Free Printable Question Bank for Grade 8 Mathematics

1.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

2.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

3.

.

a)

Function

b)

Not a Function

4.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

5.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

6.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

7.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

8.

The __ - axis is vertical in the coordinate plane.

a)

X

b)

Y

c)

Z

d)

None of the above

9.

What is happening in the graph between 30 and 40 minutes?

a)

Sarah is accelerating

b)

Sarah is not moving

c)

Sarah is slowing down

d)

Sarah is travelling at a constant speed

10.

Which axis runs horizontally?

a)

x

b)

y

11.

Describe the motion in the graph:

a)

Constant Speed (positive slope)

b)

Stopped (at rest)

c)

Acceleration (increasing speed)

d)

Return Home (negative slope)

12.

Which scene matches the graph?

a)

Jonathon walked to his girlfriends house - stayed a while then walked home

b)

Justice rode her bike to the mall

c)

Yeshua walked home from school

13.

a)

A

b)

B

c)

C

d)

D

14.

What is the y-intercept? y= 4x+2

a)

2

b)

4

c)

y

d)

4x

15.

What is the slope? y= -3x+5

a)

-3

b)

3

c)

-3x

d)

5

16.

What is the y-intercept?
y=4x

a)

4

b)

0

c)

-4

d)

4x

17.

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the y-intercept

a)

8 inches of snow falls in 3 hours.

b)

3 inches of snow falls in 8 hours.

c)

When we started measuring, there were already 8 inches of snow on the ground.

d)

Every hour, 3 new inches of snow accumulates.

18.

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the slope,

a)

8 inches of snow falls in 3 hours.

b)

3 inches of snow falls in 8 hours.

c)

When we started measuring, there were already 8 inches of snow on the ground.

d)

Every hour, 3 new inches of snow accumulates.

19.

The graph shows the weight of a bucket as it is filled with sand. What is the weight of the empty bucket?

a)

0 pounds

b)

1 pound

c)

2 pounds

d)

6 pounds

20.

a)

A

b)

B

c)

C

d)

D

21.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

22.

What is b if the line has a slope of -3 and passes through the point (2,0)?

a)

6

b)

-3

c)

2

d)

-6

23.

What is the y-intercept when the line passes through the points (-6,1) and (6,9)?

a)

5

b)

0

c)

³⁄₅

d)

what is the y-intercept

24.

Simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

25.

Simplify $3\ \left(x+5\right)$

a)

$3x$

b)

15

c)

$18x$

d)

$3x+15$

26.

$\ Simplify\ \ \ \ 3\left(x-5\right)$

a)

$3x$

b)

$-2x$

c)

$3x-15$

d)

$3x-2$

27.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

28.

Simplify: 2 (9 + 2g)

(a)

29.

Use the distributive property to simplify:

5(4x - 7)

a)

20x - 35

b)

5x - 35

c)

20x + 35

d)

20x - 7

30.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

31.

-2(3x - 8)

a)

-6x + 16

b)

-6x - 16

c)

6x - 8

d)

-5x - 10

32.

-10(2 - 6p)

a)

-20 + 60p

b)

20 + 60p

c)

-20 - 60p

d)

20 - 60p

33.

-5(3x - 14)

a)

-15x - 70

b)

15x - 70

c)

15x + 70

d)

-15x + 70

34.

Square root is the inverse of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

35.

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

36.

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

a)

True

b)

False

37.

Evaluate ∛216

(a)

38.

Evaluate ∛512

(a)

39.

$9^2=18$ True or false?

a)

True

b)

False

40.

Rewrite: 4^-3

a)

$\frac{1}{4^3}$

b)

$\frac{1}{4^{-3}}$

c)

$4^3$

d)

$\frac{1}{-4^3}$

41.

Rewrite: 7^-5

a)

$7^5$

b)

$\frac{1}{7^{-5}}$

c)

$\frac{1}{7^5}$

d)

$\frac{1}{-7^5}$

42.

$m^{-5}\times\ m^{-2}$ Simplify. Hint: Use product rule first, then negative rule!

a)

$m^{-3}$

b)

$m^7$

c)

$\frac{1}{m^7}$

d)

$\frac{1}{m^3}$

43.

Simplify. Hint: do quotient rule first then negative rule!

\frac{x^3}{x^8}

a)

$x^5$

b)

$\frac{1}{x^5}$

c)

$x^{11}$

44.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

45.

$8^{-6\ }\cdot\ 8^9$

a)

$\frac{1}{8^{15}}$

b)

$\frac{1}{8^3}$

c)

$8^{15}$

d)

$8^3$

46.

$\frac{b^2}{b^5}$

a)

$b^3$

b)

$\frac{1}{b^3}$

c)

$b^7$

d)

$b^{10}$

47.

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

48.

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

49.

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

50.

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

51.

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

52.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

53.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

54.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

55.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

56.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

-4.8×10^-7

57.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

58.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

59.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

60.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

61.

Find the slope

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

62.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

63.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

64.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

65.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

66.

find the slope

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

67.

5/2

a)

Rational

b)

Irrational

68.

√31

a)

Rational

b)

Irrational

69.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

70.

Which number is rational?

a)

∛51

b)

√94

c)

∛12

d)

√64

71.

A square root of a perfect square is which type of number?

a)

Rational

b)

Irrational

72.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

73.

Which set is in descending order? (Hint: Convert the fractions and percents into their decimal form)

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

74.

4π

a)

rational

b)

irrational

75.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

76.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

77.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

78.

solve for c

a)

7

b)

9

c)

4

d)

13

79.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

80.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

81.

Casey 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 her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

82.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

83.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

84.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

85.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

86.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

87.

$\sqrt{16}$

a)

8

b)

2

c)

4

d)

32

88.

$9^2=18$ True or false?

a)

True

b)

False

89.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

90.

$\sqrt{-144}$

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

91.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

92.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

93.

$-6^2$ = ?

a)

36

b)

-36

c)

12

d)

-12

94.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

95.

Solve for x when $x^3=\frac{1}{8}$

a)

2

b)

$\frac{1}{64}$

c)

$\frac{1}{3}$

d)

$\frac{1}{2}$

96.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

97.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

98.

Which of the following is irrational?

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{81}$

d)

$\sqrt{121}$

99.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

100.

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

101.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

102.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: $\frac{h^8}{h^5}$

a)

add

b)

subtract

c)

multiply

d)

divide

103.

Simplify: (-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

104.

Simplify: (2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

105.

$Simplify:\ \frac{8^7}{8^2}$

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

106.

Simplify

x⁻⁶

a)

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

b)

x⁶

c)

-x⁶

d)

$\frac{1}{x^{-6}}$

107.

Simplify
x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

108.

Which two exponent rules do you need to use to simplify this expression?

a)

Product Rule (add exponents) and Quotient Rule (subtract exponents)

b)

Power to a Power Rule (multiply exponents) and Negative Exponent Rule (rewrite as a fraction).

c)

Power to a Power Rule (multiply exponents) and Product Rule (add exponents)

d)

Zero Rule (equals 1) and Power to a Power Rule (multiply the exponents)

109.

In 2³what is the exponent?

a)

2

b)

3

c)

2³

110.

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

111.

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

112.

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

113.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

114.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

115.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

116.

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

117.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = −3

c)

infinitely many solutions

d)

no solutions

118.

Solve the following equation:

−6x + 2= −6x + 2

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

119.

Solve the following equation:

4x + 1 = 8x − 3

a)

x = 1

b)

x = 2

c)

infinitely many solutions

d)

no solutions

120.

What does it mean when an equation has one solution?

a)

the equation is always TRUE when any value is substituted in for the variable

b)

the equation will NEVER be true when any value is substituted in for the variable

c)

only ONE solution will make the equation true

121.

What does it mean when an equation has infinitely many solutions?

a)

"To infinity and beyond"

b)

the equation is always TRUE when any value is substituted in for the variable

c)

the equation will NEVER be true when any value is substituted in for the variable

d)

only ONE solution will make the equation true

122.

What does it mean when an equation has no solution?

a)

the equation will NEVER be true when any value is substituted in for the variable

b)

the equation is always TRUE when any value is substituted in for the variable

c)

only ONE solution will make the equation true

123.

Rate your level of understanding for solving equations with one solution, infinitely many solutions, and no solutions.

a)

I don't understand what to do.

b)

I somewhat understand, but I need more practice.

c)

I somewhat understand, but I need additional help.

d)

I understand what to do and feel confident.

124.

How do you find the volume of a cylinder?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

125.

How do you find the volume of a cone?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

126.

How do you find the volume of a sphere?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

127.

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

a)

80π mm³

b)

160π mm³

c)

10,666.66π mm³

d)

85,333.33π mm³

128.

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

a)

377 cubic feet

b)

942 cubic feet

c)

2,958 cubic feet

d)

3,768 cubic feet

129.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup in terms of π?

a)

14π cubic inches

b)

63π cubic inches

c)

21π cubic inches

d)

84π cubic inches

130.

What is the volume of the sphere? Use 3.14 for π.

a)

130.83 m³

b)

392.5 m³

c)

523.6 m³

d)

294.375 cm³

131.

Find the volume to the nearest hundredth using 3.14 for π.

a)

12.56 ft³

b)

37.68 ft³

c)

50.24 ft³

d)

6.28 ft³

132.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

a)

4239 in³

b)

423.9 in³

c)

1695.6 in³

d)

1695.6 in²

133.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

134.

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

a)

502.4 in³

b)

167.5 in³

c)

251.2 in³

d)

83.7 in³

135.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

136.

Ice cream is served on a cone with a height of 7 cm and a diameter is 6 cm . What is the radius of the cone?

a)

63 cm

b)

3 cm

c)

197.82 cm

d)

791.28 cm

137.

What is the difference between a cone and a cylinder?

a)

They have the same shape base.

b)

A cylinder is a third the size of a cone with the same base.

c)

Their formulas for volume are identical.

d)

A cone is a third the size of a cylinder with the same base.

138.

Determine the volume of the hemisphere. Its radius is 7cm.

a)

171.5π cm³

b)

914.66π cm³

c)

228.66π cm³

d)

457.3π cm³

139.

A jar of jam has a diameter of 6 cm and a height of 8 cm. If the jar is half full, then what is the volume of the jam in the jar?

a)

75.36 cm³

b)

452.16 cm³

c)

226.08 cm³

d)

113.04 cm³

140.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.

a)

7234.6 cm³

b)

7984.6 cm³

c)

8934.4 cm³

d)

6034.7 cm³

141.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

142.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

143.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

144.

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

145.

The number of siblings you have and your weight.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

146.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

147.

As x increases, y increases

a)

correlation coefficient

b)

causation

c)

positive correlation

d)

negative correlation

148.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

149.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

150.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

151.

If a scatterplot has no association then...

a)

...it has no ordered pairs

b)

...it has ordered pairs that have a negative pattern

c)

...its ordered pairs have no predictable pattern

d)

...if it makes a lion on a graph (roar!)

152.

In a scatterplot, an outlier...

a)

...is something we didn't learn 8th grade

b)

...is a puppet with a long nose named Pinocchio

c)

...is a point that is far outside the main cluster of points/ordered pairs

d)

...is a really naughty point who doesn't tell the truth when outside

153.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

154.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

155.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

65

b)

92

c)

70

d)

76

156.

What type of association does this scatter plot represent?

a)

positive linear association

b)

negative association

c)

no association

d)

nonlinear association

157.

About how many male math teachers were there in 2006?

a)

15

b)

30

c)

35

d)

45

158.

What represents the x axis?

a)

ABC Company

b)

Hours Worked

c)

Amount Earned in Dollars

d)

Hours in Car

159.

A trucking company keeps track of the number of miles each of its drivers logs each week. Describe the correlation between the number of miles a driver logs and the drivers age.

a)

There is a positive correlation.

b)

There is a negative correlation.

c)

There is no correlation.

d)

There is a parallel correlation

160.

a)

14 cm

b)

5.6 cm

c)

10 cm

d)

17.5 cm

Question Bank for Grade 8 Mathematics

Total questions: 160

Worksheet time: 6hrs 3mins

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