sol 6.1 the student will identify representations of a given percent and describe orally and in...
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SOL 6.1
The student will identify representations of a givenpercent and describe orally and in writing the equivalence relationships among fractions,
decimals, and percents.
What percent of the rectangle is shaded?
40%
60%
80%
98%
0%0%0%0%
A. 40%
B. 60%
C. 80%
D. 98%
1 2 3 4 5
Joel correctly answered 16 of 20 questions on a history quiz. What percent of the questions did he answer correctly?
96%
80%
60%
16%
100%
A. 96%
B. 80%
C. 60%
D. 16%
1 2 3 4 5
What is 0.86 expressed as a percent?
1 2 3 4 50.
86%
8.60
%86
%86
0%
25% 25%25%25%A. 0.86%
B. 8.6%
C. 86%
D. 860%
The winning candidate for mayor received 55% of the votes. What fraction of the votes did she receive?
1 2 3 4 5 1
1/20
9/2
0
11/
25
11/
200
25% 25%25%25%A. 11/20
B. 9/20
C. 11/25
D. 11/200
Which circle is shaded to represent 75%?
1 2 3 4 5 A B C D
25% 25%25%25%
A.
B.
C.
D.
Farming accounts for about 12% of all sales in Virginia each year. What is 12% expressed as a fraction?
1 2 3 4 5 2
2/25
4/2
5 3
/25
1/1
2
25% 25%25%25%
A. 22/25
B. 4/25
C. 3/25
D. 1/12
What is 0.05 expressed as a fraction?
1 2 3 4 5 5
/10 ¼ 1
/5 1
/20
25% 25%25%25%A. 5/10
B. ¼
C. 1/5
D. 1/20
SOL 6.2
The student will describe and compare two sets of data, using ratios, and will use appropriate
notations, such as a/b, a to b, and a:b.
Guests at a restaurant have a choice of soup or salad with their meals. Thirty-five guests choose soup, and 64 choose salad. Which does not express the ratio of soup to salad orders?
1 2 3 4 5
25% 25%25%25%
A. 35 to 64
B. 35/64
C. 35 out of 64
D. 35:64
What is the ratio of shaded blocks to white blocks?
1 2 3 4 5
25% 25%25%25%
A. 10:8
B. 4:5
C. 8:18
D. 4:9
In a survey, people preferred Brand A to Brand B in a ratio of 3:1. Which sentence best describes the results of the survey?
1 2 3 4 5
25% 25%25%25%
A. For every 3 people who preferred Brand A one person preferred Brand B.
B. One out of 3 people preferred Brand B.
C. Twice as many people preferred Brand A as preferred Brand B.
D. Brand B was preferred three times as often as Brand A.
Mr. Mata’s class has 14 boys and 16 girls. Ms. Dinh’s class has 17 boys and 11 girls. Which best compares the ratios of boys to girls in the two classes?
1 2 3 4 5
25% 25%25%25%A. The ratio of boys to girls in the
classes is 7 : 8.
B. Ms. Dinh’s class has a greater percent of boys.
C. There are more girls in Ms. Dinh’s class than Mr. Mata’s class.
D. The ratios of boys to girls in the classes are equal.
Lola is baking biscuits for the first time. In her first batch of 8, 4 biscuits turned out well and 4 were burned. In her second batch of 7, 3 biscuits turned out well and 4 were burned. Which sentence best describes Lola’s progress as a biscuit baker?
1 2 3 4 5
25% 25%25%25%
A. Lola’s baking is improving because she burned fewer biscuits in the second batch.
B. Lola’s baking is getting worse because there were fewer biscuits in the second batch.
C. Lola’s baking is staying the same because she burned the same number of biscuits in both batches.
D. Lola’s baking is getting worse because the ratio of good biscuits to burned biscuits is getting smaller.
What is the ratio of squares to circles?
1 2 3 4 5
25% 25%25%25%A. 5:7
B. 3:4
C. 7:5
D. 12:5
Ron has 15 quarters and 10 dimes. What is the ratio of quarters to dimes?
1 2 3 4 5 1
5 to
25
10:
15 3/2
5:3
25% 25%25%25%A. 15 to 25
B. 10:15
C. 3/2
D. 5:3
SOL 6.3a
The student will find common multiples and factors, including least common multiple and greatest common factor.
Dezeray is making a decorative border for a scrapbook page out of flower stickers and bumblebee stickers. The flower stickers come 25 to a sheet, and the bumblebee stickers come 10 to a sheet. Dezeray needs equal numbers of flower and bumblebee stickers. What is the smallest number of sheets of bumblebee stickers Dezeray can buy?
1 2 3 4 5
25% 25%25%25%
A. 10 sheets
B. 5 sheets
C. 4 sheets
D. 2 sheets
Aidan prepared 120 dumplings and 48 egg rolls for a party. Each guest will be served the same numbers of dumplings and egg rolls. What is the greatest number of guests that Aidan can serve at the party?
1 2 3 4 5
25% 25%25%25%A. 120
B. 48
C. 24
D. 12
Which factor do 48 and 54 not have in common?
1 2 3 4 52 3 6 8
25% 25%25%25%A. 2
B. 3
C. 6
D. 8
Forty-nine students are in the Dogwood Middle School band. The William James Middle School band has 63 students. The two bands are marching in the Thanksgiving Day parade. Each band will march together with the students in rows of equal size. What is the greatest number of students that can march in each row?
1 2 3 4 5 4
stu
dents
6 s
tude
nts
7 s
tude
nts
9 s
tude
nts
25% 25%25%25%
A. 4 students
B. 6 students
C. 7 students
D. 9 students
A charity group is preparing back-to-school packages for needy children. The group has 150 pens and 120 packets of notebook paper. What is the greatest number of packages the group can prepare without having any pens or packets of paper left over?
1 2 3 4 5
25% 25%25%25%
A. 30 packages
B. 60 packages
C. 90 packages
D. 120 packages
SOL 6.3b
The student will identify and describe prime and composite numbers; and
identify and describe the characteristics of even and odd integers.
Which is a prime number?
1 2 3 4 58 12 21 29
25% 25%25%25%A. 8
B. 12
C. 21
D. 29
What must be true for a number to be described as composite?
1 2 3 4 5 T
he num
ber m
ust b
e ...
The
number
mus
t be
...
The
number
can
hav
...
The
number
mus
t ha.
.
25% 25%25%25%A. The number must be greater than 1.
B. The number must be divisible by 2.
C. The number can have no more than 2 factors.
D. The number must have positive factors other than 1 and itself.
What is the next prime number in this list? 11, 13, 17, 19, …
1 2 3 4 521 23 27 29
25% 25%25%25%A. 21
B. 23
C. 27
D. 29
Which of these numbers is composite?
1 2 3 4 551 53 71 89
25% 25%25%25%A. 51
B. 53
C. 71
D. 89
What is true about a prime number?
1 2 3 4 5
It is
odd.
It is
gre
ater
than
2.
It h
as p
ositiv
e fa
ctor
s...
It h
as 2
pos
itive
fact
o...
25% 25%25%25%A. It is odd.
B. It is greater than 2.
C. It has positive factors other than 1 and itself.
D. It has 2 positive factors, 1 and itself.
Eugene said that the first 3 prime numbers were 1, 2, and 3; Beth said they were 2, 3, and 5; Maxie said they were 2, 3, and 7; Shenana said they were 3, 5, and 7. Who was correct?
1 2 3 4 5
Eugen
e B
eth
Max
ie
Shen
ana
25% 25%25%25%A. Eugene
B. Beth
C. Maxie
D. Shenana
Which statement is true of all even integers?
1 2 3 4 5 E
ven in
teger
s ar
e pos.
..
Eve
n inte
gers
are
divi..
.
Eve
n inte
gers
are
nev..
Eve
n inte
gers
cannot .
.
25% 25%25%25%A. Even integers are positive.
B. Even integers are divisible by 2.
C. Even integers are never prime numbers.
D. Even integers cannot be multiplied by 0.
Which integer is odd?
1 2 3 4 5-1
2 -7 0 24
25% 25%25%25%A. -12
B. -7
C. 0
D. 24
What is true about every even integer?
1 2 3 4 5 It
is d
ivis
ible
by
2.
It is
a m
ultiple
of 4
.
It is
not p
rime.
It is
gre
ater
than
5.
25% 25%25%25%A. It is divisible by 2.
B. It is a multiple of 4.
C. It is not prime.
D. It is greater than 5.
Which integer is even?
1 2 3 4 556 23 15 -1
1
25% 25%25%25%A. 56
B. 23
C. 15
D. -11
Which set of integers are all odd?
1 2 3 4 5 {1
4, 1
0, 1
7, 2
8}
{13,
8, 1
5, 2
7}
{13,
9, 1
5, 2
7}
{14,
10,
16,
28}
25% 25%25%25%A. {14, 10, 17, 28}
B. {13, 8, 15, 27}
C. {13, 9, 15, 27}
D. {14, 10, 16, 28}
Which set of integers are all even?
1 2 3 4 5 {1
4, 1
0, 1
7, 2
8}
{13,
8, 1
5, 2
7}
{13,
9, 1
5, 2
7}
{14,
10,
16,
28}
25% 25%25%25%A. {14, 10, 17, 28}
B. {13, 8, 15, 27}
C. {13, 9, 15, 27}
D. {14, 10, 16, 28}
SOL 6.4
The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures,
and mathematical symbols.
Which is the least fraction that makes the statement below true?
_____ > 5/8
1 2 3 4 5
¾ 2/3
5/9
6/1
2
25% 25%25%25%
A. ¾
B. 2/3
C. 5/9
D. 6/12
The area of Virginia Beach is 248 square miles. Norfolk has an area of 54 square miles. Richmond has an area of 60 square miles. The area of Chesapeake is 341 square miles. Which city has the greatest area?
1 2 3 4 5
25% 25%25%25%
A. Chesapeake
B. Norfolk
C. Richmond
D. Virginia Beach
Which list orders the numbers from least to greatest?
1 2 3 4 5 0
.12,
2.1
, 23.
1, 3
12
2.1
, 23.
1, 0
.12,
312
312
, 2.1
, 23.
1, 0
.12
23.
1, 0
.12,
312
, 2.1
25% 25%25%25%
A. 0.12, 2.1, 23.1, 312
B. 2.1, 23.1, 0.12, 312
C. 312, 2.1, 23.1, 0.12
D. 23.1, 0.12, 312, 2.1
Ruby, Cassie, Brianna, and Marian play softball. Ruby’s batting average is 0.312, Cassie’s is 0.289, Brianna’s is 0.341, and Marian’s is 0.274. Which player has the lowest batting average?
1 2 3 4 5
25% 25%25%25%A. Ruby
B. Cassie
C. Brianna
D. Marian
Which pizza has fewer than 1/3 of its pieces remaining?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.
D.
The table below shows the number of students attending 4 high schools in the Washington, D.C., area. Which list puts the high schools in order from greatest to least number of students?
1 2 3 4 5
25% 25%25%25%
A. Fairfax, Wakefield, Woodson, Yorktown
B. Fairfax, Woodson, Wakefield, Yorktown
C. Yorktown, Woodson, Wakefield, Fairfax
D. Wakefield, Woodson, Yorktown, Fairfax
Which number makes the statement true?5.4 < ______
1 2 3 4 5
25% 25%25%25%A. 6
B. 5.15
C. 1.4
D. 0.75
Which list orders the numbers from least to greatest?
1 2 3 4 5 9
/2, 7
/6, 5
/8, ¼
5/8
, ¼, 7
/6, 9
/2
¼, 9
/2, 5
/8, 7
/6
¼, 5
/8, 7
/6, 9
/2
25% 25%25%25%A. 9/2, 7/6, 5/8, ¼
B. 5/8, ¼, 7/6, 9/2
C. ¼, 9/2, 5/8, 7/6
D. ¼, 5/8, 7/6, 9/2
SOL 6.5
The student will identify, represent, order, and
compare integers.
Which represents the value negative fifty-three?
1 2 3 4 5 |5
3| 5
/3 -53
503
25% 25%25%25%A. |53|
B. 5/3
C. -53
D. 503
The low temperature in Richmond was 2 degrees Celsius. The low in Blacksburg was -4 degrees Celsius. In Virginia Beach it was 5 degrees Celsius, and it was -1 degree Celsius in Bristol. Which city had the coldest temperature?
1 2 3 4 5
Ric
hmond
Bla
cksb
urg
Virg
inia
Bea
ch
Bris
tol
25% 25%25%25%A. Richmond
B. Blacksburg
C. Virginia Beach
D. Bristol
Which of the following is an integer?
1 2 3 4 5-4 ½ 1.
53.
9
25% 25%25%25%A. -4
B. ½
C. 1.5
D. 3.9
Which of these is the greatest integer that makes the statement true?
6 > ____
1 2 3 4 5
25% 25%25%25%
A. 2
B. 7
C. 12
D. 16
For the last six months, Artie has measured the depth of a nearby stream. He recorded his findings as the difference between the current stream depth and the average stream depth. During which month did the stream have the greatest average depth?
1 2 3 4 5
25% 25%25%25%A. March
B. April
C. July
D. August
Which list has the integers in order from least to greatest?
1 2 3 4 5 8
, 6, 1
5, 4
4, 6
, 8, 1
5
15,
6, 4
, 8
15,
8, 6
, 4
25% 25%25%25%A. 8, 6, 15, 4
B. 4, 6, 8, 15
C. 15, 6, 4, 8
D. 15, 8, 6, 4
Which of these is the greatest integer that makes the statement true?
_____ < 15
1 2 3 4 5
25% 25%25%25%A. 18
B. 5
C. -8
D. -21
Which list has the integers in order from greatest to least?
1 2 3 4 5 1
2, 7
, 3, 5
12,
7, 5
, 3
3, 5
, 7, 1
2
5, 3
, 7, 1
2
25% 25%25%25%A. 12, 7, 3, 5
B. 12, 7, 5, 3
C. 3, 5, 7, 12
D. 5, 3, 7, 12
Kyle scored a ninety-five on his math quiz. Which represents Kyle’s
score?
1 2 3 4 5
25% 25%25%25%A. 9.5
B. 95
C. 905
D. 9/5
SOL 6.6a
The student will solve problems that involve addition,subtraction, multiplication, and/or division with fractions
and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and
express their answers in simplest form.
What is 5/8 + 1/2?
1 2 3 4 5 6
/10 ¾
1 1/
81
5/8
25% 25%25%25%A. 6/10
B. ¾
C. 1 1/8
D. 1 5/8
What is 3/10 X ½?
3/5
2/5
3/2
0 1
/10
0%0%0%0%
A. 3/5
B. 2/5
C. 3/20
D. 1/10
1 2 3 4 5
Sheila is cutting a bread recipe in half. The recipe calls for ¾ teaspoon salt. How much
salt should Sheila use for half a recipe?
1 2 3 4 5 3
/8 ts
p
½ ts
p
5/8
tsp
1 ½
tsp
25% 25%25%25%
A. 3/8 tsp
B. ½ tsp
C. 5/8 tsp
D. 1 ½ tsp
Mr. Benson grows cabbages in the Shenandoah Valley. His two largest cabbages this year had a mass of 3¼ kilograms and 2 3/8 kilograms. What was the combined mass of the cabbages?
1 2 3 4 5
25% 25%25%25%
A. 5 ½ kg
B. 5 5/8 kg
C. 5 ¾ kg
D. 5 7/8 kg
What is 6 ½ - 5/12?
1 2 3 4 56
0...
6 0.
..5
0...
5 0.
..
25% 25%25%25%A. 6 7/12
B. 6 1/12
C. 5 7/12
D. 5 1/21
What is 5/11 + 2/11?
1 2 3 4 5 7
/11
5/1
1 3
/22
7/2
2
25% 25%25%25%A. 7/11
B. 5/11
C. 3/22
D. 7/22
Vong is hiking the Appalachian Trail near Tinker Mountain. He has 0.75 liter of water in his canteen and four hours left before he reaches his campsite. Vong plans to take a break each hour and drink one quarter of what is now in his canteen. If he could measure it exactly, how much water would he drink during each break?
1 2 3 4 5
25% 25%25%25%
A. 3 L
B. 1.875 L
C. 0.3 L
D. 0.1875 L
What is 10 3/7 X 3 1/5?
1 2 3 4 530
22/
35
31 0
2/70
33 1
3/35
33 0
1/40
25% 25%25%25%A. 30 22/35
B. 31 10/35
C. 33 13/35
D. 33 3/12
SOL 6.6b
The student will find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a
decimal to thousandths with exactly one non-zero digit.
What is 5.555 ÷ 0.004?
1 2 3 4 513
,887
.50
1,38
8.75
13.8
875
1.38
875
25% 25%25%25%A. 13,887.5
B. 1,388.75
C. 13.8875
D. 1.38875
What is 1.625 ÷ 0.002?
1 2 3 4 581
2.5
82.5
8.12
05
0.81
25
25% 25%25%25%A. 812.5
B. 82.5
C. 8.1205
D. 0.8125
What is 0.008 ÷ 0.002?
1 2 3 4 5
40.
40.
040.
004
25% 25%25%25%A. 4
B. 0.4
C. 0.04
D. 0.004
What is 56.875 ÷ 0.005?
1 2 3 4 5
11.3
75
1,13
7.50
11,3
75
113,
750
25% 25%25%25%A. 11.375
B. 1,137.5
C. 11,375
D. 113,750
SOL 6.7
The student will use estimation strategies to solve multistep practical problems
involving whole numbers, decimals, andfractions (rational numbers).
Carl has 3 bags of sugar in his pantry. Each is a one-pound bag, but none of the bags is full. The bag that has the least is about 1/3 full. What is the best estimate of how many pounds of sugar Carl has in his pantry?
1 2 3 4 5 1 lb
2 lb
3 lb
4 lb
25% 25%25%25%
A. 1 lb
B. 2 lb
C. 3 lb
D. 4 lb
Essence has 3 rolls of film to be developed. The rolls cost between $6 and $7 to develop. Essence also has a coupon for $1 off the cost of developing one roll of film. What is the best estimate of how much Essence will pay for all 3 rolls if she uses her coupon?
1 2 3 4 5... ... ... ...
25% 25%25%25%
A. $17
B. $19
C. $21
D. $23
Each of the four largest counties in Virginia is between 819 and 971 square miles in area. The total area of Virginia is 39,594 square miles. Which is the best estimate of the percentage of the total area that these counties make up?
1 2 3 4 59% 8% 7% 6%
25% 25%25%25%A. 9%
B. 8%
C. 7%
D. 6%
Mrs. Takashi’s children gave her a $50 gift card to her favorite bookstore. Mrs. Takashi has chosen 5 books. The most expensive book costs $10.59 and the least expensive book costs $4.99. Which is the best estimate of the amount Mrs. Takashi has left on her gift card after she buys the 5 books?
1 2 3 4 5 ... ... ... ...
25% 25%25%25%A. $35
B. $27
C. $18
D. $12
The Patels bought a 20-pound bag of birdseed. Each week they fed between 1/20 and 1/10 of the bag to the birds. About how many pounds of birdseed remained in the bag after 4 weeks?
1 2 3 4 5 19
lb 1
6 lb
14
lb 1
2 lb
25% 25%25%25%
A. 19 lb
B. 16 lb
C. 14 lb
D. 12 lb
A coffee shop sells between 20 and 35 slices of pie each day during lunch. A slice of pie costs either $1.29 or $1.89. About how much money does the coffee shop make each day from its pie sales?
1 2 3 4 5 $
50 to
$60
$25
to $
40
$40
to $
65
$30
to $
50
25% 25%25%25%A. $50 to $60
B. $25 to $40
C. $40 to $65
D. $30 to $50
The Washington family is flying from Norfolk to Atlanta for Thanksgiving. They are taking 4 suitcases. None of the suitcases weighs more than50 pounds. The lightest suitcase weighs 15 pounds. What is the best estimate of the weight of the Washington family’s luggage?
1 2 3 4 5 100
to 1
50 lb
60
to 1
20 lb
140
to 2
00 lb
150
to 1
80 lb
25% 25%25%25%
A. 100 to 150 lb
B. 60 to 120 lb
C. 140 to 200 lb
D. 150 to 180 lb
SOL 6.8
The student will solve multistep consumer-application problems involving fractions and decimals and present data and conclusions in paragraphs, tables, or graphs. Planning a
budget will be included.
The Padillas earn $5,000 per month. The table shows part of their monthly budget. The Padillas plan to save ¼ of the remaining money. How much do they plan to save each month?
1 2 3 4 5$1
,...
$900
)
$350
)
$225
)
25% 25%25%25%
A. $1,400
B. $900
C. $350
D. $225
Olivia needs 3 new pairs of sports socks. Store A sells 6 pairs for $12.50. Store B sells 3 pairs for $9.99. Store C sells one pair for $3.50. What best describes the cost of sports socks at the three stores?
1 2 3 4 5
25% 25%25%25%A. Store B has the best deal for Olivia’s needs although socks are cheaper elsewhere.
B. Store A has the best price per pair and the best deal for Olivia’s needs.
C. Store C has the best price per pair and the best deal for Olivia’s needs.
D. Store C has the best deal for Olivia’s needs although socks are cheaper elsewhere.
The table shows the regular prices for chicken breasts. Store B puts chicken breasts on sale, taking $1.30 off the regular price. Which store has the least expensive chicken breasts?
1 2 3 4 5
25% 25%25%25%
A. Store A
B. Store B
C. Store C
D. Store D
SOL 6.9a
The student will compare and convert units of measure for length—part of an inch (½, ¼, and 1/8), inches, feet, yards,miles, millimeters, centimeters, meters, and kilometers—
within the U.S. Customary system and the metric system and estimate conversions between units in each system.
Stacie’s desk is 48 inches wide. How wide is Stacie’s desk in feet?
1 2 3 4 5 0
.48
ft 4
ft
4.8
ft
12
ft
25% 25%25%25%A. 0.48 ft
B. 4 ft
C. 4.8 ft
D. 12 ft
The Hendersons live 3 miles from the middle school. How many yards from the middle
school do they live?
1 2 3 4 5 5
,180
yd
5,2
80 y
d
10,
560
yd
15,
840
yd
25% 25%25%25%
A. 5,180 yd
B. 5,280 yd
C. 10,560 yd
D. 15,840 yd
A beetle is 23 millimeters long. About how many inches long is the beetle?
1 2 3 4 5 2
.3 in
.
1 in
.
0.5
in.
0.2
3 in
.
25% 25%25%25%A. 2.3 in.
B. 1 in.
C. 0.5 in.
D. 0.23 in.
Norfolk is 280 miles from Roanoke. About how many kilometers is Norfolk from
Roanoke?
1 2 3 4 5 8
00 k
m
500
km
300
km
150
km
25% 25%25%25%
A. 800 km
B. 500 km
C. 300 km
D. 150 km
June has 3 pencils. The red pencil is 6½ inches long, the blue pencil is 10 centimeters long, and the green pencil is 1 foot long. Which list givesthe pencils in order from shortest to longest?
1 2 3 4 5 red,
gre
en, b
lue
red,
blu
e, g
reen
blu
e, g
reen
, red
blu
e, re
d, gre
en
25% 25%25%25%A. red, green, blue
B. red, blue, green
C. blue, green, red
D. blue, red, green
A pole vaulter cleared the bar at a height of 16 feet. How many yards was this?
1 2 3 4 5 1
1/3
yd
4 y
d
5 1
/3 y
d
48
yd
25% 25%25%25%A. 1 1/3 yd
B. 4 yd
C. 5 1/3 yd
D. 48 yd
SOL 6.9b
The student will compare and convert units ofmeasure for weight/mass—ounces, pounds, tons, grams, and kilograms—within the U.S. Customary
system and the metric system and estimate conversions between units in each system.
All the hamburger patties prepared at a restaurant weigh ¼ pound before
cooking. What is the weight of each patty in ounces?
1 2 3 4 5 4 o
z 6
oz
8 o
z
16
oz
25% 25%25%25%A. 4 oz
B. 6 oz
C. 8 oz
D. 16 oz
A box of pasta has a mass of 226 grams. About how much does the box weigh?
1 2 3 4 5 1
0 lb
3 lb
½ lb
1/8
lb
25% 25%25%25%A. 10 lb
B. 3 lb
C. ½ lb
D. 1/8 lb
An elephant weighs 1 ton. How many pounds does the elephant weigh?
1 2 3 4 5 1
,000
lb
1,5
00 lb
2,0
00 lb
2,5
00 lb
25% 25%25%25%A. 1,000 lb
B. 1,500 lb
C. 2,000 lb
D. 2,500 lb
One of the smallest surviving babies born in the United States weighed 280 grams. About how many ounces did the baby weigh?
1 2 3 4 5 3
oz
10
oz
28
oz
80
oz
25% 25%25%25%
A. 3 oz
B. 10 oz
C. 28 oz
D. 80 oz
The average adult brain weighs 48 ounces. How many pounds is this?
1 2 3 4 5 3
lb 4
lb 6
lb 1
6 lb
25% 25%25%25%A. 3 lb
B. 4 lb
C. 6 lb
D. 16 lb
The weight of a dictionary is 2.2 pounds. About how many kilograms
is this?
1 2 3 4 5 4.4
kg
2.2
kg
1.5
kg
1.0
kg
25% 25%25%25%A. 4.4 kg
B. 2.2 kg
C. 1.5 kg
D. 1.0 kg
SOL 6.9c
The student will compare and convert units ofmeasure for liquid volume—cups, pints, quarts,
gallons, milliliters, and liters—within the U.S. Customary system and the metric system andestimate conversions between units in each
system.
Raj adds 2 quarts of oil to his car. About how many liters of oil does
he add?
1 2 3 4 5
25% 25%25%25%A. ½ L
B. 1 L
C. 2 L
D. 4 L
A beaker holds 500 milliliters. How many liters does the beaker hold?
1 2 3 4 5 5
0 L
5 L
0.5
L
0.0
5 L
25% 25%25%25%
A. 50 L
B. 5 L
C. 0.5 L
D. 0.05 L
Susie is mixing plant fertilizer. She mixes 2 tablespoons of dry fertilizer with 1 gallon of
water. How many quarts of fertilizer does she make?
1 2 3 4 5
25% 25%25%25%A. 2 qt
B. 4 qt
C. 8 qt
D. 16 qt
One liter of orange juice is equivalent to about how many gallons?
1 2 3 4 5 0
.3 g
al
0.5
gal
0.7
gal
1.0
gal
25% 25%25%25%
A. 0.3 gal
B. 0.5 gal
C. 0.7 gal
D. 1.0 gal
A recipe for beef stew calls for 1 ½ cups of beef broth. How many pints is this?
1 2 3 4 5
3 p
t 2
pt
0.7
5 pt
0.5
pt
25% 25%25%25%A. 3 pt
B. 2 pt
C. 0.75 pt
D. 0.5 pt
A jug of milk contains 3.78 liters. How many gallons of milk is this?
1 2 3 4 5 5
gal
4 g
al
2 g
al
1 g
al
25% 25%25%25%
A. 5 gal
B. 4 gal
C. 2 gal
D. 1 gal
SOL 6.9d
The student will compare and convert units ofmeasure for area—square units—within the U.S. Customary system and the metric system and
estimate conversions between units in each system.
The area of an office space is 2,916 square feet. What is the area of the
space in square yards?
1 2 3 4 5 1
,458
yd2
972
yd2
486
yd2
324
yd2
25% 25%25%25%A. 1,458 yd2
B. 972 yd2
C. 486 yd2
D. 324 yd2
The area of the O. Winston Link Museum in Roanoke is 15,000 square feet. How
many square inches is this?
1 2 3 4 5
25% 25%25%25%A. 1,250 in2
B. 180,000 in2
C. 2,160,000 in2
D. 25,920,000 in2
The area of a playground is 84 square meters. About how many
square yards is this?
1 2 3 4 5
25% 25%25%25%A. 8.4 yd2
B. 25 yd2
C. 100 yd2
D. 10,000 yd2
Juan is buying carpet for his bedroom, as shown in the figure. How many
square feet of carpet does he need?
1 2 3 4 5
25% 25%25%25%A. 20 ft2
B. 60 ft2
C. 180 ft2
D. 240 ft2
The area of a nature sanctuary is 1 square mile. How many square feet
is this?
1 2 3 4 5
25% 25%25%25%
A. 5,280 ft2
B. 47,520 ft2
C. 760,320 ft2
D. 27,878,400 ft2
SOL 6.10
The student will estimate and then determine length, weight/mass, area, and liquid volume/capacity, using standard and
nonstandard units of measure.
A mosaic floor measures 2 meters by 3 meters. What is the area of the
floor in square meters?
1 2 3 4 5
25% 25%25%25%A. 4 m2
B. 5 m2
C. 6 m2
D. 8 m2
A gift box is 4 inches long, 3 inches wide, and 2 inches high. What is the volume of
the gift box in cubic inches?
1 2 3 4 5
25% 25%25%25%A. 24 in3
B. 14 in3
C. 12 in3
D. 9 in3
A paint tray measures 15 centimeters by 10 centimeters by 4 centimeters. How many cubic centimeters of paint will the tray hold?
1 2 3 4 5
25% 25%25%25%
A. 29 cm3
B. 80 cm3
C. 400 cm3
D. 600 cm3
George Washington’s house at Mount Vernon is 93 feet long and 32 feet wide. How many square feet does the house occupy?
1 2 3 4 5 2
50 ft
2
465
ft2
287
6 ft2
297
6 ft2
25% 25%25%25%
A. 250 ft2
B. 465 ft2
C. 2876 ft2
D. 2976 ft2
Georgia bought 5 large oranges. Which is the best estimate of the total weight of
the oranges?
1 2 3 4 5 3
oz
8 o
z 3
lb 8
lb
25% 25%25%25%
A. 3 oz
B. 8 oz
C. 3 lb
D. 8 lb
Mr. Rowan travels often and always brings his cell phone with him. Which is the best estimate of the mass of a cell phone?
1 2 3 4 5
5 g
200
g 5
kg
200
mg
25% 25%25%25%
A. 5 g
B. 200 g
C. 5 kg
D. 200 mg
SOL 6.11
The student will determine if a problem situationinvolving polygons of four or fewer sides
represents the application of perimeter or area and apply the appropriate formula.
Carlos is replacing the carpet in his closet. The closet is a perfect square measuring 4 feet on each side. How much carpet does Carlos need?
1 2 3 4 5
25% 25%25%25%
A. 16 ft
B. 16 ft2
C. 8 ft
D. 8 ft2
The large triangle is part of the set for a dance company’s performance. The triangle will be covered with square tiles that measure 1 centimeter on each side. How many tiles are needed to completely cover the triangle? The tiles can be snapped in half along their diagonals when necessary.
1 2 3 4 51,
190
1,29
0
67,5
00
135,
000
25% 25%25%25%A. 1,190
B. 1,290
C. 67,500
D. 135,000
A dog lives on a lot with an electric fence running around the outside edge of the property. The rectangular lot is 50 feet wide and 100 feet long. How many feet of electric fence are on the property?
1 2 3 4 5
25% 25%25%25%
A. 150 ft
B. 200 ft2
C. 300 ft
D. 5,000 ft2
A white flag shaped like a triangle has a red ribbon border. The flag is 8 inches wide at the base, and each side measures 10 inches. How many inches of red ribbon are on the flag?
1 2 3 4 5
25% 25%25%25%A. 28 in.
B. 36 in.
C. 40 in2
D. 80 in2
SOL 6.12a
The student will solve problems involving the circumference and/or area of a circle
when given the diameter or radius.
A circle has a radius of 4 units. What is the circumference of the circle?
1 2 3 4 5
25% 25%25%25%A. 16π units
B. 8 π units
C. 4 π units
D. 2 π units
A circle has a diameter of 14 feet. What is the area of the circle? Use 22/7 for pi.
1 2 3 4 5 6
16 ft
2
154
ft2
44
ft2
22
ft2
25% 25%25%25%A. 616 ft2
B. 154 ft2
C. 44 ft2
D. 22 ft2
The radius of a circle is 15 meters. What is the area of the circle?
1 2 3 4 5
25% 25%25%25%
A. 15π m2
B. 30π m2
C. 225π m2
D. 900π m2
The University of Virginia Rotunda, or dome, is 77 feet in diameter. What is the circumference of the rotunda? Use 3.14 for pi.
1 2 3 4 5
25% 25%25%25%
A. 120.80 ft
B. 181.34 ft
C. 241.78 ft
D. 483.56 ft
A circle has a radius of 5 units. What is the area of the circle?
1 2 3 4 5
25% 25%25%25%
A. 25π units2
B. 10π units2
C. 5π units2
D. 5/2π units2
A circular outdoor playground has a diameter of 30 meters. What is thearea of the playground? Use 3.14 for π.
1 2 3 4 5
25% 25%25%25%
A. 94.2 m2
B. 188.4 m2
C. 706.5 m2
D. 2,826 m2
What is the circumference of the circle? Use 3.14 for pi.
1 2 3 4 5
25% 25%25%25%
A. 12.56 cm
B. 25.12 cm
C. 50.24 cm
D. 100.48 cm
SOL 6.12b
The student will derive approximations for pi (π)from measurements for circumference and diameter,
using concrete materials or computer models.
The circumference of a barrel is 301.44 centimeters. Its radius is 48 centimeters.
Which expression could be used to find the value for pi?
1 2 3 4 5
25% 25%25%25%A. 301.44 ÷ 48
B. 301.44 ÷ (48)2
C. 301.44 ÷ (48/2)
D. 301.44 ÷ (48 X 2)
A circle has an area of 346.5 square inches. Its diameter is 21 inches. How could you find the value of pi with this information?
1 2 3 4 5
25% 25%25%25%
A. Divide 21 by 2 to find the radius. Then square the radius. Divide 346.5 by the squared radius.
B. Divide 21 by 2 to find the radius. Divide 346.5 by the radius.
C. Multiply 21 by 2 to find the radius. Then square the radius. Divide 346.5 by the squared radius.
D. Square the diameter. Divide 346.5 by the squared diameter.
Monique was finding the value of pi. She put a string around the edge of an embroidery hoop and measured the string to find the circumference of the hoop. What other dimension of the hoop does she need to measure in order to find an approximation for pi?
1 2 3 4 5
25% 25%25%25%
A. the diameter
B. the weight
C. half the circumference
D. the circumference of a smaller hoop
Theo measured the circumference of a circular wastebasket as 37.7 inches and the diameter of the wastebasket as 12 inches. Which expression gives an approximation of pi?
1 2 3 4 5
37.
7/12
37.
7/62
37.
7/12
2
37.
7/6
25% 25%25%25%A. 37.7/12
B. 37.7/62
C. 37.7/122
D. 37.7/6
SOL 6.13a
The student will estimate angle measures, using45°, 90°, and 180° as referents, and use the
appropriate tools to measure the given angles.
What is the best estimate for the measure of the angle?
1 2 3 4 5
25% 25%25%25%A. 35
B. 45
C. 70
D. 90
Which is the best estimate for the angle measure?
1 2 3 4 5
25% 25%25%25%
A. 40
B. 100
C. 140
D. 175
What could be the measure of B in the triangle?
1 2 3 4 5
25% 25%25%25%A. 30
B. 90
C. 120
D. 180
Which tool would you use to measure an angle?
1 2 3 4 5
25% 25%25%25%
A. compass
B. protractor
C. ruler
D. calculator
SOL 6.13b
The student will measure and draw right, acute, and obtuse
angles and triangles.
How many degrees are in a right angle?
1 2 3 4 545 90 18
036
0
25% 25%25%25%A. 45
B. 90
C. 180
D. 360
Which term best describes the triangle shown?
1 2 3 4 5
25% 25%25%25%A. right
B. obtuse
C. acute
D. equilateral
Which definition best fits an acute triangle?
1 2 3 4 5 O
ne an
gle
mea
sure
s ...
Tw
o an
gles
have
the.
..
The
trian
gle h
as e
xact
..
All
angle
mea
sure
s ar
...
25% 25%25%25%A. One angle measures exactly 90 degrees.
B. Two angles have the same measurement.
C. The triangle has exactly one obtuse angle.
D. All angle measures are less than 90 degrees.
Which is an obtuse angle?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.
D.
Which statement is true?
1 2 3 4 5 E
very
acu
te a
ngle h
a...
Eve
ry a
cute
angle
ha.
..
Eve
ry a
cute
angle
ha.
..
Eve
ry a
cute
angle
ha.
..
25% 25%25%25%A. Every acute angle has a measure of more than 90 degrees.
B. Every acute angle has a measure of less than 90 degrees.
C. Every acute angle has a measure of 90 degrees.
D. Every acute angle has a measure of 60 degrees.
SOL 6.14
The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining properties.
Which figure has four sides of equal length?
1 2 3 4 5 rh
ombus
tria
ngle
rect
angle
trap
ezio
d
25% 25%25%25%A. rhombus
B. triangle
C. rectangle
D. trapeziod
Which figure is shown?
1 2 3 4 5
25% 25%25%25%
A. trapezoid
B. obtuse triangle
C. rhombus
D. equilateral triangle
What do rectangles and squares not have in common?
1 2 3 4 5 B
oth h
ave
exac
tly tw
...
Both
hav
e fo
ur rig
ht ...
Both
hav
e tw
o pai
rs o
...
Both
hav
e fo
ur sid
es ..
25% 25%25%25%A. Both have exactly two diagonals.
B. Both have four right angles.
C. Both have two pairs of parallel sides.
D. Both have four sides of equal length.
Which term best describes the figure?
1 2 3 4 5
25% 25%25%25%
A. quadrilateral
B. trapezoid
C. rectangle
D. polygon
Which statement best describes a circle?
1 2 3 4 5 A
circ
le is
a p
olygo
n ...
All
points
in a
circ
le a
..
A c
ircle
is m
ade
up o
...
All
lines
that
cro
ss a
c...
25% 25%25%25%A. A circle is a polygon with only one side.
B. All points in a circle are an equal distance from the center.
C. A circle is made up of one line with no angles.
D. All lines that cross a circle pass through its center.
Which is a trapezoid?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.
D.
SOL 6.15
The student will determine congruence of segments, angles, and polygons by direct
comparison, given their attributes. Examples of noncongruent and congruent figures will be
included.
Which two segments are congruent?
1 2 3 4 5
25% 25%25%25%
A. AB and EF
B. CD and EF
C. EF and GH
D. CD and GH
How can you determine that a pair of triangles are congruent?
1 2 3 4 5 If
the
trian
gles
are
equ...
The
base
mea
sure
me.
..
The
sum
of t
he in
teri.
.
The
corre
spond
ing s
...
25% 25%25%25%A. If the triangles are equilateral, then they are congruent.
B. The base measurements and height measurements of the triangles are congruent.
C. The sum of the interior angles of both triangles is 180 degrees.
D. The corresponding sides of the triangles are congruent.
Teresa has a square photograph that measures 5 inches on each side. Which is congruent to Teresa’s photograph?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.D.
Angle L measures 45 degrees. Which angle is congruent to L?
1 2 3 4 5
RQ
S
S
QT
T
QU
R
QU
25% 25%25%25%A. RQS
B. SQT
C. TQU
D. RQU
What must the value of x be for the two polygons to be congruent?
1 2 3 4 5
25% 25%25%25%A. 2 m
B. 3 m
C. 3.5 m
D. 4 m
SOL 6.16
The student will construct the perpendicular bisector of a line segment and an angle bisector.
What is the measure of DC if BD is a perpendicular bisector?
1 2 3 4 5
25% 25%25%25%
A. 1.5 in.
B. 2 in.
C. 3.5 in.
D. 4 in.
The measure of an angle is 80 degrees. If you constructed an angle bisector, what would be the measure of each of the two
new angles?
1 2 3 4 5
25% 25%25%25%A. 40
B. 45
C. 80
D. 160
In which figure does a diagonal always form an angle bisector?
1 2 3 4 5
rect
angle
trap
ezoi
d
squar
e
quad
rilat
eral
25% 25%25%25%
A. rectangle
B. trapezoid
C. square
D. quadrilateral
Which point would be part of the perpendicular bisector of MQ?
1 2 3 4 5
25% 25%25%25%
A. point N
B. point O
C. point P
D. point Q
How many perpendicular bisectors can a line segment have?
1 2 3 4 5
one
two
four
an in
finite
num
ber
25% 25%25%25%A. one
B. two
C. four
D. an infinite number
Which fact would prove that a ray formed an angle bisector?
1 2 3 4 5 T
he orig
inal
angle
m...
The
origin
al a
ngle m
...
The
angle
s on e
ither
...
The
ray
form
s a
perp...
25% 25%25%25%A. The original angle measure is an even number.
B. The original angle measures exactly 180 degrees.
C. The angles on either side of the ray are congruent.
D. The ray forms a perpendicular angle with a line.
SOL 6.17
The student will sketch, construct models of, and classify solid figures (rectangular prism, cone, cylinder,
and pyramid).
Which is a cone?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.D.
What type of solid is a cereal box?
1 2 3 4 5
cone
cyl
inder
pyr
amid
rect
angula
r pris
m
25% 25%25%25%A. cone
B. cylinder
C. pyramid
D. rectangular prism
Which term describes the solid?
1 2 3 4 5
25% 25%25%25%
A. cylinder
B. cone
C. pyramid
D. prism
Which term describes the solid?
1 2 3 4 5
25% 25%25%25%
A. triangular prism
B. cone
C. cube
D. pyramid
SOL 6.18a
The student, given a problem situation, will collect, analyze, display, and interpret data using line, bar, and circle graphs; Circle graphs will be
limited to halves, fourths, and eighths.
Orvish wants to show how much the Washington, D.C., area has grown. He has data for the number of students attending area middle schools over the last 10 years. How can Orvish best display his data?
1 2 3 4 5
25% 25%25%25%
A. stem-and-leaf plot
B. box-and-whisker plot
C. circle graph
D. line graph
The circle graph shows the favorite juice for a group of preschoolers. What fraction of preschoolers like cranberry juice best?
1 2 3 4 5
25% 25%25%25%A. ¾
B. ½
C. ¼
D. ⅛
SOL 6.18b
The student, given a problem situation, will collect, analyze,
display, and interpret data using stem-and-leaf plots.
Eight students belong to the math club. Their heights are displayed in the stem-and-leaf plot. How many students are at least 5 feet tall?
1 2 3 4 5
25% 25%25%25%
A. 3
B. 4
C. 5
D. 6
This stem-and-leaf plot gives the lengths in inches of snakes caught in Cumberland Gap National Historic Park. How many snakes were more than 25 inches long?
1 2 3 4 5
25% 25%25%25%A. 5
B. 7
C. 8
D. 9
How many park areas are represented in this plot?
1 2 3 4 57 9 12 15
25% 25%25%25%
A. 7
B. 9
C. 12
D. 15
What is the area of the smallest park included on this stem-and-leaf plot?
1 2 3 4 5
25% 25%25%25%A. 150 acres
B. 205 acres
C. 510 acres
D. 850 acres
SOL 6.18c
The student, given a problem situation, will collect,
analyze, display, and interpret data using box-and-whisker plots.
What does the box in a box-and-whisker plot represent?
1 2 3 4 5 T
he box
repre
sents
th...
The
box co
vers
the
...
The
box sh
ows
the
a...
The
box co
ntai
ns onl..
.
25% 25%25%25%A. The box represents the range of the median of the data.
B. The box covers the middle 50% of the data.
C. The box shows the average of the data.
D. The box contains only data that are reasonable.
The box-and-whisker plot shows how many points a women’s basketball team scored during its home games at a Virginia university. What was the median score for the home games?
1 2 3 4 5
25% 25%25%25%
A. 50
B. 60
C. 64
D. 80
The average maximum temperatures each month in Roanoke:
47, 49, 56, 68, 78, 85, 88, 87, 81, 70, 57, 48.Which is the correct box-and-whisker plot for
this data?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.
D.
The average maximum temperatures each month in Roanoke:
47, 49, 56, 68, 78, 85, 88, 87, 81, 70, 57, 48.What is the median of the average monthly
maximum temperatures in Roanoke?
1 2 3 4 5 5
2 de
grees
69
degre
es
70
degre
es
83
degre
es
25% 25%25%25%A. 52 degrees
B. 69 degrees
C. 70 degrees
D. 83 degrees
SOL 6.19
The student will describe the mean, median, and mode as measures of central
tendency, describe the range, anddetermine their meaning for a set of data.
The mean grade for a science test was 77. What does the mean tell you about the test
grades of the class?
1 2 3 4 5
25% 25%25%25%A. Most students scored 77.
B. More students scored 77 than any other grade.
C. The grades ranged over 77 points.
D. The average grade for the class was 77.
Jenna recorded the tree pollen count for the Richmond area each day for a week.
Her data are:150 280 310 240 420 670 240
What was the median tree pollen count for the week?
1 2 3 4 5
25% 25%25%25%A. 520
B. 330
C. 280
D. 240
What is the mode of the data?1.2 1.8 2.0 1.8 1.5 2.2 0.9 1.4
1 2 3 4 51.
21.
61.
65 1.8
25% 25%25%25%
A. 1.2
B. 1.6
C. 1.65
D. 1.8
How can you determine the range for a set of data?
1 2 3 4 5 S
ubtract
the
leas
t n...
Add a
ll th
e nu
mber
s ...
Fin
d the
numbe
r in th
...
Arr
ange
the
data
from
...
25% 25%25%25%A. Subtract the least number from the greatest number.
B. Add all the numbers together and divide by the number of items in the set of data.
C. Find the number in the data that occurs the most often.
D. Arrange the data from least to greatest and determine which number falls in the middle of the set.
Taylor’s soccer team had the following scores this season:
3, 4, 3, 2, 0, 1, 3, 4, 5, 1. What is the mean of the team’s scores?
1 2 3 4 51
2.6 3
3.6
25% 25%25%25%A. 1
B. 2.6
C. 3
D. 3.6
A scientist studying Virginia’s wildlife captures cardinals and measures their length in
centimeters before releasing them. She records these data:
19.5 20.5 23.0 22.5 21.5What is the range of the cardinals’ length?
1 2 3 4 5 3
.5 c
m
4.5
cm
21.
5 cm
23.
0 cm
25% 25%25%25%A. 3.5 cm
B. 4.5 cm
C. 21.5 cm
D. 23.0 cm
Marisol weighs each pork chop in a package. Their weights, in pounds, are 0.28, 0.33, 0.29, 0.39, and 0.21. What is the median weight of
the pork chops?
1 2 3 4 5
25% 25%25%25%A. 0.18 lb
B. 0.29 lb
C. 0.3 lb
D. 1.5 lb
What is the mean of the data?200 150 150 300
150
162.
517
520
0
0%0%0%0%
A. 150
B. 162.5
C. 175
D. 200
1 2 3 4 5
SOL 6.20a
The student will make a sample space for selected experiments and represent it in the form of a list,
chart, picture, or treediagram.
There are no slides for this SOL –they would not fit on a slide.
SOL 6.20b
The student will determine and interpret theprobability of an event occurring from a given
sample space and represent the probability as a ratio, decimal or percent, as appropriate
for the given situation.
On the spinner, each section is the same size. What is the probability that the spinner
will land on a section marked Red?
1 2 3 4 5
25% 25%25%25%A. ⅛
B. ¼
C. ½
D. ¾
A futon store has 4 styles of futon mattresses, 2 finishes for the wood frames, and 8 fabrics. How can you find all the futon packages the
store offers?
1 2 3 4 5
25% 25%25%25%A. Multiply 4 by 8.
B. Make a tree diagram.
C. Graph all the style options.
D. Divide 8 by 2.
Sarra has a coin collection. Some of her coins were minted in the United States, some elsewhere. Sarra has an 80% chance of choosing a U.S. coin if she randomly selects a coin from her collection. Which statement best describes Sarra’s coin collection?
1 2 3 4 5
25% 25%25%25%
A. Twenty percent of Sarra’s coins were minted in other countries.
B. Sarra has exactly 20 coins from other countries.
C. Sarra has at least 80 coins that were minted in the United States.
D. One out of 80 coins in Sarra’s collection are U.S. coins.
A middle school in Bristol is giving away a prize at its fall carnival. The Galvan family fills
out 10 tickets for the prize. A total of 100 tickets are entered in the giveaway. What is the probability that the Galvans will win the
prize?
1 2 3 4 5 100
/10
1/9
1/1
0
1/1
00
25% 25%25%25%A. 100/10
B. 1/9
C. 1/10
D. 1/100
One student is selected at random from a committee of 6 boys and 4 girls to be the
leader for planning the class trip to Monticello. What is the probability the leader
chosen is a girl?
1 2 3 4 5 2/3
3/5
2/5
1/4
25% 25%25%25%
A. 2/3
B. 3/5
C. 2/5
D. 1/4
SOL 6.21
The student will investigate, describe, and extendnumerical and geometric patterns, including
triangular numbers, patterns formed by powers of 10, and arithmetic sequences.
What is the next number in the sequence?
128, 64, 32, 16, _____
1 2 3 4 5
0 4 8 12
25% 25%25%25%A. 0
B. 4
C. 8
D. 12
How many dots will the next triangle have?
1 2 3 4 5
25% 25%25%25%A. 13
B. 14
C. 15
D. 21
On the planet Skeezit, the word for 10 is “ba.” The word for 100 is “baba” and the word for 1,000 is “bababa.” What number does the word “bababababa”
represent?
1 2 3 4 5
25% 25%25%25%A. 10,000
B. 100,000
C. 1,000,000
D. 10,000,000
Aaron is laying a flagstone pathway. He lays the flagstones in the pattern shown. Which
stone or stones will Aaron lay next?
1 2 3 4 5
25% 25%25%25%A.
B.
C.
D.
What is the next number in the sequence?
1, 6, 2, 7, 3, 8, 4, _____
1 2 3 4 5
25% 25%25%25%A. 0
B. 5
C. 7
D. 9
You can have tamales shipped to your home according to the prices in the table. If the
pattern continues, what would be the cost to ship 12 dozen tamales?
0%0%0%0%
A. $360
B. $120
C. $85
D. $80
1 2 3 4 5
A scarf has four different colored stripes. Their order is red, blue, white, yellow. If the pattern continues, what color is the
fourteenth stripe?
1 2 3 4 5
red
blu
e
white
yel
low
25% 25%25%25%A. red
B. blue
C. white
D. yellow
SOL 6.22
The student will investigate and describe conceptsof positive exponents, perfect squares, square
roots, and, for numbers greater than 10, scientific notation. Calculators will be used to develop
exponential patterns.
Which expression is equal to 53?
1 2 3 4 5
5 x
3 5
+ 3
5/3
5 x
5 x
5
25% 25%25%25%A. 5 x 3
B. 5 + 3
C. 5/3
D. 5 x 5 x 5
The area of a square is 36 square meters. What is the length of one side?
1 2 3 4 5 4
m 6
m 9
m 1
8 m
25% 25%25%25%A. 4 m
B. 6 m
C. 9 m
D. 18 m
Why is 100 a perfect square?
1 2 3 4 5 T
he sq
uare
root o
f 10.
..
The
number
100
can
..
Our n
umber
sys
tem
i...
A s
quare
with
an
area
..
25% 25%25%25%A. The square root of 100 is a whole number.
B. The number 100 can be evenly divided by 4.
C. Our number system is based on the number 100.
D. A square with an area of 100 is the only perfect square.
The land area of Virginia is about 39,600 square miles. What is the area
of the state in scientific notation?
1 2 3 4 5
25% 25%25%25%A. 0.396 x 105 mi2
B. 3.96 x 104 mi2
C. 396 x 104 mi2
D. 396 x 103 mi2
Which sequence of numbers can be calculated by substituting countingnumbers for n in the expression 3n?
1 2 3 4 5
25% 25%25%25%A. 3, 6, 9, 12, 15
B. 3, 9, 27, 45, 63
C. 3, 9, 27, 81, 243
D. 3, 6, 18, 108, 1,944
Which definition best describes the square root of a number n?
1 2 3 4 5
The
squar
e ro
ot of n
..
The
squar
e ro
ot of n
...
The
squar
e ro
ot of n
is..
The
squar
e ro
ot of n
, ...
25% 25%25%25%A. The square root of n is n multiplied by itself.
B. The square root of n multiplied by itself equals n.
C. The square root of n is a number that is divisible by itself.
D. The square root of n, divided by 4, is a whole number.
What is 1.2 x 106 in standard notation?
1 2 3 4 5
12
12,0
00
120,
000
1,20
0,00
0
25% 25%25%25%A. 12
B. 12,000
C. 120,000
D. 1,200,000
What is the value of the seventh number in the series 2, 4, 16, 256, … ?
1 2 3 4 5
576
16,3
84
4.3
x 1
09
1.8
5 x
1019
25% 25%25%25%A. 576
B. 16,384
C. 4.3 x 109
D. 1.85 x 1019
What is the value of √25?
1 2 3 4 5
5 1012
.5 25
25% 25%25%25%A. 5
B. 10
C. 12.5
D. 25
SOL 6.23a
The student will model and solve algebraic equations, using concrete materials.
Which equation do the algebra tiles model? A tile represents a variable. A tile
represents a positive unit, or 1.
1 2 3 4 5
25% 25%25%25%
A. x + 2 = 8
B. x = 2 + 8
C. 2x = 8
D. 2x = 8x
The algebra tiles model an equation. A tile represents a variable. A tile represents a
positive unit, or 1. A tile represents a negative unit, or 1. Which equation do the
algebra tiles model?
1 2 3 4 5 -2
x =
5
x =
5 –
2
2 -
x =
5
x -
2 =
5
25% 25%25%25%
A. -2x = 5
B. x = 5 – 2
C. 2 - x = 5
D. x - 2 = 5
How many square weights equal one rectangle?
1 2 3 4 5
25% 25%25%25%A. 2
B. 3
C. 4
D. 5
Which equation do the algebra tiles model?A circle tile represents a variable. A square
tile represents a positive unit, or 1.
1 2 3 4 5
25% 25%25%25%
A. 6x = 9
B. x/6 = 9
C. x + 9 = 6
D. x + 6 = 9
How many hearts equal one square?
1 2 3 4 5
25% 25%25%25%A. 2
B. 3
C. 6
D. 12
SOL 6.23b
The student will solve one-step linear equations in one variable, involving whole number coefficients and positive rational
solutions.
What is the solution to 10 = 2x?
1 2 3 4 58 6 5 2
25% 25%25%25%A. 8
B. 6
C. 5
D. 2
Jason has 12 dimes. Sophie has 2 more dimes than Jason. How many
dimes does Sophie have?
1 2 3 4 510 12 14 24
25% 25%25%25%
A. 10
B. 12
C. 14
D. 24
What is the solution of 14 = 12 + x?
1 2 3 4 52 12 13 26
25% 25%25%25%A. 2
B. 12
C. 13
D. 26
What is the solution of a - 12 = 7?
1 2 3 4 55 19 29 84
25% 25%25%25%A. 5
B. 19
C. 29
D. 84
What is the solution of b/4 = 3?
1 2 3 4 5 ¾ 1 7 12
25% 25%25%25%
A. ¾
B. 1
C. 7
D. 12
Leota drove 130 miles from Stony Creek to Quantico in 2.6 hours. What was her
average speed in miles per hour?
1 2 3 4 5
25% 25%25%25%A. 33.8 mi/h
B. 45 mi/h
C. 48.4 mi/h
D. 50 mi/h
SOL 6.23c
The student will use the following algebraic terms appropriately: variable, coefficient, term, and
equation.
Which term best describes the number 2 in the statement below?
10 = 2x - 1
1 2 3 4 5
25% 25%25%25%A. coefficient
B. equation
C. variable
D. expression
What is the variable in the equation 500 = 5x + 10?
1 2 3 4 5
x 5x 10 50
0
25% 25%25%25%
A. x
B. 5x
C. 10
D. 500
Which of the following is an equation?
1 2 3 4 5
5x
5 =
x +
3
x +
3 15
25% 25%25%25%A. 5x
B. 5 = x + 3
C. x + 3
D. 15
What is the coefficient of x in the expression 4y + 2x + 7z?
1 2 3 4 513 7 4 2
25% 25%25%25%A. 13
B. 7
C. 4
D. 2
How many terms does the expression 4y - 3 + 2x have?
1 2 3 4 51 2 3 4
25% 25%25%25%A. 1
B. 2
C. 3
D. 4
What is the variable in the equation 8a - 11 = 9?
1 2 3 4 5
8 = a 8a
25% 25%25%25%A. 8
B. =
C. a
D. 8a
What is 2x = 10 called?
1 2 3 4 5
a fu
nctio
n
an e
xpre
ssio
n
a p
olyn
omia
l
an e
quatio
n
25% 25%25%25%A. a function
B. an expression
C. a polynomial
D. an equation