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XV. Mathematics, Grade 10

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XV. Mathematics, Grade 10

261

Grade 10 Mathematics TestThe spring 2013 grade 10 Mathematics test was based on standards in the 2011 Massachusetts Curriculum Framework for Mathematics that match content in the grade 9–10 standards from the 2000 Massachusetts Mathematics Curriculum Framework. The standards in the 2011 framework on the grade 10 test are organized under the five major domains listed below.

Number and Quantity

Algebra

Functions

Geometry

Statistics and Probability

The Curriculum Framework for Mathematics is available on the Department website at www.doe.mass.edu/frameworks/current.html. More information and a list of standards assessable on the spring 2013 test are available at www.doe.mass.edu/transition/2013-14g10math.html.

Mathematics test results for grade 10 are reported under four MCAS reporting categories, which are based on the five framework domains listed above.

Test Sessions

The grade 10 Mathematics test included two separate test sessions, which were administered on consecutive days. Each session included multiple-choice and open-response questions. Session 1 also included short-answer questions.

Reference Materials and Tools

Each student taking the grade 10 Mathematics test was provided with a grade 10 Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this chapter.

During session 2, each student had sole access to a calculator with at least four functions and a square root key. Calculator use was not allowed during session 1.

The use of bilingual word-to-word dictionaries was allowed for current and former English language learner students only, during both Mathematics test sessions. No other reference tools or materials were allowed.

Cross-Reference Information

The table at the conclusion of this chapter indicates each item’s reporting category, the 2011 framework standard it assesses, and the 2000 framework standard it assesses. The correct answers for released multiple-choice and short-answer questions are also displayed in the table.

262

Grade 10 MathematicsSeSSion 1

You may use your reference sheet during this session.You may not use a calculator during this session.

DIRECTIONSThis session contains fourteen multiple-choice questions, four short-answer questions, and three open-response questions. Mark your answers to these questions in the spaces provided in your Student Answer Booklet.

ID:273329 C Common EQ

●1 Whichof the following is equivalent tothe expressionbelow?

x x6 2•

A. x3

B. x4

C. x8

D. x12

ID:294006 CMC122_numberline2.eps A Common EQ

●2 Whichpoint on thenumber linebelow

is closest to thevalueof 152 ?

12 14 1613 15

J L MK

A. pointJ

B. pointK

C. pointL

D. pointM

ID:292914 A Common EQ

●3 What is thevalueof the expressionbelow?

13 6 4 9 4 9• •( )

A. 38

B. 62

C. 98

D. 114

ID:281587 B Common EQ

●4 What is the smallest valueofx thatmakes the inequality below true?

0 5 18 14. x

A. 2

B. 8

C. 16

D. 64

263

Mathematics Session 1

ID:282172 CMC544_drawn_line.eps [st C Common EQ

●5 Carmenmade thescatterplot shownbelow.

y

x

Whichof the following shows thedata inCarmen’s scatterplotwith a lineof bestfit?

C. y

x

D. y

x

A. y

x

B. y

x

264

Mathematics Session 1

ID:288121 CMC527_apartment.eps D Common EQ

●6 The lineplot below shows the area,in square feet, of each studio in an art center.

800 900 1000 1100 1200 1300 1400 1500

XXX X

X X X X X X

Area of Studios (in square feet)

What is themean areaof the studios in the art center?

A. 700 square feet

B. 1000 square feet

C. 1050 square feet

D. 1080 square feet

ID:293986 C Common EQ

●7 Whichof the following is equivalent tothe expressionbelow?

( . ) .0 4 2 1 3

A. 1 3 0 4 2. ( . )

B. ( . ) .2 0 4 1 3

C. 1 3 0 4 2. ( . )

D. ( . ) .2 0 4 1 3

ID:279246 B Common EQ

●8 Whichof the following expressionsdoesnot equal 0?

A. ( )6 2 2 6

B. ( )2 6 6 2

C. 6 2 2 6

D. 2 6 6 2

ID:261532 D Common EQ

●9 Thevolumeofacube is231cubic inches.

Whichof the following is closest to thelengthof each edgeof the cube?

A. 16 inches

B. 15 inches

C. 7 inches

D. 6 inches

265

Mathematics Session 1

ID:294637 CMC512_towns.eps C Common EQ

●10 The lineplot below shows the area, insquaremiles, of each town in a county.

Area of Each Town in a County(in square miles)

20 25 30 35 40 45 50 55 60 65 70 75 80

X X

XXX

XX X X

X

What is themedian area, in squaremiles, of the towns in the county?

A. 50

B. 45

C. 40

D. 35

ID:294682 CMC540_teacher.eps C Common EQ

●11 The scatterplot below shows therelationshipbetween thenumberofteachers and thenumberof students ateach school in one school district.

0

20

40

60

80

100

120

140

160

180

200

200

400

600

80010

0012

0014

0016

0018

0020

0022

00

Number of StudentsN

umbe

r of

Tea

cher

s

Number of Teachers andStudents at Each School

Anewschoolfor1600studentswillbebuiltinthedistrict.Basedonthelineofbestfitforthescatterplot,whichofthefollowingisclosesttothenumberofteachersthatwillworkatthenewschool?

A. 40

B. 70

C. 90

D. 140

266

Mathematics Session 1

ID:299936 ESE113_parallelogram.eps C Common EQ

●12 ParallelogramWXYZ anddiagonalWY are shown in thediagrambelow.

X Y

W Z

Whichof the following statements bestproves that XWY ZYW ?

A. If twoparallel lines are cut by atransversal, then corresponding angles are congruent.

B. If twoparallel lines are cut by atransversal, then complementaryangles are congruent.

C. If twoparallel lines are cut by atransversal, then alternate interiorangles are congruent.

D. If twoparallel lines are cut by atransversal, then alternate exteriorangles are congruent.

ID:294020 B Common EQ

●13 Mr.Thurman’s lawn is rectangular andhas awidthof 92 feet and a lengthof147 feet.He is going to cover his entirelawnwithgrass seed.

Onebagof grass seed costs $53.47.Thegrass seed in onebagwill cover an areaof approximately5000 square feet.

Whichof the following estimates isclosest to the total cost of thebagsofgrass seedMr.Thurmanwill need tocover his lawn?

A. $100

B. $150

C. $200

D. $250

ID:278554 B Common EQ

●14 What is thevalueofx in the solutionofthe systemof equationsbelow?

3 2 6x y2 10x y

A. 2

B. 4

C. 10

D. 16

267

Mathematics Session 1

Questions 15 and 16 are short-answer questions. Write your answers to these questions in the boxes provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet.

ID:279302 WDN002_altitude.eps Common EQ

●15 The diagram below shows a triangle and some of its measurements.

10 cm 10 cm

12 cm

h

The triangle has an area of 48 square centimeters. What is h, the height, in centimeters, of the triangle?

ID:294026 Common EQ

●16 What is thevalueof the expressionbelow?

100 60 4 3•

268

Mathematics Session 1

Question 17 is an open-response question.

• BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.• If you do the work in your head, explain in writing how you did the work.

Write your answer to question 17 in the space provided in your Student Answer Booklet.

ID:288090 CMC503_recycle.eps Common EQ

●17 The scatterplot below shows thenumberof poundsof newspaper that a recycling clubrecycledpermonth for 10months.

50100150200250300350400450500550600650700750800850900950

1000

0

Num

ber

of P

ound

s

1 2 3 4 5 6 7 8 9 10 11 12

Month

Number of Pounds ofNewspaper Recycled

a. What is the total number ofmonths forwhichmore than500poundsof newspaper wasrecycledpermonth?

b. What is the rangeof thenumbers of poundsof newspaper recycledpermonth for the 10months?Showor explainhowyougot your answer.

c. What is themediannumberof poundsof newspaper recycledpermonth for the10months?Showor explainhowyougot your answer.

Duringmonths11 and12, the club recycled a combined total of 600poundsof newspaper.The rangeof thenumbers of poundsof newspaper recycledpermonth for the12months isthe same as the range for the10months.

d. What is themediannumberof poundsof newspaper recycledpermonth for the12months?Showor explainhowyougot your answer.

269

Mathematics Session 1

Questions 18 and 19 are short-answer questions. Write your answers to these questions in the boxes provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet.

ID:294025 Common EQ

●18 Whatvalueofnmakes the equationbelow true?

2 • n n

ID:254560 Common EQ

●19 What is thevalueof the expressionbelow?

4 2 13( )

270

Mathematics Session 1

Questions 20 and 21 are open-response questions.

• BE SURE TO ANSWER AND LABEL ALL PARTS OF EACH QUESTION.• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.• If you do the work in your head, explain in writing how you did the work.

Write your answer to question 20 in the space provided in your Student Answer Booklet.

ID:294030 Common EQ

●20 The table below shows thenumbers of tickets sold for threeprofessional baseball games at astadium.

Baseball Game Ticket Sales

Day Number of Tickets Sold

Friday 31,937

Saturday 28,359

Sunday 38,031

a. Estimate the difference in thenumberof tickets sold forFriday’s game and thenumberoftickets sold forSunday’s game.Showor explainhowyougot your estimate.

ForSaturday’sgame, thestadiumticketofficesold71.6%of the totalnumberof ticketsavailable.

b. Estimate the total number of tickets thatwere available forSaturday’s game.Show orexplainhowyougot your estimate.

The table below shows theprices of tickets that the stadium ticket office sells.

Prices of Tickets

Type of Ticket Price

bleacher $11.25

pavilion $24.75

grandstand $53.75

An equal numberof bleacher, pavilion, andgrandstand tickets are available for eachgame.

c. Estimate the averageprice, in dollars, of a ticket at the stadium.Showor explainhowyougot your estimate.

d. Useyour answer frompart (c) toestimate the total amount ofmoney, in dollars, thestadium ticket office received in ticket sales for thegamesonFriday,Saturday, andSunday.Showor explainhowyougot your estimate.

271

Mathematics Session 1

Write your answer to question 21 in the space provided in your Student Answer Booklet.

ID:296368 Common EQ

●21 Acompanypackagesbarbeque sauce in twodifferent-sizedbottles, small and large.Althoughthe label on each small bottle states that thebottle contains 18ouncesof sauce, the companyallows a toleranceof plus orminus0.25ounce for the amount of sauce in each small bottle.Inmanufacturing, tolerance is the amount of error that is allowed in packaging a product.

a. What is themaximum amount of sauce, in ounces, the company allows in each smallbottle?Showor explainhowyougot your answer.

In the absolute-value inequality below,x represents the amount of sauce, in ounces, thecompany allows in each small bottle.

x 18 0 25.

b. Solve the absolute-value inequality.Showor explainhowyougot your answer.

The company alsomakes a largebottle of barbeque sauce.

• The label on the largebottle states that eachbottle contains 24ouncesof sauce.

• Theminimumamount of sauce allowed in each largebottle is 23.55ounces.

• Themaximumamount of sauce allowed in each largebottle is 24.45ounces.

c. What is the tolerance, in ounces, the company allows for the largebottle?Showor explainhowyougot your answer.

d. Write an absolute-value inequality that representsy, the amount of sauce, in ounces, thecompany allows in the largebottle.

272

Grade 10 MathematicsSeSSion 2

You may use your reference sheet during this session.You may use a calculator during this session.

DIRECTIONSThis session contains eighteen multiple-choice questions and three open-response questions. Mark your answers to these questions in the spaces provided in your Student Answer Booklet.

ID:294492 CMC411_trapezoid.eps C Common EQ

●22 Thediagrambelow shows a trapezoidand its dimensions.

7.3 in.5.2 in.4.3 in.

15.5 in.

6.7 in.

What is the areaof the trapezoid?

A. 95.46 in.2

B. 57.72 in.2

C. 47.73 in.2

D. 34.70 in.2

ID:299933 B Common EQ

●23 Whichof the following is equivalent tothe expressionbelow?

( ) ( )6 4 9 3 2x y x y

A. 3 2 9x y

B. 3 6 9x y

C. 9 2 9x y

D. 9 6 9x y

ID:293168 WDN13_missingscale.eps A Common EQ

●24 A teacher recorded theheight of eachstudent in a class.Thebar graphbelowshows thenumberof students at eachheight.

60 61 62 63 64

1

2

3

4

5

6

7

8

Num

ber

of S

tude

nts

Height (in inches)

Student Heights

0

Which statement about thedata in thebar graph is true?

A. Themean is greater than themode.

B. Themedian is greater than themean.

C. Themedian is themiddle numberonthevertical axis.

D. Themode is the largest numberon thehorizontal axis.

273

Mathematics Session 2

ID:299946 ESE119_inequality.eps [op B Common EQ

●25 An inequality is shownbelow.

2 2 6 12x

Whichof the followinggraphs represents the solution to the inequality?

A.

–4–5–6 –3 –2 –1 0 1 2 3 4 5 6

B.

–4–5–6 –3 –2 –1 0 1 2 3 4 5 6

C.–4–5–6 –3 –2 –1 0 1 2 3 4 5 6

D.

–4–5–6 –3 –2 –1 0 1 2 3 4 5 6

274

Mathematics Session 2

ID:294312 CMC326_image.eps D Common EQ

●26 Triangle T is shownon thecoordinate grid below.

y

x–5–6–7 –3 –2–4 3 54 6 7

–5

–3

–1

–6–7

–4

–2

21–1 0

1

3

5

2

4

6

7

T'(4, –2)

R'(2, 3)

(–4, 1)S'

Triangle R S T is the imageof triangleRST after triangleRSTwas translated3units to the right and4units up.

Whatwere the coordinates of pointRbefore the translation?

A. (6,6)

B. (5,7)

C. (22,0)

D. (21,21)

ID:294667 D Common EQ

●27 The table below shows the rangesof thenumbers ofmiles that 14different carsweredrivenbetweenoil changes.

Miles Driven between Oil Changes

Range of Miles Driven

Number of Cars

1–2,000 2

2,001–4,000 5

4,001–6,000 4

6,001–8,000 2

8,001–10,000 1

Whichof the following is thegreatestpossiblemediannumberofmiles drivenbetweenoil changes?

A. 10,000

B. 7,000

C. 6,000

D. 5,000

275

Mathematics Session 2

ID:281729 CMC421_papertube.eps A Common EQ

●28 Thediagrambelow shows a pieceofpaper that has been rolled to formaright circular tube.

3 in.

8 in.

Basedon thedimensions in the diagram,whichof the following isclosest to the lateral surface areaof theoutsideof the tube?

A. 75 sq. in.

B. 82 sq. in.

C. 151 sq. in.

D. 207 sq. in.

ID:294180 B Common EQ

●29 Brooke rides her bicycle eachday.OnMonday, she rode the lengthofMapleStreet in 0.4 hour at a constantspeedof 15miles per hour.

What isBrooke’s constant speed if sherides the lengthofMapleStreet onTuesday in 0.3 hour?

A. 21miles per hour

B. 20miles per hour

C. 11miles per hour

D. 6miles per hour

276

Mathematics Session 2

ID:294645 CMC518_homecoming.eps [op D Common EQ

●30 Suzanna surveyed some students tofindout if theywould attend thehomecominggame.Thetable below shows the students’ responses.

Homecoming Game Survey

Student Response Number of Students

yes 23

no 12

maybe 30

Whichof the following circle graphsbest represents the information in the table?

A. HomecomingGame Survey

33 13—%

Yes

33 13—%

Maybe

33 13—%

No

B.

Maybe30%

No12%

Yes23%

HomecomingGame Survey

C.

Maybe50%

No17%

Yes33%

HomecomingGame Survey

D.

Maybe45%

No20%

Yes35%

HomecomingGame Survey

277

Mathematics Session 2

Question 31 is an open-response question.

• BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.• If you do the work in your head, explain in writing how you did the work.

Write your answer to question 31 in the space provided in your Student Answer Booklet.

ID:296369 Common EQ

●31 Katyawants to earn$1500 this summerbydoingyardwork.Sheplansonworking125hoursover the summer.

a. Basedonher plan,what is the rate, in dollars per hour, thatKatyamust charge customersfor doingyardwork to earn$1500over the summer?Showor explainhowyougot youranswer.

Katya alsowants to enroll in a summer class at a local college.As a result, shewill have towork50hours less than the total number of hours shehadoriginally planned.

b. What is the rate, in dollars per hour, thatKatyamust charge customers for doingyardworkto still earn$1500?Showor explainhowyougot your answer.

c. Write an equation that represents the relationshipbetweenx, the numberof hoursKatyawill have towork, andy, the rate shemust charge customers to earn$1500.

d. Explainhowa change inx, the numberof hoursKatyawill have towork, affectsy, therate shewill have to charge customers to earn$1500, in your equation frompart (c).

278

Mathematics Session 2

Mark your answers to multiple-choice questions 32 through 40 in the spaces provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet.

ID:294298 CMC312_RST.eps A Common EQ

●32 Thediagrambelow shows WXY . Point R lies onWY .

X

Y

RW

31°83°

18°

Basedon the anglemeasures in thediagram,what ism WXR?

A. 52°B. 83°C. 97°D. 131°

ID:294139 D Common EQ

●33 Thefirstfive termsof a geometricsequence are shownbelow.

252

1254

6258

312516

1562532, , , , , . . .

What is the common ratio of thesequence?

A. 52

B. 25

C. 25

D. 52

279

Mathematics Session 2

ID:288069 CMC426_transamericapyrami C Common EQ

●34 A right squarepyramid and someof itsdimensions are shown in thediagrambelow.

145 ft.

Slant height = 327 ft.

What is the lateral surface areaof thepyramid?

A. 47,415 sq. ft.

B. 68,440 sq. ft.

C. 94,830 sq. ft.

D. 115,855 sq. ft.

ID:299949 C Common EQ

●35 Whichof the following is equivalentto the expressionbelow for all positivevalues ofx ?

x xx x

2

26

5 6

A. 1

B. 611

C. xx

22

D.( )( )( )( )x xx x

3 26 1

280

Mathematics Session 2

ID:294293 CMC307_GHJ.eps A Common EQ

●36 TrianglesGHJ andKLM are congruent.The triangles and someof their anglemeasures are shown in thediagrambelow.

M

K

L

G

H

J45°

105°

Basedon the anglemeasures in thediagram,what ism JGH?

A. 30°B. 35°C. 40°D. 45°

ID:294177 A Common EQ

●37 Thedistance traveledby a student

walking at a constant rate varies directly

with the amount of time the student

walks.The studentwalked1 23 miles

in 23

hour.

Whichof the following represents therelationshipbetweend, the distance inmileswalkedby the student, and t, theamount of time in hours the studentwalked?

A. d t52

B. d t73

C. d t109

D. d t25

ID:294505 B Common EQ

●38 Thediameterofasphereis30centimeters.Whichofthefollowingisclosesttothesurfaceareaofthesphere?

A. 377 square centimeters

B. 2,827 square centimeters

C. 11,310 square centimeters

D. 45,239 square centimeters

281

Mathematics Session 2

ID:294626 D Common EQ

●39 The table below shows thedistancesjumpedby6Olympicgoldmedalists.

Distances Jumped by Gold Medalists

Gold Medalist Distance (meters)

FrankIrons 7.48

AlbertGutterson 7.60

WilliamPetersson 7.15

DeHartHubbard 7.44

EdHamm 7.73

EdGordon 7.64

Whatwas themediandistance jumpedby thegoldmedalists listed in the table?

A. 7.30meters

B. 7.34meters

C. 7.51meters

D. 7.54meters

ID:253197 inscr_sq.eps B Common EQ

●40 SquareWXYZ is inscribed in circleO,whichhas a radius of 8 feet, as shownbelow.

X Y

W

O

Z

8 feet

Whichof the following is closest to the

lengthof WZ ?

A. 8.0 feet

B. 11.3 feet

C. 13.9 feet

D. 16.0 feet

282

Mathematics Session 2

Questions 41 and 42 are open-response questions.

• BE SURE TO ANSWER AND LABEL ALL PARTS OF EACH QUESTION.• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.• If you do the work in your head, explain in writing how you did the work.

Write your answer to question 41 in the space provided in your Student Answer Booklet.

ID:288045 CMC402_fountain.eps Common EQ

●41 Aflower bed in the shapeof a right triangle has a circular fountain in it.Theflowerbed andsomeof itsmeasurements are shown in thediagrambelow.

Fountain

16 ft.20 ft.

x

Theperimeter of theflowerbed is 48 feet.

a. What isx, the length in feet of the third sideof theflower bed?Showor explainhowyougot your answer.

b. What is the area, in square feet, of theflower bed, including the fountain?Showor explainhowyougot your answer.

The circumferenceof the fountain is 8p feet.

c. What is the radius, in feet, of the fountain?Showor explainhowyougot your answer.

d. What is the area, in square feet, of theflower bed,not including the fountain?Showorexplainhowyougot your answer.

283

Mathematics Session 2

Write your answer to question 42 in the space provided in your Student Answer Booklet.

ID:294335 CMC345_KLMN.eps [stem_01, Common EQ

●42 QuadrilateralKLMN is shownon the coordinate grid below.

–1

123456789

–4–5–6–7–8–9

–9 –8 –7 –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 7 8 9

y

x0

(–6, –2)KL(–2, –3)

(–3, –6)M(–7, –5)N

Copy the coordinate grid andquadrilateralKLMN exactly as shownonto thegrid in yourStudentAnswerBooklet.

QuadrilateralKLMNwill be translated9units up.

a. Onyour grid, drawquadrilateral K L M N , the imageof quadrilateralKLMN after it hasbeen translated9units up.Be sure to label thevertices.

Quadrilateral K L M N will be reflectedover they-axis.

b. Onyour grid, drawquadrilateral K L M N , the imageof quadrilateral K L M N after it hasbeen reflectedover they-axis.Be sure to label thevertices.

c. Explainwhether a 180° rotationof quadrilateralKLMN about theoriginwould result inverticeswith the same coordinates as K L M N .

Quadrilateral K L M N will be rotated90° clockwise about point M to createquadrilateral K L M N .

d. What are the coordinates of point K ?

284

AREA FORMULAS

square .....................A =s2

rectangle.................A =bh

parallelogram.........A =bh

triangle...................A =12

bh

trapezoid .................A =12

h(b1+b2)

circle .......................A =pr2

VOLUME FORMULAS

cube.........................................V = s3

(s=lengthofanedge)

rightrectangularprism............V = lwh

OR

V = Bh(B=areaofabase)

sphere......................................V = 43 pr3

rightcircularcylinder.............V = pr2h

rightcircularcone...................V = 13 pr2h

rightsquarepyramid...............V = 13 s2h

LATERAL SURFACE AREA FORMULAS

rightrectangularprism..........LA = 2(hw) + 2(lh)

rightcircularcylinder...........LA = 2prh

rightcircularcone.................LA = pr(=slantheight)

rightsquarepyramid.............LA = 2s(=slantheight)

TOTAL SURFACE AREA FORMULAS

cube.......................................SA = 6s2

rightrectangularprism.........SA = 2(lw) + 2(hw) + 2(lh)

sphere....................................SA = 4pr2

rightcircularcylinder...........SA = 2pr2+ 2prh

rightcircularcone.................SA = pr2+pr(=slantheight)

rightsquarepyramid.............SA = s2+ 2s(=slantheight)

CIRCLE FORMULAS

C=2pr

A=pr2

SPECIAL RIGHT TRIANGLES

45˚

45˚

2xx

x

��

30˚

60˚ 2yy

3y ��

Massachusetts Comprehensive Assessment System Grade 10 Mathematics Reference Sheet

Grade 10 Mathematics Spring 2013 Released Items:

Reporting Categories, Standards, and Correct Answers*

Correct Answer 2000Item No. Page No. Reporting Category** Standard**

(MC/SA)* Standard***

1 262 Algebra and Functions 8.EE.1 C 10.P.4

2 262 Number and Quantity 8.NS.2 A 10.N.3

3 262 Number and Quantity 7.EE.3 A 10.N.2

4 262 Algebra and Functions A-REI.3 B 10.P.6

5 263 Statistics and Probability S-ID.6 C 10.D.2

6 264 Statistics and Probability 6.SP.5 D 10.D.1

7 264 Number and Quantity 7.EE.3 C 10.N.1

8 264 Number and Quantity 7.NS.3 B 10.N.2

9 264 Number and Quantity 8.NS.2 D 10.N.3

10 265 Statistics and Probability 6.SP.5 C 10.D.1

11 265 Statistics and Probability S-ID.6 C 10.D.2

12 266 Geometry 8.G.5 C 10.G.3

13 266 Number and Quantity 7.EE.3 B 10.N.4

14 266 Algebra and Functions A-REI.6 B 10.P.8

15 267 Geometry 7.G.6 8cm 10.M.1

16 267 Number and Quantity 7.EE.3 55 10.N.2

17 268 Statistics and Probability S-ID.2 10.D.1

18 269 Algebra and Functions A-REI.3 n=0 10.P.6

19 269 Number and Quantity 7.NS.3 36 10.N.2

20 270 Number and Quantity 7.EE.3 10.N.4

21 271 Algebra and Functions A-REI.3 10.P.6

22 272 Geometry 7.G.6 C 10.M.1

23 272 Algebra and Functions A-APR.1 B 10.P.3

24 272 Statistics and Probability 6.SP.5 A 10.D.1

25 273 Algebra and Functions A-REI.3 B 10.P.6

26 274 Geometry G-CO.5 D 10.G.9

27 274 Statistics and Probability S-ID.2 D 10.D.1

28 275 Geometry 7.G.6 A 10.M.2

29 275 Algebra and Functions A-CED.1 B 10.P.7

30 276 Statistics and Probability 6.SP.4 D 10.D.1

31 277 Algebra and Functions A-CED.2 10.P.7

32 278 Geometry 8.G.5 A 10.G.5

33 278 Algebra and Functions F-BF.2 D 10.P.1

34 279 Geometry 7.G.6 C 10.M.2

35 279 Algebra and Functions A-SSE.2 C 10.P.4

36 280 Geometry G-SRT.5 A 10.G.4

37 280 Algebra and Functions A-CED.2 A 10.P.7

38 280 Geometry 7.G.7 B 10.M.2

39 281 Statistics and Probability 6.SP.5 D 10.D.1

40 281 Geometry G-SRT.6 B 10.G.6

41 282 Geometry 7.G.4 10.M.1

42 283 Geometry G-CO.5 10.G.9

* Answersareprovidedhereformultiple-choiceandshort-answeritemsonly.Sampleresponsesandscoringguidelinesforopen-responseitems,whichareindicatedbytheshadedcells,willbepostedtotheDepartment’swebsitelaterthisyear.

** TheReportingCategoryandStandardcolumnsrefertothecurrent(2011)curriculumframeworkforMathematics.MoreinformationaboutreportingcategoriesforMathematicsisavailableontheDepartment’swebsiteathttp://www.doe.mass.edu/mcas/tdd/math.html?section=testdesign.

***TheDepartmentisprovidingthestandardfromtheprevious(2000)curriculumframeworkforMathematicsforreferencepurposes.

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