Grade 9 Assessmentof Mathematics2013

RLASED ASSESSM2NT QUESTIONS

Record your answers to the muttipIechoice questionson the Student Answer Sheet (2013, Academic)

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Directions

Make sure you have the following materials:

• Student Answer Sheet

• the Formula Sheet

• a pencil and an eraser

• aruler

• a scientific or graphing calculator

• some paper for rough work for multiple-choice questions only

The diagrams in this booklet are not all drawn to scale.

Answering Multiple-Choice Questions

When answering the multiple-choice questions, be sure you use the Student Answer Sheet. The circles youwill be filling in are tenured a, b, c, d.

1. Tnj to answer all of the multiple-choice questions. Be sure to read each question and its four answerchoices carefully. Do not spend too much time on any one question.

2. To indicatc your answer. use a pencil tn fill In the circle complettly cn the Student Answer Shea.Like this: • Not like this: ce” i

3. 11 you fill in more than one answer to a question, the question will be scored zero.

4. Ifyou leave a question blank, the question will be scored zero.

5. Cleanly erase any answer you wish to change and fill in the circle for your nnv answer.

Answering Open-Response Questions

1. Do all ofyour work for each question (even your rough work) in the space provided for the question.Work on additional pages will not be scored.

2. Present a complete and wcll-organized solution to each question. Give as much infonnation as

you can.

3. Write your solutions so that they can be understood by someone who does not know your work.

4. Make suru you follow the directions on the Key Wbrds page.For example. a question might ask you to Show your work.” Read the Key Wonk page.

It says to record all calculations and steps. So, if you sketch a graph in the process of getting

to your answer, show the sketch and label it.

5. When usi’ig aea1cz!!ator. write dnwn ISe ;uunber.. v’ti t. and the n erations ycu cwz: out.For ‘:anipl?. a ifliCStIOfl might ask y’’u to ‘Ft;d the area of;. cireL with a radius L’I: Cfli.

You need to write :1 = ( 7) us i elI as the an%wcr yuat on your calculator.

Key Words

lhronahout the assessment, key words are used to idaitai the type of tesponse requiri.d from ,c u ‘(heke %ords are ccplaincd below Refer to this sheet to make sun you are i.spondinj filly t , t.ah queston.

Compare:kit hat ic the same and hat k dill’:rnt.

Describe:(‘se surd’ , treate a mental pu.twe for thc. reader.

Determine:C%j mathcinatic to tiid i solution to the problem.

list:I se point fonn.

riplain:I twrds and syml CIa iG rwtkt 1°ur lu”cn tLac

Justify:(live rcason, and evidence to chow your answ:r is correct.

Show your woricRecord all calculations and all the steps ou went through ft get your tnswer. You may use ,ords,numbers, graphs, diagrams. svntbol’ ancflw charts.

Multiple-Choice Grade 9 Assessment of t9atI-eirata ‘O I

11 What is the value of5x’i2when — 2 and U Which of the following is a aimplified liwm• 4? of the r_pression 4(5x — S 3i2. 1.’

a 240 SiP’- ‘ a 14s-l1b 320 bi4v 53 )C 4X() • C nx —11

:d MO d 2r-5l

S Wb at exponent goes in the box to take I 1 he siuare and the trianflle below liii e thethe following equatioa true’ .ame u.a.

—r

a ) 18CmA-i’ A hit

b2)2

c4d 3 i 12cm

I What i (lie ‘alue of nY5 Mario k making fruit pnnch by m’xing a Iorange juice and pineapple juice in a ratio —

ofl:3. Th 2how much pineapple juice should h ube to C 8make3Loftruitpirnch?

d — r

a ()•75f

b2L - —,

— 4 a . p

rr. -4

1

a

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Grade 9 Assessment ef Mathemarcs. 2013 OpenResponse

a Hea’thy FishJames adds vitamin drops to his fish tank k) keep his fish healthy.

If James follows the instructions on the bottle of vitamins, how many capfuls should he add to his35Oiitre fish tank?

Show your work.

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2 drops per 5 tres ‘5.n aer

—

I capfui •:o croccs‘—-,--

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2

k/SXI

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Multiole-Cholce £ 4 ‘2ada a As.nrier’ of ‘iMi.’mabts, 2311—

9 4 rain barrel full ofw iter is diainnd at a ‘S i.u4aawe.cacatptrnn4iant Itconstant rate. Data tot the fist few minutes of I UiUgs iflat tt of$2Ojtr month uiddraning is shown on the und below. SI) tar cab tint mssaa sent.

.un’e !..cft .r the V.1”. ft .tqaari:i best repreeaii the casta•n Bane’ iS 11.9 ‘ft ‘a: .t\ cdlph”ne plan. : n daB in.V

.ieae sit the number oftu rn:s% jeiit’

a ( 2n -. a ‘

b C

k c b(iO,’n5 Vad C’ 025,,i-2Oa• \

50 r:)CfC Ia a lnia.ar aetatii’nship hetvceti Lii:C. 4S . I tMal co4 of renting a co%nim: and di:

‘3 I admiher .1 liouts the ci.st’i ne i •nt I

• rot:’ N un. t’a tot’l n t a’. S ‘0.• Far bonn. t’e total %L’st t %$i)

hat tipe ufariation is thi’c relaii.’nhip.and wh4t 1% lb initial ialue

r ma (m fiAts) j a t partial variation with an anti ii ‘duena’ 510AfKr 6 mrnutes. the di aaning ‘a stopped.b a partial variation with ian initial valueHow much water is needed i retiU the miii

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I C with ui initial altaea 901 Iu ;ci I

d ab,”ti nta’n with in intt ii ili:C L b

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Grade 9 Assessment of Mathernatcs, 2013 MuWpIe-Choice

For which cattcr plot conid the line 5 he C

het tit

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d

4

b*

4444 4

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M uitipc-Choice Grade 9 ss-ssrnt at Maaa-ratca 29)3

jj \Icxs dtstancc from Tome t- rcpre.entedby the equation D O.5t — OO. I:ere!) enresents his distance from hom.. ii:Lii lnctrc. and t replesLilts time, in !nnatc

I Io h)ne ‘\ II it taLc \L\a reach ari1-,taicC 01 I0 an trom a inc

a 26 minutes

b 20Q minutes

C ( minutes

d 59 minutes

eh the

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b if

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Cost vs Number

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Lre2

300L4200 -k

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100

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N u r b er

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IF Planting More Trees

Rashel plants trees in Narthtm Ontuto. She 1% piid S5 a day ph4 I t fbi each trce he plains

(Jn iii: grid prtnided. draw di: craph Øfthe rntutnnahip be’ a”.’ Rachel’ total ian ‘.b 11w a. ir’tte‘k. E i dollat.. .ini the number. iice;s she plait. Cut ia>. :Include a scale on the ati ii

Tote Earnings is N..mber of Trees P inted

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a’

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Number of trees plarted

Vrw. in eq abon n r p:e i.nt tie ie’adai. hip Lit.meen aaher bun’ & tar t wi.. ‘ci’>. F and ii:i trnk Cn lice h: planr n

a?‘

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OpenResponse Grade 9 Assessment of M th’rnatcs, 20

Water in a Pool

Fh raph below reprcms he rdaion’hip htwen h. amount of ‘ ater. 1. in a as t drnnand time. L

Amount of Water s TareA

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0 20 70

Tme (mm)

I)eter:nine the initial amount of water in the pool and the rate of change of this i elation.

Show your work.

Grade 9 4ssempnt of Vathematcs, 293 Multipi&Choice

I Which of the foi1owinz equations isequii alent to 3 t Si 45?

I 2a

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b

c

d -3i45

jj [‘he 1’tum ün Uic and haio’. ne!t11LL 31

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‘A hieh of the fhlloii itia points iRo b don s

a thN lLldta i

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MuItipe—Choice Grade 9 A sess1ent of Mathematics, 2913

\hich of thc fol1oin! ns has flic i Cane store tii line repreeIted 1’,

a

1

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(r 9 A of Matbr”otcs. 3MultipIeChoce

LE \Vhih of the foiloing is the graph of the Cequflion v 2a 4

a : f/1

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Multiple-Choice crn a Aasesrirnt i Ma’nemitin, ull

& The equations below tcpri.%ent dieret naonship between the total cost. C. indollars. to repair a c.omput:r and the.nnunt of time. t. in bout . at two..t mputer repair %Lores

‘.np-l n: C 10— ti

Uita Repa r: C. —

It ‘tll tak between I and 5 hn’ir to t:panMaria’c cnmputer.

WI it a e the smallest and laj. t on s tileImVL.;iti lada ould p ty!

ab

tony and Mike decide to ke.p track oftheir reading. The rap’i lelow representsitt’ relttonship he c.en the number ofpages ofa ntnel each has read and the timepent teading siace dies ncd tricking

1umber ct Pages Read vsA’vcje C1 Tire puct Rao nq

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ftmnu.9 of t•.n bpe.it ead’ j

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C 525,5X5

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(1400

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Which of the following statenents is hue?

a At i hotj. Mike has read loll ag:smore than Tony.

b Rctin eS hours. ro;iy baa read fewerpaoes than li1c

C . 0 minutes. Mike has read thee wub..’: ifl par. .v. Fon:

d I: t a’ 2’0 1’I’utt.s fnr I in Utip to il” numh..r .)f cc:. rn:’ !ELeI. t

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CIade 9 Asessrient of Mathematics. 2013OpenResponse

Growing Rates

ucia and Paul each ha e a plant Hoth p1 ut1t ara a a cn stnt i ate.

In na ecoals nkwniap u a ou e hht ut LU pian .1 nihe. and L’dU! araph in u:U

ii elo

nca s Part ‘2u sHa t ‘i3 Day

Day Heaht ha

Day

Whose plant is groirig Dater?

PaLL1 —

J i iif, your ar. Ver,

Open-Response Or de 9 ssessrø t o Mathernatcs, 2013

Lovely Lines

I ii 1 N [1 on the grid heio

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6 4 2 C

(hapa Line 2 on the same grid sothe slope of Lme 1.

that it paes iii ough — I S) and has a dopc hat ce tes

4

10Lrne I

Justift ‘nur ins’er.

Cde 9 ssnt of M ehem.tcs. 2Ji a Muftiple—Choice

ircus is building a t ta,ulai dog pen The diagram below Is made ut r trapezoid

ilong the side of his houe ac hou n below, and a semicircle.

Lea tn -14 cm i—-

ca’ —

IH ause

Marcus has 20 m of fencm for the ades V h:Jt i.’ ci,e in the ir ca i’l

of the do pen. part of th dicer tm

N the leneth ci the do aea ‘. ah the C a 2 cm-

Iru -xunuin atea. r I b locmj

a 4m a C 2lmrr -

b na

F 1?.4- c -

d 2m - ‘,E I c e uaeer at 1 i-ic cuce ho’a euii c. sane hcinht an rado

• \a open-u p1ied caper di inine cup t 1

shape of a cone i picntred below. —

Scm\

Ve ume o cy odor 2 V cii af cone

\Vhat nmrhc; u picc :ats e tamn

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Multiple-Choice tncie i ci’ Mati’.’metcs. 20’3

(onc;dcr the diagram &In

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-Ito?

hit is the abe oCx in the diagram’

a 1(7

b i3’

c

d

Consider the regular uuagon beks.

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Gride 9 Ass”semnt of Mtmalcs 2013OpOflReSpoflSe

El Cutting Cones

(‘he figure pictured below i, a core ‘Aith its top portion remocd.

A

‘1. ‘‘C

7’ “ 1cm*

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12 rsrt

9cm

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e cmbctmi,n” the ‘.nliirne t.t z 2% hr:r2.

Show your work.

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Open-Response Gi’de 9 Asseam.rnt of M*then’alics. .011

€11 Diamond Cut

The diagram below shows .i regular ikcagun aid thrx i’04cdes thangla.

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Dttnmne the aJues nix andy. Ja$Wy your anscm using geometric properties.

W ue Justification using oometrc properties--

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