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WorksheetsMath Review for 6th Grade
Total questions: 64
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
2.
88 students for 4 classes
How many students per class?
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
3.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
4.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
5.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
6.
Solve this equation using the least common denominator.
¼ + ½
¼ + ½
a)
3/4
b)
2/8
c)
6/4
d)
6/8
7.
Solve this mixed number equation:
1⅔ + 1⅚
1⅔ + 1⅚
a)
3 1/2
b)
2 7/6
c)
3 7/6
d)
2 7/9
8.
Yao drank 11 /4 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
9.
What is the least common denominator of 1/2 and 3/7?
a)
2
b)
14
c)
7
d)
28
10.
7/8 - 7/12
a)
7/24
b)
1/4
c)
7/12
d)
4/24
11.
1/2 - 1/8
a)
5/8
b)
2/5
c)
3/8
d)
5/6
12.
7 3/4 - 6 1/4
a)
1 1/2
b)
3 3/5
c)
1 3/4
d)
2 5/7
13.
4 7/12 - 2 2/3
a)
1 3/4
b)
1 11/12
c)
2 5/7
d)
2 8/9
14.
What is 2/3 x 2/3
a)
4/9
b)
2/3
c)
4/3
d)
4/6
15.
Find the product.
a)
3/50
b)
30/5
c)
6
d)
1 1/5
16.
Find the value of
1½ x 3½. Simplify.
1½ x 3½. Simplify.
a)
¾
b)
⅚
c)
1¾
17.
Laney bought 1 2⁄3 pounds of grapes. She also bought bananas that were 2 1⁄4 times the weight of the grapes. How much did the bananas weigh?
a)
4 3⁄4 pounds
b)
3 3⁄4 pounds
c)
4 4⁄3 pounds
d)
3 4⁄3 pounds
18.
5/9 divided by 10
a)
1/18
b)
5 5/9
c)
5/90
d)
10
19.
Name the reciprocal for 3/27
a)
27/3
b)
9
c)
1/9
d)
3/27 does not have a reciprocal
20.
36 divided by 3/4
a)
36
b)
10
c)
48
d)
13 1/3
21.
2 ÷ 1∕4 =
a)
1/8
b)
8
c)
12
d)
1/12
22.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
23.
In which quadrant is the following point?
(-3, 12)
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
24.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
25.
Name the quadrant where POINT B is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
26.
Compare: -3 ___ -5
a)
-3 > -5
b)
-3 = -5
c)
-3 < -5
27.
Order from least to greatest: -5, -17, 3, 0
a)
3, 0, -5, -17
b)
3, 0, -17, -5
c)
-17, -5, 0, 3
d)
-5, -17, 0, 3
28.
Order the following integers from greatest to least
3, -4, 6
3, -4, 6
a)
3, -4, 6
b)
6, 3, -4
c)
6, -4, 3
d)
3, -4, 6
29.
Negative integers are ____ than zero
a)
greater
b)
equal
c)
less
d)
bigger
30.
How do you change a decimal to a percent?
a)
Move the decimal 2 places to the the LEFT or multpliy by 100
b)
Move the decimal 2 places to the the RIGHT or multiply by 100
31.
0.23 + 0.4
a)
0.63
b)
0.27
c)
4.23
d)
0.234
32.
0.73 + 0.02
a)
0.75
b)
0.93
c)
0.732
d)
1.03
33.
0.835 - 0.423
a)
0.418
b)
0.412
c)
0.512
d)
0.402
34.
0.835 - 0.423
a)
0.418
b)
0.412
c)
0.512
d)
0.402
35.
16.3 - 4.156
a)
12.244
b)
12.454
c)
12.144
d)
13.144
36.
52.6 X 8.2 =
a)
526.41
b)
431.32
c)
478.10
d)
400.12
37.
63.1 X 2.2 =
a)
138.82
b)
245.87
c)
423.59
d)
100.25
38.
Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?
a)
110 miles
b)
105.6 miles
c)
88.16 miles
d)
26.8 miles
39.
2.8 ÷ 4
a)
7
b)
0.7
c)
0.07
d)
70
40.
2.8 ÷ 0.4
a)
7
b)
0.7
c)
0.07
d)
70
41.
1.8 ÷ 2
a)
9
b)
90
c)
0.9
d)
0.09
42.
Convert to a decimal
2/8
2/8
a)
.25
b)
.34
c)
.75
d)
.44...
43.
What is the fraction for the decimal 0.6?
a)
1/6
b)
6/100
c)
3/6
d)
3/5
44.
Write .506 as a percent.
a)
5.06%
b)
506%
c)
50.6%
d)
500.6%
45.
What percent is in color?
a)
620%
b)
1/2
c)
60%
d)
62%
46.
Simplify this expression:
-7w + (-6) + 5 + (-9w)
a)
-2w - 1
b)
-16w - 11
c)
-16w - 1
d)
-2w + 11
47.
Find the simplified equivalent expression:
2.1 - 3.7c + 1.9c - 1.4
a)
1.8c + 0.7
b)
3.5 - 5.6c
c)
4.9c
d)
0.7 - 1.8c
48.
CHOOSE ALL ANSWERS THAT ARE CORRECT (SELECT ALL)
Which pairs are like terms in the expression below?
2/3y + 5y - 1/5x + 2 - 3/4x +7
a)
2/3y and 5y
b)
- 1/5x and 2/3y
c)
2 and 7
d)
7 and 5y
e)
- 3/4x and - 1/5x
49.
Use distributive property to expand this expression:
2w( - 4.5 - 2.7x)
a)
-9w - 2.7x
b)
2w - 4.5 - 2.7x
c)
-9w - 5.4x
d)
-9w - 5.4wx
50.
Using the GCF, what is the factored form of 18f - 45
a)
3(6f - 15)
b)
9(2f - 5)
c)
6(3f - 5)
d)
18(f - 3.5)
51.
What does the (E) in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
52.
True or false:
4x5 and 4∗5 mean the same thing.
4x5 and 4∗5 mean the same thing.
a)
True
b)
False
53.
Solve for X: 3 + x = 7
a)
4
b)
-4
c)
3
d)
-3
54.
Solve for y: y + 5 = -20
a)
15
b)
-5
c)
-15
d)
-25
55.
Solve for h: h + 4.3 = 9.4
a)
13.7
b)
5.1
c)
-13.7
d)
-5.1
56.
Solve for t: t - 6 = -8.2
a)
14.2
b)
2.2
c)
-2.2
d)
-14.2
57.
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
The following equation can be used to find the amount of money she will raise.
m=75d
Which of the variables is dependent?
m = the amount of money Sarah will raise
d = the distance Sarah walks
The following equation can be used to find the amount of money she will raise.
m=75d
Which of the variables is dependent?
a)
m
b)
d
c)
75
d)
Sarah
58.
Samantha 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
The number of treats she will bring can be found using the equation
t=3s+5
Which of the variables is independent?
t = the number of treats
s = the number of students
The number of treats she will bring can be found using the equation
t=3s+5
Which of the variables is independent?
a)
s
b)
t
c)
3
d)
5
59.
The graph shows the distance traveled by a family on a road trip . They will travel 25 miles each hour. Which statement is true about the situation?
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
60.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
61.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
62.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
63.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
64.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
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