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Worksheets

6th grade review

Total questions: 100

Worksheet time: 3hrs 49mins

Name
Class
Date
1.

What is the additive inverse of -5?

a)

5

b)

-5

c)

0

d)

10

2.

What is the absolute value of -11?

a)

11

b)

-11

c)

0

d)

22

3.

What is the opposite of the opposite of -19?

a)

-19

b)

19

c)

38

d)

0

4.

What is the distance between -7 and its opposite on a number line?

a)

14

b)

7

c)

0

d)

28

5.

Compare: I -25 I ______ 25

a)

>

b)

<

c)

=

6.

Mia's credit card balance is less than -$85. Does she owe more or less than $85?

a)

She owes more

b)

She owes less

7.

Pick the integer that represents the situation:

54 degrees below zero

a)

-54

b)

54

c)

0

8.

Pick the integer that represents the situation:

54 degrees below zero

a)

-54

b)

54

c)

0

9.

Pick the integer that represents the situation:

Sea level

a)

0

b)

-1

c)

1

10.

List the numbers in order from greatest to least:

-65, 34, 7, -13, 55, 62, -7

a)

-65, -13, -7, 7, 34, 55, 62

b)

7, -7, -13, 34, 55, 62, -65

c)

62, 55, 34, 7, -7, -13, -65

d)

-65, 62, 55, 34, -13, -7, 7

11.

Steve is currently 50 feet below sea level. Which correctly describes the opposite of Darrel's elevation?

a)

50 feet above sea level

b)

50 feet below sea level

c)

5 feet below sea level

d)

At sea level

12.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
13.

-20 + 10 + -30

a)

40

b)

-60

c)

-40

d)

60

14.

-2 - (-4)

a)

2

b)

-2

c)

6

d)

-6

15.
12 - (-3)
a)
15
b)
-15
c)
9
d)
-9
16.
-13 + (-25) =
a)
-38
b)
38
c)
12
d)
-12
17.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
18.
Is 77.35 an integer?
a)
yes
b)
no
c)
I have no idea
d)
maybe
19.
23 in factor form is...
a)
1/2 to the 3rd power
b)
2x2x2
c)
8
d)
2x2
20.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location? 
a)
-300
b)
-1300
c)
-3300
d)
300
21.
What is the distance from 10 to -5 on a number line? 
a)
-15 spaces
b)
10 spaces
c)
15 spaces
d)
-5 spaces
22.
A third grade class decided to sell boxes of cookies to help raise money for a school trip. Each box has two bags of cookies inside, and each bag holds 14 cookies. If each student needed to sell 4 boxes of cookies, how many cookies did each student need to sell?
a)
28
b)
56
c)
112
d)
224
23.
Jim baked sugar cookies and peanut butter cookies. He baked 8 sugar cookies and 3 times as many peanut butter cookies. What is the total number of cookies that Jim baked?
a)
11
b)
24
c)
40
d)
32
24.

An expression is shown.


6n


What is the value of the expression if n=7?

a)

67

b)

13

c)

42

d)

48

25.

An expression is shown.


5n


What word describes the 5 in the expression?

a)

Coefficient

b)

Constant

c)

Variable

d)

Exponent

26.
The number on the bottom of a fraction is called what?
a)
Numerator
b)
Denominator
27.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
28.

Solve the proportion.

a)

x = 16

b)

x = 5

c)

x = 24

d)

x = 48

29.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
30.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location? 
a)
-300
b)
-1300
c)
-3300
d)
300
31.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
32.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
33.
Complete the statement
a)
is greater than       >
b)
is less than            <
c)
is equal to              =
34.

Which expressions describes the following?

Jasmine played more than 25 minutes in the basketball game

a)

x > 25

b)

x < 25

c)

x > 25

d)

x < 25

35.

Which expressions describes the following?

Shane paid at least $10 for his tickets to the game

a)

x > 10

b)

x < 10

c)

x > 10

d)

x < 10

36.

Which of the following expressions represents the inequality x > 24

a)

Macy makes no more than 24 cookies for her class

b)

Ja'Shawn has to take a test with at least 24 questions on it

c)

Abbie turned in more than 24 assignments this week

d)

Avery visited less than 24 states this year

37.

Which expression represents the inequality x < 12

a)

Becca had fewer than 12 credits until graduation

b)

Gabriel needed to score a 12 or better to earn his next badge

c)

Jessica wanted $12 more for the consession stand

d)

Aaron could have had 12 pairs of Jordans or less

38.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
39.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
b)
x+22=125,
x = 20 feet
c)
x-25=125
x=150 feet
d)
25x=125
x=3,125 feet
40.
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.
a)
d/4=$11.13
b)
4d=$11.13
c)
d/5=$11.13
d)
5d=$11.13
41.
The order in which expressions are evaluated: Parenthesis, Exponents, Multiplication & Division (left to right), Addition & Subtraction (left to right).
a)
Order of Mathematics
b)
Order of Equations
c)
Order of Operations
d)
Order of Teaching Math
42.
What is a word phrase for t - 8
a)
the difference of t and 8
b)
the product of t and 8
c)
the quotient of t and 8
d)
the difference of 8 and t
43.
What is an equivalent way to express 3y? 
a)
y * y * y
b)
y + y + y 
c)
y3
d)
3 + y
44.
Lindsay had $40. She works at the grocery store and earns $15 each day.
Which equation shows the relationship between Lindsay's savings (y) and the number of days Lindsay works (x)?
a)
y = 15x + 40
b)
x = 15y + 40
c)
y = 40x + 15
d)
y = 40 - 15x
45.
Which value for "b" would make the inequality true?
b > 32
a)
19
b)
32
c)
27
d)
61
46.
Which problems are correct?
a.     3²= 6
b.     5³= 15
c.     8²= 64
d.     4³=  64
a)
I agree with a, c and d
b)
I agree with c and d only
c)
I disagree with all of them
d)
I agree with a, b, and c
47.
Which inequality represents the following:
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
48.
Simplify the expression.
3(5x - 8)
a)
15x + 24
b)
15x - 8
c)
5x- 8
d)
15x - 24
49.
A garden hose produces g gallons of water after running for m minutes.  Which is the independent variable?
a)
Gallons of water (g)
b)
Minutes running (m)
50.
For a show, a band will be paid $150 plus $5 for each ticket sold.  Write an equation for their total payment (p) related to the number of tickets they sell (t).
a)
p = 150 + 5t
b)
p = 5 + 150t
c)
p + 5t = 150
d)
5t - 150 = p
51.
Simplify the expression:
7(n-3)
a)
7n + 21
b)
7n - 21
c)
7n - 7
d)
n - 21
52.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
53.
Which graph matches the inequality 
1/2 > b?
a)
A
b)
B
c)
C
d)
D
54.
To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.
a)
Mean
b)
Median
c)
Mode
d)
Range
55.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
56.
To find the ______ you put all the numbers in order from least to greatest and then see which number you have the most of.
a)
Mean
b)
Median
c)
Mode
d)
Range
57.
The center of a coordinate plane located at the ordered pair coordinates (0, 0).
a)
X-axis
b)
Y-axis
c)
Origin
d)
Center
58.
Any of the 4 areas made when we divide up a coordinate plane by an x and y axis.  They are usually numbered I, II, III and IV
a)
X-axis
b)
Origin
c)
Quadrant
d)
Y-axis
59.
A letter or symbol that stands for a number in an equation is a
a)
addend
b)
mystery number
c)
expression
d)
variable
60.
All angles in any triangle, added together, will equal exactly.....
a)
300°
b)
180°
c)
360°
d)
170°
61.
A mathematical sentence that contains >, < , > , or <
a)
Inequality
b)
expression
c)
equation
d)
Unbalanced expressions
62.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
63.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
64.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
65.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
66.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
67.
Simplify the expression:
4n + 7 - n
a)
5n - 6
b)
5n + 7
c)
3n + 7
d)
2n +4
68.
Simplify the expression:
2(7 + 5y) - 2
a)
12 + 10y
b)
14 + 3y
c)
12 - 3y
d)
16 + 10y
69.
Which pink blocks represent 65%?
a)
A
b)
B
c)
C 
d)
D
70.
Write .506 as a percent.
a)
5.06%
b)
506%
c)
50.6%
d)
500.6%
71.
When converting percents to decimals, move the decimal two places:
a)
Two places to the right.
b)
Two places down.
c)
Three places to the right.
d)
Two places to the left.
72.
9+4x3
a)
21
b)
39
c)
36
d)
24
73.
24 - 24 ÷ 3 + 1
a)
-12
b)
9
c)
4
d)
1
74.

What percent of the grid is red?

a)

47%

b)

53%

c)

57%

d)

43%

75.

From the skittle activity, 1250\frac{12}{50} skittles were green. What percent of the skittles were green?

a)

12%

b)

100%

c)

24%

d)

6%

76.

Percents are always out of what number?

a)

1

b)

10

c)

50

d)

100

77.
What is 12% of 40?
a)
5
b)
4.8
c)
4
d)
12
78.
Change 4% to a decimal.
a)
.04
b)
.004
c)
.4
d)
4
79.
Write 200% as a decimal.
a)
20,000
b)
2
c)
200
d)
.02
80.
There is one pizza and two people are going to split it in half. How would you convert one half into a fraction, decimal and percent?
a)
1/2  ,  0.5  ,  50%
b)
1/4  ,  0.25  ,  25%
c)
3/4  , 0.75  ,  75%
d)
\1/20  ,  0.05 ,  5%
81.
Daniel's mom gave him $8 for his weekly allowance. He wants to buy new shoelaces for his white vans that cost $5. What percent of his money will Daniel spend on the new shoelaces?
a)
.625%
b)
3%
c)
40%
d)
62.5%
82.
What fraction of the students in the 6th grade participate in scouts?
a)
1/4
b)
1/2
c)
1/10
d)
3/20
83.
What percent of the circle is shaded?
a)
10%
b)
25%
c)
30%
d)
35%
84.
What percent of the flag is not shaded?
a)
63%
b)
67%
c)
70%
d)
75%
85.
What decimal is represented?
a)
.25
b)
.75
c)
2
d)
2.25
86.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
87.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
88.

What is 10x + 2x + 5x - 10x

a)

21x

b)

15x

c)

7x

d)

17x

89.
Which expression is best represented in the number line below?
a)
0 + -4
b)
-4 + -2
c)
-4 + 2
d)
-4 x -2
90.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
91.
Which expressions are NOT equivalent? 
a)
3x + 5 + (6+4) and 3x + 25
b)
(x = 5) -2 and x + 3
c)
2(x + 5) - x and 2x + 16
d)
(x+5) - x and 2x+ 5
92.
Which of the following temperatures is the COLDEST?
P: -13
Q: 59
R: -15
S: 32
a)
P
b)
Q
c)
R
d)
S
93.

Which category best describes 0.42?

a)

Rational

b)

Integer

c)

Whole

94.

What point is at (3,-4)?

a)

A

b)

F

c)

E

d)

B

95.

What is the product of 3 and ⅘?

a)

2 ⅖

b)

12/15

c)

4/15

d)

3 ⅘

96.
Jose has answered 20/25 of the questions on a test. What percentage of the test has Jose answered?
a)
20%
b)
45%
c)
95%
d)
80%
97.
A shirt is discounted 40% off its regular price. Which value is equivalent to 40%
a)
1/25
b)
0.004
c)
40
d)
2/5
98.
-14 could NOT be which type of number?
a)
Integer
b)
Whole
c)
Rational
99.
What is 33?
a)
6
b)
9
c)
27
d)
54
100.
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
a)
6/4
b)
2/3
c)
1/3
d)
10/16

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