Transcript 2006 Grade 6 Math SOL

2006 Grade 6 Math SOL
Melissa Rollosson
One hundred sixth-grade students were
asked to name one favorite color. The
table shows the results. What percent
of the students named blue?
2
3
4
5
%
25%
57
%
25%
50
28
1
25%
%
25%
29
28%
29%
50%
57%
%
A.
B.
C.
D.
Jamal walked ¾ mile yesterday morning
and 1/8 mile yesterday afternoon. What
was the total distance walked by Jamal?
3
4
5
m
ile
3
m
ile
½
8
25%
1/
2
7/
1
1
25% 25%
m
ile
25%
1 mile
7/8 mile
½ mile
1/3 mile
m
ile
A.
B.
C.
D.
Mrs. Dinato remembered the area of the
top of her rectangular table was between
1,500 and 2,000 square inches. Which
could be the dimensions of her table?
36 in.
30 in.
30 in.
32 in.
3
4
5
.
in
.
in
.
32
in
.
in
in
30
in
.
30
18
2
60
1
72
in
.
36
in
.
25% 25% 25% 25%
40
72 in.
60 in.
40 in.
18 in.
.
A.
B.
C.
D.
One batch of Derrick's pancake recipe
takes 2¾ cups of milk. If Derrick makes
3 batches of his pancake recipe, how
many cups of milk will he need?
8 ¾ cups
8 ¼ cups
6 ¾ cups
6 ¼ cups
s
6
¼
cu
p
s
25%
cu
p
cu
p
¾
5
6
4
¼
3
8
2
8
1
¾
cu
p
s
25% 25% 25%
s
A.
B.
C.
D.
0.084 ÷ 0.6 =
1
2
3
4
5
25%
0.
14
25%
4
25%
0.
71
25%
1.
4
7.14
1.4
0.714
0.14
7.
14
A.
B.
C.
D.
Based on this table, what is the cost to
buy 10 of each different type of reed?
8.
..
25%
$9
1.
..
5
25%
$7
4
6.
..
3
25%
$2
2
25%
8.
..
1
$18.50
$26.92
$71.47
$98.35
$1
A.
B.
C.
D.
What would be the least amount of
money Jeremy’s dad could spend if he
bought one of each type of sign?
.
.
$..
5
$..
4
.
3
$..
2
25% 25% 25% 25%
.
1
$512
$761
$816
$819
$..
A.
B.
C.
D.
Maria has a piece of ribbon 5/6 foot long.
She cuts ¾ foot off of the piece of ribbon.
What is the length of the remaining piece
of ribbon?
25%
3
4
5
fo
ot
¼
t
fo
o
6
1/
fo
o
8
1/
fo
o
12
2
1/
1
t
1/12 foot
1/8 foot
1/6 foot
¼ foot
t
A.
B.
C.
D.
25% 25% 25%
Harry worked 1¾ hours on Friday and 3½
hours on Saturday. What was the total
amount of time Harry worked on those
two days?
25% 25% 25% 25%
3
4
5
rs
ho
u
5
½
ho
u
¼
5
5/
8
4
2
ho
ho
u
¼
4
1
rs
ur
s
4 ¼ hours
4 5/8 hours
5 ¼ hours
5 ½ hours
rs
A.
B.
C.
D.
6.596 ÷ 0.04 =
2
3
4
5
25%
0.
61
25%
6.
06
16
1
25%
.4
9
25%
16
164.9
16.49
6.06
0.61
4.
9
A.
B.
C.
D.
Cody was paid $15.00 for washing his
mother’s car. If he spends $5.75 on a
movie, $1.50 on candy, and $2.00 for a
soda, which is closest to the amount he
will have left?
25%
25%
4
5
)
)
$0
.0
0
.0
0
$5
3
$8
0.
..
2
$1
1
25%
$10.00
$8.00
$5.00
$0
)
A.
B.
C.
D.
25%
There are 30 red marbles and 150 blue
marbles in a box. What is the ratio of blue
marbles to red marbles?
4
5
50
/1
0/
30
0
25%
30
3
25%
15
0/
2
18
1
25%
/8
25%
30
180/30
30/80
150/30
30/150
30
A.
B.
C.
D.
What is the least common multiple of 6
and 10?
4
5
25%
25%
90
3
25%
60
2
25%
30
1
20
30
60
90
20
A.
B.
C.
D.
Which statement is true?
-599 > -385
4,119 < -3,513
-56,803 > -64,122
-85 > 89
3
6,
80
-5
3
4
5
89
>
5
-8
-6
4
>
<
9
11
4,
2
,1
2
3
-3
,5
1
-3
8
>
99
-5
1
2
25% 25% 25% 25%
5
A.
B.
C.
D.
Which group contains only prime
numbers?
5, 13, 29, and 47
7, 11, 27, and 43
7, 19, 33, and 41
11, 17, 37, and 39
2
3
4
5
39
nd
41
d
7,
,1
19
,3
3,
37
,a
an
d
an
7,
11
,2
7,
11
1
7,
5,
13
,2
9,
an
d
43
25% 25% 25% 25%
47
A.
B.
C.
D.
What is the greatest common factor of
30, 42, and 48?
4
5
25%
25%
8
3
25%
6
2
25%
3
1
2
3
6
8
2
A.
B.
C.
D.
The picture shows the number of stars Angie
received from her piano teacher for practicing.
What is the ratio of the number of striped
stars to black stars?
25%
25%
5
10
to
to
to
4
10
6
4
4
3
3
to
2
4
1
25%
4 to 3
3 to 4
4 to 10
6 to 10
3
A.
B.
C.
D.
25%
Which statement is true?
A.
25%
25%
25%
25%
B.
C.
1
2
3
4
5
D
C
B
A
D.
Which represents the part of the 10-by 10
grid that is shaded?
2
3
4
5
25%
¾
10
5
25%
7/
1
25%
3/
25%
½
3/5
7/10
¾
½
A.
B.
C.
D.
A wall in Kelly’s house is diagrammed
below. Which is closest to the width of the
wall?
A.
B.
C.
D.
6 window widths
4 window widths
2 door widths
4 door widths
w
id
th
s
4
do
or
w
id
th
s
w
id
th
s
w
do
or
5
2
4
w
in
do
3
4
2
6
1
w
in
do
w
w
id
th
s
25% 25% 25% 25%
What is the sum of the measures of all
the interior angles of any quadrilateral?
2
3
4
5
0°
25%
45
0°
25%
36
90
1
25%
0°
25%
18
90°
180°
360°
450°
°
A.
B.
C.
D.
Which two figures always have four
congruent sides?
A. Rhombus and square
B. Rectangle and
rhombus
C. Square and
equilateral triangle
D. Parallelogram and
rectangle
1
2
3
4
5
le
lo
g
ra
l
Pa
an
d
re
...
...
eq
d
an
re
ua
ra
m
te
ra
l
ui
la
rh
o
d
an
Sq
ec
R
R
ho
ta
n
gl
e
m
bu
s
an
d
sq
ua
m
bu
re
s
25% 25% 25% 25%
If the diameter of a circle is 7 inches,
which is closest to the circumference?
2
3
4
5
in
.
in
.
15
3.
86
6
43
.9
7
38
.4
8
.9
21
1
25% 25%
in
.
21.98 in.
38.47 in.
43.96 in.
153.86 in.
25%
in
.
A.
B.
C.
D.
25%
The glasses shown each hold 12 fluid ounces when
full. The shaded portions show how much water Robert
drinks on average every morning. Which is closest to
the amount of water Robert drinks on average every
morning?
5
es
ou
nc
flu
i
flu
i
d
ou
nc
d
flu
i
d
34
4
22
3
18
flu
id
2
3
1
ou
nc
es
es
3 fluid ounces
18 fluid ounces
22 fluid ounces
34 fluid ounces
ou
nc
A.
B.
C.
D.
es
25% 25% 25% 25%
Six points are shown on the grid. Which three
points can be connected in the order shown to
form an acute angle?
25% 25% 25% 25%
S
nd
in
ts
Po
Po
in
ts
N,
R
N,
P
,a
,a
nd
nd
M
,N
,a
nd
5
Po
4
in
ts
M
,N
,a
3
in
ts
2
Po
1
S
P
Points M, N, and R
Points M, N, and P
Points N, R, and S
Points N, P, and S
R
A.
B.
C.
D.
What is the area of the large rectangle
shown if each small square is 4 inches
wide and 4 inches long?
sq
sq
in
.
sq
30
5
12
4
0
sq
3
0
2
48
1
25%
in
.
25% 25%
in
.
25%
80
480 sq in.
120 sq in.
80 sq in.
30 sq in.
in
.
A.
B.
C.
D.
Which solid could not have two parallel
faces?
Cube
Rectangular prism
Pyramid
Cylinder
3
4
5
de
r
yl
in
C
ar
gu
l
ta
n
2
ra
m
id
pr
is
ub
C
ec
R
1
Py
m
25% 25% 25% 25%
e
A.
B.
C.
D.
The measure of the angle shown is —
25% 25% 25% 25%
3
4
5
18
te
rt
ha
n
18
°a
90
n
ee
tw
gr
ea
nd
nd
°a
45
n
ee
tw
be
be
2
0°
°
90
45
d
an
0°
n
ee
tw
be
1
0°
between 0° and 45°
between 45° and 90°
between 90° and 180°
greater than 180°
°
A.
B.
C.
D.
Which measurement represents the
greatest volume?
2
3
4
5
qu
ar
ts
25%
9
cu
ps
ga
llo
2
pi
n
17
1
25%
35
ns
25% 25%
17 pints
2 gallons
35 cups
9 quarts
ts
A.
B.
C.
D.
Which picture appears to show
Steve’s body at an angle congruent to
the angle shown?
A.
B.
4
5
25%
25%
D
3
25%
C
2
25%
B
1
D.
A
C.
Which shape is not a quadrilateral?
Square
Parallelogram
Pentagon
Trapezoid
3
4
5
oi
d
ez
on
Tr
ap
ra
l
Pa
2
nt
ag
le
lo
g
ua
Sq
1
Pe
ra
m
25% 25% 25% 25%
re
A.
B.
C.
D.
Chrissy has 4 white towels, 2 yellow towels,
and 3 blue towels in a bag. What is the
probability that the first towel chosen at
random from the bag will be white?
9
4/
5
5
4
25%
4/
3
25%
9
2
25%
1/
1
¼
1/9
4/5
4/9
¼
A.
B.
C.
D.
25%
What is the range of the numbers listed?
76, 59, 91, 22, 43, 57, 89, 76, 31
25%
1
25%
25%
2
3
4
5
69
60
45
43
45
60
69
43
A.
B.
C.
D.
25%
Which stem-and-leaf plot correctly
displays this data?
15 32 21 13 36 10 23
30 15 11 27 42 33
A.
B.
25%
C.
25%
5
D
4
C
3
B
2
25%
D.
A
1
25%
76, 79, 75, 77, 74
For the data listed, the value 76.2
represents the —
3
4
5
25%
ea
n
ng
e
25%
m
m
ed
ia
2
m
1
25%
od
e
25%
ra
median
mode
range
mean
n
A.
B.
C.
D.
2
3
4
5
-0
.
1
25%
25%
25%
1
25%
0.
6
-0.6
0
0.6
1
6
A.
B.
C.
D.
0
There are 6 songs on Jane’s new CD. If her CD
player plays the songs randomly, what is the
probability that the song Mongoose Omelette will
play first?
Look at the graph below. Which type of clothing
appears to have had 5 times the sales of
dresses?
Shorts
Pants
Shirts
Skirts
5
ir t
s
ir t
s
Sk
4
Sh
3
Pa
2
Sh
1
nt
s
25% 25% 25% 25%
or
ts
A.
B.
C.
D.
The number of pages Jane read in a book each
day for one week are listed below.
{12, 18, 19, 11, 12, 15, 18}
Below is the box-and-whisker plot of this data. To
which number is the arrow most likely pointing?
4
5
25%
25%
18
3
25%
15
2
25%
12
1
11
12
15
18
11
A.
B.
C.
D.
Mr. Warren requires his students to read 2 books:
1 book from list #1 and 1 book from list #2. What
is the total number of different combinations for
the 2 books?
4
5
25%
25%
1
3
25%
2
2
25%
6
1
9
6
2
1
9
A.
B.
C.
D.
Based on the geometric pattern shown,
what is the value of 85?
25%
25%
3
4
5
8
,7
6
,4
8
40
0
32
2
20
1
25%
13
40
20,480
32,768
13
A.
B.
C.
D.
25%
Which represents the variable in the
following number sentence?
25%
25%
4
5
45
3
=
2
v
1
25%
3
v
=
45
3
A.
B.
C.
D.
25%
2.3 x 107 =
230,000,000
23,000,000
2,300,000
230,000
2
3
4
5
0
0,
00
23
0,
00
2,
30
0,
00
,0
0
23
0,
00
0,
00
23
1
0
0
25% 25% 25% 25%
0
A.
B.
C.
D.
Which method could be used to solve
the number sentence shown?
A. Subtract 4 from 4x, and
subtract 4 from 16
B. Subtract 4 from 4x, and
subtract 16 from 16
C. Divide 4x by 4, and
divide 16 by 16
D. Divide 4x by 4, and
divide 16 by 4
2
3
4
5
di
..
an
d
an
d
4,
4,
by
by
4x
4x
iv
i
de
de
iv
i
.
d.
..
..
,a
4x
fr
om
bt
ra
c
t4
D
D
1
Su
Su
bt
ra
c
t4
fr
om
4x
,a
..
25% 25% 25% 25%
What value of y makes the number
sentence shown true?
y – 3 = 15
4
5
25%
25%
45
3
25%
18
2
25%
12
1
5
12
18
45
5
A.
B.
C.
D.
Use the representations shown to answer the
question.
If the scale is balanced, which number
sentence does it best represent?
5w = 30
w + 5 = 30
5 – w = 30
w ÷ 5 = 30
5
=
=
30
30
30
5
w
÷
w
5
–
4
5
3
+
2
w
1
5w
=
=
30
A.
B.
C.
D.
25% 25% 25% 25%
The number 514 in scientific notation is
written as -25% 25% 25% 25%
1
2
3
4
5
2
10
1
x
10
51
4
x
.4
51
5.
14
x
10
1
5.
14
x
10
2
5.14 x 101
5.14 x 102
51.4 x 101
514 x 102
A.
B.
C.
D.
Which is an equation?
25%
½
=
>
1
2
3
4
5
x
+
5
+
x
25%
9
25%
7
25%
x
x+6
5>7
x
x+½=9
6
A.
B.
C.
D.
Kale wrote the number pattern shown.
1, 2, 4, 7, 11, . . .
He noticed another pattern when he found that the
differences between the numbers increased by 1 as
shown.
If the differences continue to increase by 1, what will be
the 7th term in Kale's original pattern?
4
5
22
3
21
2
25% 25% 25% 25%
19
1
15
19
21
22
15
A.
B.
C.
D.
Using the representations shown,
which model best represents the
following?
r + 2 = 18
A.
B.
C
.
4
5
25%
D
3
25%
C
2
25%
B
25%
A
1
D.
The first four figures in a pattern are shown
below. If the pattern continues to double the
number of dots, what will be the total number
of dots in the 6th figure in the pattern?
5
25%
14
4
25%
32
3
25%
64
2
8
1
128
64
32
14
12
A.
B.
C.
D.
25%
Gracie's pattern of increasing perfect
squares is shown below.
25, 36, __, 64, 81, 100
What number does Gracie need to square
to find the missing term?
25%
25%
4
5
8
3
7
2
6
1
25%
5
6
7
8
5
A.
B.
C.
D.
25%