Free Printable End of the year Final Exam (Grade 10)

1.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

2.

$\angle8$ and $\angle6$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

3.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

4.

$\angle3\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

5.

$\angle7\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

6.

$\angle4$ and $\angle8$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

7.

$\angle5$ and $\angle6$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

8.

$\angle1\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

9.

$\angle1\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

10.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

11.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

12.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

13.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

14.

Name a line skew to FG

a)

EH

b)

DC

c)

AD

d)

FB

15.

What does collinear mean?

a)

Points on the same plane

b)

Two lines that never intersect

c)

Points on the same line

d)

Lines that cross each other

16.

What kinds of lines are pictured?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew

17.

What are parallel lines?

a)

Two lines that never cross

b)

Two lines that intersect

c)

Two lines that intersect at 90 degrees

d)

Two lines

18.

What does perpendicular mean?

a)

Lines cross each other

b)

Lines cross at 90 degrees

c)

Lines never touch

d)

Lines are skew

19.

Name a line parallel to AD

a)

EH

b)

AB

c)

DC

d)

HG

20.

Name a line skew to AD

a)

EH

b)

AB

c)

CG

d)

EH

21.

Name a line parallel to AB

a)

EH

b)

DC

c)

AE

d)

FG

22.

Are lines j and k skew?

a)

yes

b)

no

23.

Lines DE, AB, and GC appear to be _________

a)

parallel

b)

perpendicular

c)

skew

24.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

25.

Which pair of angles are corresponding?

a)

Angle 7 and Angle 4

b)

Angle 3 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 4 and Angle 8

26.

Which pair of angles are alternate interior angles?

a)

Angle 7 and Angle 4

b)

Angle 3 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

27.

Which angles are alternate exterior angles?

a)

1,2

b)

3,4

c)

2,7

d)

2,8

28.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

29.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

30.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

31.

What is the symbolic way to show segment AB is parallel to segment GH

a)

$\overline{AB}\parallel\overline{GH}$

b)

$\overline{AB}\perp\overline{GH}$

c)

$\overline{AB}\leftrightarrow\overline{GH}$

d)

$\left|ABGH\right|$

32.

What is the symbolic way to show segment AB is perpendicular to segment GH

a)

$\overline{AB}\parallel\overline{GH}$

b)

$\overline{AB}\perp\overline{GH}$

c)

$\overline{AB}\leftrightarrow\overline{GH}$

d)

$\left|ABGH\right|$

33.

Why Did The Football Player Shake The Vending Machine?

a)

He Wanted his Quarter Back

b)

He Wanted A Drink

c)

His KitKat bar got stuck

d)

He Wanted All The Snacks

34.

Which fast food chain uses the slogan "I'm lovin' it"?

a)

b)

c)

d)

35.

Why are parallel line sad?

a)

They have so much in common and will never meet.

b)

They are related to math

36.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

37.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

38.

4 + b = 30

a)

-34

b)

34

c)

-26

d)

26

39.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

40.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

41.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

42.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

43.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

44.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

45.

y/-5 = 20

a)

y = 100

b)

y = -4

c)

y = -100

d)

y = -15

46.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

47.

x ÷ 2 = 12

a)

x = 24

b)

x = 6

c)

x = 20

d)

x = 10

48.

x ÷ 2 = 12

a)

x = 24

b)

x = 6

c)

x = 20

d)

x = 10

49.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

50.

The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.

a)

25x=125,
x = 5 feet

b)

x+22=125,
x = 20 feet

c)

x-25=125
x=150 feet

d)

25x=125
x=3,125 feet

51.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

52.

Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?

a)

j - 3 = 12

b)

s - 3 = 12

c)

s + 3 = 12

d)

j + 12 = 3

53.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

54.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

55.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

56.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

57.

y + 6 = 20

a)

y = 22

b)

y = 13

c)

y = 14

d)

y = 16

58.

x - 10 = 12

a)

22

b)

-22

c)

2

d)

-2

59.

12 + z = 15

a)

-3

b)

3

c)

-27

d)

27

60.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

61.

a + 4 = 14

a)

-10

b)

10

c)

-18

d)

18

62.

m - 5 = -10

a)

-15

b)

15

c)

-5

d)

5

63.

4 + b = 30

a)

-34

b)

34

c)

-26

d)

26

64.

10 + c = 25

a)

-15

b)

15

c)

-35

d)

35

65.

x - 60 = 20

a)

-80

b)

80

c)

-40

d)

40

66.

x - 60 = 20

a)

-80

b)

80

c)

-40

d)

40

67.

g - 16 = 4

a)

-12

b)

12

c)

-20

d)

20

68.

x - 15 = -20

a)

-5

b)

5

c)

-35

d)

35

69.

w + 14 = 10

a)

-24

b)

24

c)

-4

d)

4

70.

r - 18 = 27

a)

-45

b)

45

c)

-9

d)

9

71.

13 + k = 25

a)

-12

b)

12

c)

-38

d)

38

72.

f - 16 = 34

a)

-18

b)

18

c)

-50

d)

50

73.

j + 17 = 19

a)

-2

b)

2

c)

-36

d)

36

74.

r - 16 = 5

a)

-11

b)

11

c)

-21

d)

21

75.

r - 16 = 5

a)

-11

b)

11

c)

-21

d)

21

76.

9 + t = 56

a)

-47

b)

47

c)

-65

d)

65

77.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

78.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

79.

144=12z

a)

z=20

b)

z=11

c)

z=12

80.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

81.

-7b=49

a)

B=7

b)

B=-7

c)

B=2

82.

-16+ x= -15

a)

2

b)

0

c)

-1

d)

1

83.

-16+ x= -15

a)

2

b)

0

c)

-1

d)

1

84.

18+m=8

a)

m=0

b)

m=10

c)

m=-10

d)

m=8

85.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

86.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

87.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

88.

7. -4y = 48

a)

x = -52

b)

x = -12

c)

x = -44

d)

x = -13

89.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

90.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

91.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

92.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

93.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

94.

$\frac{1}{9}$

a)

$.\overline{09}$

b)

.09

c)

.1

d)

$.\overline{1}$

95.

$\frac{3}{16}$

a)

$0.1875$

b)

$.\overline{1875}$

c)

$.18\overline{75}$

d)

$.187\overline{5}$

96.

$\frac{9}{11}$

a)

$.\overline{9}$

b)

.81

c)

.9

d)

$.\overline{81}$

97.

$\frac{2}{3}$

a)

.6

b)

$.\overline{3}$

c)

$.\overline{6}$

d)

.25

98.

$\frac{15}{16}$

a)

.9325

b)

.9575

c)

.9375

d)

.9525

99.

$\frac{1}{8}$

a)

.125

b)

.12

c)

125

d)

.15

100.

$\frac{5}{6}$

a)

.8333

b)

$.8\overline{3}$

c)

.83

d)

$.\overline{83}$

101.

$\frac{4}{5}$

a)

.8

b)

.2

c)

.6

d)

.4

102.

$\frac{1}{6}$

a)

$.\overline{16}$

b)

.16

c)

$.1\overline{6}$

d)

.1

103.

$\frac{2}{7}$

a)

$.\overline{142857}$

b)

$.0\overline{714285}$

c)

$0.285714$

d)

$.\overline{285714}$

104.

$\frac{1}{5}$

a)

.5

b)

.2

c)

.25

d)

.02

105.

$\frac{4}{7}$

a)

$.\overline{561428}$

b)

$.\overline{571428}$

c)

$.\overline{5071428}$

d)

$.\overline{5771428}$

106.

$\frac{3}{8}$

a)

.325

b)

.375

c)

.355

d)

.385

107.

$\frac{5}{8}$

a)

.675

b)

.655

c)

.625

d)

.65

108.

$\frac{6}{7}$

a)

$.\overline{875142}$

b)

$.\overline{85714}$

c)

.857142

d)

$.\overline{857142}$

109.

$\frac{5}{11}$

a)

.45

b)

$.\overline{5}$

c)

.5

d)

$.\overline{45}$

110.

$\frac{1}{2}$

a)

$.\overline{3}$

b)

.5

c)

$.1\overline{6}$

d)

.25

111.

$\frac{7}{8}$

a)

.857

b)

.855

c)

.875

d)

.825

112.

$\frac{4}{11}$

a)

.36

b)

$.\overline{4}$

c)

$.\overline{36}$

d)

.4

113.

$\frac{1}{10}$

a)

.01

b)

.1

c)

.

d)

1

114.

$\frac{2}{9}$

a)

$.\overline{2}$

b)

.2

c)

$.\overline{18}$

d)

.18

115.

$\frac{3}{4}$

a)

.75

b)

.25

c)

.5

d)

.7

116.

$\frac{5}{9}$

a)

$.\overline{45}$

b)

.45

c)

.5

d)

$.\overline{5}$

117.

$\frac{11}{16}$

a)

.6875

b)

.6625

c)

.6825

d)

.6675

118.

$\frac{8}{9}$

a)

$.\overline{72}$

b)

$.\overline{8}$

c)

.72

d)

.8

119.

$\frac{1}{11}$

a)

.1

b)

.09

c)

$.\overline{09}$

d)

$.\overline{1}$

120.

$\frac{9}{16}$

a)

.5225

b)

.5825

c)

.5425

d)

.5625

121.

$\frac{3}{5}$

a)

.15

b)

.3

c)

$.\overline{6}$

d)

.6

122.

$\frac{2}{11}$

a)

$.\overline{2}$

b)

.2

c)

.18

d)

$.\overline{18}$

123.

$\frac{1}{14}$

a)

$.07\overline{14285}$

b)

$.\overline{0714285}$

c)

$.0\overline{714285}$

d)

$.0\overline{71428}$

124.

$\frac{3}{11}$

a)

$.\overline{27}$

b)

.27

c)

.3

d)

$.\overline{3}$

125.

$\frac{4}{9}$

a)

.4

b)

$.\overline{4}$

c)

.36

d)

$.\overline{36}$

126.

$\frac{1}{4}$

a)

.4

b)

.2

c)

.5

d)

.25

127.

$\frac{6}{11}$

a)

$.\overline{54}$

b)

.54

c)

.6

d)

$.\overline{6}$

128.

$\frac{2}{5}$

a)

.25

b)

.2

c)

.4

d)

.6

129.

$\frac{1}{3}$

a)

$.\overline{3}$

b)

$.\overline{6}$

c)

.25

d)

.3

130.

$\frac{3}{7}$

a)

$.\overline{428571}$

b)

$.\overline{425871}$

c)

$.\overline{428751}$

d)

$.\overline{428517}$

131.

$\frac{8}{11}$

a)

.8

b)

.72

c)

$.\overline{72}$

d)

$.\overline{8}$

132.

$\frac{1}{12}$

a)

$.\overline{083}$

b)

$.08\overline{3}$

c)

$.0\overline{83}$

d)

$0.083$

133.

$\frac{5}{7}$

a)

$.\overline{712854}$

b)

$.\overline{7014285}$

c)

$.\overline{714285}$

d)

$.\overline{357014}$

134.

$\frac{13}{16}$

a)

.8325

b)

.8125

c)

.8375

d)

.8175

135.

$\frac{7}{12}$

a)

$583$

b)

$.5\overline{83}$

c)

$.\overline{583}$

d)

$.58\overline{3}$

136.

$\frac{10}{11}$

a)

$.\overline{90}$

b)

.9

c)

$.\overline{1}$

d)

.10

137.

$\frac{1}{7}$

a)

$.\overline{285714}$

b)

$\cdot0\overline{714285}$

c)

$.\overline{142857}$

d)

$.\overline{07142128}$

138.

$\frac{11}{12}$

a)

$.91\overline{6}$

b)

$.9\overline{16}$

c)

$.\overline{916}$

d)

$0.916$

139.

$\frac{5}{16}$

a)

$.\overline{3125}$

b)

.3125

c)

.3025

d)

$.\overline{3025}$

140.

$\frac{1}{15}$

a)

.06

b)

$.0\overline{6}$

c)

$.\overline{06}$

d)

.6

141.

$\frac{7}{11}$

a)

.63

b)

$.\overline{63}$

c)

.7

d)

$.\overline{7}$

142.

$\frac{1}{16}$

a)

$.06\overline{25}$

b)

$.062\overline{5}$

c)

.625

d)

.0625

143.

$\frac{5}{12}$

a)

$.4\overline{16}$

b)

$.\overline{416}$

c)

$.41\overline{6}$

d)

$0.416$

144.

$\frac{7}{9}$

a)

$.\overline{7}$

b)

.7

c)

.63

d)

$.\overline{63}$

145.

$\frac{7}{16}$

a)

$.\overline{4375}$

b)

.4275

c)

.4375

d)

$.\overline{4275}$

146.

$\frac{1}{9}$

a)

$.\overline{09}$

b)

.09

c)

.1

d)

$.\overline{1}$

147.

$\frac{3}{16}$

a)

$0.1875$

b)

$.\overline{1875}$

c)

$.18\overline{75}$

d)

$.187\overline{5}$

148.

$\frac{9}{11}$

a)

$.\overline{9}$

b)

.81

c)

.9

d)

$.\overline{81}$

149.

$\frac{2}{3}$

a)

.6

b)

$.\overline{3}$

c)

$.\overline{6}$

d)

.25

150.

$\frac{15}{16}$

a)

.9325

b)

.9575

c)

.9375

d)

.9525

151.

$\frac{1}{8}$

a)

.125

b)

.12

c)

125

d)

.15

152.

$\frac{5}{6}$

a)

.8333

b)

$.8\overline{3}$

c)

.83

d)

$.\overline{83}$

153.

$\frac{4}{5}$

a)

.8

b)

.2

c)

.6

d)

.4

154.

$\frac{1}{6}$

a)

$.\overline{16}$

b)

.16

c)

$.1\overline{6}$

d)

.1

155.

$\frac{2}{7}$

a)

$.\overline{142857}$

b)

$.0\overline{714285}$

c)

$0.285714$

d)

$.\overline{285714}$

156.

$\frac{1}{5}$

a)

.5

b)

.2

c)

.25

d)

.02

157.

$\frac{4}{7}$

a)

$.\overline{561428}$

b)

$.\overline{571428}$

c)

$.\overline{5071428}$

d)

$.\overline{5771428}$

158.

$\frac{3}{8}$

a)

.325

b)

.375

c)

.355

d)

.385

159.

$\frac{5}{8}$

a)

.675

b)

.655

c)

.625

d)

.65

160.

$\frac{6}{7}$

a)

$.\overline{875142}$

b)

$.\overline{85714}$

c)

.857142

d)

$.\overline{857142}$

161.

$\frac{5}{11}$

a)

.45

b)

$.\overline{5}$

c)

.5

d)

$.\overline{45}$

162.

$\frac{1}{2}$

a)

$.\overline{3}$

b)

.5

c)

$.1\overline{6}$

d)

.25

163.

$\frac{7}{8}$

a)

.857

b)

.855

c)

.875

d)

.825

164.

$\frac{4}{11}$

a)

.36

b)

$.\overline{4}$

c)

$.\overline{36}$

d)

.4

165.

$\frac{1}{10}$

a)

.01

b)

.1

c)

.

d)

1

166.

$\frac{2}{9}$

a)

$.\overline{2}$

b)

.2

c)

$.\overline{18}$

d)

.18

167.

$\frac{3}{4}$

a)

.75

b)

.25

c)

.5

d)

.7

168.

$\frac{5}{9}$

a)

$.\overline{45}$

b)

.45

c)

.5

d)

$.\overline{5}$

169.

$\frac{11}{16}$

a)

.6875

b)

.6625

c)

.6825

d)

.6675

170.

$\frac{8}{9}$

a)

$.\overline{72}$

b)

$.\overline{8}$

c)

.72

d)

.8

171.

$\frac{1}{11}$

a)

.1

b)

.09

c)

$.\overline{09}$

d)

$.\overline{1}$

172.

$\frac{9}{16}$

a)

.5225

b)

.5825

c)

.5425

d)

.5625

173.

$\frac{3}{5}$

a)

.15

b)

.3

c)

$.\overline{6}$

d)

.6

174.

$\frac{2}{11}$

a)

$.\overline{2}$

b)

.2

c)

.18

d)

$.\overline{18}$

175.

$\frac{1}{14}$

a)

$.07\overline{14285}$

b)

$.\overline{0714285}$

c)

$.0\overline{714285}$

d)

$.0\overline{71428}$

176.

$\frac{3}{11}$

a)

$.\overline{27}$

b)

.27

c)

.3

d)

$.\overline{3}$

177.

$\frac{4}{9}$

a)

.4

b)

$.\overline{4}$

c)

.36

d)

$.\overline{36}$

178.

$\frac{1}{4}$

a)

.4

b)

.2

c)

.5

d)

.25

179.

$\frac{6}{11}$

a)

$.\overline{54}$

b)

.54

c)

.6

d)

$.\overline{6}$

180.

$\frac{2}{5}$

a)

.25

b)

.2

c)

.4

d)

.6

181.

$\frac{1}{3}$

a)

$.\overline{3}$

b)

$.\overline{6}$

c)

.25

d)

.3

182.

$\frac{3}{7}$

a)

$.\overline{428571}$

b)

$.\overline{425871}$

c)

$.\overline{428751}$

d)

$.\overline{428517}$

183.

$\frac{8}{11}$

a)

.8

b)

.72

c)

$.\overline{72}$

d)

$.\overline{8}$

184.

$\frac{1}{12}$

a)

$.\overline{083}$

b)

$.08\overline{3}$

c)

$.0\overline{83}$

d)

$0.083$

185.

$\frac{5}{7}$

a)

$.\overline{712854}$

b)

$.\overline{7014285}$

c)

$.\overline{714285}$

d)

$.\overline{357014}$

186.

$\frac{13}{16}$

a)

.8325

b)

.8125

c)

.8375

d)

.8175

187.

$\frac{7}{12}$

a)

$583$

b)

$.5\overline{83}$

c)

$.\overline{583}$

d)

$.58\overline{3}$

188.

$\frac{10}{11}$

a)

$.\overline{90}$

b)

.9

c)

$.\overline{1}$

d)

.10

189.

$\frac{1}{7}$

a)

$.\overline{285714}$

b)

$\cdot0\overline{714285}$

c)

$.\overline{142857}$

d)

$.\overline{07142128}$

190.

$\frac{11}{12}$

a)

$.91\overline{6}$

b)

$.9\overline{16}$

c)

$.\overline{916}$

d)

$0.916$

End of the year Final Exam (Grade 10)

Total questions: 190

Worksheet time: 5hrs 24mins

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