Free Printable Question Bank for Grade 8 Mathematics

1.

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

a)

Larger

b)

Smaller

2.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

3.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

4.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

5.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

6.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

7.

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?

a)

1

b)

10

c)

100

d)

1,000

8.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

$5\ \times\ 10^{-4}$

c)

5 x 10³

d)

.5 x 10³

9.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

10.

Express the following in scientific notation:
0.0000002203

a)

.02203 x 10⁷

b)

22.03 x 10^-6

c)

2.203 x 10^-7

d)

22.03 x 106

11.

Which of the following is NOT true of scientific notation?

a)

The number in front must be between 1 and 9.9

b)

The exponent tells you how many times the decimal was moved

c)

It shortens big numbers

d)

It doesn't always contain x10

12.

Is this written in scientific notation?

a)

Yes, it is in scientific notation!

b)

No, it's not in scientific notation.

13.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

14.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

15.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

16.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

17.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

18.

(t^-6)^-5

a)

t^-11

b)

t^-30

c)

t³⁰

d)

t¹¹

19.

Simplify $\left(y^8\right)^9$

a)

$y^{72}$

b)

$9y^{72}$

c)

$9y^8$

d)

$y^{17}$

20.

Simplify $\left(5^3\right)^{10}$

a)

$25^3$

b)

$5^{13}$

c)

$25^{30}$

d)

$5^{30}$

21.

Simplify $\left(-7^2\right)^7$

a)

$\left(-49\right)^{14}$

b)

$\left(-7\right)^9$

c)

$\left(-7\right)^{14}$

d)

$\left(-49\right)^2$

22.

Simplify: $\ \left(y^3\right)^{-2}$

(Choose two answers)

a)

$y^5$

b)

$y^{-6}$

c)

$\frac{1}{y^6}$

d)

$\frac{y^3}{y^2}$

23.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

24.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

25.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

26.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

27.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

28.

$x^2y^0=$ Hint: the zero exponent is only applied to the letter y.

a)

1

b)

$x^2$

c)

0

d)

z

29.

x³⋅x² =

a)

x⁵

b)

x⁶

c)

x⁹

d)

x¹

30.

a)

b)

c)

d)

31.

Evaluate this expression using the quotient of powers rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

32.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

33.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

34.

n⋅n⁴⋅n⁵

a)

n¹⁰

b)

n⁴⁰

c)

n¹³

d)

n²²

35.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

36.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

37.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

38.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

supplementary

39.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

supplementary

40.

What is the measure of ∠2?

a)

$58^o$

Vertical angles

b)

$122^o$ supplementary

c)

$58^o$

Alternate Interior

d)

$122^o$

Alternate exterior

41.

What is the measure of ∠7?

a)

$58^o$

b)

$122^o$

c)

68

d)

128

42.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

43.

Given the two lines are parallel

Find the value of x.

a)

x = 133

b)

x = 47

44.

Find y.

a)

50

b)

130

45.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

46.

1) 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

47.

What is the Angle Relationship

a)

Alternate

b)

Vertically opposite

c)

Corresponding

d)

Co-interior

48.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

49.

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

50.

1) Given the two parallel lines cut by a transversal.

which angle is Alternate exterior to $\angle4$ ?

a)

$\angle2$

b)

$\angle6$

c)

$\angle8$

d)

$\angle7$

51.

Given $A\parallel B$ Which angles are congruent to $\angle8$

a)

$\angle1$

Alternate exterior angles

b)

$\angle3$

Alternate interior angles

c)

$\angle5$

Vertical angles

d)

$\angle4\$ Corresponding angles

52.

WHAT IS THE VALUE OF X?

a)

-7

b)

9.4

c)

7

d)

-9.4

53.

Find the measure of x

a)

35

b)

60

c)

85

d)

120

54.

The √40 is between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

55.

The √21 is between which two integers?

a)

5 and 6

b)

20 and 22

c)

4 and 5

d)

10 and 11

56.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

57.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

58.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

59.

Square root is the inverse of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

60.

If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?

a)

12

b)

13

c)

14

d)

15

61.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

62.

Which of the following is not a perfect square?

a)

110

b)

4

c)

1

d)

81

63.

What is the area of a square with a side of 12?

a)

144

b)

24

c)

48

d)

6

64.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

65.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

66.

12) Which pair of numbers are both between 6 and 7?

a)

b)

c)

d)

67.

Between which 2 consecutive numbers on the number line does the square root of 23 lie?

a)

-5 and -4

b)

-2 and -1

c)

2 and 3

d)

4 and 5

68.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

69.

Solve $8y+3=27$

a)

$y=3$

b)

$y=-3$

c)

$y=\frac{15}{4}$

d)

$y=16$

70.

Solve $9a+4=40$

a)

$a=4$

b)

$a=\frac{44}{9}$

c)

$a=27$

d)

$a=35$

71.

Solve $2\left(5x-3\right)=14$

a)

$x=2$

b)

$x=\frac{17}{10}$

c)

$x=\frac{31}{5}$

d)

$x=\frac{4}{5}$

72.

Solve $5\left(3x-1\right)=40$

a)

$x=3$

b)

$x=\frac{7}{3}$

c)

$x=\frac{41}{15}$

d)

$x=30$

73.

Solve $3\left(5x-13\right)=21$

a)

$x=4$

b)

$x=55$

c)

$x=26$

d)

$x=\frac{34}{15}$

74.

Solve $4\left(3x-1\right)=20$

a)

$x=2$

b)

$x=14$

c)

$x=3$

d)

$x=\frac{21}{12}$

75.

a)

2

b)

4

c)

6

d)

8

76.

a)

5

b)

6

c)

7

d)

8

77.

Solve the following equation,
x + 7 = 28

a)

x = 35

b)

x = 4

c)

x = 196

d)

x = 21

78.

Solve the following equation,

x + 4 = 25

a)

x = 29

b)

x = 100

c)

x = 5

d)

x = 21

79.

Solve the equation:

7x = 21

a)

x = 14

b)

x = 28

c)

x = 3

d)

x = 147

80.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

81.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

82.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

83.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

84.

18 + n = 31

a)

13

b)

49

85.

Solve the equation:
$x-3=-12$

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

86.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

87.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

88.

Solve: 3(x-2)=18

a)

6.7

b)

4

c)

8

d)

-4

89.

Which expression represents a negative number?

a)

5 − (-6)

b)

-12 ÷ -6

c)

(-3)³

d)

(-2)×(-4)

90.

What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

91.

What is the measure of < x in degrees?

a)

53

b)

60

c)

67

d)

113

92.

0.5(x - 3) = 7.5

What is the solution to this equation?

a)

5

b)

18

c)

45

d)

11

93.

What is the slope of this line?

a)

1/5

b)

1/3

c)

3/1

d)

2/5

94.

Which expression is equivalent to –15x + 6?

a)

–3(5x – 2)

b)

–3(5x + 6)

c)

3(-5x – 2)

d)

3(5x + 6)

95.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

96.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

97.

−x²+2−1+6x²−4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

98.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

99.

The angle measures of a triangle are shown in the diagram. What is the value of x ?

a)

25

b)

20

c)

10

d)

28

100.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

101.

WHAT IS THE VALUE OF X?

a)

16

b)

11.4

c)

0

d)

-16

102.

WHAT IS THE VALUE OF X?

a)

-7

b)

9.4

c)

7

d)

-9.4

103.

3. Find x, the missing side length in the right triangle. (number answer only)

(a)

104.

13. Find x, the missing side length of the right triangle. (answer with the number only round to the nearest 10th)

(a)

105.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

106.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

107.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

108.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

109.

If point H(–6, 2) is translated 4 units up and 3 units right, what are the coordinates of the translated image?

a)

(-2, 5)

b)

(-3, 6)

c)

(-9, -2)

d)

(-9, 6)

110.

Point N(6, –5) is reflected across the

x-axis. What are the coordinates of the image?

a)

(-6, -5)

b)

(-5, 6)

c)

(5, -6)

d)

(6, 5)

111.

Suppose triangle RST shown on the

coordinate grid is reflected across the y-axis. Which ordered pair does not represent a vertex of the reflected triangle?

a)

(5, 1)

b)

(-4, -2)

c)

(2, -4)

d)

(-2, 4)

112.

Triangle LMN has vertices L(–1, 4), M(–2, 4), and N(–1, –1). What are the coordinates of the image of point M after a dilation with a scale factor of 3?

a)

(-6, 12)

b)

(-6, 4)

c)

(-2, 12)

d)

(12, -6)

113.

If the figure is rotated 90 degrees clockwise, what are the coordinates of R?

a)

(-3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(3, 3)

114.

Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?

a)

R'(–5, 1), S'(–1, 1), and T'(–1, –4)

b)

R'(–5, –1), S'(3, –1), and T'(–1, –4)

c)

R'(–1, –1), S'(3, –1), and T'(3, –6)

d)

R'(–5, –1), S'(–1, –1), and T'(–1, –6)

115.

Point A(3, 5) was dilated, and the point after dilation was A’(6, 10). What was the scale factor used?

a)

1/2

b)

2

c)

1

d)

3

116.

What scale factor was used for the dilation shown?

a)

1/2

b)

1

c)

2

d)

3

117.

The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?

a)

(-3, 4)

b)

(3, -4)

c)

(-3, -4)

d)

(3, 4)

118.

Point W is located at (7, 3) on a coordinate plane. Point W is translated 2 units to the left and 3 units up. What are the coordinates of the image point W′?

a)

(10, 1)

b)

(9, 0)

c)

(5, 6)

d)

(4, 1)

119.

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)

d)

(x-2, y+9)

120.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

121.

How was B translated to B' if B' is at (4, -2)?

a)

Translated 6 units down

b)

Translated 2 units to the left and 6 units down

c)

Translated 2 units to the right and 6 units down

d)

Translated 2 units to the right

122.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

123.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

124.

Classify the following:
$\sqrt{64}$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

125.

Classify the following:

$\frac{3}{4}$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

126.

Is the following rational?

$\sqrt{2}$

a)

Yes

b)

No

c)

Sometimes

d)

Um...

127.

Classify the following:
$-17$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

128.

Is the following irrational?
$-96.\overline{33}$

a)

Yes

b)

No

c)

Sometimes

d)

I wanna say "Larry"...

129.

Classify the following:
$\pi$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

130.

Classify the following:

$0.525$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

131.

Which of the following numbers is not rational?

a)

$-3$

b)

$2.7$

c)

$\sqrt{4}$

d)

$\sqrt{5}$

132.

Which of the following is an irrational number?

a)

$\sqrt{0}$

b)

$\sqrt{3}$

c)

$1\overline{.36}$

d)

$-0.19$

133.

Which of the following number is rational?

a)

$\sqrt{127}$

b)

$\pi$

c)

$2.5$

d)

$8.98763...$

134.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

135.

125

a)

Is a perfect square.

b)

Is not a perfect square.

136.

244

a)

Is a perfect square.

b)

Is not a perfect square.

137.

5²

a)

16

b)

25

c)

20

d)

10

138.

4²

a)

8

b)

15

c)

18

d)

16

139.

What types of angles are Angle X and Angle Y?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

140.

What types of angles are Angle X and Angle Y?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

141.

What types of angles are Angle X and Angle Y

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

142.

What types of angles are Angle X and Angle Y

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Corresponding Angles

143.

What types of angles are Angle X and Angle Y

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

144.

Find the measure of the angle with "?".

a)

111 degrees

b)

69 degrees

145.

Find the value of x.

a)

7

b)

8

c)

6

d)

5

146.

Find the value of x.

a)

6

b)

7

c)

8

d)

9

147.

Find the exact measures of the given angles.

(a)

148.

Find the exact measures of the given angles.

(a)

149.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

150.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

151.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

152.

What angle corresponds to angle 6?

a)

angle 2

b)

angle 4

c)

angle 7

d)

angle 8

153.

What angle is the same side interior angle to angle 4?

a)

angle 3

b)

angle 5

c)

angle 6

d)

angle 8

154.

Name a pair of alternate exterior angles.

a)

angle 1 & angle 2

b)

angle 2 & angle 7

c)

angle 1 & angle 7

d)

angle 1 & angle 8

155.

Name a pair of alternate interior angles.

a)

angle 3 & angle 4

b)

angle 5 & angle 6

c)

angle 3 & angle 6

d)

angle 3 & angle 5

156.

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

157.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

158.

If angle 1 is 135 degrees, how many degrees is angle 3?

a)

45 degrees

b)

65 degrees

c)

135 degrees

d)

225 degrees

159.

Find m ∠C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

160.

Find m∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

161.

Find L

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

162.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

163.

Find the missing angle measure and state the name of the pair of angles.

a)

124 degrees; Corresponding angles

b)

56 degrees; Corresponding angles

c)

124 degrees; Same-side interior angles

d)

56 degrees; Same-side interior angles

164.

Find the missing angle measure and name the pair of angles.

a)

79 degrees; Vertical Angles

b)

101 degrees; Linear Pair

c)

79 degrees; Corresponding Angles

d)

101 degrees; Alternate Interior Angles

Question Bank for Grade 8 Mathematics

Total questions: 164

Worksheet time: 4hrs 46mins

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