wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

6th Math Review

Total questions: 121

Worksheet time: 20hrs 51mins

Name
Class
Date
1.

Which sentence accurately represents the following ratio:

a)

The ratio of moons to suns is 4 to 8

b)

There are 4 moons for every 8 suns

c)

There are 4 moons for every 2 suns

d)

The ratio of suns to moons is 2:1

2.

Select ALL the ratios that are equivalent to 16 : 6

a)

3 to 8

b)

32 : 12

c)

4 to 2

d)

8 to 3

3.

A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?

a)

3 : 2

b)

3 to 2

c)

6 : 4

d)

2 : 3

4.

For a single batch of cookies, a recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?

a)

6 eggs and 9 cups of flour

b)

6 cups of flour and 9 eggs

c)

8 eggs and 12 cups of flour

d)

12 eggs and 8 cups of flour

5.

A cookie recipe calls for 2 eggs and 3 cups of flour. How many cups of flour is needed with 8 eggs?

a)

9 cups of flour

b)

5 cups of flour

c)

12 cups of flour

d)

6 cups of flour

6.

Are these ratios equivalent?

23\frac{2}{3}  and  89\frac{8}{9}  

a)

yes

b)

no

7.

The ratio of girls to boys at basketball practice is 2:3. If there are 12 girls at practice then how many boys are there?

a)

15

b)

18

c)

20

d)

21

8.

Which ratio is equivalent to 5 to 4

a)

4 to 5

b)

10 to 12

c)

25 to 20

d)

15 to 8

9.

Typically on a baseball team, there are 14 position players and 12 pitchers. What is the ratio of pitchers to position players.

Select all ratios that could be written for the situation (some may be simplified).

a)

12:14

b)

14 to 12

c)

12/14

d)

6 to 7

e)

7:6

10.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
11.

What value is missing from the top right corner of the ratio table?

a)

12

b)

11

c)

10

d)

9

12.

What value is missing from the middle row of the ratio table?

a)

16

b)

8

c)

32

d)

4

13.

What value is missing from the bottom right corner of the ratio table?

a)

8

b)

10

c)

12

d)

14

14.

Which of the following best describes what a ratio is?

a)

It's a comparison.

b)

It's a total.

c)

It's something multiplied by something else.

d)

It's a decimal.

15.

Karl Anthony-Towns made 4 of his first 5 shots. If he were to take 20 shots in the game, how many shots is he on pace to make?

(a)  

16.

Mary had 32 pairs of shoes. If the ratio of sandals to tennis shoes is 1:7, how many pair of tennis shoes does Mary have?

(a)  

17.

Lance had 24 apps on his phone. If the ratio of educational apps to gaming apps is 5:1, how many educational apps are there?

(a)  

18.

Mrs. Brown graded 84 papers. If the ratio of science papers to math papers is 2:10, how many math papers did she grade?

(a)  

19.

Larry read 36 books written by Gary Paulsen. If the ratio of non-fiction to fiction books is 2:7, how many non-fiction books did I read?

(a)  

20.

60 students were sick. If the ratio of students who had the flu to students who did not have thee flu was 4:1, how many students had the flu?

(a)  

21.

27 students rode bus 5. If the ratio of elementary students to middle school students is 2:1, how many elementary students rode bus 5?

(a)  

22.

45 caterpillars became butterflies. If the ratio of monarchs to other butterflies is 8:1, how many butterflies were NOT monarchs?

(a)  

23.

4 boys went fishing. They caught a total of 40 fish. If the ratio of catfish to bass is 5:3, how many catfish were caught?

(a)  

24.

I had 35 assignments for the week. The ratio of English assignments to the rest of the assignment was 2:3. How many assignments were NOT English?

(a)  

25.

There are 186 students at Comanche Middle School. The ratio of girls to boys is 4:2. At that rate, how many students are girls?

(a)  

26.
Elliot says almost everyone arrived at the party after 10:00 P.M., but Nancy thinks most people came earlier. When did a majority of the people arrive? 
a)
7:00-7:59 P.M.
b)
8:00–8:59 P.M.
c)
9:00–9:59 P.M.
d)
10:00–10:59 P.M. 
27.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
28.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
29.

What is the likely means of measurement for the data set?

a)

scale

b)

measuring cup

c)

ruler

d)

stopwatch

30.

How many people were at the bowling alley?

(a)  

31.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
32.
If Gold's Gym paid $250 for each TV, how many did they buy?
a)
35
b)
30
c)
45
d)
20
33.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
34.
Simplify 8/12
a)
2/3
b)
3/4
c)
1/2
d)
4/6
35.
What number would you divide your numerator and denominator by when simplifying this fraction?  6/9
a)
2
b)
3
c)
6
d)
9
36.
Simplify 12/15
a)
4/5
b)
3/5
c)
6/10
d)
2/3
37.
Simplify  4/16  to lowest terms.
a)
4/16
b)
2/8
c)
1/4
d)
4
38.
Solve this mixed number equation:
1⅔ + 1⅚
a)
3 1/2
b)
2 7/6
c)
3 7/6
d)
2 7/9
39.
Yao drank 11 /bottles of water during a soccer game. What is the number expressed as a mixed number?
a)
3 1/4
b)
2 3/4
c)
2 1/2
d)
2 1/4
40.
6  2/5 + 4  1/5 =
a)
10  4/5
b)
10  3/5
c)
10  1/5
d)
10
41.
3/6 + 10/12
a)
1 1/12
b)
13/18
c)
1 4/12
d)
13/12
42.
What is 8/9 - 5/6?
a)
1/18
b)
3/4
c)
6/7
d)
10/12
43.
What is 9/10 - 3/4?
a)
5/7
b)
3/20
c)
3/8 
d)
9/10
44.
What is 2/3 x 2/3 
a)
4/9
b)
2/3
c)
4/3
d)
4/6
45.
1/2 x 3/4 (simplify if needed)
a)
3/8
b)
3/4
c)
4/6
d)
3/2
46.
2/5 divided by 3/4
a)
8/15
b)
6/20
c)
3/10
d)
3/20
47.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
48.
Change 5  3/4 into an improper fraction
a)
23/4
b)
4/23
c)
20/4
d)
5 4/3
49.

What is the reciprocal of 5?

a)

5/1

b)

1/5

c)

-5

d)

-1/5

50.
Write 9/5 as a mixed number.
a)
1    4/5
b)
1    4/9
c)
5   1/4
d)
4   1/5
51.

Find the product and write the answer in simplest form:

3 5/9 x 4 4/8

a)

12 20/72

b)

16

c)

10 7/8

d)

12 9/17

52.
a)
5 7/12
b)
4 7/12
c)
5 5/12
d)
4 5/12
53.
a)
5 1/1 = 6
b)
5 1/12
c)
4 11/12
d)
5 11/12
54.
a)
4  2/3
b)
3  4/5
c)
5  2/7
d)
5  1/6
55.
a)

4 11/30

b)

2 1/30

c)

2 11/30

d)

4 2/11

56.
a)

8 11/12

b)

2 5/12

c)

8 1/12

d)

2 1/12

57.
a)

8 23/40

b)

4 7/40

c)

8 22/40

d)

4 2/40

58.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

1 7/8

b)

3 2/6

c)

3 1/3

d)

2 1/8

59.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

2 14/15

b)

4 7/12

c)

44/15

d)

2 13/15

60.

Simplify your answer as much as possible...

a)

25/33

b)

60/15

c)

20/33

d)

55/15

61.
Multiply. 
a)
12 5/6
b)
77/6
c)
6/77
d)
12 6/5
62.

Multiply.

a)

3 1/10

b)

85/20

c)

4 5/20

d)

4 1/4

63.
Multiply.
a)
23/3
b)
5 3/12
c)
7 2/3
d)
92/12
64.
Multiply. 
a)
34 1/2
b)
69/2
c)
345/10
d)
28 3/10
65.
A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.
a)
60
b)
−60 feet
c)
60 feet
d)
−60
66.
Which of these situations can be represented by the opposite of 4?
a)
You climb up 4 flights of stairs.
b)
You walk down 4 flights of stairs.
c)
The temperature rises 4⁰F.
d)
A plant grows 4 inches taller.
67.
Find the sum of   5 + (−4)
a)
9
b)
−9
c)
4
d)
1
68.
Which of the following are sums of additive inverses?
a)
8+8
b)
8+0
c)
8+(−8)
d)
−8+(−8)
69.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
70.
⅗+(−⅕)=
a)
b)
−⅖
c)
71.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
72.
Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house?
a)
9.3 miles
b)
2.7 miles
c)
3.3 miles
73.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
74.
45
a)
Rational 
b)
Irrational
75.
1/2
a)
Rational
b)
Irrational
76.
3.4567...
a)
Rational
b)
Irrational
77.
2 3/5 
a)
Rational
b)
Irrational
78.
Calculate
0.6÷5
a)
0.1
b)
0.12
c)
0.012
d)
1.02
79.
Calculate
1.08÷4
a)
2.7
b)
0.27
c)
2.07
d)
.20
80.
Calculate
7.8÷0.03
a)
2.6
b)
26
c)
260
d)
.26
81.
Calculate
5.75÷0.25
a)
0.23
b)
2.3
c)
2.03
d)
23
82.
Big Money Pedro bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. How much does the steak cost?
a)
$4.20
b)
$6.90
c)
$22.50
d)
$6.30
83.
If you multiply 0.73 by 2.52, how many times would you move the decimal?
a)
2
b)
3
c)
4
d)
5
84.
4 x 0.03
a)
12
b)
0.12
c)
120
d)
0.012
85.
0.53 * 6.4
a)
0.3392
b)
3.392
c)
33.92
d)
339.2
86.
Add the decimal into this number:
2.39 x 4.37 = 104443
a)
10.4443
b)
104.443
c)
10444.3
d)
1.04443
87.
8.65 * 4
a)
32.48
b)
34.6
c)
34.8
d)
346
88.
7.9-3.47=
a)
11.37
b)
4.43
c)
3.32
d)
4.37
89.
55.78+4.6=
a)
60.28
b)
55.32
c)
56.44
d)
60.38
90.
7.05-4.6=
a)
2.45
b)
3.65
c)
11.65
d)
11.45
91.
94-4.8=
a)
89.2
b)
5.4
c)
90.80
d)
98.8
92.
2.98+5.3=
a)
2.51
b)
8.28
c)
3.63
d)
2.37
93.

Convert 1/2 to a decimal.

a)

0.5

b)

0.50

c)

0.20

d)

0.25

94.

Which of the following are basic rules used for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

95.

16 =k1116\ =\frac{k}{11}  


The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

96.

Solve for y in the following equation:

y ÷ 3 = 12

a)

36

b)

-36

c)

4

d)

-4

97.

Solve for z in the following equation:

z - 33 = 147

a)

z= 114

b)

z = 177

c)

z = 180

d)

No Solution

98.

Solve for h in the following equation:

0 = 4h

a)

h = 0

b)

g = 1

c)

h = 1

d)

g = 0

99.

Which equations has w = 8 as the solution? (can be more than one equation)

a)

8w= 64

b)

16w = 240

c)

8 - w = 16

d)

48 ÷ w = 6

100.

Solve for p in the following equation:

4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

101.

Solve for x in the following equation:
x4\frac{x}{-4}  = 9

a)

13

b)

36

c)

-36

d)

49\frac{-4}{9}  

102.

Solve for the variable (a) in the following equation:


32 = -8a

a)

4

b)

-4

c)

40

d)

24

103.

In the equation


x + 7 = 12


7 is being added to the variable, x.

How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.

The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

104.
x − 4 ≤ 6
a)
x ≤ 10
b)
x ≥ 10 
c)
x ≥ 2
d)
x ≤ 2
105.

Would you rather eat a hot dog or a pickle

a)

Hot Dog

b)

Pickle

106.

Would you rather lose all of your money and valuables or all of the pictures you have ever taken?

a)

The Monetary "Valuables"

b)

Every Picture Ever Taken

c)

I have no response for this.

d)

Your money or your memories?

107.

Would you Rather: Be Famous, or the Best friend of some who is?

a)

Be Famous

b)

Be the Best Friend to someone who is Famous

c)

Neither

d)

I already am, Didnt you get the memo?

108.

Would you rather be able to Make any Imaginary Thing become reality by just drawing it, or Make any Real thing disappear by drawing it and erasing it.

a)

Imaginary Thing become reality by just drawing it.

b)

Make any Real thing disappear by drawing it and erasing it.

c)

I cant Draw that would be Dangerous.

d)

I already own a Magical notebook !

109.

Would you rather eat icecream

or would you rather eat cake?

a)

Cake!

b)

Icecream!

110.

Would you rather Live in L.A

or live in the Bahamas?

a)
b)
111.

Would Rather Live on ...

a)
b)
112.

Would you rather be trapped in a fish tank or a snow globe?

a)
b)
113.

Name that tune.

a)

Pharrell Williams "Happy"

b)

Daft Punk "Fifteen Hundred Hall Posse"

c)

Robin Thicke "Blurred Lines"

d)

Bruno Mars "Locked out of heaven"

114.

Name the group.

a)

English Impact Girls

b)

Beach Boys

c)

Beastie Boys

d)

Backstreet Boys

115.

What is the name of this song?

a)

Another One Bites the Dust

b)

Social Studies Champions of HCPS

c)

Bohemian Rhapsody

d)

We Will Rock You

116.

Which Disney movie?

a)

101 Dalmations

b)

Mary Poppins

c)

Hercules

d)

Toy, a Story read during AHR

117.

Who sings this song?

a)

Jackson 5 = 2(y + 2) = math dept rocks

b)

Michael Jackson

c)

Michael Jordan

d)

Michael Buble

118.

Name the artist.

a)

Bruno Mars

b)

Ed Sheeran

c)

Justin Timberlake

d)

Justin Bieber aka that kid in 2814

119.

Guess the song title

a)

Blackbird

b)

Here Comes The Sun

c)

Sun, Sun, Here it Comes

d)

I Want to Hold Your Hand, but first scrub it for 20 seconds

120.

Name that tune.

a)

Cyndi Lauper "Girls just want to have fun"

b)

Madonna "Material Girl"

c)

Tiffany "I think we're alone now"

d)

E. Bourne "80's Will Never Die"

121.

Name the artist.

a)

Lil Boosie

b)

Lil Yachty

c)

Lil Oaster

d)

Lil Wayne