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Worksheets6th Grade Math State Test Mega Review
Total questions: 130
Worksheet time: 2hrs 11mins
Name
Class
Date
1.
Factors of the number 12 include..
a)
1,2,3,4,6,12
b)
12,24,36,42
c)
3,6,9,12
d)
12 has no factors
2.
what is the LCM of the numbers 2 and 3
a)
3
b)
2
c)
4
d)
6
3.
what is the GCF of 12 and 6?
a)
6
b)
2
c)
4
d)
1
4.
what is a multiple of 5?
a)
33
b)
22
c)
55
d)
11
5.
a)
10 hamburgers
b)
2/20 hamburgers
c)
8 hamburgers
d)
14 hamburgers
6.
6/7 divided by 3/7
a)
18/7 or 2 4/7
b)
2
c)
3/2 or 1 1/2
d)
1 2/7
7.
a)
2 gallons
b)
1/2 gallons
c)
2 1/2 gallons
d)
4 gallons
8.
a)
14 cookies
b)
1/2 cookies
c)
28 cookies
d)
1/28 cookies
9.
A team of runners is needed to run a 1/4 mile relay race . If each runner must run 1/16 mile. How many runners do they need to run the race?
a)
4
b)
5
c)
1/64
d)
2
10.
a)
3 2/7
b)
4 4/7
c)
57/9
d)
5 1/2
11.
What is the reciprocal of 3/4?
a)
4/3
b)
3/4
c)
1/4 lb
d)
none of the above
12.
2.8 ÷ 4
a)
7
b)
0.7
c)
0.07
d)
70
13.
2.8 ÷ 0.4
a)
7
b)
0.7
c)
0.07
d)
70
14.
18.7 x 6 = _
a)
112.2
b)
11.22
c)
112.1
d)
1.121
15.
A florist sells a dozen roses for $29.88. What is the cost of one rose?
a)
$2.41
b)
$2.49
c)
$2.40
d)
$2.08
16.
Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?
a)
$1.30
b)
$6.50
c)
$13.00
d)
$0.65
17.
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
18.
Simplify the ratio of
35 : 14
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
19.
What is a Ratio?
a)
Is a comparison of two quantities
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one
d)
Two decimals that can be multiplied
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.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
22.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
23.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
24.
What is the ratio of votes for yellow to green?
a)
18:9
b)
2:9
c)
9:2
d)
2:18
25.
Cookie Monster makes the perfect cookies. He uses 2 cups of chocolate chips for every 3 dozen cookies. If he makes 54 cookies, how many cups of chocolate chips does he need?
a)
3 cups
b)
16 cups
c)
32 cups
d)
48 cups
26.
A florist is told that 40% of the 350 flowers ordered must be red roses. How many red roses must be in the order?
a)
390 roses
b)
100 roses
c)
140 roses
d)
240 roses
27.
Last night, the Knicks made 12 free throws. If their free throw percentage is 75%, how many free throws were attempted?
a)
9
b)
11
c)
13
d)
16
28.
Last night, the Knicks made 12 free throws. If their free throw percentage is 75%, how many free throws were attempted?
a)
9
b)
11
c)
13
d)
16
29.
Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
a)
20%
b)
40%
c)
60%
d)
80%
30.
What is the ratio of votes for yellow to green?
a)
18:9
b)
2:9
c)
9:2
d)
2:18
31.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
32.
Luke can paint 91 portraits in 7 weeks. How many portraits does he paint each week?
a)
637 cars per week
b)
13
c)
.08 portraits per week
d)
13 portraits per week
33.
At the market, 7 apples cost $4.55. What is the cost per apple?
a)
1.54 apples per dollar
b)
1.54 dollars per apple
c)
$0.65 per apple
d)
not here
34.
Henry can write 5 ¼ pages of his novel in 3 hours. How many pages does he write per hour?
a)
15.25 pages per hour
b)
15.75 pages per hour
c)
1.75 pages per hour
d)
not here
35.
Ken can walk 40 dogs in 8 hours. Determine how many dogs he can walk in one hour.
a)
5 hours per dog
b)
5 dogs per hour
c)
320 dogs per hour
d)
not here
36.
Charles can type 675 words in 9 minutes. How many words can he type per minute?
a)
75 words per minute
b)
6075 words per minute
c)
86 words per minute
d)
75 minutes per word
37.
Find the unit rate of one diaper if a box of 35 diapers costs $6.99.
a)
$244.65
b)
$1.00
c)
$6.99
d)
$0.20
38.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
39.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
d)
I love Math!
40.
The __ - axis is the horizontal axis of the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
41.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
42.
Which axis runs horizontally?
a)
x
b)
y
43.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
44.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
45.
Reflect about the y -axis
(-3 , -6)
(-3 , -6)
a)
3,6
b)
-3,6
c)
3,-6
d)
3,6
46.
Reflect about the x-axis
(9, -1)
(9, -1)
a)
9,1
b)
9,-1
c)
-9,-1
d)
-9,1
47.
What does this show?
a)
reflection over the y-axis
b)
reflection over the y-coordinate
c)
reflection over the x-axis
d)
reflection over the x-coordinate
48.
Your house is at the coordinate (5, 4) and the playground is at (-3, 4). If each number on the number line represents a block, how many blocks is it from your house to the playground?
a)
6 blocks
b)
5 blocks
c)
9 blocks
d)
8 blocks
49.
James is planning to build a house. He wants to put a rose garden at (-2, -5). He wants to have his vegetable garden be at reflected over the Y-axis from the rose garden. What is the ordered pair for the vegetable garden?
a)
(2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(-2,5)
50.
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?
What is the length of the longest side of the rectangle?
a)
4 units
b)
5 units
5 units
5 units
c)
6 units
d)
8 units
51.
What is length of the longest side of the rectangle?
a)
2 units
b)
15 units
c)
14 units
d)
8 units
52.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
53.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
54.
In the coordinate plane, what is the distance between (-3, 5) and (-3, -8)?
a)
3 units
b)
6 units
c)
8 units
d)
13 units
55.
What is the area of the quadrilateral with vertices at (-1, 0), (2, 0), (2, 5), and (-1, 5)?
a)
15 square units
b)
12 square units
c)
10 square units
d)
5 square units
56.
Which situation cannot be represented by the integer -10?
a)
an elevation of 10 feet below sea level
b)
a temperature increase of 10°F
c)
a golf score of 10 under par
d)
a bank withdrawal of $10
57.
Compare -84 and -63
a)
<
b)
>
c)
=
58.
|-4| + |5| =
a)
+1
b)
-1
c)
9
d)
-9
59.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
60.
What decimal represents point J on the number line?
a)
0.4
b)
0.3
c)
3
d)
.03
61.
What fraction is represented at point B?
a)
4/10
b)
4/11
c)
5/11
d)
5/10
62.
What fraction and decimal represents where point "d" is on the number line?
a)
8/10 or 8.0
b)
8/10 or .8
c)
8/100 or .08
d)
8/100 or .8
63.
Which rational number is represented by point E?
a)
−8/10
b)
−0.5
c)
1/10
d)
0.8
64.
Which point on the number line represents −0.5?
a)
E
b)
F
c)
G
d)
H
65.
Which number represents the opposite of point G?
a)
− 1
b)
− 1/10
c)
1/10
d)
1
66.
Which point on the number line represents 1/4 ?
a)
J
b)
K
c)
L
d)
M
67.
Which rational number is represented by point J?
a)
−1 3/4
b)
−1 1/2
c)
−3/4
d)
− 1/2
68.
Which point on the number line represents an integer?
a)
P
b)
Q
c)
R
d)
S
69.
Which rational number is represented by the point R?
a)
−1.6
b)
−0.6
c)
0.6
d)
1.6
70.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
71.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
72.
Choose the equivalent expression for the given expression: 2(r + y)
a)
3ry
b)
2r + y
c)
2r + 2y
d)
3r + 3y
73.
Use the given expression to answer the following question.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.
a)
2
b)
3
c)
4
d)
5
74.
In the given expression, the 4 and the 8 are the ________________ in the expression.
4r + 8u
4r + 8u
a)
variables
b)
terms
c)
coefficients
d)
exponents
75.
In the given expression, the v and the r are called the __________________.
15v - 13r
15v - 13r
a)
terms
b)
exponents
c)
coefficients
d)
variables
76.
An algebraic expression is an expression that _______________________.
a)
contains only numbers
b)
contains numbers, variables, and operations
c)
contains only numbers and operations
d)
contains only variables
77.
What are the terms of the expression 5x - 3y + 4?
a)
5, 3, and 4
b)
5x and 3y
c)
5x, 3y, and 4
d)
5x, -3y, and 4
78.
Simplify
14(b – 10).
14(b – 10).
a)
4b
b)
b – 140
c)
14b – 140
d)
14b – 10
79.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
80.
Which of the following is equivalent to 36?
a)
26
b)
36
c)
62
d)
63
81.
What is another way to write 53
a)
3 x 3 x 3
b)
3 x 3 x 3 x 3 x 3
c)
5 + 5 + 5 + 5 + 5
d)
5 x 5 x 5
82.
What expression represents the area of this shape?
a)
6x + 18y + 12
b)
6x + 3y + 2
c)
6x + 18y + 2
d)
none of those
83.
Is 3x + 9 equivalent to 3(x + 3) + 6?
a)
No
b)
Yes
c)
There's no way to know
84.
Is 3x + 12 equivalent to 3(x + 3) + 3?
a)
Yes
b)
No
c)
There's no way to know
85.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
86.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
87.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
88.
If x = 14, what is 26 + x equal to?
a)
12
b)
50
c)
2614
d)
40
89.
If b = 6 and c = 1, what is b2 - 4c equal to?
a)
8
b)
16
c)
32
d)
35
90.
What is the missing number in the ratio table?
a)
21
b)
24
c)
27
d)
25
91.
What is A?
a)
84
b)
7
c)
28
d)
82
92.
Solve for B in the table.
a)
B= 40
b)
B= 10
c)
B= 9
d)
B= 45
93.
What is A?
a)
84
b)
7
c)
28
d)
82
94.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
95.
11b+7=40
a)
2
b)
1
c)
4
d)
3
96.
Solve for k:
3k + 5 = 23
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
97.
19 + a = -50
a)
a = -950
b)
a = -69
c)
a = -31
d)
a = -50/19
98.
24.3 + n = 125.32
a)
101.02
b)
127.76
c)
1.02
d)
102
99.
m - 25.4 = 105
a)
130.4
b)
79.6
c)
131
d)
80
100.
WRITE AN EQUATION
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
a)
0.5x+4=12
b)
x+4=12
c)
12-4=x
d)
12-4=0.5x
101.
What is the first step to solve this equation:
3x -11=44
3x -11=44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
102.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Maxwell rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Maxwell live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
103.
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
24-10=7x
b)
24-7x=10
c)
10+7x=24
d)
10+x=14
104.
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
24-10=7x
b)
24-7x=10
c)
10+7x=24
d)
10+x=14
105.
Donald, the diver, is 10 feet below sea level.
a)
10 feet
b)
-10 feet
c)
0 feet
106.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
107.
40+(72÷9)÷8
a)
49
b)
25
c)
41
d)
15
108.
16÷2x4-3
a)
5
b)
-1
c)
25
d)
29
109.
[ (6 ÷ 2) x 6 + 4 x 7]
a)
141
b)
49
c)
46
d)
344
110.
[ (8 ÷ 2) x (10 x 5) ] ÷ 5
a)
12
b)
5
c)
40
d)
65
111.
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
112.
Find the area of a parallelogram with a base of 30 m and a height of 25 m
a)
750 m2
b)
375 m2
c)
705 m2
d)
110 m2
113.
Find the area
a)
25 yd2
b)
20 yd2
c)
30yd2
d)
25.5yd2
114.
Find the PERIMETER of this figure.
a)
20 square feet
b)
20 cm
c)
25 square feet
d)
20 cm sq.
115.
Find the area of the triangle.
a)
39 sq feet
b)
30.8 sq feet
c)
78 sq feet
d)
101.4 sq feet
116.
Find the area of the figure
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
117.
Area?
a)
56 in sq
b)
41 in sq
c)
53 in sq
d)
75 in sq
118.
What is the Area of this shape?
a)
56
b)
50
c)
78
d)
I have no idea how to do this. I need to come to tutoring.
119.
Find the area the shaded region
a)
30 units2
b)
9 units2
c)
21 units2
d)
25.5 units2
120.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
121.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
122.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
123.
Find the volume of the prism.
a)
1000 square units
b)
1000 cubic units
c)
100 cubic units
d)
100 square units
124.
What is the volume of this prism?
a)
6 cubic in
b)
12 cubic in
c)
24 cubic in
125.
What is the volume of this prism ?
a)
3/8 in2
b)
1/8 in 3
c)
1/16 in 3
d)
3/16 in 3
126.
What is the volume of the image shown?
a)
3/8 in 3
b)
3/8 in 2
c)
1 3/8 in 3
d)
1 3/8 in 3
127.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
128.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
129.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
130.
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