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Worksheets

6th Grade Final Review

Total questions: 145

Worksheet time: 6hrs 33mins

Name
Class
Date
1.
What is the product of 87 and 54?
a)
859
b)
4,698
c)
141
d)
3,597
2.

65.28 ÷ 12 =

a)

5.4

b)

5.04

c)

54

d)

0.54

3.
A candy store owner has 8.32 pounds of jelly beans.  If she splits the jelly beans into 8 jars, how many pounds of candy will go in each jar?
a)
1.4
b)
1.04
c)
1.40
d)
1.004
4.
Mrs. Rice bought 27 books for the class.  What was the cost for one book if she spent a total of $67.50?
a)
$2.13
b)
$0.21
c)
$0.25
d)
$2.50
5.

A 3-pack of boxes of juice costs $1.09. A 12-pack of boxes costs $4.39. A case of 24 boxes costs $8.79. Which is the best buy?

a)

3- pack

b)

12- pack

c)

24- pack

6.
1 ½ ÷ ½ =
a)
b)
1 ¼
c)
3
d)
3/4
7.
Mia saw 8 donuts. Three had sprinkles. What fraction had sprinkles? 
a)
b)
c)
d)
8.
3.6 ÷ 6
a)
0.6
b)
6
c)
.06
d)
60
9.

Find the answer: 123.07 + 74.9 = ____

a)

197.97

b)

872.07

c)

130.56

d)

None of the above

10.
Jim earns $22.50, $14.75, and $8.50 on three different days.  How much did he earn in all? 
a)
$28.75
b)
$45.25
c)
$45.75
d)
457.50
11.

Layla went to a coffee shop. She bought 2 cupcakes with $5.70, 1 juice with $1.50, and and ice cream cup for her brother with $3.50. If Layla has $15, how much change will the cashier give her back?

a)

$4.5

b)

$4.3

c)

$4.4

d)

$4

12.
Abby buys a game for $7.89 and batteries for $5.49.  She pays with a twenty dollar bill, how much change will she receive? 
a)
7.72
b)
33.38
c)
13.38
d)
6.62
13.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

4/6

c)

1/3

d)

10/16

14.
Simplify to lowest terms
a)
6
b)
2/8
c)
1/6
d)
 2/12
15.
What is the ratio of green marbles to red marbles?
a)
3/2
b)
3/1
c)
3/3
d)
2/3
16.
What are the three ways to write a ratio
a)
2;3 , 2 to 3 , 2\3
b)
2:3 , 2 to 3 , 2/3
c)
2:3 , 2 too 3 , 2/3
17.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
18.
**PROPORTION***
If mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas?
a)
7
b)
9
c)
10
d)
2
19.
***PROPORTION***
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
20.
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
21.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
22.
In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?
a)
4
b)
6
c)
8
d)
9
23.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
24.
Solve for B in the table.
a)
B= 40
b)
B= 10
c)
B= 9
d)
B= 45
25.
Solve for C in the table.
a)
C= 40
b)
C= 10
c)
C= 9
d)
C= 45
26.
A market sells 7 candy bars for $4.20. How much do 8 candy bars cost?
a)
$4.80
b)
$0.60
c)
$33.60
d)
$12.60
27.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
28.

Robby raises Holstein and Jersey cows on his farm in the ratio of 7 : 5. If he has a total of 48 cattle on his farm, how many Holstein cows and how many Jersey cows does he own?

a)

70 Holsteins and 50 Jerseys

b)

28 Holsteins and 20 Jerseys

c)

12 holsteins and 10 Jerseys

d)

21 Holsteins and 15 Jerseys

29.

A wire that is 60 inches long is cut in two in the ratio 9 : 6. Find the length of each piece of wire.

a)

36 inches and 24 inches

b)

18 inches and 12 inches

c)

30 inches and 30 inches

d)

48 inches and 12 inches

30.

How much is 10% of $30?

a)

$15

b)

$5

c)

$10

d)

$3

31.

How much is 10% tip of $25?

a)

$2.50

b)

$5

c)

$20

d)

$2

32.

What is 50% of 250?

a)

100

b)

125

c)

50

d)

150

33.

What is 20% of $80?

a)

$40

b)

$25

c)

$16

d)

$8

34.
What is 30% of 50?
a)
16
b)
16.3
c)
17.4
d)
15
35.

Calculate 25% of 80

a)

20

b)

80

c)

48

d)

95

36.
Ms. Perry spent $2000 to buy some new computer equipment. Of this money, $120 was used to buy some new keyboards. What percent of the money was spent on keyboards?
a)
40%
b)
60%
c)
6%
d)
4%
37.
The monthly budget to landscape the front of your house is $9000. You spent 6% of the budge on flowers. How much did you spend on flowers?
a)
$540
b)
$54
c)
$5400
d)
$5.40
38.
Ashton is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much more money does Ashton need to buy the bike?
a)
$72.00
b)
$60.00
c)
$48.00
39.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
40.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
41.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
42.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

43.
5(v + 1)
v = 4
a)
26
b)
12
c)
11
d)
25
44.
What does "product" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract
45.
The word "of" represents what operation?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
46.
Write an algebraic expression for:
 35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
47.
Write a verbal expression for:
4q
a)
Four q
b)
Four times q
c)
Four plus q
48.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
49.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
50.

a number increased by eighteen

a)

18n

b)

n+18

c)

18-n

d)

18/n

51.
fourteen times a number
a)
n-14
b)
14n
c)
14+n
d)
14-n
52.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

53.

Identify the VARIABLE in the expression

3x + 9

a)

x

b)

y

c)

9

d)

3x

54.

What is the COEFFICIENT?

4x + 5

a)

x

b)

4

c)

5

d)

9

55.

Simplify the expression: 2x + 1 + 7x

by combining like terms

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

56.
14x - 10x
a)
4
b)
6x
c)
24x
d)
4x
57.

Use the DISTRIBUTIVE property to simplify the expression:

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

58.

Evaluate when x = 15,

2(x -8)

a)

14

b)

7

c)

22

d)

30

59.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
60.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
61.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
62.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
63.
What is the least common multiple (LCM) of 15 and 2?
a)
30
b)
2
c)
45
d)
152
64.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
65.
Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. On what date will she do both classes and go to the library?
a)
24 days
b)
36 days
c)
42 days
d)
52 days
66.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
67.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
68.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
69.
Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
70.
Which of the choices is not a factor of 24?
a)
2
b)
3
c)
4
d)
5
71.
Which of the numbers below are multiples of 3? 
a)
7
b)
8
c)
16
d)
24
72.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

73.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
74.
What is the greatest factor of 28 and 49?
a)
1
b)
2
c)
7
d)
12
75.
Which of the choices is not a factor of 24?
a)
2
b)
3
c)
4
d)
5
76.
2f + f
a)
3f
b)
2f
c)
f
77.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
78.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
79.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
80.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
81.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
82.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
83.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
84.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
85.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
86.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
87.
(9 + 23) ÷ (5 - 3) = 
a)
16
b)
32
c)
15
d)
12
88.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
89.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
90.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
91.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
92.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
93.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
94.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
95.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
96.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

97.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
98.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
99.
Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.
a)
t > 20
b)
t < 20
c)
t ≤ 20
d)
t ≥ 20
100.
Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
101.
What is the missing number in the ratio table?
a)
75
b)
77
c)
88
d)
85
102.
The Northwestern huskies had a record of 25 wins and 45 losses.  What was the ratio of wins to losses?
a)
9:5
b)
5:9
c)
5:3
d)
3:5
103.
Greater than
a)
<
b)
>
c)
d)
104.
Less Than
a)
<
b)
>
c)
d)
105.
Less than or equal to
a)
<
b)
>
c)
d)
106.
Greater than or equal to
a)
<
b)
>
c)
d)
107.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
108.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
109.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15 
c)
x ≤ 15
d)
x ≥ 15
110.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x  ≤ 12
111.
 Solve and then match the correct solution & graph.
a)
A
b)
B
c)
C
d)
D
112.
 Match the graph with the given solution.
a)
A
b)
B
c)
C
d)
D
113.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
114.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
115.
Write the inequality:
There are fewer than 20 days left in October. 
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
116.
maximum
a)
<
b)
>
c)
d)
117.
minimum
a)
<
b)
>
c)
d)
118.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
119.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
120.
Solve the inequality:
x + 7 < 9 
a)
x < 2
b)
x < 16
c)
x < 63
d)
x < - 2
121.
Solve the inequality:
8x ≤ 32
a)
x ≤ 4
b)
x ≤ 40
c)
x ≤ 5
122.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
123.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
124.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
125.
Dilcia wants to know how drinking milk affects how tall a Monica grows. Which is the independent variable?
a)
Monica's growth
b)
drinking milk
126.
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
127.
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
128.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
129.

In the table, Bubbles is the ______________.

a)

independent variable

b)

dependent variable

130.
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
131.

A food service worker earns $12 per hour. If the wages earned depends on the number of hours worked, identify the independent variable.

a)

wages earned

b)

number of hours

132.

In the United States House of Representatives, the number of representatives from a state depends on the population.


What is the dependent variable?

a)

number of U.S. Representatives

b)

population

133.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
134.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
135.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
136.
What is the INDEPENDENT variable?
a)
distance
b)
25
c)
time
d)
there isn't one
137.
What is the DEPENDENT variable?
a)
total cost
b)
weight
c)
0.3
d)
there isn't one
138.
What is at (1,2)?
a)
the moon
b)
the sun
c)
a blue planet
d)
a robot
139.
Where is Saturn?
a)
(8,2)
b)
(6,7)
c)
(1,1)
d)
(2,8)
140.
What are the missing numbers?
a)
2, 8, 10
b)
4, 5, 6
c)
7, 4, 21
d)
53, 54, 23
141.

Which table below matches the scenario?

Parking at the airport costs $7 per day. Independent variable, x, is the number of days a vehicle is parked; dependent variable, y, is the total cost for parking

a)
b)
c)
d)
142.

Which answer represents the solution to this inequality?

a)

x ≥ 5

b)

x > 5

c)

x = 5

d)

x ≥ 13

143.

What inequality belongs with the number line.

a)

y = 6

b)

y < 6

c)

y > 6

d)

y < 6

144.

Identify the independent variable:


The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

145.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes