Free Printable Question Bank for Grade 7 Mathematics

1.

y=kx. What does the k represent?

a)

constant of proportionality

b)

multiplier

c)

unit rate

d)

all of the above

2.

Is this table proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

3.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

4.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

d)

y=x

5.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

6.

This equation does not show a proportional relationship. Why?

a)

Doesn't go through point of origin (0,0)

b)

Not a straight line

7.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

8.

The constant of proportionality can be found by finding the _ (a)

Choose from the below words

unit rate

ratio rate

proportion answer

9.

What makes a graph proportional? Select two answers.

(a) (b)

Choose from the below words

straight line through point of origin (0, 0)

has a constant of proportionality

a line that connects the dots

has x-axis and y-axis

10.

A proportional relationship can be written as an equation in the form =

a)

y = k+x

b)

y = k/x

c)

y = kx

11.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

12.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

13.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

14.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

15.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

16.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

17.

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

a)

120 miles

b)

200 miles

c)

10 miles

d)

40 miles

18.

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal computer?

a)

7 homes

b)

39 homes

c)

73 homes

d)

40 homes

19.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

20.

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

a)

3

b)

6

c)

9

d)

12

21.

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

a)

2

b)

4

c)

6

d)

8

22.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 1,200 people are in line?

a)

120 min

b)

140 min

c)

160 min

d)

180 min

23.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

24.

Which is the better buy?

Sargento cheese slices $2.48 for 10 slices or Velveeta Cheese slices $3.18 for 12 slices Find the unit price for each and choose the better deal.

a)

Sargento

b)

Velveeta

25.

The car travels 440 miles in 8 hours. What is the unit rate?

a)

12 miles in 1 hour

b)

55 miles in 1 hour

c)

110 miles in 1 hour

d)

44 miles in 1 hour

26.

What is a complex fraction?

a)

A really hard fraction to figure out

b)

A fraction with a fraction in the numerator, denominator, or both

c)

A fraction multiplied by a decimal

d)

A fraction with an exponent

27.

Simplify the complex fraction shown.

a)

9/40

b)

40/9

c)

10/36

d)

5/18

28.

Simplify the complex fraction.

a)

18

b)

1/18

c)

9/72

d)

1/8

29.

Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?

a)

2 ac./hr.

b)

1/2 ac./hr.

c)

9/24 ac./hr.

30.

If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?

a)

1/40

b)

5/18

c)

1 1/2

d)

3 3/5

31.

What's the solution to the following equation?

4x - 6 = 2

a)

x = -1

b)

x = 2

c)

x = 4

d)

x = 12

32.

What is the solution to the following equation?

- 2x + 12 = 20

a)

x = 4

b)

x = 8

c)

x = - 4

d)

x = - 6

33.

Solve the following inequality.

2x + 6 > 8

a)

x > 1

b)

x < 1

c)

x > 7

d)

x > 2

34.

Solve the following inequality.

-3x + 2 > 11

a)

x > 3

b)

x < 3

c)

x > - 3

d)

x < - 3

35.

Given the following model, write the inequality and find the solution.

a)

x > 1

b)

x > 3

c)

x > 1

d)

x > 3

36.

Given the following model, write the equation and find the solution.

a)

x = 1

b)

x = 4

c)

x = 2

d)

x = 3

37.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

38.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

39.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

40.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

41.

Is 7 a solution to the inequality below?
d + 2 < 6

a)

Yes

b)

No

42.

Is 9 a solution to the inequality below?
4k ≥ 36

a)

Yes

b)

No

43.

Four times a number increased by 7 is at most 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

44.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

45.

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

a)

$3x$

b)

15

c)

$18x$

d)

$3x+15$

46.

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

a)

$3x$

b)

$-2x$

c)

$3x-15$

d)

$3x-2$

47.

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

a)

4

b)

16

c)

4x

d)

12

48.

2 (9 + 2g)

(a)

49.

Use the distributive property to simplify:

5(4x - 7)

a)

20x - 35

b)

5x - 35

c)

20x + 35

d)

20x - 7

50.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

51.

-2(3x - 8)

a)

-6x + 16

b)

-6x - 16

c)

6x - 8

d)

-5x - 10

52.

-10(2 - 6p)

a)

-20 + 60p

b)

20 + 60p

c)

-20 - 60p

d)

20 - 60p

53.

-5(3x - 14)

a)

-15x - 70

b)

15x - 70

c)

15x + 70

d)

-15x + 70

54.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

55.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

56.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

57.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

58.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

59.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

60.

What is the definition of an opposite?

a)

The distance a number is to zero

b)

A number with the same digit(s) but opposite sign

61.

What is the opposite of -12

a)

12

b)

-12

c)

0

62.

What is the opposite of 23

a)

23

b)

-23

c)

2/3

d)

0

63.

What is the opposite of 0

a)

-0

b)

+0

c)

0

d)

There is no opposite

64.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

65.

20 degree drop in temperature

a)

-20

b)

20

66.

Increase of $4 per hour

a)

$4 per hour

b)

-$4 per hour

67.

A withdrawal of $15

a)

$15

b)

-$15

68.

Descending 20 meters into the ocean

a)

20 meters

b)

-20 meters

69.

-2 - (-8)

a)

6

b)

-6

c)

-10

d)

10

70.

0 - 16

a)

16

b)

0

c)

-16

d)

5

71.

18 - (-4)

a)

-22

b)

4

c)

22

d)

-4

72.

-22 + -9

a)

-22

b)

22

c)

-31

d)

31

73.

-20+(-11)

a)

31

b)

9

c)

-9

d)

-31

74.

-12 + 9

a)

21

b)

3

c)

-3

d)

-21

75.

-7 x 4

a)

24

b)

28

c)

-28

d)

-24

76.

-27 ÷ -9

a)

0

b)

-0

c)

3

d)

-3

77.

-6 x 7

a)

42

b)

-42

c)

48

d)

-48

78.

-9 + 9

a)

18

b)

-18

c)

0

d)

81

79.

-8 - 6

a)

-2

b)

2

c)

-14

d)

14

80.

5 - (-12)

a)

-7

b)

7

c)

17

d)

-17

81.

- 2 + - 9

a)

-11

b)

11

c)

-7

d)

7

82.

-6 x 7

a)

42

b)

-42

c)

48

d)

-48

83.

-20+(-11)

a)

31

b)

9

c)

-9

d)

-31

84.

-10+4

a)

-14

b)

14

c)

-6

d)

6

85.

72 ÷ -3

a)

24

b)

-24

c)

-32

d)

32

86.

-10(4)

a)

40

b)

-14

c)

-40

d)

14

87.

-22 ÷ -11

a)

2

b)

-2

c)

44

d)

-44

88.

(-63) ÷ 7

a)

-9

b)

9

c)

-70

d)

-56

89.

-30 ÷ -10=

a)

-30

b)

-3

c)

3

d)

30

90.

Is the product positive or negative?
–8 • 3

a)

negative

b)

positive

c)

both

d)

neither

91.

If I divide two negatives, will my quotient be positive or negative?

a)

Negative

b)

Positive

92.

-10 + (-10)

a)

0

b)

20

c)

-20

d)

10

93.

0 - (-99)

a)

0

b)

-0

c)

99

d)

-99

94.

-3 - (-2)

a)

5

b)

-5

c)

1

d)

-1

95.

-8 - 8 =

a)

16

b)

0

c)

-16

d)

9

96.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

97.

What shape is the base? What is the area of the base (B)?

a)

Rectangle; 60in²

b)

Triangle; 12 in²

c)

Rectangle; 32 in²

d)

Triangle; 6 in²

98.

What is the volume?

a)

160 in³

b)

60 in³

c)

192 in³

d)

48 in³

99.

a)

40 cm³

b)

11 cm

20 cm²

c)

20 cm³

d)

30 cm³

100.

Find the volume:

a)

960 cm³

b)

240 cm³

c)

480 cm ³

d)

1920 cm³

101.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

102.

Calculate the Volume

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

103.

What is the volume of this prism?

a)

16 cubic cm

b)

36 cubic cm

c)

144 cubic cm

d)

72 cubic cm

104.

What is the volume of this triangular prism?

a)

576 cm³

b)

288 cm³

c)

333 cm³

d)

28 cm³

105.

Find the volume

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

106.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$200 earned for every 2 hours worked
is the unit rate

c)

$500 is earned for every 8 hours worked

d)

$300 is earned after working 4 hours

107.

Is the given table a proportional relationship? If so, what is the constant?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

108.

What is the constant of proportionality for the following graph?

a)

80

b)

20

c)

40

d)

160

109.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

110.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

111.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

112.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

113.

Which of the following statements is TRUE about the graph? Choose all that apply.

a)

The point (2, 8) shows that 8 pounds of cheese cost$2.00.

b)

The point (1.5, 6) shows the cost is $6.00 for 1.5pounds of cheese.

c)

The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

d)

The point (0.25, 1) shows the cost is $0.25 for 1pound of cheese.

e)

The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

114.

Write an equation that represents the relationship between the weight(x) and the cost(y).

a)

y = 1/2 x

b)

y = 1/4 x

c)

y = 2x

d)

y = 4x

115.

Which of the tables above represents a proportional relationship?

a)

a & c

b)

a, b & c

c)

a, c & d

d)

all of them

116.

Translate the statement into an equation:

Five less than a number is 6

a)

n - 5 = 6

b)

5 - n = 6

c)

6 - 5 = 1

117.

What is the solution of 6d = 24

a)

d = 4

b)

d = 5

c)

d = 18

d)

d = 144

118.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

119.

x + 12 = -20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

120.

u/4=12

a)

u = 3

b)

u = 8

c)

u = 16

d)

u = 48

121.

Solve:

-4x = 24

a)

x = 6

b)

x = -6

c)

x = 20

d)

x = 28

122.

Translate the sentence into an equation:

The product of a number and two-thirds is 24.

a)

2/3 + x = 24

b)

2/3 x = 24

c)

3/2 x = 24

d)

x + 2/3 = 24

123.

Translate the statement into an equation:
6 less than twice a number is 4

a)

2n - 6 = 4

b)

6 - 2n = 4

124.

Two more than 4 times a number is -18.

a)

4x + 2 = -18

b)

2x + 4 = -18

c)

18 = 4x + 2

125.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

126.

Solve:

3x + 7 = -8

a)

x = -5

b)

x = 5

c)

x = -12

d)

x = -18

127.

Solve for x:

8x - 10 = -34

a)

x = 4

b)

x = 3

c)

x = -3

d)

x = -24

128.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

129.

^a⁄₃+ 7= 13

a)

a= 2

b)

a= 6

c)

a= 18

d)

a= 20

130.

²/₃ x - 4 = -10

a)

21

b)

-4

c)

9

d)

-9

131.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

132.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

133.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

134.

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

135.

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.

136.

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°

137.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

138.

a)

15

b)

16

c)

18

d)

19

139.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

140.

Find the value of x.

a)

14

b)

60

c)

35

d)

180

141.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

142.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

143.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?

a)

3 m

b)

9.42 m

c)

12 m

d)

18.84 m

144.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

145.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

146.

What is the area of this circle?

a)

6082.12

b)

1519.76

c)

1893.14

d)

1292.92

147.

What is the area of this circle?

a)

82.13

b)

78.5

c)

314.16

d)

170.12

148.

Find the circumference of a circle with a diameter of 11 millimeters.

a)

34.6 mm

b)

30 mm

c)

25.3 mm

d)

34.54 mm

149.

what is the area of a circle with the diameter of 16 cm ?

a)

66 cm

b)

200.96 cm

c)

66.5 cm

d)

10 m

150.

Find the circumference of a circle with a radius of 13.5 mm.

a)

37.68mm

b)

18.84mm

c)

84.78 mm

d)

none of the above

151.

a)

A

b)

B

c)

C

d)

D

152.

a)

A

b)

B

c)

C

d)

D

153.

a)

A

b)

B

c)

C

d)

D

154.

a)

A

b)

B

c)

C

d)

D

155.

Find the missing angle.

a)

151

b)

147

c)

118

d)

62

156.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

157.

Find the missing angle.

a)

122

b)

58

c)

115

d)

123

158.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

159.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

90 degrees

d)

360 degrees

160.

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

Question Bank for Grade 7 Mathematics

Total questions: 160

Worksheet time: 15hrs 55mins

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