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Worksheets

Sixth Grade Review

Total questions: 165

Worksheet time: 7hrs 56mins

Name
Class
Date
1.

This is the the origin (0,0) of a coordinate plane

a)

True

b)

False

2.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
3.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
4.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
5.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
6.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
7.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
8.

Additive relationship is where you add or subtract x and any variable in order to find y.

a)

True

b)

False

9.
Multiplicative relationship is where you multiply or divide x and any number in order to solve for y.
a)
True
b)
False
10.

What type of relationship is represented in the graph?

a)

additive

b)

multiplicative

c)

none of the above

11.
What type of relationship does this graph have?
a)
additive
b)
multiplicative
c)
none of the above
12.
Answer the following question.
a)
A
b)
B
c)
C
d)
D
13.
Answer the following question.
a)
A
b)
B
c)
C
d)
D
14.
Which graphs show an additive relationship?
a)
A only
b)
A & C only
c)
A & D only
d)
B & C only
15.
In graphs of multiplicative relationships, the graph always starts at the origin (0,0).
a)
True
b)
False
16.
What is the equation?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
y = 7x
17.
What type of relationship does the graph represent?
a)
additive
b)
multiplicative
c)
none of the above
18.
What is the correct equation for an additive relationship?
a)
y = x+a
b)
x = y+a
c)
y = ax
d)
a/x = m
19.
What is the correct equation for a multiplicative relationship?
a)
y = x + a
b)
x = y + a 
c)
y = ax
d)
a/x = m
20.
The same value is added to each x-value to find the corresponding y-value
a)
Multiplicative 
b)
Additive Relationship
c)
7
d)
No relationship
21.
Each x-value is multiplied by the same factor  to find the corresponding y-value
a)
No relationship
b)
Additive Relationship
c)
Bad relationship
d)
Multiplicative Relationship
22.
The graph for this type of relationship always intersects the origin.
a)
Positive Relationship
b)
Multiplicative Relationship
c)
Additive Relationship
d)
Negative Relationship
23.

On the first week, Abby ran 2 miles, then she increased her running distance by 1 mile everyday.

a)

Additive

b)

Multiplicative

24.

Genesis increases her running distance by 1.5 times the previous day

a)

Additive

b)

Multiplicative

25.

Kevin rented a kayak the costs $15 per day

a)

Additive

b)

Multiplicative

26.

Samantha started with $30 in her piggy bank. She is now adding $1 to her piggy bank every month

a)

Additive

b)

Multiplicative

27.

Alex earns $2 more than her sister

a)

additive

b)

multiplicative

28.

Cinemark theaters charge $5.75 per ticket

a)

additive

b)

multiplicative

29.

Damian's favorite game at the carnival is the basketball game. Each game costs $2.50

a)

additive

b)

multiplicative

30.

Tyson's age is 4 years less than Jack's

a)

Additive

b)

Multiplicative

31.

Alissa walks 2 miles every half hour

a)

Additive

b)

Multiplicative

32.

An online store charges a flat fee of $6.50

a)

Additive

b)

Multiplicative

33.

Sofia's family drove to the beach for spring break. Her mom drove 60 miles per hour

a)

additive

b)

multiplicative

34.

A grocery store charges $3.20 per carton for fresh eggs

a)

additive

b)

multiplicative

35.

For every cookie Valerie places in a gift basket, she adds 6 pieces of candy

a)

additive

b)

multiplicative

36.

A party hall charges a cleaning fee of $60

a)

additive

b)

multiplicative

37.

Roger had 6 dollars and then started to save one dollar each week

a)

additive

b)

multiplicative

38.

Berenice ran one mile the first week and then one mile each week after that

a)

additive

b)

multiplicative

39.

James read zero books the first week and then started reading 2 books each week

a)

additive

b)

multiplicative

40.

Susan has 6 times more money than Javier

a)

additive

b)

multiplicative

41.

Which equation best represents the table shown above?

a)

y=40x

b)

y=x+40

c)

x=40y

d)

x=y+40

42.

Which equation best represents the relationship between x and y?

a)

y=x+25

b)

x=y+25

c)

x=25y

d)

y=25x

43.

In the equations y=ax and y=x+a what does the a represent?

a)

Independent Variable

b)

Dependent Variable

c)

Constant

d)

Product

44.

What type of relationship is shown in the table above?

a)

Additive

b)

Multiplicative

c)

Subtractative

d)

Divistative

45.

Henry runs the roller coaster at the fair. He can put 6 people in each ride vehicle. The chart above explains this relationship. If there are 12 vehicles in all, how many people can ride the roller coaster at once?

a)

30

b)

72

c)

50

d)

55

46.

What is the equation for a multiplicative relationships.

a)

y = ax

b)

y = a +x

c)

neither letters aren't used in math.

47.

What is the equation for an Additive Relationship?

a)

y = ax

b)

y = a + x

c)

neither letters aren't in math

48.

Additive relationship is where you add or subtract x and any variable in order to find y.

a)

True

b)

False

49.
Multiplicative relationship is where you multiply or divide x and any number in order to solve for y.
a)
True
b)
False
50.
Which quadrant would the coordinate pair  (-3, -2.5) be placed in?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
51.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
52.
The __ - axis is the horizontal axis of the coordinate plane.  
a)
X
b)
Y
c)
Z
d)
None of the above
53.
In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.
h = the number of hours Dalton babysits
m = the amount of money Dalton earns
Which of the variables is dependent?
a)
h
b)
m
54.
Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?
a)
m
b)
b
55.

Write an equation that represents the relationship between the variables in the table.

a)

t=10d

b)

t=d-9

c)

t=10-d

d)

d=t+10

56.
Changes in the _________ variable causes changes in the _________ variable.
a)
independent; dependent
b)
dependent; independent
57.
The independent variable is always the _______ in a table.
a)
x (left side)
b)
y (right side)
58.
Is the image an example of a multiplicative relationship?
a)
True (Yes)
b)
False (No)
59.
Additive relationship is where you add or subtract x and any variable in order to find y.
y = x + a
a)
True (Yes)
b)
False (No)
60.
Which equation best represents the data in the table?
a)
y = x – 5
b)
y = x + 5
c)
y = 5x
d)
y = -5x
61.
Which equation represents the relationship between the x- and y-values in the table?
a)
y = 3x
b)
y = x + 2
c)
y = x + 3
d)
y = x - 3
62.
a)

F

b)

G

c)

H

d)

J

63.
a)

A

b)

B

c)

C

d)

D

64.

In graphs of multiplicative relationships, the graph always starts at the origin (0,0).

a)

True

b)

False

65.
What is the rule for the following equation? y = 3x
a)
Add 3
b)
Divide
c)
Subtract
d)
Multiply by 3
66.
What equation can be used to represent the relationship between the input (x) and output (y)?
a)
y = x + 4
b)
y = 3x
c)
x = y + 4
d)
x = 3y
67.
Independent quantity is known as the output or y.
a)
True
b)
False
68.
Dependent quantity is also known as the output.
a)
True
b)
False
69.
In order to earn extra money on the weekends, Josie's string quartet performs at wedding receptions. The longer the reception, the more money they earn.
r = the length of the reception
m = the amount of money Josie's quartet earns
Which of the variables is independent?
a)
r
b)
m
70.
A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.
a)
money
b)
hours
71.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
72.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
73.
Which situation best represents a multiplicative situation?
a)
Lizbeth's class started with 17 students. Each month a new student joins the class. 
b)
Lizbeth saw 7 bookshelves in the library. Each bookshelf has the same number of books. 
c)
Lizbeth is charged a $5 fee for the delivery of her pizza. 
d)
Lizbeth is charged a flat shipping rate of $10.
74.
For every 4 minutes, there are 240 seconds. Which equation best represents the number of seconds, s, in a given number of minutes, m?
a)
s = (1/60) x m
b)
s = 60/m
c)
s = m + 60
d)
s = 60m
75.
Identify if this relationship is additive or multiplicative. 
a)
Additive
b)
Multiplicative
c)
Neither
76.
Which of the follow explains the independent and dependent quantities of the table?
a)
The x is dependent quantity because it depends on the y.
b)
The y is dependent quantity because it depends on the x. 
c)
The x is the independent quantity because it is represented on the the vertical axis.
d)
The y is independent because it is represented on the vertical axis.
77.
Based on the information in Graph 1 and Graph 2, which statement is true?
a)
Graph 2 represents a mulitplicative relationship.
b)
Graph 1 represents a multiplicative relationship
c)
Graph 2 represents an additive relationship because it contains the pair (0,0).
d)
Graph 1 represents and additive relationship becuase ti contains the pair (0,0).
78.
Find the equation for the graph.
a)
y = 6x
b)
y = x + 6
c)
y = (1/6)x
d)
y = x/6
79.
Which explains the relationship shown on the graph?
a)
The relationship shown is additive 
b)
The number of minutes is dependent on the number of words.
c)
The number of words is independent of the number of minutes.
d)
The relationship shown is multiplicative.
80.

What is the independent quantity from this problem?

a)

The width

b)

The length

81.

In this example, which is the dependent quantity?

a)

The width

b)

The length

82.

What is the equation for this table?

a)

x - 5 = y

b)

x + 5 = y

c)

5x = y

d)

5/x = y

83.

Which graph correctly represents this table?

a)
b)
84.

Is this relationship additive or multiplicative?

a)

Additve

b)

Multiplicative

85.

In this word problem, which quantity is the independent quantity?


A bag contains red and blue beads. The number of red bead is 3 times the number of blue beads.

a)

Blue beads

b)

Red Beads

86.

In this word problem, which quantity is the dependent quantity?


A bag contains red and blue beads. The number of red bead is 3 times the number of blue beads.

a)

Blue Beads

b)

Red Beads

87.

Which graph correctly matches this table?

a)
b)
88.

Is this relationship additive or multiplicative?

a)

Additive

b)

Multiplicative

89.

The graph shows the relationship between the number of weeks, w, and the number of soccer games, g, played. Which rule describes the pattern on the graph?

a)

g = w + 3

b)

g = 3w

c)

g = 2w

d)

w = 3g

90.

The table represents a relationship between x and y. The relationship between the x-values and y-values creates a pattern that is --

a)

additive, because each x-value increases by 4

b)

additive, because each y-value is determined by adding 4 to the corresponding x-value

c)

multiplicative, because each y-value is determined by multiplying the corresponding x-value by 4

d)

multiplicative, because each x-value is a multiple of 4

91.

The points on the graph represent a numerical pattern.


Which statement about the pattern

represented on the graph is true?

a)

It is a multiplicative pattern because each y-coordinate has a higher value than the corresponding x-coordinate.

b)

It is a multiplicative pattern because each x-coordinate is multiplied by 4 to create the corresponding y-coordinate.

c)

It is an additive pattern because each y-coordinate has a higher value than the corresponding x-coordinate.

d)

It is an additive pattern because each x-coordinate is increased by 4 to create the corresponding y-coordinate.

92.
Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
a)
c
b)
d
93.
Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is independent?
a)
s
b)
t
94.
Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
a)
m
b)
d
95.
In the United States House of Representatives, the number of Representatives from a state is calculated based on its population.
r = the number of Representatives
p = the population of a state
Which of the variables is independent?
a)
r
b)
p
96.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
97.
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
98.
Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie What is the dependent variable?
a)
the number of movies she rents
b)
the company that she rents from
c)
the money it costs
d)
There isn't one
99.
Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works.
What is the independent vairble
a)
the number of websites she makes
b)
the number of weeks
c)
the design of the website
d)
there isn't one
100.
Time is the _____________ variable.
a)
dependent
b)
independent
101.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
102.
How many quadrants are on a coordinate grid?
a)
5
b)
10
c)
4
103.
Which number in the ordered pair, (-4, 5) represents the x-value? 
a)
-4
b)
5
104.
What letter is at the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
105.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
106.
Which ordered pair forms point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
107.
Which quadrant contains the ordered pair (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
108.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
109.
In the ordered pair, (7, -7), first I would move ____ then ____.
a)
Left, Down
b)
Left, Up
c)
Right , Up
d)
Right , Down
110.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
111.
If you were to plot the point (5, -2) what would be the correct method?
a)
Up 5, left 2
b)
left 5, Down 2
c)
Down 5, left 2
d)
Right 5, down 2
112.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
113.
A set of two real numbers that locate a point on a plane is called __________________.
a)
Origin
b)
Coordinate Plane
c)
Ordered Pair
d)
Graph
114.
Which variable represents the second number in an ordered pair? 
a)
X
b)
Y
c)
T
d)
G
115.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
116.
What is the ordered pair for C?
a)
(-6, 7)
b)
(2, -4)
c)
(-8, 2)
d)
(2, -8)
117.
a)
Point R
b)
Point S
c)
Point T
d)
Point U
118.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
119.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
120.
When plotting the point, (-4, 3), which describes the movement along the x-axis and y-axis in the correct order? 
a)
4 units right then 3 units up
b)
4 units down then 3 units left
c)
4 units left then 3 units up
d)
4 units up then 4 units right
121.
In the ordered pair, (7, -7), first I would move ____ then ____.
a)
Left, Down
b)
Left, Up
c)
Right , Up
d)
Right , Down
122.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
123.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
124.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
125.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
126.
The ratio used to find percent is...
a)
part/whole = %/100
b)
part/whole = 100 / %
c)
whole/part= %/ 100
127.
There are 36 teachers that work in a school.  On Friday, 29 teachers were present.  What percent of the teachers showed up for work? (Round to the nearest tenth)
a)
50%
b)
80.6%
c)
75.7%
d)
80%
128.
75% of 3
a)
4
b)
3
c)
29
d)
12
129.
If 8 out of 20 students in a class are boys, what percent of the class is made up of boys?
a)
60%
b)
40%
c)
20%
d)
10%
130.
94% of 9 is what number?
a)
9.6
b)
307
c)
846
d)
8.5
131.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
132.
45 is what percent of 49?  Make sure to round to the nearest percent. 
a)
50%
b)
42%
c)
92%
133.
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
a)
60
b)
90
c)
110
d)
44
134.
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
a)
33.60
b)
40.00
c)
24.60
d)
30.50
135.
18 is 40% of what number?
a)
30
b)
96
c)
45
d)
69
136.
A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?
a)
19
b)
21
c)
35
d)
28
137.
75 people to 25 people
a)
Increase
b)
Decrease 
138.
Find the PERCENT of change.
20 dogs to 5 dogs
a)
Decrease 15%
b)
Increase 15%
c)
Increase 75%
d)
Decrease 75%
139.
One week, 72 people got a speeding ticket. The next week, only 36 people got a speeding ticket. What is the percent of change in the speeding tickets?
a)
Increase 50%
b)
Decrease 50%
c)
Increase 1%
d)
Decrease 1%
140.
Write 0.14 as a percent.
a)
1.4%
b)
140%
c)
14%
d)
0.14%
141.
Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
142.
What is your total if you pay a 4% tax on a small swimming that costs $24.99?
a)
$2.00
b)
$1.00
c)
$25.99
143.
Now Solve This Question
Mrs. Ray is buying some groceries.  They total to $35.50.  Sales tax is 4.5%.  When she goes to pay, how much will she owe?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$2.50
144.
Ishaan bought fruit for $13 before tax. The sales tax is 15%. What is the total price?
a)
X=14.63
b)
X=16.96
c)
X=14.95
d)
X=16.96
145.
If your cell phone bill was $67.82 and there is a 7% late fee, how much will your bill be?
a)
X=72.57
b)
X=73.20
c)
X=72.45
d)
X+hjhe
146.
Mr. Serfass has 25 students in his class and 2 students were absent.What is the percent of change?
a)
56%
b)
8%
c)
9%
d)
92%
147.
Find the percent change!
Ann works in a supermarket for $10.00 per hour. If her pay is increased to $12.00, then what is her percent increase in pay?
a)
12%
b)
20%
c)
16.7%
d)
1%
148.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
149.
What is the distance from 37 to 1 on a number line? 
a)
36
b)
-36
c)
37
d)
38
150.
Find the absolute value
a)
-43
b)
43
c)
0
d)
-1
151.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
152.
What is the opposite of -9? 
a)
9
b)
1/9
c)
0
d)
-9
153.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
154.
Write an integer for each situation.
a profit of $12
a)
120
b)
-120
c)
12
d)
1.2
155.
a gain of 31 yards
a)
310
b)
-31
c)
31
d)
3.1
156.
The winter of 2015 was the coldest one on record for several cities in Michigan.   The chart below   shows the low temperatures for some cities in February. Which city had the warmest temperature?
a)
Detroit
b)
Flint
c)
Lansing
d)
Ann Arbor
157.
Which point represents -9?
a)
V
b)
X
c)
Y
d)
Z
158.
a number less than zero
a)
positive number
b)
integer
c)
negative integer
d)
opposites
159.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
160.
1 + 5 · 6
a)
36
b)
31
c)
35
d)
34
161.
7 - 9 ÷ 9
a)
18
b)
6
c)
1
d)
3
162.
Which operation would you do first?
2 · (15 - 2) ÷ 5
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
163.
9(11) - (4)(7)
a)
71
b)
665
c)
52
d)
237
164.
PEMDAS only works if....
a)
You add then subtract
b)
You subtract then add
c)
add or subtract right to left
d)
add or subtract left to right
165.
(9 + 39) ÷ (11 - 5) = 
a)
17
b)
14
c)
9
d)
8

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