Math 72008 Released SOL Items

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Notes

• The following section is Computation and Estimation. On the SOL test calculators are not permitted.

Ralph’s map of Virginia Beach uses a scale of 1 inch for every 7 miles. Ralph runs a distance of 13.2 miles

from his house in Virginia Beach every weekend. Which is closest to the number of inches needed to

represent this distance on Ralph’s map?

7.2 inch

es

7.0 inch

es

6.2 inch

es

1.9 inch

es

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 7.2 inchesB. 7.0 inchesC. 6.2 inchesD. 1.9 inches

Max surveyed students on his website and asked each to select 1 favorite after-school activity. The percents of the total number of students who responded for each activity are shown in the table. If 126 students selected watching

movies, how many total students responded to Max’s survey?

108144

7002268

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 108B. 144C. 700D. 2,268

A jug of drinking water contained 1½ gallons. After one day, ⅝ gallon had been used. How much water was left in the jug?

½ gallo

n

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. ½ gallonB. ⅞ gallonC. 1 ⅔ gallonsD. 1 ⅛ gallons

Kevin mixes paint using 8 ounces of yellow paint for every 3 ounces of white paint. At this rate, how many ounces of white paint would be

mixed with 24 ounces of yellow paint?

8 9 19 64

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 8B. 9C. 19D. 64

Lynne loaned $480 to a friend. The friend paid back the amount borrowed plus 10% interest. What was the total amount the friend paid

to Lynne?

$480.10 $484.80 $490.00 $528.00

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $480.10B. $484.80C. $490.00D. $528.00

Eli can type 1 page in 10 minutes. How many total pages can he type in one hour?

1 6 10 60

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 1B. 6C. 10D. 60

The change in the number of students enrolled at a school over six months is shown in the following

table. The number of students enrolled at the end of September was 4,327. What was the number of

students enrolled in the school at the end of March?

42754300

43254352

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 4,275B. 4,300C. 4,325D. 4,352

Notes

• Students may use a calculator for the remainder of the test.

Which set is ordered greatest to least ?

{ 16%, 0

.166, ...

{1.6 × 106, 1

6...

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. { 16%, ⅙, 1.6 × 106 , 0.166 }B. { 16%, 0.166, ⅙, 1.6 × 106 }C. {1.6 × 106, 16%, ⅙, 0.166 }D. {1.6 × 106, ⅙, 0.166, 16%}

Which property is used in the following number sentence? 4(3+n) = (4·3) + (4·n)

Dist

ributive

p...

Additive

inve

r...

Associa

tive pr..

.

Commutative pr..

.

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. Distributive propertyB. Additive inverse propertyC. Associative property of additionD. Commutative property of

addition

Which of the following is another way of expressing 2 out of 8 ?

2.50%25% 2.5 25

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 2.5%B. 25%C. 2.5D. 25

Which list is in order from least to greatest ?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 0.17, 40%, ⅔, ⅝, 0.78B. 0.17, 40%, ⅝, ⅔, 0.78C. 0.78, ⅝, ⅔, 40%, 0.17D. 0.78, ⅔, ⅝, 40%, 0.17

The fraction ⅛ is equivalent to —

0.01%0.13%

12.50%125%

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 0.012%B. 0.125%C. 12.5%D. 125%

Which of the following equations illustrates the multiplicative property of zero?

10 · 0 = 0

10(15 · 0) =

1...

10(8 + 0) = 10...

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 10 · 0 = 0B. 10 + (−10) = 0C. 10(15 · 0) = 10(0 · 15)D. 10(8 + 0) = 10 · 8 + 10 · 0

Which is false ?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 35 ÷ (−30 + 37) = (−35 ÷ −30) + (−35 ÷ 37)B. (−891 + 345) − −78 = −891 + (345 − −78)C. −5 · (−35 + 42) = (−5 · −35) + (−5 · 42)D. −62 + 123 = 123 + −62

Which ordered pair describes a point with a location in the second quadrant on a coordinate grid?

(6,5)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. (−6,−5)B. (−6,5)C. (6, −5)D. (6,5)

Which pair of triangles is most likely similar?

1 and 4

2 and 5

3 and 5

4 and 2

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 1 and 4B. 2 and 5C. 3 and 5D. 4 and 2

Travis is making a wall hanging out of different colors of glass. The shape of the wall hanging is shown on the grid below. Which is closest to the total amount

of glass needed to make the wall hanging?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 28 square unitsB. 34 square unitsC. 36 square unitsD. 40 square units

Translate the figure vertically 6 positive units. Which best describes the location of the image of vertex V ?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. (5, −8)B. (5, 4)C. (−1,−2)D. (11,−2)

Which of the following is a pentagon?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A.

B.

C.

D.

Which is most likely the type of transformation that takes place from Figure 1

to Figure 2 on the coordinate grid below?25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. Rotation about the origin

B. DilationC. TranslationD. Reflection across

the y-axis

The following is true about similar triangles ABC and DEF.

Which could be the lengths of BC and EF ?

BC = 6 an

d EF...

BC = 9 an

d EF...

BC = 3 an

d EF...

BC = 3 an

d EF...

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. BC = 6 and EF = 3B. BC = 9 and EF = 3C. BC = 3 and EF = 6D. BC = 3 and EF = 9

Trevor covered a cylindrical can with paper for a project. The can is 18 centimeters tall and

has a 5-centimeter radius. Which is closest to the minimum amount of paper Trevor needed

to cover the entire can?

283 cm2

644 cm2

722 cm2

1,413 cm2

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 283 cm2

B. 644 cm2

C. 722 cm2

D. 1,413 cm2

Which of the following quadrilaterals has exactly one pair of parallel sides?

Rhombus

Trapezoid

Rectangle

Paralle

logram

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. RhombusB. TrapezoidC. RectangleD. Parallelogram

What type of polygon is this?

Pentagon

Hepta

gon

Hexa

gon

Deca

gon

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. PentagonB. HeptagonC. HexagonD. Decagon

A powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters

and a height of 14 centimeters. Which is closest to the maximum number of cubic

centimeters the container will hold?

126 cm3

396 cm3

504 cm3

1,583 cm3

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 126 cm3

B. 396 cm3

C. 504 cm3

D. 1,583 cm3

Bob wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a window with the dimensions shown. If Bob does not paint the

window, what is the total shaded area he will paint?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 144 sq ftB. 104 sq ftC. 50 sq ftD. 40 sq ft

Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the

results in the table. Based on the table, which bill has an experimental probability of 7/25 for being

drawn from the bag next?

$1 $5 $10 $20

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $1B. $5C. $10D. $20

Look at the table. What is the median number of kites sold per year?

680668

540240

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 680B. 668C. 540D. 240

At Van’s Video Store, 30% of the children’s movies are animated. If a customer randomly chooses one children’s movie, what is the probability

that the movie he chooses will be animated?

3/10

1/3 2/3 7/1

0

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 3/10B. 1/3C. 2/3D. 7/10

Tim wants his mean (average) quiz score in history class to be 90. His first 3 quiz scores were 86, 92, and 94. What score should he make on the 4th

quiz in order to have a mean (average) quiz score of exactly 90 ?

85 88 93 95

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 85B. 88C. 93D. 95

Three families are playing a board game and need to form teams of 3 players with 1 player from each family. How many different teams containing 1 member from each family could

be formed?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 3B. 9C. 18D. 27

A school club listed the attendance at its weekly meetings as follows.12, 9, 20, 15, 13, 8, 16, 12, 18, 10, 26, 14, 24, 17, 18

Which statement is best supported by the data?

There is

no mo...

There is

only ...

There ar

e only...

There ar

e thre

...

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. There is no mode.B. There is only one mode.C. There are only two modes.D. There are three modes.

What is the lower quartile in the box-and-whisker plot?

10 35 60 65

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 10B. 35C. 60D. 65

The rosebushes in Pattie’s Plant Store have the following colors:

• 20% yellow blooms.• 50% red blooms.• 30% pink blooms.

If George selected a rosebush at random today, what is the probability that it will produce yellow blooms?

1/5 3/1

0 1/2 4/5

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 1/5B. 3/10C. 1/2D. 4/5

The Augusta City Chamber of Commerce computed the average dinner price for two at several area restaurants. What is the range of the prices displayed in the box-and-whisker

plot?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 20B. 25C. 50D. 65

Which scatterplot best shows there is no significant relationship between the heights of a group of people and the total amount of money they spend on food each week?

A B C D

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

Jackie is in a fashion show at school. For her first outfit she may choose from 3 different

colored shirts, 2 pairs of pants, and 3 pairs of shoes. From how many different possible

outfits of 1 shirt, 1 pair of pants, and 1 pair of shoes can Jackie choose?

3 8 11 18

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 3B. 8C. 11D. 18

Kirk wrote the number pattern shown below.0, 2, 5, 9, 14, 20

He found that the differences between the numbers increased by 1 as shown below.

If the differences continue to increase by 1, what will be the 9th number in Kirk’s original pattern?

35 38 44 54

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 35B. 38C. 44D. 54

Which phrase best represents the following?

Seven added to

...

Seven added to

...

The sum of s

ev...

Five

divided b...

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. Seven added to the quotient of a number and five

B. Seven added to the quotient of five and a number

C. The sum of seven and five divided by a number

D. Five divided by a number added to seven

Which represents all the values for u that make the following true?u + 5 > 7

u > 2

u > 12

u < 2

u < 12

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. u > 2B. u > 12C. u < 2D. u < 12

What value of p makes the following true?p − 4.5 = 2.5

2. 7.

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. −7.0B. −2.0C. 2.0D. 7.0

What is the solution to the number sentence?

c = 4

c = 30

c = 50

c = 400

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. c = 4B. c = 30C. c = 50D. c = 400

Which could be used to find the number n?

Four less than a number, n, is equal to fifteen.

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. n − 4 = 15B. 4 − n = 15C. n − 15 = 4D. 15 − n = 4

Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year

at the fair?

$8 $21 $27 $72

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $8B. $21C. $27D. $72

6z > 36The above is —

an expressi

on

an equation

an inequalit

y

a variable

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. an expressionB. an equationC. an inequalityD. a variable

A large box contains 11 smaller boxes of raisins. The price of the large box is $2.75. Each of the smaller boxes of raisins costs the same amount.

Which could be used to find d, the price of a smaller box?

11d = 2.75

d + 11 = 2.75

d/1

1 = 2.75

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 11d = 2.75B. d + 11 = 2.75C. d − 11 = 2.75D. d/11 = 2.75

Which table contains only values that satisfy the following? y = x + 5

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

The graph displays the relationship between time and profit. Which equation represents the

relationship between time (t) and profit (P) ?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. One

B. Two

C. Three

D. Four

Which is an expression?

5x + 3

5x = 3

5x < 3

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 5x + 3B. 5x = 3C. 5x ≥ 3D. 5x < 3