Applied. Grade 9 Assessment of Mathematics. Released assessment Questions

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1 Applie Gre 9 Assessment of Mthemtics 21 Relese ssessment Questions Recor your nswers to the multiple-choice questions on the Stuent Answer Sheet (21, Applie). Plese note: The formt of this booklet is ifferent from tht use for the ssessment. The questions themselves remin the sme.

2 Directions Mke sure you hve the following mterils: Stuent Answer Sheet the Formul Sheet pencil n n erser ruler scientific or grphing clcultor some pper for rough work for multiple-choice questions only The igrms in this booklet re not ll rwn to scle. Answering Multiple-Choice Questions When nswering the multiple-choice questions, be sure you use the Stuent Answer Sheet. The circles you will be filling in re lettere, b, c,. 1. Try to nswer ll of the multiple-choice questions. Be sure to re ech question n its four nswer choices crefully. Do not spen too much time on ny one question. 2. To inicte your nswer, use pencil to fill in the circle completely on the Stuent Answer Sheet. Like this: Not like this:. If you fill in more thn one nswer to question, the question will be score zero. 4. If you leve question blnk, the question will be score zero. 5. Clenly erse ny nswer you wish to chnge n fill in the circle for your new nswer. Answering Open-Response Questions 1. Do ll of your work for ech question (even your rough work) in the spce provie for the question. Work on itionl pges will not be score. 2. Present complete n well-orgnize solution to ech question. Give s much informtion s you cn.. Write your solutions so tht they cn be unerstoo by someone who oes not know your work. 4. Mke sure you follow the irections on the Key Wors pge. For exmple, question might sk you to Show your work. Re the Key Wors pge. It sys to recor ll clcultions n steps. So, if you sketch grph in the process of getting to your nswer, show the sketch n lbel it. 5. When using clcultor, write own the numbers you use n the opertions you crry out. For exmple, question might sk you to Fin the re of circle with rius of 7 cm. You nee to write A = π(7) 2 s well s the nswer you get on your clcultor.

3 Key Wors Throughout the ssessment, key wors re use to ientify the type of response require from you. The key wors re expline below. Refer to this sheet to mke sure you re responing fully to ech question. Compre: Tell wht is the sme n wht is ifferent. Describe: Use wors to crete mentl picture for the reer. Determine: Use mthemtics to fin solution to the problem. List: Use point form. Explin: Use wors n symbols to mke your solution cler. Justify: Give resons n evience to show your nswer is correct. Show your work: Recor ll clcultions n ll the steps you went through to get your nswer. You my use wors, numbers, grphs, igrms, symbols n/or chrts.

4 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 1 The esign for rectngulr gren hs length-to-with rtio of 7:5. Which of the following coul be use to etermine the with of the gren if the length is 6.5 m? b c 5 7 = 6.5 x 7 5 = x = 5 x 6.5 x = Wht is the vlue of k in the proportion below? 12 b 15 c k = 24 2 Lst week, Tenish pi $65.72 for 62 kg of pottoes for her resturnt. Toy, the price of pottoes is $.2/kg lower. How much will Tenish py for 5 kg of pottoes toy? $46 b $47 c $52 $5 4 A bicycle hs regulr price of $175. It is on M sle for 2% off. A Which of the following is closest to the totl T cost, incluing 1% tx? R I $14 X b $158 c $16 $168 5 The volume of the cyliner shown below is 48 cm. Which of the following is closest to the rius of the cyliner? 4 cm b 8 cm c 14 cm 16 cm 6 Wht vlue of x mkes the eqution 4x 2 5 = 26x 1 15 true? 2 b 1 c r 8 cm Hint: V = πr 2 h 2 Applie

5 Gre 9 Assessment of Mthemtics, 21 Multiple-Choice 7 An eqution representing the height of burning cnle is H = t, where H is the height, in centimetres, is the imeter, in centimetres, n t is the mount of time tht the cnle hs been burning, in minutes. A cnle hs imeter of 6 cm. If the cnle burns for 2 minutes, wht will its height be? b c 1 cm 4 cm 11 cm 1 cm Applie

6 Open-Response Gre 9 Assessment of Mthemtics, 21 8 more Apples Two stores re vertising specils on pples. Store A 8 pples for $4.4 Store B 12 pples for $5.76 Apples re sol iniviully. How much less woul pples cost t Store B thn t Store A? Justify your nswer. 4 Applie

7 Gre 9 Assessment of Mthemtics, 21 Open-Response 9 the Height of Solving The cyliner picture below hs volume of 87 cm. 5.2 cm h The formul for etermining the volume of cyliner is V = πr 2 h, where r is the rius n h is the height. Determine the height of the cyliner. Show your work. Applie 5

8 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 Which sctter plot shows t with no tren? Q r b Q r c Q r Q r 6 Applie

9 Gre 9 Assessment of Mthemtics, 21 Multiple-Choice Kim owes her mother $1. She will py her bck $5 ech week. Which tble shows t bout the mount Kim still owes for the first 5 weeks of pyments? Week Amount still owing c Week 1 2 Amount still owing $1 $8 $6 $4 $ 4 $2 1 $5 5 $ 2 $1 4 5 $15 $2 $25 Week 1 Amount still owing $1 $95 b Week Amount still owing 2 $9 $85 $1 4 $8 1 $15 5 $75 2 $11 $115 4 $12 5 $125 Applie 7

10 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 s Consier the four ifferent reltionships represente below A n How mny re liner reltionships? 1 b 2 c 4 T w A n C Applie

11 Gre 9 Assessment of Mthemtics, 21 Multiple-Choice Which of the reltionships represente below hs constnt rte of chnge? C c C n n C b C n n Applie 9

12 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 f Ech of the three points on the gri below M gives informtion bout the ltitue of A hot ir blloon t certin time. T Altitue vs. Time R A I 1 X Altitue (m) Time (min) If the reltionship between ltitue n time is liner, wht ws the ltitue of the blloon t 4 minutes? b c 125 m 15 m 175 m 2 m 12 t g Dkot n Jmie hve prt-time jobs. The grphs below represent the reltionship between ernings n the time ech of them works. Dkot s Ernings vs. Time E Dkot s ernings ($) Jmie s ernings ($) Jmie s Ernings vs. Time E Time (h) t t Time (h) Whose grph represents prtil vrition, n wht is the initil vlue of the reltionship? Dkot s, $ b Dkot s, $15 c Jmie s, $ Jmie s, $4 1 Applie

13 Gre 9 Assessment of Mthemtics, 21 h For bbysitting, Becky chrges ccoring to the eqution C = 5n + 9, where C is the mount chrge, in ollrs, n n is the number of hours she bbysits. M A T R I X Which sttement bout this sitution is correct? Becky chrges $14 per hour. b Becky chrges flt fee of $14. c Becky chrges n initil fee of $5, plus $9 per hour. Becky chrges n initil fee of $9, plus $5 per hour. j Ech week, Mriss withrws the sme mount from her bnk ccount. The eqution A = w represents the reltionship between the mount of money remining in her ccount, A, in ollrs, n the number of weeks of withrwing, w. For how mny weeks hs Mriss me withrwls when the mount remining in the ccount is $11? 14 b 16 c Multiple-Choice k Oscr ries his bicycle to the bech long stright ro. While t the bech, he relizes he hs forgotten his sunscreen n returns home. The grph below shows informtion bout his trip. Distnce from home (km) 2 1 D Distnce from Home vs. Time Time (min) 5 4 Which of the following is true bout Oscr s trip? b c The bech is 1 km from Oscr s home. His spee riing to the bech is.25 km/min. His spee riing home from the bech is 1.7 km/min. He stys t the bech for 25 minutes before he returns home to get sunscreen. l Wter is being pumpe to empty swimming pool. At 6.m., the wter level is 15 cm. Every 2 hours, the wter level rops by cm. Wht is the erliest time when the pool will be empty? b c 1.m. 11.m. 4 p.m. 5 p.m. t Applie 11

14 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 s Dt bout the totl monthly cost to rent vieo gmes from two online gme sites re shown on the grph below. 5 Totl Monthly Cost vs. Number of Gmes Rente C Totl monthly cost ($) Mighty Gmers Sir Gme-A-Lot n Number of gmes rente Which of the following sttements is true? b It costs more to rent from Sir Gme-A- Lot fter 6 gmes. It costs less to rent from Mighty Gmers fter gmes. c It costs the sme mount to rent 6 gmes from the two sites. It costs the sme mount to rent gmes from the two sites. 12 Applie

15 Gre 9 Assessment of Mthemtics, 21 Open-Response s rippy Drops Wter is leking from bottle t constnt rte. Juli rws the line on the grph below to moel the reltionship between the volume of wter remining n time. Volume of wter remining (ml) V A Volume of Wter Remining vs. Time B C t Time (min) Determine whether ech of the points shown on the line is possible in this sitution. Write n interprettion of the mening of ech point. Point Is this point possible? Interprettion A Circle one: Yes No B Circle one: Yes No C Circle one: Yes No Applie 1

16 Open-Response Gre 9 Assessment of Mthemtics, 21 ss fun Fir The grph below shows the liner reltionship between the totl cost of y t fir, C, n the number of ries tken, n. C Totl Cost vs. Number of Ries Tken 1 Totl cost ($) Number of ries tken n Complete the tble below with informtion bout this reltionship. Initil vlue: Mening of initil vlue in this sitution Rte of chnge: Mening of rte of chnge in this sitution 14 Applie

17 Gre 9 Assessment of Mthemtics, 21 Open-Response s hppy Trils The totl cost of horsebck riing t horse rnch is me up of fixe fee n cost per hour. The tble below shows informtion bout the totl cost. Time (h) Totl cost ($) Grph the t in the tble on the gri below. C Totl Cost vs. Time Totl cost ($) t Time (h) Write n eqution tht reltes the totl cost of rie, C, to the time spent riing, t. C = Show your work. Applie 15

18 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 sf Some stuents use 24 lrge squre tiles to crete nce floor. They rrnge the tiles to mke rectngulr re with the smllest possible perimeter. Which rrngement cretes n re with the smllest possible perimeter? b c 1 row of 24 tiles 2 rows of 12 tiles rows of 8 tiles 4 rows of 6 tiles sh The figure below is me of squre-bse prism n cone. 1 cm 18 cm sg A wire is ttche from the top of 1 m pole to spot on the groun 4 m wy from the bse of the pole, s shown below. 14 cm 1 m 4 m Wire Which of the following is closest to the length of the wire? b c 11 m 14 m 2 m 28 m Which of the following is closest to the volume of the figure? 675 cm b 441 cm c 567 cm 5581 cm 16 Applie

19 Gre 9 Assessment of Mthemtics, 21 sj The sphere picture below hs imeter of 1 cm. Multiple-Choice sl Wht is the vlue of x in the igrm below? 62 1 cm x 48 b 628 c Which expression represents the volume of the sphere? 4π(5)() b 4π(5) c 4π(1) 4π(1)() sk Wht is the vlue of x in the igrm below? x 918 b 898 c Applie 17

20 Open-Response Gre 9 Assessment of Mthemtics, 21 hole in the Wll Terry is pinting the she re of the rectngulr wll shown below. 2 m 8 m m The verge cost of pint is $.4/m 2. Determine the totl cost of the pint neee to cover the she re of the wll. Show your work. 18 Applie

21 Gre 9 Assessment of Mthemtics, 21 Open-Response outsie Angles Look t the following igrm. 44 x y Complete the chrt below with the vlues of x n y. Justify your nswers using geometric properties. Vlue Justifiction using geometric properties x y Applie 19

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