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SOL Review 6th Grade Math

Total questions: 75

Worksheet time: 13hrs 30mins

Name
Class
Date
1.

Find the missing value(s) for the ratio table.

a)

a = 36

b = 108

b)

a = 108

b = 36

c)

a = 32

b = 90

d)

a = 108

b = 90

2.

Find the missing value for the ratio.

a)

3

b)

9

c)

7

d)

21

3.
What is C?
a)
80
b)
24
c)
96
d)
92
4.
Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players? 
a)
10 : 3
b)
10:13
c)
3 : 10
d)
3:13
5.

What are three ways to write a ratio for the amount of dogs compared to the number of cats.

a)

7:11

b)

11:7

c)

11 to 7

d)

11/7

e)

12 to 7

6.

Convert to a percent:

0.35

a)

35/100

b)

0.035%

c)

35%

d)

.35%

7.

Change to a percent

3/4

a)

34%

b)

.75%

c)

1.3%

d)

75%

8.

Change to Percent

17/20

a)

30%

b)

34%

c)

17%

d)

85%

9.

Change to a Percent

1.07

a)

1.07%

b)

.00107%

c)

107%

d)

10.7%

10.

Change to a Fraction

18%

a)

18/100

b)

18/50

c)

0

d)

9/50

11.

Convert to a percent

0.375

a)

37%

b)

37.5%

c)

.375%

d)

37

12.

Evalute:

23 ÷(5-1)

a)
1.5
b)
2
c)
1
13.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition 
14.

30−6+(−4)3^0-6+\left(-4\right)  
Simplify the expression. 



(a)  

15.

72−4+57^2-4+5  
Simplify the expression. 



(a)  

16.

What is the Absolute Value of |-6|?

a)

6

b)

-6

c)

-16

d)

0

17.
What is the absolute value of -2756?
a)
2756
b)
-2756
c)
-1/2756
d)
1/2756
18.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
19.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
20.

|-11| -|- 8| + |−16|

a)

19

b)

-19

c)

13

d)

-13

21.

In Buffalo, NY, the temperature was -14 degrees in the morning. If the temperature dropped 7 degrees, what is the temperature now?

**only answer with the integer, NO WORDS**

(a)  

22.

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

**only answer with the integer, NO WORDS**

(a)  

23.

In an online practice test, Jack scores 18 points for the questions he answered correctly and gets -2 points for each incorrect answer. Jack answered 3 questions incorrectly. How many points did Jack score?

**only answer with the integer, NO WORDS**

(a)  

24.

Bryan works as an underwater photographer. He starts at a position that is 15 feet below sea level. He rises 9 feet, then descends 12 feet to take a photo of a coral reef. What is his current depth?

**only answer with the integer, NO WORDS**

(a)  

25.
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
26.
Write an inequality for this situation:
You must be at least 18 years old to join the military.
a)
x > 18
b)
x < 18
c)
x ≥ 18
d)
x ≤ 18
27.
Translate the word phrase:
The speed limit is 45 miles per hour.
a)
x > 45
b)
x < 45
c)
x ≤ 45
d)
x ≥ 45
28.
Translate the word phrase:
Each person can have no more than 4 pieces of pizza.
a)
x > 4
b)
x < 4
c)
x ≤ 4
d)
x ≥ 4
29.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
30.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
31.
6x = 30
a)
x = 5
b)
x = 24
c)
x = 6
d)
x = 36
32.

r - 18 = 27

a)

r = - 45

b)

r = 45

c)

r = - 9

d)

r = 9

33.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
34.

x + 9 > 17

a)

x > -8

b)

x > 8

c)

x > 26

d)

x > -26

35.

r - 12 ≥ 17

a)

r ≥ 5

b)

r ≥ -29

c)

r ≥ 29

d)

r ≥ -5

36.

h - 2.7 ≤ 7

a)

h ≥ -3.4

b)

h ≥ -9.7

c)

h ≤ 9.7

d)

h ≤ 3.4

37.

Which numbers are possible solutions for the inequality numbered below? (Pick more than one answer)

a)

11

b)

13.5

c)

-12

d)

14

38.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
39.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
40.

Which value of x is NOT in the solution set shown on the number line?

a)

-6

b)

-5.3

c)

-4

d)

-4.1

41.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
42.

What inequality does the number line represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

43.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
44.

What is the diameter of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

45.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

46.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

47.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
48.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
49.

What is the area of a rectangle that has a length of 8 feet and a width of 6 feet?

a)

14 squared feet

b)

40 squared feet

c)

48 squared feet

d)

15 squared feet

50.

Which measurement below has a perimeter of 18?

a)

Length = 7; Width = 7

b)

Length = 10; Width = 8

c)

length = 2; width = 9

d)

length = 2; width = 7

51.

The area of a shape is 36. The length is 12. What is the width of the shape?

a)

4

b)

24

c)

3

d)

36

52.
Adam was painting a wall in his room. The wall was 4 feet wide and 4 feet tall. What is the area of the wall he has to paint?
a)
16ft
b)
8ft
c)
12ft
d)
4ft
53.

Ashley wants to use ribbon to put a border around her picture. The picture is 6 inches long and 4 inches wide. How much border will she need?

a)

24 inches

b)

20 inches

c)

10 inches

54.
a)
4 km2
b)
16 km2
c)
64 km2
d)
8 km2
55.
Find the perimeter of this triangle.
a)
20 cm
b)
35 cm
c)
40 cm
d)
12.5 cm
56.

Find the area of the parallelogram.

a)

56cm2

b)

28cm2

c)

32cm2

d)

16cm

57.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
58.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in2 
59.

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
60.

Patricia recorded the prices of watches at a store. The prices are shown in the table.

Watches

Prices (dollars)

15

22

16

24

16

20

12

27


What is the median price of the watches in dollars?

a)

18

b)

16

c)

19

d)

15

61.

The value that appears the most often in a set of data is...

a)

mean

b)

median

c)

mode

d)

range

62.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
63.
The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
a)
The mean will decrease
b)
The median will decrease
c)
The mean will increase
d)
The median will increase
64.
A value that is much higher or much lower than the other values in a set of data.
a)
Outlier
b)
Box Plot
c)
Range
d)
Histogram
65.
Given the following data set
6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14
What is the mean of the data set without the outlier(s)?
a)
9.2
b)
9.7
c)
11.1
d)
12.4
66.
A data set is shown below.
56, 64, 73, 59, 98, 65, 59
If the outlier is removed from the data set, which measure of central tendency will be least affected?
a)
range
b)
mode
c)
median
d)
mean
67.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
68.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
69.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
70.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
71.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
72.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
73.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
74.

Find the distance for :

(4,8) and (-9,8)

a)

-13 Units

b)

5 Units

c)

13 Units

d)

-5 Units

75.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

6 units

d)

8 units