Grade 6 Math by Lisa Beckius

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Transcript Grade 6 Math by Lisa Beckius

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Thanks to Lisa Beckius, [email protected]; 6th math
1A
Which list of numbers is
ordered from least to greatest?
A.
B.
C.
D.
-9
-2
3
-9
-2
-9
0
0
0
0
-2
-2
3
3
-9
3
A
1B
Which list of numbers is ordered
from greatest to least?
A. -9 -2 0 3
B. -2 -9 0 3
C. 3 0 -2 -9
D. 3 0 -9 -2
C
1C
Which list of numbers is ordered
from least to greatest?
A.
B.
C.
D.
C
8421
8241
8241
8421
8241
8421
8421
8241
102,341
103,420
102,341
103,420
103,420
102,341
103,420
102,341
2A
10
4
=
A. 40
B. 1000
C. 10,000
D. 40,000
C
2B
2 =
16
A. 32
B. 256
C. 266
D. 326
B
2C
Which of the following is
equal to 10,000?
A.
B.
C.
D.
103
104
105
106
B
3A
Which of the following shows
a prime factorization?
D
3B
Which expression is the
prime factorization of 126?
B
3C
Find the smallest number
divisible by 10.
C
4A
C
4B
4C
One large pizza was served to
Alice, Betty, and Cindi.
C
How much of the pizza was left?
5A
Write this sum:
Five and sixty-two hundredths plus
two and three tenths.
A.
B.
C.
D.
5.62 + 3.2
5.062 + 2.03
5.062 + 2.3
5.62 + 2.3
D
5B
Find the difference between:
Eight and twenty-four hundredths
AND three and forty-seven
hundredths
A.
8.024 – 3.047
B.
8.24 – 3.47
C.
8.24 – 4.37
D. . 8.42 – 3.47
B
5C
Charlie earned $42.50 on Monday,
$22.25 on Tuesday, and $31.45 on
Wednesday. How much more
does he need to earn in order to
have a total of $100?
A.
B.
C.
D.
$38.00
$4.80
$3.80
$3.70
C
6A
Find the quotient:
C
6B
Bananas cost $0.90 per pound.
How much would 2.5 pounds cost?
A. $2.25
B. $2.55
C. $3.40
D. $22.50
A
6C
420 students attend West Lake
School. 1/5 of the students are
absent. How many students
ARE in class?
A. 84
B. 336
C. 360
D. 415
B
7A
B
The school canned food drive results are
in. Five students each brought 7 cans,
6 students each brought 4 cans,
and 9 students each brought 3 cans.
Which expression shows the total
number of cans?
A. 5+7+6+4+9+3
B. (5x7) + (6x4) + (9x3)
C. (5+7) x (6+4) x (9+3)
D. (5x7) x (6x4) x (9x3)
7B
Candy costs $2.90 per pound.
Which expression represents the
total cost for 3.2 pounds?
C
7C
Which number is
divisible by 3 and 5?
A. 235
B. 255
C. 2,350
D. 2,345
B
8A
Which of the following is the
most reasonable estimate for
the sum below?
87 + 72 + 127 + 31
A. 220
B. 310
C. 320
D. 330
C
8B
Use estimation to answer this
question. Which sum is less
than one?
C
8C
Candy costs $2.90 per pound. Using
estimation, what is the approximate
cost of 4.1 pounds of candy?
C
A.
B.
C.
D.
$15.00
$12.00
$10.89
$8.00
9A
What are the coordinates of C?
(-1, -2)
9B
What are the coordinates of B?
(2, -1)
9C
What are the coordinates of D?
(-2, 0)
10A
When folded along the lines,
which geometric solid is formed?
A.
B.
C.
D.
cylinder
pyramid
rectangular prism
triangular prism
A
10B
When folded along the lines,
which geometric solid is formed?
A.
B.
C.
D.
cylinder
pyramid
rectangular prism
triangular prism
D
10C
When folded along the lines,
which geometric solid is formed?
A.
B.
C.
D.
cylinder
pyramid
square prism
triangular prism
B
11A
Use the parallelogram to answer
the question. The perimeter of
the parallelogram is 42 cm.
Find the length of side m.
A.
B.
C.
D.
12 cm
18 cm
24 cm
60 cm
A
11B
Use the parallelogram to answer
the question. The perimeter of
the parallelogram is 96 cm.
Find the length of side m.
A.
B.
C.
D.
B
24 cm
28 cm
24 cm
60 cm
11C
Use the parallelogram to answer
the question. The perimeter of the
parallelogram is 36 cm. and m = 12
cm. Find the length of side n.
A.
B.
C.
D.
6 cm
8 cm
10 cm
12 cm
A
12A
The area of the parallelogram is 98
sq. cm. What is b?
A.
B.
C.
D.
C
7 cm.
10 cm.
14 cm.
28 cm.
12B
Find the area of the parallelogram
if b = 22 m and h = 12 m.
A.
B.
C.
D.
C
68 sq. cm.
132 sq. cm.
264 sq. cm.
428 sq. cm.
12C
The base and the height of the
triangle are shown below. If b = 16
ft. and h = 8 ft., then what is the
area of the triangle?
A. 32 sq. ft.
B. 64 sq. ft.
C. 96 sq. ft.
D. 128 sq. ft.
B
13A
Find the volume of this rectangular
prism when
l = 3 ft, w = 4 ft., and h = 5 ft.
A.
B.
C.
D.
C
15 cu. ft.
30 sq. ft.
60 sq. ft.
80 sq. ft.
13B
Find the volume of this rectangular
prism when l = 10 ft., ft, w = 12 ft.,
and h = 8 ft.
A.
B.
C.
D.
D
60 cu. ft.
310 sq. ft.
480 sq. ft.
960 sq. ft.
13C
Find the volume of this
rectangular prism
A. 9 cu. units
B. 12 cu. units
C. 24 cu. units
D. 48 cu. units
C
14A
What is the expression for
this table of numbers?
N
??
14 142
10 102
5
52
2
22
C
A. N + 20
C. 10N + 2
B. 11N - 8
D. 20N - 18
14B
Each student in class has 7
pencils. Which expression
represents the total number
of pencils in class?
A. 7 + x
B. 7x
C. x - 7
D. 7 – x
B
14C
What is the expression for
this table of numbers?
x
??
41
34
30
23
17
10
7
0
A. 2x - 24
C. 3x - 21
B. 7 - x
D. x - 7
D
15A
A librarian purchased 7 books for
$18 each and some magazines for
$5 each. The librarian spent a total
of $186. Which equation shows
how many magazines, m, were
purchased?
A. 7 + 18 + 5m = 186
B. 7(18) = 186 + 5m
D
C. 186 = 7(18) – 5m
D. 186 = 7(18) + 5m
15B
C
A student’s last quiz in English
class was a 89%. This was 13%
more than the previous quiz.
Which equation could be used to
find the quiz score, q, on the
previous quiz?
A.q - 13 = 89
B. q = 89 + 13
C. 89 = q + 13
D. q + 89 = 13
15C
The college had 4,200 stadium
seats to sell for the football game.
Only 467 seats were not sold. How
many stadium seats were sold?
A. 4,667
B. 4,267
C. 3733
C
D. 3743
16A
Aunt Bessie has cookies for her 5
nephews and 4 nieces. She
divided the cookies evenly among
the nephews and nieces. Each
person gets 3 cookies. Which
equation represents the total
number, c, of cookies?
9
5
c
A. = 3 B. = 3c C. = 3 D. 9c = 3
c
4
9
C
16BEach student in class has 7 pencils.
The total number of pencils is 203.
How many students are in the class?
A.
B.
C.
D.
214
200
29
21
C
16C
Find X in this pattern of numbers:
N
N+5
10
15
15
20
20
25
123
X=?
A.30
C.128
B. 118
D. 20N – 18
C
17A
What is the value of:
6 + 3· 2 - 8 ¸ 2
3
26
17B
What is the value of:
12 - (4 + 5) + 2 ¸ 2
4
17C
What is the value of:
4+3 ¸3
2
7
18A
What is the value of 205x + 7
when x = 3?
D
18B
What is the value of 9y + 7
when y= 8?
D
18C
C
19A
What is the value of n in the
equation 4.3n = 21.93?
B
19B
What is the value of y in this
equation?
y + 4.7 = 14
A
19C
What is the value of p in this
equation?
3
11
p +
=
4
12
B
20A
Which step explains how to
find the value of x in this
equation?
A
20B
Which step explains how to find
the value of p in 13p = 143?
A.
B.
C.
D.
add 13 to both sides
divide both sides by 143
multiply both sides by 13
divide both sides by 13
D
20C Which step explains how to find the
value of y in the equation below?
A.
B.
C.
D.
add 71 to both sides
subtract 71 from both sides
multiply both sides by 71
divide both sides by 71
C
21A
D
21B
A
21C
B
22A
Use the “Pts. Scored” below to
answer the questions.
What is the median of the points scored?
What is the mean of the points scored?
What is the mode of the list of numbers?
What is the range of the list of numbers?
2
3
2
4
22B
Use the “Pts. Scored” below to
answer the questions.
What is the median of the list of numbers?
What is the mean of the list of numbers?
What is the mode of the list of numbers?
What is the range of the list of numbers?
3
3
5
5
22C
Use the “Pts. Scored” below to
answer the questions.
What is the median of the list of numbers?
What is the mean of the list of numbers?
What is the mode of the list of numbers?
What is the range of the list of numbers?
2
2
2
3
23A
A bag contains 8 yellow marbles, 5
blue marbles, and 7 red marbles.
Will picks one marble from the bag.
What is the probability that the
marble he chose was NOT a blue
marble?
D
23B
A bag contains 8 yellow marbles, 5
blue marbles, and 7 red marbles.
Will picks one marble from the bag.
What is the probability that the
marble he chose was NOT a yellow
marble?
B
23C
A bag contains 8 yellow marbles, 5
blue marbles, and 7 red marbles.
Will picks one marble from the bag.
What is the probability that the
marble he chose was red?
C
24A
Bob randomly takes a marble from a bag and records
the color in a chart and then returns the marble to the
bag. He does this 50 times. The results of his
experiment are in the table below. What is the
experimental probability of drawing a yellow marble?
D
24B
Bob randomly takes a marble from a bag and records
the color in a chart and then returns the marble to the
bag. He does this 50 times. The results of his
experiment are in the table below. What is the
experimental probability of drawing a purple marble?
B
24C
Bob randomly takes a marble from a bag and records
the color in a chart and then returns the marble to the
bag. He does this 50 times. The results of his
experiment are in the table below. What is the
experimental probability of drawing a black marble?
C
25A
The average daily temperature in five towns
are: -3, 8,0,-15,-8, degrees Fahrenheit. What is
the order of the temperatures from greatest to
least?
A. 0, -3, -8, 8 -15
B. 8, -3,0,-8,-15
C. 8,0,-3,-8,-15
D. 8,0,-15,-8,-3
C. 8, 0, -3, -8, -15
25B
Which list of integers is in
order from least to greatest?
A. -4, -14, 5, 7, 11
B. -4, 5, 7, 11, -14
C. -14, -4, 5, 7, 11
D. 11, 7, 5, -4, -14
C. -14, -4, 5, 7, 11
25C
Which list of integers is in
order from greatest to least?
A. 2, 0, -6, -3
B. 2, 0 , -3, -6
C. -6, -3, 2, 0
D. -6, -3, 0, 2
B. 2, 0, -3, -6
26A
Use the table below to answer the
questions.
Four students traveled over break.
Which one traveled the farthest?
A. Sasha
B. Ben
C. Tiara
D. Juan
C. Tiara
26B
Write the product as a power.
1x1x1x1x1x1
A. 13
B. 61
C. 15
D. 16
D. 16
26C
Tell which power has a greater value.
43 or 62
A. 43
B. 62
C. Equal
A. 43
27A
What is the prime factorization 720?
A. 2 x 2 x 2 x 9 x 5
B. 2 x 2 x 2 x 3 x 5
C. 2 x 2 x 2 x 3 x 3 x 5
D. 2 x 2 x 2 x 2 x 3 x 3 x 5
D. 2 x 2 x 2 x 2 x 3 x 3 x 5
27B
Which expression shows a
prime factorization?
A. 1 x 2 x 4 x 4
B. 2 x 2 x 5 x 7
C. 2 x 3 x 5 x 6
D. 1 x 2 x 2 x 5
B. 2 x 2 x 5 x 7
27C
Which expression shows a prime
factorization?
A. 2 x 9 x 11
B. 3 x 7 x 4
C. 1 x 11 x 13
D. 2 x 2 x 2 x 3 x 13
D. 2 x 2 x 2 x 3 x 13
28A
Use the figure below to answer the
question.
What is the sum of the shaded regions?
A.
B.
C.
D.
1/8
1 1/8
1 5/8
2 5/8
C. 1 5/8
28B
What addition sentence represents
the mode?
+
A.
B.
C.
D.
2/4 + ¼ = ¾
2/8 + 1/8 = 3/8
2/10 + 1/10 = 3/10
3/8 – 1/8 = 2/8
B. 2/8 + 1/8 = 3/8
=
28C
What is ¾ + 1/3 ?
A. 4/7
B. 3/12
C. 1 1/12
D. 1 4/7
C. 1 1/12
29A
Find the sum or difference.
2.88 + 6.7
A. 10.58
B. 9.58
C. 8.58
D. 7.58
B. 9.58
29B
Find the sum or difference.
6. 180 – 1.731
A. 5.651
B. 3.338
C. 4.449
D. 7.911
C. 4.449
29C
Evaluate the expression.
7 – 2.96 + 0.22
A. 4.26
B. 10.18
C. 5.74
D. 3.11
A. 4.26
30A
Bob wants to display his 66 DVDs on
shelves. Each Shelf holds 30 DVDs.
How many shelves will Bob need to
display his entire collection?
A.
B.
C.
D.
2 shelves
3 shelves
6 shelves
7 shelves
B. 3 shelves
30B
Alice buys 5 books at $25 each; 3
tapes at $5 each; and 2 calendars at
$10 each. What is the total cost of
Alice’s purchases?
A. $40
B. $140
C. $150
D. $160
D. $160
30C
Taylor pays $2.40 for 0.5 yards
of fabric. What is the cost per
yard of fabric?
A.
B.
C.
D.
B. $4.80
$1.20
$4.80
$12.00
$48.00
31A
All together Tony and Tabitha have
$65. Tabitha buys a jacket for $19.99.
Tony buys a pair of jeans for $32.65.
How much money remains?
A. $12.36
B. $12.64
C. $13.36
D. $52.64
A. $ 12.36
31B
Sally bought 38.6 lbs of hamburger.
How many 0.5 lbs of hamburger
patties can she make?
A. 19 patties
B. 20 patties
C. 77 patties
D. 78 patties
C. 77 patties
31C
On Monday it snows 1/3 of a foot. On
Tuesday it snows ¾ of a foot. How
many feet did it snow in all?
A. 4/12 feet
B. 4/7 feet
C. 3/12 feet
D. 1 1/12 feet
D. 1 1/12 feet
32A
Use estimation to answer the
question. Which sum is greater than
1.
A. 8/12 + 6/10
B. 5/12 + 5/10
C. 6/12 + 3/10
D. 6/12 + 4/10
A. 8/12 + 6/10
32B
Mice in cage weigh 22.61 ounces,
22.44 ounces, 19.53 ounces, and
21.34 ounces. What is the estimated
total weight of the mice to the nearest
ounce?
A. 80.0
B. 83.8
C. 83.92
D. 84.0
D. 84.0
32C
What is the sum of $7.26 + $5.19,
estimate to the nearest $1.00.
A. $12.00
B. $12.45
C. $12.50
D. $13.00
A. $12.00
33A
A. (1,2)
B. (1,-2)
C. (-2,1)
D. (-2,-1)
B. (1,-2)
33B
What is the
ordered pair for
Point A?
A. (1,2)
B. (-1,2)
C. (2,1)
D. (-2,-1)
A. (1,2)
33C
What are the
coordinates of
Point C?
A. (2,1)
B. (1,4)
C. (2,3)
D. (3,2)
C. (2,3)
34A
What is the ordered pair of Point D?
A. (1,-2)
B. (-1,-2)
C. (-2,1)
D. (-2,-1)
C. (-2,1)
34B
Which geometric solid is formed when
folded along the lines?
A. Cube
B. Cylinder
C. Pyramid
D. Triangular Prism
A . Cube
34C
What shapes make up a cylinder?
A. 2 rectangles and 2 circles
B. 2 triangles and 1 rectangle
C. 2 circles and 2 squares
D. 2 circles and 1 rectangle
D. 2 circles and 1 rectangle
35A
Brett is building a rectangular garden
fence. His garden is 7ft wide and 11ft
long. What is the perimeter of his
garden?
A. 18ft
B. 36ft
C. 72ft
D. 77ft
B. 36ft
35B
Joe wants to put a fence around an
irregular shaped garden. The sides
measure: 15ft, 25ft, 30ft, and 40ft.
How much fence does Joe need?
A. 90ft
B. 100ft
C. 110ft
D. 120ft
C. 110ft
35C
If each side of a regular hexagon is 6
inches long, what is the perimeter of
the polygon?
A. 24in
B. 30in
C. 36in
D. 42in
C. 36in
36A
Find the area of the rectangle, whose
width is 15 meters, and length is 9
meters.
A. 48m2
B. 96m2
C. 35m2
D. 135m2
D. 135m2
36B
Find the area of a 75mm square sticky
note.
A. 300mm2
B. 5,625mm2
C. 5,625mm
D. 300mm
B. 5,625mm2
36C
Find the area of a triangle whose base
if 8cm and height is 6cm.
A. 24cm2
B. 48cm2
C. 14cm2
D. 7cm2
A. 24cm2
37A
What is the volume of a rectangular
prism that measures 30 inches by 5
inches by 5 inches.
A. 650in2
B. 750in3
C. 700in3
D. 800in3
B. 750in3
37B
Find the volume of the rectangular
solid that measures 10 meters by 5
meters by 8 meters.
A. 80m3
B. 130m3
C. 100m3
D. 400m3
D. 400m3
37C
What is the volume of a rectangular
prism that is 18 meters by 15 meters
by 12 meters.
A. 45m3
B. 90m3
C. 1,332m3
D. 3,240m3
D. 3,240m3
38A
Write the phrase as an expression.
Sixteen subtracted from a number.
A. 16 – n
B. n – 16
C. 16 + n
D. 16 ÷ n
B. n - 16
38B
Write the phrase as an expression.
A number separated into two equal
parts.
A. n + 2
B. n – 2
C. n x 2
D. n ÷ 2
D. n ÷ 2
38C
Which expression represents “twelve
more than x” ?
A. 12 – x
B. x + 12
C. 12 > x
D. 12 < x
B. x + 12
39A
Write the sentence as an equation.
Six times a number b is fourty-two
A. 6 + b = 42
B. 6 – b = 42
C. 6b = 42
D. 6/42 =42
C. 6b = 42
39B
Write the sentence as an equation.
27 less than a number s is six
A. 27 – s = 6
B. 27 + s = 6
C. 27s = 6
D. s – 27 = 6
D. s – 27 = 6
39C
Which description below can not be
represented by an equation.
A. A number y added to 4 is 7.
B. 21 is 8 more than a number x.
C. A number m divided by 16.
D. A number h times 6 is 24.
C. A number m divided by 16
40A
A video game has 16 levels. You are
on level 5. Which equation does not
have a solution equal to the number of
levels left, n?
A. n + 5 = 16
B. n = 16 – 5
C. 5 + n = 16
D. n – 5 = 16
D. n – 5 = 16
40B
Juanita has 10 minutes left at a
parking meter. After she put in a
quarter, she has 25 minutes left. Write
an addition equation to find q, the
number of minutes a quarter is worth.
A. 10 + q = 25
B. 20 + q = 25
C. 10 – q = 25
D. 20 – q = 25
A. 10 + q = 25
40C
Jose eats 9 strawberries from a
carton. There are 12 strawberries left.
Which equation can be used to find s,
the number of strawberries in the full
carton?
A. 9 + s =12
B. 12 – 9 = s
C. s – 9 = 12
D. 12 – s = 9
C. s – 9 = 12
41A
What is the value of 5 + 2 x 15 + (12 x 4)?
A. 78
B. 83
C. 151
D. 153
B. 83
41B
What is the value of 2.6 + 3 ÷ 1.5 x 4 – 3?
A. 6.0
B. 7.6
C. 10.3
D. 15.1
B. 7.6
41C
What is the value of 66 ÷ 11 + 7 x (2+14)?
A. 29.0
B. 34.0
C. 118.0
D. 208.0
C. 118.0
42A
What is the value of 3x + 8, when x = 5?
A. 16
B. 23
C. 26
D. 39
B. 23
42B
What is the value of the expression 9a
when a = 4?
A. 5
B. 13
C. 36
D. 63
C. 36
42C
What is the value of 6y + 2 when y = 3?
A. 11
B. 20
C. 30
D. 65
B. 20
43A
Which property of multiplication is
shown?
6 x (4 x 2) = (6 x 4) x 2
A. Zero
B. Identity
C. Associative
D. Commutative
C. Associative
43B
What is the value of p in the equation
48 = 79 – p?
A. 21
B. 29
C. 31
D. 127
C. 31
43C
What is the value of 3x + 8 when x = 5?
A. 16
B. 23
C. 26
D. 39
B. 23
44A
What property of equality is shown in
the equation 1 + 3 = 3 + 1?
A. Associative Property of Addition
B. Commutative Property of Addition
C. Distributive Property of Addition
D. Identity Property of Addition
B. Commutative Property of Addition
44B
Which statement of equality is true?
A. 2 + (4+5) = (2+4) x 5
B. 5 + (8+3) = (5+8) + 3
C. 6 – (2 x 3) = (6 – 2) x 3
D. 3 x (2 + 4) = (3 x 2 ) + 4
B. 5 + (8+3) = (5 + 8) + 3
44C
Which step explains how to find the
value of h, in 5h = 45?
A. Add 5 to both sides
B. Divide both sides by 5
C. Multiply both sides by 5
D. Subtract 5 from both sides
B. Divide both sides by 5
45A
The graph shows the number of snacks
sold during the first four games. At which
game were the fewest snacks sold?
A. Game 1
B. Game 2
C. Game 3
D. Game 4
B. Game 2
45B
What is the difference of popcorn sold
between Game 1 and Game 4?
A. 60
B. 30
C. 20
D. 40
C. 20
45C
Three rooms had a school work day project. The graph
shows the number of hours each room worked. What is
the total number of hours that Room 3 worked?
A.
B.
C.
D.
40 Hours
45 Hours
50 Hours
60 Hours
B. 45 Hours
46A
Which number represents the median
for the following data set?
A. 18
B. 21
C. 23
D. 25
C. 23
46B
Find the mode for this set of data.
15, 20, 23, 13, 17, 21, 17, 25
A. 15
B. 17
C. 18
D. 19
B. 17
46C
What is the mean of this set of
numbers?
2,347; 3,456; 4,518; 3,711
A. 3,508
B. 3,580
C. 3,608
D. 3,680
A. 3,508
47A
Steve has 6 red marbles, 4 green
marbles, 7 yellow marbles, and 3
white marbles in a sack, what is the
probability of pulling out a green or
yellow marble?
A. 4 out of 7
B. 4 out of 17
C. 7 out of 11
D. 11 out of 20
D. 11 out of 20
47B
Mrs. Esperanza’s math class is
playing a game using two spinners.
One spinner has the colors red, blue,
green and yellow. The other spinner
has the numbers 1,2,3,4,5 and 6. How
many possible out comes are there?
A. 10 outcomes
B. 16 outcomes
C. 20 outcomes
D. 24 outcomes
D. 24 Outcomes
47C
Alicia has a total of 200 marbles. Of
these , 150 are yellow. What percent
of the marbles are yellow?
A. 15%
B. 25%
C. 5%
D. 75%
D. 75%
48A
What is the probability of choosing a
green marble from a bag containing
five green, seven, red, and four blue
marbles?
A. 5/11
B. 1/16
C. 5/16
D. 7/16
C. 5/16
48B
Bob randomly takes a marble from a bag and records
the color in a chart and then returns the marble to the
bag. He does this 50 times. The results of his
experiment are in the table below. What is the
experimental probability of drawing a brown marble?
Frequency Chart
Outcome
Frequency
Yellow
Purple
Black
Brown
16
12
14
8
A. 4/25
B. 6/25
C. 7/25
D. 8/25
A. 4/25
48C
.
A bag contains twelve tiles numbered
1-12. You randomly choose on tile
from the bag. Find the probability of
the event.
You choose a multiple of 3.
A.
B.
C.
D.
1/3
1/12
1/6
1/4
A. 1/3
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