - 6

d)

2x - 6 = 135

22.

a)

82°

b)

128°

c)

63°

d)

100°

23.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

24.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

25.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

26.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

27.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

28.

$\angle1$ and $\angle2$ are

a)

vertical

b)

adjacent

29.

Find the missing angle

a)

65

b)

75

c)

55

d)

50

30.

Find the missing angle.

a)

72

b)

68

c)

90

d)

78

31.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

32.

a)

-22.6

b)

248

c)

28

d)

32

33.

What is the value of "x"?

a)

19

b)

20

c)

21

d)

22

34.

What is the distance between the two points? Round to the tenths place if needed

a)

6.3

b)

6.5

c)

6.7

d)

16

35.

Faith travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is the distance she traveled on the way home?

a)

17 miles

b)

23 miles

c)

37 miles

d)

40 miles

36.

Find the distance. Round to the nearest tenth if needed

a)

9.7

b)

10.7

c)

11.7

d)

12.7

37.

What is the distance between A & B?

4 lines

38.

What is the shortest distance from the hospital to the gas station?

a)

-10

b)

10

c)

8

d)

13

39.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

40.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

41.

a)

20 cm

b)

400 cm

c)

10 cm

d)

29.2 cm

42.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

43.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

44.

True or false: For all triangles, a² + b² = c² where a, b, and c are the sides.

a)

True

b)

False

45.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

46.

Given the two parallel lines cut by a transversal,

What is the measure of $\angle5$ ?

(a)

47.

Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

48.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

49.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

50.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

51.

The middle of a line is called the _______________.

a)

endpoint

b)

midpoint

c)

slope

d)

distance

52.

What formula would I use to find the x-coordinate of the midpoint between (3,9) and (5,9)

a)

$\frac{3+5}{2}$

b)

$\frac{3+9}{2}$

c)

$\frac{5+9}{2}$

d)

$\frac{9+9}{2}$

53.

What is the x-coordinate of the midpoint between (-4,4) and (-2,2)?

a)

3

b)

-3

c)

4

d)

6

54.

What is the y-coordinate of the midpoint between (-4,4) and (-2,2)?

a)

3

b)

-3

c)

4

d)

6

55.

Find the measure of the missing angle.

a)

30^o

b)

110^o

c)

150^o

d)

40^o

56.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

57.

Find x.

a)

115 $\degree$

b)

65 $\degree$

c)

36 $\degree$

d)

245 $\degree$

58.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

59.

Solve for x.

a)

16

b)

11

c)

50

d)

6

60.

Solve for x.

a)

6

b)

-10

c)

7

d)

-9

61.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

62.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

63.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a translation

b)

a translation followed by a rotation

64.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then reflect across the y-axis.

b)

Translate up and then rotate 90 degrees about the origin.

65.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

66.

Simplify: $\sqrt{96}$

a)

$4\sqrt{6}$

b)

$3\sqrt{6}$

c)

$6\sqrt{5}$

d)

$6\sqrt{8}$

67.

Simplify: $\sqrt{24}$

a)

$2\sqrt{6}$

b)

$4\sqrt{6}$

c)

$2\sqrt{12}$

d)

$3\sqrt{8}$

68.

Simplify: $\sqrt{40}$

a)

$4\sqrt{10}$

b)

$10\sqrt{4}$

c)

$2\sqrt{10}$

d)

$10\sqrt{2}$

69.

Find $\sqrt{16}$

a)

8

b)

3

c)

4

d)

6

70.

What is the square root of 4?

a)

9

b)

4

c)

2

d)

10

71.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

72.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

73.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

74.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

75.

Solve the equation 3x - 5 = 2x + 7

a)

x = 12

b)

x = 8

c)

x = 15

d)

x = 10

76.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

77.

2k + 12 = -4

a)

-8

b)

8

c)

-10

d)

4

78.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

79.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

80.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

81.

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

82.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

83.

Find x - the length of the hypotenuse of the triangle.

a)

5

b)

5√2

c)

10

d)

5√3

84.

Which of the following pairs of angles are complementary?

a)

45° and 45°

b)

60° and 120°

c)

30° and 60°

d)

90° and 90°

85.

What is the y-coordinate of the midpoint between (2, 8) and (6, 4)?

a)

4

b)

6

c)

8

d)

5

86.

Which statement best describes adjacent angles?

a)

Angles that are opposite each other when lines intersect

b)

Angles that are equal in measure

c)

Angles that add up to 180°

d)

Angles that share a common vertex and side

87.

Which of the following best describes supplementary angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are equal to each other

d)

Angles that add up to 90°

88.

Find the mean of the following numbers:

60, 75, 85, 90, 80

a)

78

b)

82

c)

80

d)

90

89.

What is the length of the missing side in a right triangle if the other two sides are 9 and 12?

a)

10

b)

21

c)

15

d)

13

90.

Which of the following is NOT a type of angle pair?

a)

Parallel angles

b)

Supplementary angles

c)

Complementary angles

d)

Vertical angles

91.

What is the median of the following data set?

7, 12, 5, 9, 15

a)

9

b)

15

c)

12

d)

7

92.

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

a)

360°

b)

90°

c)

180°

d)

270°

93.

Which of the following is a property of parallel lines?

a)

They intersect at one point

b)

They form a right angle

c)

They are always perpendicular

d)

They never meet

94.

Find the value of x if 2x + 5 = 15.

a)

10

b)

3

c)

5

d)

7

95.

Which of the following is true about complementary angles?

a)

They add up to 90°

b)

They add up to 180°

c)

They are always vertical

d)

They are always adjacent

96.

What is the x-coordinate of the midpoint between (2, 5) and (8, 3)?

a)

6

b)

4

c)

7

d)

5

97.

Find the value of x if 2x + 7 = 21.

a)

8

b)

14

c)

7

d)

5

98.

Which of the following is NOT a property of a midpoint?

a)

It is equidistant from both endpoints

b)

It is always located at the origin

c)

It can be found using the midpoint formula

d)

It divides a segment into two equal parts

99.

Given the data set: 12, 15, 18, 21, 24, what is the median?

a)

21

b)

18

c)

12

d)

15

100.

What is the value of x if two complementary angles are x and 37°, and their sum is 90°?

a)

53

b)

37

c)

90

d)

27

Final Exam Review Guide fall 25

Total questions: 100

Worksheet time: 7hrs 51mins

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