Applied. Grade 9 Assessment of Mathematics SAMPLE ASSESSMENT QUESTIONS

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1 Applie Gre 9 Assessmen of Mhemis 2011 SAMPLE ASSESSMENT QUESTIONS Reor your nswers o he muliple-hoie quesions on he Suen Answer Shee (2011, Applie). Plese noe: The form of his ookle is ifferen from h use for he ssessmen. The quesions hemselves remin he sme.

2 Direions Mke sure you hve he following merils: Suen Answer Shee he Formul Shee penil n n erser ruler sienifi or grphing lulor some pper for rough work for muliple-hoie quesions only The igrms in his ookle re no ll rwn o sle. Answering Muliple-Choie Quesions When nswering he muliple-hoie quesions, e sure you use he Suen Answer Shee. The irles you will e filling in re leere,,,. 1. Try o nswer ll of he muliple-hoie quesions. Do no leve quesion lnk. 2. Be sure o re eh quesion n is four nswer hoies refully. When you hoose n nswer, fill in he pproprie irle on he Suen Answer Shee. Do no spen oo muh ime on ny one quesion. Smple Quesion 1 Fin he re of he she region of he rengle elow. 3. Mrk only one nswer for eh quesion. Do no fill in more hn one irle for quesion. 4. To mke orreion, lenly erse he nswer you wish o hnge n fill in he irle for your new nswer. 5. Now o he following smple quesion. Fill in your hoie in he smple row. 1 squre uni 16 squre unis 24 squre unis 30 squre unis 36 squre unis Smple Row on Answer Shee 1. You shoul hve fille in.

3 Answering Open-Response Quesions 1. The open-response quesions re esigne o le you show wh you know n wh you n o. Try o give ler, well-orgnize soluions o illusre your omplee unersning n iliy o ommunie. Give s muh informion s you n. 2. Do ll of your work (even your rough work) in his ookle. 3. Wrie your soluions so h hey n e unersoo y someone who oes no know your work. 4. Mke sure you follow he ireions on he Key Wors pge. For exmple, quesion migh sk you o Show your work. Re he Key Wors pge. I sys o reor ll lulions n seps. So, if you skeh grph in he proess of geing o your nswer, show he skeh n lel i. Use proper n orre mhemil onvenions when you presen your work. 5. When using lulor, wrie own he numers you use n he operions you rry ou. For exmple, quesion migh sk you o Fin he re of irle wih imeer of 7 m. You nee o wrie A 5 π(3.5) 2 s well s he nswer you ge on your lulor. 6. There re mny ifferen wys o solve ny prolem. Use your ro rnge of mhemil knowlege o presen omplee n reive soluion o eh quesion.

4 Key Wors Throughou he ssessmen, key wors re use o ienify he ype of response require from you. The key wors re expline elow. Refer o his shee o mke sure you re responing fully o eh quesion. Compre: Tell wh is he sme n wh is ifferen. Desrie: Use wors o ree menl piure for he reer. Deermine: Use mhemis o fin soluion o he prolem. Lis: Use poin form. Explin: Use wors n symols o mke your soluion ler. Jusify: Give resons n eviene o show your nswer is orre. Show your work: Reor ll lulions n ll he seps you wen hrough o ge your nswer. You my use wors, numers, grphs, igrms, symols n/or hrs.

5 Gre 9 Assessmen of Mhemis, The imensions of rengle re in 3:5 rio. If he shorer sie lenghs re 30 m, wh re he lenghs of he longer sies? 10 m 15 m 18 m 50 m 2 The le elow shows informion ou rening movies from four ifferen sores. Whih sore offers he lowes os per movie? Nme of sore Gre Flix Ne Show Movie Time DVDs R US Tol os ($) Gre Flix 6 Numer of movies rene Ne Show 12 3 Movie Time DVDs R Us Muliple-Choie 3 The le elow shows he prie per se of wer ifferen sores. Evelyn is uying 120 oles of wer. A whih sore shoul Evelyn uy her wer o py he les? Sore Chepies Foosmr Vriey Foos Super Groers Chepies Foosmr Vriey Foos Super Groers 4 The os of n MP3 plyer is $299. A newer moel oss 20% more. Whih of he following is loses o he sle prie of he newer moel fer 30% isoun? $ $ $ $ Prie per se $1.75 $2.25 $4.59 $4.99 Numer of 500 ml oles per se Applie 1

6 Muliple-Choie Gre 9 Assessmen of Mhemis, Wh is he vlue of he expression? A nle me of wx is in he shpe of yliner. 6 m m 5 6 Whih vlue of x mkes he equion 1 x 10 rue? The equion h represens he relionship eween he isne,, h person n see in n open fiel, in kilomeres, n he personʼs heigh, h, in meres. One fernoon, Amy n see isne of 4.5 km. Whih of he following is loses o Amyʼs heigh? 1.1 m 1.6 m 2.1 m 2.5 m Whih is loses o he ol moun of wx o mke he nle? 226 m m m m 3 9 Whih expression is simplifie form of Hin: 8x 2 2 6x 8x 2 1 6x ]8x ]8x V 5 pr 2 h ]2x(]4x 1 3)? 2 Applie

7 Gre 9 Assessmen of Mhemis, 2011 Open-Response 0 Guzzling Gs Dvi n Shunese eh ke 450 km rip. Dvi rives r n uses 7 L of gs per 100 km. Shunese rives ruk n uses 12 L of gs per 100 km. If gs oss $0.90/L, how muh more will i os Shunese hn Dvi o rive 450 km? Show your work. Applie 3

8 Open-Response Gre 9 Assessmen of Mhemis, 2011 Juggling Juie Juie is sol in wo ifferen oniners, one n ue, s shown elow. 3 m 12 m 8 m Cone Volume πr2 h 3 Cue Volume l 3 Whih oniner hols more juie? Cirle one: Cone Cue Show your work. 4 Applie

9 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie s The grph elow represens he relionship eween he numer of lories n he volume for vrious rinks. N Numer of Clories vs. Volume Numer of lories 400 Q R P T V Volume (ml) Whih of he following poins represens rink wih more lories hn expee for is volume? P Q R T Applie 5

10 Muliple-Choie Gre 9 Assessmen of Mhemis, 2011 A plumer hrges n iniil fee of $50, plus n iionl $25 per hour. Tol Cos vs. Time C Whih grph represens his relionship? Tol os ($) Tol os ($) Tol Cos vs. Time C Time (h) Tol Cos vs. Time C Tol os ($) Tol os ($) Time (h) Tol Cos vs. Time C Time (h) Time (h) 6 Applie

11 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie f A snowsorm lss for seven hours. D is reore for he eph of snow for he firs five hours. g In whih of he following perns is here liner relionship eween he numer of she squres n he erm numer? Time (h) Deph of snow (m) Term 1 Term 2 Term 3 Term 4 Whih grph elow es moels he eph of snow uring he five hours? H Term 1 Term 2 Term 3 Term 4 Deph (m) 0 Time (h) Term 1 Term 2 Term 3 Term 4 H Deph (m) Term 1 Term 2 Term 3 Term 4 0 Time (h) H Deph (m) 0 Time (h) H Deph (m) 0 Time (h) Applie 7

12 Muliple-Choie Gre 9 Assessmen of Mhemis, 2011 h An online musi sore provies musi h memers n ownlo. The sore hrges memership fee n os per song. k The ol os for prining lssifie verisemen in lol newspper is me up of $30 fee, plus $0.10 per wor. The hr elow represens he relionship eween he ol os n he numer of songs ownloe. Numer of songs Tol os ($) Whih equion elow moels he relionship where C is he ol os o ple he verisemen n w is he numer of wors? C w C w C w C w Whih of he following is no rue ou his relionship? I is non-liner. I hs n iniil os. I hs onsn re of hnge. I n e represene y srigh line. j A her finess lu, Jonne is hrge $15 per monh. The ol os for 12 monhs is $270. Is he relionship eween he ol os n he numer of monhs ire or pril vriion, n wh is he iniil fee? ire vriion, $0 ire vriion, $180 pril vriion, $15 pril vriion, $90 l s0 Plo hs ellphone. The relionship eween his ol monhly os, C, in ollrs, n he numer of minues he uses he phone,, is represene y he equion C Whih of he following is no rue ou his relionship? The os per minue is $0.25. The vlue of he re of hnge is The ol monhly os for 1 minue is $20. The grph of he relionship hs C-inerep of 20. The equion C 5 15n represens he relionship eween he ol os of gym memership, C, in ollrs, n he numer of monhs of memership, n. Whih semen ou his gym memership is rue? I hs n iniil os of $15. I oss $115 per monh. I hs n iniil os of $15 n fee of $100 per monh. I hs n iniil os of $100 n fee of $15 per monh. 8 Applie

13 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie s The following esries Ih s rive from Winsor o Torono: One hour fer leving Winsor, he sops for 15 minues o hve snk. Disne from Torono vs. Time D He hen rives for wo more hours n hen sops o visi frien for one hour. He hen omplees his rive o Torono fser re hn ny oher segmen of his rip. Disne from Torono (km) Whih grph es esries his rip? Disne from Torono vs. Time Time (h) D Disne from Torono vs. Time Disne from Torono (km) Time (h) Disne from Torono (km) D Disne from Torono vs. Time Time (h) D ss Dn nees o ge his r fixe. Disne from Torono (km) Time (h) Fs Freie hrges $440 for merils, plus $50 per hour for lour. Rpi Ron hrges $360 for merils, plus $60 per hour for lour. Whih repir shop hrges less for 5-hour jo, n how muh less? Rpi Ron hrges $80 less. Fs Freie hrges $30 less. Rpi Ron hrges $30 less. Fs Freie hrges $10 less. Applie 9

14 Muliple-Choie Gre 9 Assessmen of Mhemis, 2011 s The urren pln for ownloing musi is me up of fl fee of $20 n fee of $0.50 per ownlo. A new pln is me up of fl fee of $10 n fee of $0.50 per ownlo. Whih grph represens oh plns? sf Two helh lus, Super Fi n Boy Plus, offer monhly memerships. The ol monhly os for eh lu is represene y he grphs elow. C Tol Monhly Cos vs. Numer of Visis Cos ($) Cos ($) Cos ($) C Curren pln New pln n Numer of ownlos C Curren pln New pln n Numer of ownlos C n Numer of ownlos Curren pln New pln Tol monhly os ($) Whih of he following is rue? Super Fi Boy Plus Numer of visis Boy Plus is lwys heper. Super Fi is lwys more expensive. Super Fi is heper if he numer of visis is fewer hn 7. Boy Plus is more expensive if he numer of visis is greer hn 9. n Cos ($) C 50 Curren pln New pln n Numer of ownlos 10 Applie

15 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie sg Corrin wns o ren snowmoile for y n onsiers wo renl ompnies. The relionship eween he ol os of rening from Trils-R-Us n he numer of kilomeres rvelle is represene y he grph elow. C Tol Cos vs. Numer of Kilomeres Trvelle 120 Trils-R-Us 100 Tol os ($) Numer of kilomeres rvelle n Off-Ros hrges fl re of $90 for y wih unlimie kilomeres. A how mny kilomeres is he ol os he sme oh renl ompnies? 70 km 80 km 90 km 100 km Applie 11

16 Open-Response Gre 9 Assessmen of Mhemis, 2011 sh Sk I Jun rws he firs hree erms of pern s shown elow. Term 1 Term 2 Term 3 The pern oninues o grow in he sme wy. Complee he following le oring o he pern. N Numer of Dos vs. Term Numer Term numer, n 1 2 Numer of os, N Numer of os n Term numer Grph he from he le on he gri ove. A sle for he N-xis. Drw line or urve of es fi for he. 12 Applie

17 Gre 9 Assessmen of Mhemis, 2011 Open-Response sj Blloon Rie The relionship eween he heigh of ho-ir lloon, H, in meres, n ime,, in minues, is represene elow. H Heigh of Blloon vs. Time Heigh of lloon (m) Time (min) Deermine n equion o represen he relionship eween he heigh of he lloon n ime. H = Show your work. Applie 13

18 Open-Response Gre 9 Assessmen of Mhemis, 2011 sk Wlk This Wy Muro kes wlk. The grph elow shows he relionship eween Muro s isne from home n his wlking ime. Disne from Home vs. Time Disne from home (m) D Time (min) In he le elow, ompre Muro s isne from home, his spee n he ireion in whih he is rvelling in he vrious segmens of his wlk. Segmen of grph Comprison o oher segmens 14 Applie

19 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie sl Whih imensions proue he smlles perimeer for rengulr re of 120 m 2? 2 m 3 60 m Use he Pyhgoren heorem o fin he lengh of he igonl in he rengle elow. 3 m 3 40 m 4 m 3 30 m 6 m 3 20 m Digonl 80 m 0 Two squre grens re shown elow. A welome nner exens from orner of Gren A o orner of Gren B. Gren A re 42 m 2 Bnner Gren B re 36 m 2 Whih is loses o he lengh of he igonl? 135 m 97 m 66 m 58 m 55 m Whih is loses o he lengh of he nner? 6 m 9 m 12 m 78 m Applie 15

20 Muliple-Choie Gre 9 Assessmen of Mhemis, 2011 s Hnn works pining seln on rivewys. She hrges $7.50/m 2. Consier he squre elow. 5 m 5 m 9 m 2.5 m 6 m Wh is he re of he she pr of he squre? 36 m 2 How muh will she hrge o pin he rivewy shown ove? $ $ m 2 18 m 2 9 m 2 $ $ f Consier he igrm elow x Wh is he vlue of x? Applie

21 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie g Consier he igrm elow. x w y z Whih equion is rue? x = z w = y y 1 z = 1808 w 1 z = 1808 Applie 17

22 Open-Response Gre 9 Assessmen of Mhemis, 2011 h Win in My Sils A sil for silo is represene elow. 8 m 4 m 4 m 6 m The unshe pr of he sil is me wih meril h oss $32/m 2. The she pr of he sil is me wih meril h oss $125/m 2. Deermine he ol os of he sil. Show your work. 18 Applie

23 Gre 9 Assessmen of Mhemis, 2011 Muliple-Choie j Designing Consier he esign elow. x y Complee he le elow wih he vlues of x n y. Jusify your nswers using geomeri properies. Vlue Jusifiion using geomeri properies x y Applie 19

24 2 Crlon Sree, Suie 1200, Torono ON M5B 2M9 Telephone: We sie: Queen s Priner for Onrio