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6th Grade Math Review

Total questions: 100

Worksheet time: 7hrs 8mins

Name
Class
Date
1.

Which statement about the opposite of a number is correct?

a)

The opposite of 5 is 1/5.

b)

The opposite of 0 is 0.

c)

The opposite of -5 is 0.

d)

The opposite of -5 is 1.

2.

Which number line shows a point graphed at every location that represents a number with an absolute value of 4.5?

a)
b)
c)
d)
3.

Elliot plants lettuce and onions in his garden. He always plants the same ratio of let's plants to onion plants, as shown in the table. Based on the information in the table, how many onion plants would Elliot plant for 1 lettuce plant?

a)

3

b)

4

c)

6

d)

9

4.

Which expression has the least value?

a)

41 + 12

b)

43

c)

25 - 42

d)

44 - 160

5.

An algebraic expression is described below.


six more than the product of four times the difference between x and 3


What is the value of the expression when x = 8?

a)

14

b)

26

c)

35

d)

50

6.

Marty read x books. Jackie read 28 books, which is 6 more than the number of books Marty read. The equation below can be used to find the number of books Marty read.


x + 6 = 28


Ron read 3 times as many books as Marty. How many books did Ron read?

a)

22

b)

34

c)

66

d)

78

7.

A store is having a sale. All items are discounted 20% off the original price. Which table shows the relationship between the original price and the discount?

a)
b)
c)
d)
8.

What is the volume of the rectangular prism?

a)

89 1/4 cm3

b)

203 1/2 cm3

c)

576 1/8 cm3

d)

610 1/2 cm3

9.

Which net could form the three-dimensional figure when folded along the dashed line segments?

a)
b)
c)
d)
10.

A band has an album with 9 songs on it. The lengths of the songs, in seconds, are listed below.


181, 134, 155, 201, 265, 94, 326, 298, 326


What is the median song length, in seconds, of the 9 songs on the band's album?

a)

201

b)

220

c)

265

d)

326

11.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
12.
Find the mean of these numbers:
5,11, 2,12, 4, 2
a)
4.1
b)
6
c)
4.5
d)
4
13.
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
14.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
15.
If you start at (0,0) and you run 2 miles East and 4 miles North. What plot would you be at on a coordinate grid?
a)
(2,4)
b)
(-4,2)
c)
(4,2)
d)
(-2,4)
16.
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
17.
What is the GCF of 12 and 16? 
a)
4
b)
8
c)
12
d)
2
18.
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
19.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
20.
solve for x
x - 8 = 30
a)
22
b)
3.75
c)
38
d)
240
21.
Whats the area of the triangle?
a)
24cm³
b)
24cm²
c)
12cm²
d)
12cm³
22.
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
23.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
24.
Find the GCF of the pair of numbers: 60 and 72
a)
12
b)
6
c)
2
d)
18
25.
GCF of 99 and 54
a)
9
b)
3
c)
6
d)
8
26.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?
a)
$0.08
b)
$25
c)
$12
d)
$12.50
27.

There are 75 pieces of candy in a 15 oz bag.

How many pieces are there per ounce?

a)

5 pieces

b)

0.2 pieces

c)

50 pieces

d)

60 pieces

28.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
29.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
30.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

d)

2 ∗ y + 5

31.

At the toy store, there are 28 teddy bears. They are placed equally on 4 shelves. How many bears are on each shelf?

a)

12 bears

b)

4 bears

c)

7 bears

d)

2 bears

32.

A net is shown. Which three dimensional figure is represented by the net?

a)
b)
c)
d)
33.

What is the distance between (3,10) and (3,-8) on a coordinate grid?

a)

2

b)

3

c)

18

d)

8

34.

An equation is given.


2x = 26


Which calculation would need to be done to solve the equation?

a)

Divide both sides by 2.

b)

Divide both sides by 26.

c)

Multiply both sides by 2.

d)

Multiply both sides by 26.

35.

Luis and Erin are playing a grade. They both start at 0 points. At the end of the game Luis had 250 points and Erin has -250 points.


Which statement about the game is true?

a)

Erin has lost 250 points.

b)

Luis has 250 more points than Erin.

c)

They have a combined total of 500 points.

d)

Erin and Luis have an equal amount of points.

36.

What is the opposite of -3.2?

a)

0

b)

6.4

c)

3.2

d)

-3.2

37.

The results of a class survey of how many pets each student has are shown.


Which dot plot represents the results?

a)
b)
c)
d)
38.

Points A and B are shown.


What is the distance, in units, between point A and point B?

a)

5

b)

12

c)

10

d)

20

39.

The table shows the average monthly temperatures in degrees Celsius in Alaska from November to February.


Which month has an average lower temperature that is colder than December's?

a)

November

b)

January

c)

February

40.

A printer prints 75 pages in 5 minutes. At the same rate, how many pages will the printer print in 7 minutes?

a)

15 pages

b)

75 pages

c)

105 pages

d)

225 pages

41.

Casey has a total of 18 pens. Twelve of the pens are blue and the rest are red.


What is the ratio of blue pens to red pens?

a)

1 : 2

b)

2 : 1

c)

2 : 3

d)

3 : 2

42.

An expression is shown.


5n


What word describes the 5 in the expression?

a)

Coefficient

b)

Constant

c)

Variable

d)

Exponent

43.

An inequality is shown.


5+x > 9


What is the simplified inequality?

a)

x > 14

b)

x > 3

c)

x > 20

d)

x > 4

44.

There are 5 boys and 15 girls in a class. what is the ratio of girls to boys?

a)

5:10

b)

1:3

c)

15:5

d)

10:20

45.

john is a teen and his 2 friends are going to the movies.it cost $10 for two adults. and it cost $6.00 for three teens. if one of john's friends is a adult, how much would it cost for all of them to go?

a)

9

b)

23

c)

12

d)

4

46.
What is A?
a)
84
b)
7
c)
28
d)
82
47.
Find the Least Common Multiple (LCM) of 12 & 18
a)
36
b)
48
c)
60
d)
72
48.
more than
a)
<
b)
>
c)
≤
d)
≥
49.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
50.
The middle number in an ordered set of data.
a)
mean
b)
mode
c)
range
d)
median
51.
The difference between the greatest and least value in a data set.
a)
range
b)
median
c)
mode
d)
mean
52.
The distance around two-dimensional object
a)
range
b)
perimeter
c)
volume
d)
divisor
53.
The number of cubic units needed to fill three-dimensional object.
a)
Volume
b)
Perimeter
c)
Area
d)
Mode
54.
The number of square units needed to cover a two-dimensional shape
a)
quotient
b)
volume
c)
area
d)
perimeter
55.
Which of these numbers is a multiple of 4?
a)
2
b)
9
c)
15
d)
20
56.
What are the multiples of 9?
a)
9, 12, 15, 18, 21
b)
9, 18, 27, 36, 45, 54
c)
3, 6, 9, 12, 15, 18
d)
9, 19, 29, 39, 49, 59
57.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
58.
Multiples of 20:    20, 40, 60, 80, 100, 120
Multiples of 60:   60, 120, 180, 240, 300
What is the LCM?
a)
20
b)
120
c)
There isn't one.
d)
60
59.
Multiples of 10:  10, 20, 30, 40, 50, 60
Multiples of 15:  15, 30, 45, 60, 75
Find LCM
a)
10
b)
15
c)
30
d)
60
60.
A pizza has 5 pieces. Sara eats 3 of the pieces. What fraction of the pizza did Sara eat?
a)
3/5
b)
2/5
c)
5/5
d)
1/5
61.
Which number shows seventy-three hundredths in standard form?
a)
7,300
b)
7.3
c)
0.73
d)
0.073
62.
Which digit shows the tenths place value in 520.345?
a)
5
b)
4
c)
3
d)
2
63.
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
64.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
65.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
66.
take 10 away from s 
a)
10 - s 
b)
s + 10
c)
s - 10
d)
s/10
67.
The total of b and 14 
a)
14 - b
b)
14/b
c)
14 + b 
d)
b - 14 
68.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm 
69.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
70.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
71.
To calculate the amount of carpeting needed for your bedroom, which of the following should you find: 
a)
Area
b)
Perimeter
c)
Surface Area
d)
Volume
72.
Find the PERIMETER of this figure.
a)
25 cm
b)
20 cm
c)
10 cm
d)
20 sq. cm
73.
Do you multiply or add when you find the perimeter?
a)
Multiply
b)
Add
74.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
75.
length=2
width=2
height=3
a)
Volume=12
b)
Volume=7
c)
Volume=223
d)
Volume=18
76.
Which number is greatest? 
0.567
0.657
0.700
a)
0.657
b)
0.567
c)
0.700
d)
none of the above
77.

What percent is 12 out of 30?

a)

40%

b)

6%

c)

.6%

d)

16%

78.

What percent is 16 out of 20?

a)

8%

b)

85%

c)

16%

d)

80%

79.

What percent is 24 out of 30?

a)

8%

b)

80%

c)

25%

d)

14%

80.

If I bought 7 bananas for $3.71, how much is the cost per banana?

a)

$0.53

b)

$0.70

c)

$0.35

d)

$0.25

81.

Select the integers that are increasing (smallest to largest) in order, going left to right.

a)

-5, -7, -10, 0, 1

b)

0, 1, -5, -7, -10

c)

-10, -7, -5, 0, 1

d)

1, 0, -10, -5, -7

82.

Select the integers that are increasing (smallest to largest) in order, going left to right.

a)

0, 2, 4, -6, -8

b)

-8, -6, 0, 2, 4

c)

-6, -8, 4, 2, 0

d)

-6, -8, 0, 2, 4

83.

I have 4 circles and 5 stars. What is the ratio of circles to stars?

a)

4:5

b)

5:4

c)

2:3

d)

1:2

84.

Find the unit rate:

10 laps in 15 minutes= _______ laps per minute

a)

2 laps per minute

b)

2/3 laps per minute

c)

1.5 laps per minute

d)

10 laps per minute

85.

Choose the item that is the best buy:

a)

$145 for 15 chairs

b)

$88 for 11 chairs

86.

Which is the better buy?

3 packs of gum for $1.97 or

7 packs of gum for $5.75

a)

3 packs

b)

7 packs

87.

3/8 divided by 2/3

a)

5/11

b)

6/24

c)

9/11

d)

9/16

88.

1599 divided by 123

a)

13

b)

12

c)

16

d)

11

89.

multiply 1.2 and 3.4

a)

408

b)

4.08

c)

8.4

d)

840

90.

810 x 3.1

a)

2.511

b)

2511

c)

241.3

d)

2431

91.

Which of the following represents the location of point A onthe number line below?

a)

-2

b)

-3

c)

-2.5

d)

-3.5

92.

Solve

20-(2+4) ÷ 3

a)

18

b)

4

c)

7

d)

17

93.

Write the expression using exponents, then solve.

6 x 6 x 6 x 6

a)

6x4=24

b)

64= 1296

c)

64= 64

d)

46= 256

94.

y + x + y+ y + x

a)

2 + 3

b)

x + y

c)

2x +3y

d)

5xy

95.

Which of the following solutions satisfies the inequality?

b<7

a)

b=6

b)

b=10

c)

b=8

d)

b=9

96.

Combine like terms.

4x + 5x - 6x

a)

15x

b)

3x

c)

9x

d)

3

97.

Select the statistical question.

a)

How many students walk to school each day?

b)

How many miles is it from Martin to Dresden?

c)

How many students attend DMS?

98.

What 3D figure does the net make?

a)

cube

b)

triangular pyramid

c)

triangular prism

d)

pyramid

99.
Find the missing term in the equivalent ratio
35 : 25=___: 5
a)
5
b)
7
c)
6
d)
8
100.
Express the percent as a decimal
37%
a)
.2
b)
3.7
c)
.37
d)
37

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