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Worksheets

6th Grade PM3 Review 2024

Total questions: 174

Worksheet time: 6hrs 27mins

Name
Class
Date
1.

Graph the point (-6, 4)

2.

Graph the point (0,-5)

3.

Match the following ordered pairs with the quadrant where they can be found.

a)

(4,3)

1.

Quadrant I

b)

(-9,7)

2.

Quadrant II

c)

(-5,-2)

3.

Quadrant III

d)

(8,-5)

4.

Quadrant IV

4.

If the first number in an ordered pair is -5, you will go​ (a)  

Choose from the below words
left
right
up
down
5.
Which axis runs horizontally?
a)
x
b)
y
6.
Which axis runs vertically?
a)
x
b)
Y
7.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
8.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
9.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
10.
What letter is located at (5, 7)
a)
A
b)
B
c)
C
d)
D
11.
In what order to you follow ordered pairs?
a)
vertex first then y
b)
y first then x
c)
none of these
d)
x first then y
12.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
13.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
14.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
15.

Which quadrant is (-4,5) in?

a)

Q 1

b)

Q 2

c)

Q 3

d)

Q 4

16.

select all negative numbers

a)

2

b)

-1

c)

0

d)

-20

17.

Ashley has -20 dollars and Tim has 2 dollars and Bella has 10 dollars and Lizzy has -10 dollar what would the answer be if they were put least to greatest on the number line

a)

2,10,-10,-20

b)

2,-20,10,-10

c)

10,-20,-10,2

d)

-20,-10,2,10

18.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
19.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
20.
A number GREATER than 0.
a)
positive number
b)
negative number
c)
integer
d)
signed number
21.
Express an integer: a debt of $50
a)
50
b)
-50
22.

What is the opposite of the integer on the number line?

a)

0

b)

-7

c)

7

d)

1

23.

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

24.

Find the absolute value of -17.

17\left|-17\right|  

a)

17\left|17\right|  

b)

-17

c)

17

25.

Find the absolute value of -808.

808\left|-808\right|  

a)

808

b)

808\left|808\right|  

c)

-808

26.

Find the absolute value of 4.

4\left|4\right|  

a)

-4

b)

4\left|-4\right|  

c)

4

27.

How many quadrants are on the coordinate plane?

a)

8

b)

2

c)

4

d)

1

28.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
29.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

30.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
31.
Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?
a)
9 units
b)
14 units
c)
13 units
d)
12 units
32.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
33.
What is the length of the shortest side of the rectangle?
a)
3 units
b)
4 units
c)
9 units
d)
2 units
34.
Is absolute value always positive?
a)
yes
b)
no
35.

Mary is swimming 5 feet below the surface. Which integer represents the absolute value of Mary's location?

a)

-5 feet

b)

5 feet

36.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

37.

Find the missing value(s) for the ratio table.

a)

a = 36

b = 108

b)

a = 108

b = 36

c)

a = 32

b = 90

d)

a = 108

b = 90

38.

Find the missing value for the ratio.

a)

3

b)

9

c)

7

d)

21

39.

Find the missing value for the ratio.

a)

56

b)

48

c)

7

d)

72

40.
What is C?
a)
80
b)
24
c)
96
d)
92
41.

What is the value of B in the ratio table?

a)

28

b)

70

c)

49

d)

56

42.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
43.

Solve the proportion:

27=c28\frac{2}{7}=\frac{c}{28}  

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

44.

Solve the proportion.

k6=1518\frac{k}{6}=\frac{15}{18}  

a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
45.

Solve the proportion.

6x=2420\frac{6}{x}=\frac{24}{20}  

a)

x = 4

b)

x = 5

c)

x = 7.2

d)

x = 0.2

46.

Solve for x:

47=20x\frac{4}{7}=\frac{20}{x}  

a)

35

b)

11.43

c)

140

d)

80

47.
What is the missing number in the ratio table?
a)
72
b)
85
c)
76
d)
90
48.

Find THREE equivalent ratios for 4/5. Select all that apply.

a)

5:4

b)

810\frac{8}{10}

c)

12:15

d)

5 to 4

e)

40 to 50

49.

Find the missing value.

a)

2

b)

4

c)

6

d)

12

50.

Find the missing values in the ratio table. 

a)

35, 12

b)

14, 100

c)

15, 30

d)

cannot be determined

51.

Another kind of ratio relationship you can find is to look inside a ratio itself. 2:6 is the top ratio in this table.


To get from 2 to 6, you would multiply by 3. Look at each row and notice that this times 3 relationship continues.


What is the value of x?

a)

30

b)

3

c)

15

d)

20

52.

Juliet used a 3 to 1 ratio of white to black paint in order to make a shade of gray. Which of the following ratios would give her the same shade of gray? Pick two.

a)

5 to 4

b)

279\frac{27}{9}

c)

5 to 15

d)

12 :4

e)

7 to 6

53.

The cafeteria orders a ratio of 4 to 7 of hot dogs to hamburgers for lunch. Which ratios are equivalent to the ratio of hot dogs to hamburgers? READ CAREFULLY!

a)

16 hamburgers and 28 hot dogs

b)

8 hot dogs and 14 hamburgers

c)

7 hot dogs and 10 hamburgers

d)

20 hamburgers and 35 hot dogs

e)

28 hot dogs and 49 hamburgers

54.

Julie made fruit punch for her class party. The ratio that she uses of water to sugar is 4:2. Annie's recipe that she uses, uses a ratio of 10:4 of water to sugar. Which statement is likely to be true?

a)

Julie's punch will taste sweeter because it will have more sugar.

b)

Annie's punch will taste sweeter because it has more sugar.

55.

Match the following ratios:

a)

7:4

1.

21:12

b)

3:7

2.

9:21

c)

2:6

3.

24:72

d)

8:3

4.

24:9

e)

5:4

5.

20:16

56.

What is the greatest common factor of 16 and 28?

a)

2

b)

3

c)

4

d)

112

57.

Which of the following is a correct use of the distributive property for 42 + 54?

a)

4(11 + 14)

b)

6(7 + 9)

c)

8(5 + 7)

d)

14(3 + 4)

58.

What is the difference between 8.6 and 2.14?

a)

3.6

b)

5.84

c)

6.46

d)

12.8

59.

A lollipop factory used 6.5 pounds of sugar to make 4 batches of lollipops. How much sugar did the factory put in each batch?

a)

1.593 lbs

b)

1.625 lbs

c)

2.5 lbs

d)

6.1 lbs

60.

What is the quotient of 4660 and 20?

a)

233.0

b)

236.0

c)

243.0

d)

320.0

61.

Plastic forks come in packages of 12 and plastic spoons come in packages of 8. If you want one fork for each spoon at a party with none leftover, what is the least amount of forks and spoons that you need to buy?

a)

4

b)

24

c)

48

d)

96

62.

Chandler went to the hardware store and bought 3 identical wooden boards. When Chandler placed all the boards end-to-end, it measured 8 meters long. How long was each board?

a)

2.375 m

b)

2.666 m

c)

2.333 m

d)

2.75 m

63.

There are 9.3 ounces of gummy bears in each bag. How many ounces of gummy bears are there in 4.5 bags?

a)

13.8 oz

b)

37.2 oz

c)

36 oz

d)

41.85 oz

64.

Which of the following lists show multiples of 14?

a)

14, 114, 214

b)

28, 42, 70

c)

54, 84, 154

d)

70, 96, 114

65.

Using the standard algorithm, solve the following problem where 51 is the divisor and 867 is the dividend to find the correct quotient below.

a)

0.058

b)

0.17

c)

17

d)

21

66.

Which choice represents the total inches of rainfall that occurred in Georgia from June through September?

a)

44.5 inches

b)

44.508 inches

c)

122.07 inches

d)

131.9 inches

67.

Rachel is throwing a party and wants to provide her guest with an equal amount of goodies. Given she buys 72 hot wings and 36 cupcakes, use the distributive property to determine the greatest number of guests she can have and how many hot wings and cupcakes each guest can eat.

a)

9(8 + 4) = 72 + 36; so she will have 9 guests giving each guest 8 hot wings and 4 cupcakes

b)

36(2 + 1) = 72 + 36; so she will have 36 guests giving each guest 2 hot wings and 1 cup cake

c)

18(4 + 2) = 72 + 36; so she will have 18 guests giving each guest 4 hot wings and 2 cupcakes

d)

2(36 + 18) = 72 + 36; so she will have 36 guests giving each guest 2 hot wings and 18 cupcakes.

68.

Kamal has a checking account balance of $45.75. He spend $21.89 dollars and claims that his balance is $24.55. What mistake did Kamal make in his calculation?

a)

He did not make a mistake because 45.75 - 21.89 is equal to 24.55

b)

He did not subtract correctly when he lined up his decimals

c)

He should have added instead of subtracting from his balance

d)

He forgot to carry his one

69.

Which place value model best represents the following situation? 3,180 toys need to be sent to 15 different warehouses evenly.

a)
b)
c)
d)
70.

How many terms are in the following expression?


3x + y + 42

a)

2 terms

b)

3 terms

c)

4 terms

71.

How many terms are in the following expression?


5 - 72x + 43y - 109 + 5z

a)

3 terms

b)

4 terms

c)

5 terms

d)

6 terms

72.

Combine like terms.


3x + 2x + 7

a)

12x

b)

5x + 7

c)

14x

d)

3x + 2x + 7

73.

Combine like terms.

3x2+3y+42y+x3x^2+3y+4-2y+x  

a)

4x2+1y+44x^2+1y+4  

b)

3x2+1y+4+x3x^2+1y+4+x  

c)

3x2+3y+42y+x3x^2+3y+4-2y+x  

d)

13xy

74.

Use the Distributive Property.


2(3x+4)

a)

8x+24x

b)

6x

c)

6x+4

d)

6x+8

75.

3(7x+10)

(a)  

76.

10(x+4)

(a)  

77.

3-MINUTE BRAIN BREAK!!


Try to solve the riddle, stand up and stretch, get a drink, etc.


I am tall when I am young, and I am short when I am old. What am I?


Type in your answer.

4 lines
78.

What is the most we can take away (divide) from BOTH numbers?


12 and 4

a)

2

b)

4

c)

6

d)

8

79.

What is the most we can take away (divide) from BOTH numbers?


12 and 20

a)

2

b)

4

c)

5

d)

10

80.

Use factoring to take out the most that you can.


10 + 12

a)

5(2+12)

b)

2(5+6)

c)

4(4+3)

d)

1(10+12)

81.

Use factoring to take out the most that you can.


12x + 16

a)

2(6x+8)

b)

12(1x+2)

c)

3(4x+6)

d)

4(3x+4)

82.

Use factoring to take out the most that you can.


2x + 8

(a)  

83.

How do you feel about simplifying algebraic expressions?

a)

I feel pretty good!

b)

I think I understand most of it.

c)

I have some questions.

d)

I'm really struggling.

84.
The sum of seven and x
a)
7-x
b)
x-7
c)
7x
d)
7+x
85.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
86.
The number h decreased by eight
a)
h-8
b)
8h
c)
h+8
d)
8-h
87.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
88.
Which of the following terms mean "addition"? 
a)
of
b)
how many
c)
total of
d)
shared
89.
Which of the following terms means "subtract"?
a)
half
b)
less than
c)
double
d)
per
90.
Difference, minus, less than, and decreased by are all words that mean ______________.
a)
add
b)
subtract
c)
multiply
d)
divide
91.
Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?
a)
9 + x
b)
9x
c)
2(9 + x)
d)
2x + 9
92.
The algebraic expression 6x - 4 can be written as which of the following? 
a)
x to the sixth power decreased by four
b)
The product of six and a number x decreased by four
c)
Six times a number x less than four
d)
four less than six
93.
What is the coefficient in the given expression:  2 - p + 4? 
a)
0
b)
4
c)
2
d)
1
94.
What is the coefficient of the following expression? 
7c + 8
a)
c
b)
7
c)
8
d)
1
95.
Which expression represents: "the product of 3 and x increased by 5"? 
a)
5x - 3
b)
3 - 5x
c)
3x + 5
d)
3x(5)
96.
Evaluate the expression using the values
 m = 7, r = 8, and t = 2.
4m + t
a)
30
b)
28
c)
26
d)
14
97.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
a)
8
b)
6
c)
4
d)
7
98.
Which is NOT a word phrase for the algebraic expression.
n + 16
a)
a number increased by 16
b)
16 increased by a number
c)
the sum of a number and 16
d)
16 more than a number
99.
Write an algebraic expression for the word phrase.
12 more than (m) machines
a)
12-m
b)
m-12
c)
12+m
d)
m+12
100.
Combine the like terms. Simplify.
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
101.
Combine like terms. Simplify. 
11g-9g+8g
a)
10g
b)
9g
c)
2g
d)
11g
102.
Solve using distributive property. 
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
103.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
104.
Factor:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
105.

Solve the inequality.

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≤ 8 

c)

x ≥ 18

d)

x ≤ 18 

106.

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

a)

≤, ≥ 

b)

<, >

107.

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

a)

<, >

b)

≤, ≥ 

108.

 Match the graph with its inequality.

a)

11 < a

b)

11 ≤ a

c)

 11 ≥ a

d)

11 > a

109.

 Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

110.

 Pick the correct inequality.

x<6

a)

A

b)

B

c)

C

d)

D

111.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

112.

Solve the following inequality:s + 1 ≥ -5

a)

s ≥ -6

b)

s < -6

c)

s ≥ - 4

d)

s ≤ -4

113.

Determine whether the value makes the inequality true. Choose true or false

x + 8 ≥ 13

x = 1

a)

TRUE

b)

FALSE

114.

Determine whether the value makes the inequality true. Choose true or false

x + 14 ≥ 50

x = 5

a)

TRUE

b)

FALSE

115.

Solve x + 5 ≤ 19. Graph the solution set on a number line

a)
b)
116.

Solve the inequality x – 6 > 2. Graph the solution set on a number line.

a)
b)
117.
a)

A

b)

B

c)

C

d)

D

118.
a)

A

b)

B

c)

C

d)

D

119.
a)

A

b)

B

c)

C

d)

D

120.
A garden has 10 tulips, 4 rose bushes and 6 sunflowers. What percent of the garden is tulips? 
a)
10%
b)
20%
c)
100%
d)
50%
121.
There are 4 girls in a class of 16 students.  What percent of the class is boys
a)
12%
b)
75%
c)
50%
d)
90%
122.
Mrs. Breon has 110 fiction books and 90 non-fiction books on her shelf.  What percent of her library is non-fiction? 
a)
45%
b)
90%
c)
100%
d)
10%
123.
What is 2/5 as a percent? 
a)
40%
b)
.40
c)
25%
d)
50%
124.
Tom saves 50% of his paycheck. If his pay is $148, how much will he save? 
a)
$148
b)
$70
c)
$50
d)
$74
125.
Ken got 6 out of 24 questions correct on a test. What is his grade? 
a)
6%
b)
25%
c)
50%
d)
33%
126.
Convert 6% to a decimal
a)
.06
b)
.6
c)
6.0
d)
60
127.
65% of Rho students at Cosgrove buy lunch.  If there are 100 Rho students, how many do not buy lunch? 
a)
165 students
b)
35 students
c)
65 students
d)
45 students 
128.
What fraction is equivalent to 25%? 
a)
1/2
b)
1/5
c)
1/4
d)
3/4
129.
What is 150% of $20? 
a)
$20
b)
$30
c)
$40
d)
$150
130.

A flat "unfolded" representation of a prism or pyramid.

a)

Surface Area

b)

Net

c)

Base

d)

3-Dimensional

131.

The sum of all the areas of the faces of a figure.

a)

Net

b)

Base

c)

Area

d)

Surface Area

132.

A three dimensional figure that has one polygon base and the other faces are triangles.

a)

Rectangular Prism

b)

Cube

c)

Pyramid

d)

Triangular Prism

133.

A three-dimensional figure who has two parallel triangular bases and three rectangular faces.

a)

Cube

b)

Triangular Prism

c)

Pyramid

d)

Rectangular Prism

134.

A three-dimensional figure that has six faces that are rectangles.

a)

Rectangular Prism

b)

Cube

c)

Prism

d)

Rectangle

135.

What is the surface area for the rectangular prism?

a)

36 cm2

b)

64 cm2

c)

72 cm2

d)

14 cm2

136.

What is the surface area of the pyramid?

a)

24 cm 2

b)

84 cm 2

c)

112 cm 2

d)

64 cm 2

137.

What is the surface area of the cube?

a)

12 cm2

b)

36 cm2

c)

24 cm2

d)

64 cm2

138.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
139.

Name the figure

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

e)

Cube

140.

Name the figure

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

e)

Cube

141.

Name the figure

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

e)

Cube

142.

Which 3-D figures will this net make?

a)

square pyramid

b)

cube

c)

hexagonal cube

d)

square

143.

Which 3-D figure will this net make?

a)

Cone

b)

Triangular Prism

c)

Square Pyramid

d)

Cube

144.

Which 3-D figure will this net make?

a)

Triangular Pyramid

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cube

145.
a)

95ft2

b)

15ft2

c)

40ft2

d)

35ft2

146.
a)

93in2

b)

84in2

c)

76in2

d)

85in2

147.

Match the following

a)
1.

Cylinder

b)
2.

Rectangular Prism

c)
3.

Triangular Prism

d)
4.

Triangular Pyramid

e)
5.

Square Pyramid

148.

What is the surface area of the cube?

a)

12

b)

64

c)

96

d)

384

149.

What is the surface area?

a)

10 mm2

b)

68 mm2

c)

22 mm2

d)

30 mm2

150.

How many books are in every cupboard of your house?

a)

Numerical

b)

Categorical

151.

How many hours per day does each member of the class spend playing video games?

a)

Statistical

b)

Non-Statistical

152.

How many hours per night do students in each 6th grade class spend on homework?

a)

Statistical

b)

Non-Statistical

153.

How many letters are in the English alphabet?

a)

Statistical

b)

Non-Statistical

154.

How many students in this class earned an A on the math test?

a)

Non-Statistical

b)

Statistical

155.

How many McDonald's hamburgers are eaten by kids in South Carolina on a weekly basis?

a)

Statistical

b)

Non-Statistical

156.

How many books does each student in our class check out of the library each week?

a)

Statistical

b)

Non-Statistical

157.

What is your personal favorite flavor of ice cream?

a)

Numerical

b)

Categorical

158.

How many hours did you spend watching TV this weekend?

a)

Categorical

b)

Numerical

159.

How many students in our class have social media?

a)

Statistical

b)

Non-Statistical

160.

How many sodas does each person in our class drink per month?

a)

Statistical

b)

Non-Statistical

161.

How much money did you earn mowing lawns yesterday?

a)

Statistical

b)

Non-Statistical

162.

Will the data be categorical or numerical? What is your (single person) favorite shoe brand?

a)

Numerical

b)

Categorical

163.
Is the following question statistical or non statistical?
How many ceiling tiles are in our classroom?
a)
Statistical
b)
Non Statistical
164.
Is the following question statistical or non statistical?
How tall are the students in our class?
a)
Statistical
b)
Non Statistical
165.

Is the following question statistical or non statistical?

How many siblings do each student have?

a)

Statistical

b)

Non Statistical

166.
Is the following question statistical or non statistical?
How many cars are in the parking lot?
a)
Statsitical
b)
Non Statistical
167.
Is this a statistical question: How many cars are in each driveway on your street? 
a)
Yes 
b)
No
168.

According to the pictograph, how many people participated in this survey?

a)

25

b)

2,500

c)

250

d)

225

169.

What was the most popular chapter book chosen by middle school students?

a)

The Lightning Thief

b)

The Giver

c)

Harry Potter

d)

The Hunger Games

170.

According to the graph, which statement is true?

a)

Fewer students received C's than F's.

b)

About 3 times as many students received A's than F's.

c)

There are about 70 students in the 7th grade class.

d)

More students received C's than F's.

171.

What happened to the temperature between the hours of 3:00-4:00?

a)

The temperature increased by 5 degrees.

b)

The temperature declined by 5 degrees.

c)

There was no change in the temperature.

d)

A snowstorm is going to hit this town.

172.

This graph uses digital images to display data.

a)
b)
c)
173.

This graph is a type of chart used to show information that changes over time.

a)

bar graph

b)

pictograph

c)

line graph

d)

histogram

174.

This graph is used to compare things between different groups.

a)

histogram

b)

bar graph

c)

line graph

d)

pictograph