Academic. Grade 9 Assessment of Mathematics SAMPLE ASSESSMENT QUESTIONS

Transcription

1 Aemi Gre 9 Assessment of Mthemtis 1 SAMPLE ASSESSMENT QUESTIONS Reor your nswers to the multiple-hoie questions on the Stuent Answer Sheet (1, Aemi). Plese note: The formt of this ooklet is ifferent from tht use for the ssessment. The items themselves remin the sme.

2 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 1 Wht is the vlue of 6x when x 5 1? 9 Consier the expression elow. x (5x x 1 1) Whih of the following is equivlent to this expression? 8x x 1 1 8x 1 x 1 15x x x 6x 1 x Chris hs squre gren with n re of 8. m, s shown in the igrm. 5 The yliner elow hs volume of 15 m. 8 m He ereses the length of eh sie y 1.7 m to mke smller gren. Whih is losest to the perimeter of the smller gren? 7 m m 5 m 18 m The sum of the perimeters of two shpes is represente y 1x 1 y. The perimeter of one shpe is represente y x y. Whih expression represents the perimeter of the other shpe? 9x 1 y 9x 1 6y 17x 1 y 17x 1 6y Whih of the following is losest to the re of the lterl surfe of the yliner? Hint: V yliner 5 πr h A lterl surfe 5 πrh 8 m 75 m 15 m m

3 Gre 9 Assessment of Mthemtis, 1 Open-Response 6 Prt-Time Jo Ezre works prt-time t lothing store. He erns $8 per week plus 6% of the vlue of his weekly sles. This week Ezre erns $119. Wht is the totl vlue of his sles this week? Show your work. The totl vlue of his sles is.

4 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 7 Consier the following hrt n grph. Temperture in egrees Celsius, C 5º 15º 5º Temperture in egrees Fhrenheit, F 1º 59º 77º F 9 A sports ompny uses the eqution C 5 8t 1 5 to represent the reltionship etween the totl mount hrge to rent noe, C, in ollrs n the rentl time, t, in hours. Wht is the initil hrge to rent noe? $ $5 $8 $1 1 1 C Dt on istne trvelle n the numer of hours spent trvelling re shown on the grph elow. 6 The line D 5 1n 1 is lso shown on the grph. 8 Distne Trvelle vs. Time Wht temperture in egrees Celsius is equivlent to ] 8F? D D = 1n + ] 8C ]18 8C ]9 8C ] 8C Distne trvelle (km) 8 A us is rente for lss fiel trip. The trnsporttion ost for the trip is me up of $5 to rent the us, $5 for gs n $ for eh us set. Whih reltion elow esries the totl trnsporttion ost for the trip if C is the totl ost in ollrs n n is the numer of sets? C 5 ]n 1 5 C 5 ]n 1 75 Whih eqution est represents the line of est fit for the t shown? D 5 5n 1 D 5 8n 1 D 5 1n 1 18 D 5 1n 1 5 Numer of hours n C 5 n 1 5 C 5 n 1 75

5 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie Tyler wlks long line leing from motion sensor. The grph elow shows informtion out Tyler s wlk. Distne from motion sensor (m) Distne from Motion Sensor vs. Time D Time (s) Whih of the following is losest to Tyler s spee in metres per seon s he wlks towr the motion sensor? t P P n n s Whih grph represents the eqution P 5 ] 1 n 1 5? P P n n 5

6 Open-Response Gre 9 Assessment of Mthemtis, 1 Wht s the Chrge? The tle elow represents the liner reltionship etween ost n repir time t n ppline store. Repir time, t (h) 6 8 Cost, C ($) Determine the initil vlue of this reltionship. Show your work. Initil vlue: Is this reltionship iret or prtil vrition? Cirle one: Diret vrition Prtil vrition Justify your nswer. 6

7 Gre 9 Assessment of Mthemtis, 1 Open-Response f Hot New Wheels Cyelle n Peter eh uy r. The grph elow represents the vlue of Cyelle s r over time. Vlue of Cr vs. Time V Vlue of r ($) Time (yers) t Peter s r osts less thn Cyelle s. The vlue of oth rs hnges t the sme rte. Determine possile eqution to represent the reltionship etween the vlue of Peter s r, V, in ollrs, n time, t, in yers. V 5 Justify your eqution. 7

8 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 g Whih of the following represents n eqution of line? y 5 x y 5 x 5 x 1 y 5 5 x 1 y 5 5 h Wht re the slope, m, n y-interept,, of the line represente y x y + 16 =? m =, = 8 j The grph elow represents the reltionship etween istne n time on Jvier s wlk. Distne (m) D p Distne vs. Time q m =, = ]16 m = ], = ]8 m = ], = 16 How muh greter is Jvier s spee in setion p thn in setion q? Time (s).5 m/s 1.5 m/s. m/s. m/s t k The totl ost of hiring Beth s Pluming Servies is represente y the eqution C 5 5t 1 7, where C is the totl ost in ollrs n t is the time in hours. Next month, the rte will hnge to $6 per hour, ut the initil hrge will sty the sme. Whih of the following esries how the grph of the reltion will hnge? The steepness of the line will inrese. The steepness of the line will erese. The vertil interept will inrese y 1 units. The vertil interept will erese y 1 units. 8

9 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie l Consier the following grph. Whih sttement is flse? The slope of AB is ]. The slope of CD is 1. y 5 A 1 B D 1 5 C The y-interept of the line through CD is ]. The y-interept of the line through AB is ]1. x s Lst weeken, Jeremy trvelle from his home to frien s house. The grph elow represents the reltion etween D, the istne from Jeremy s home, n t, the time spent trvelling to his frien s house. Distne from Jeremy s home D Distne from Jeremy s Home vs. Time Spent Trvelling Time spent trvelling This weeken, Jeremy trvels to his frien s house ut leves from shool. Jeremy s shool is etween his house n his frien s house. t s Jnelle rws line tht psses through the points (]1, 6) n (, ). If Jnelle writes the eqution of the line in y 5 mx 1 form, wht re the vlues of m n? If he trvels t fster rte this weeken, how will the line representing this trip ompre to the line representing the previous trip? This new line will m 5 ]9 5 m 5 ] 5 6 m 5 ]9 5 6 m 5 ] 5 strt t higher point n e steeper. strt t higher point n e less steep. strt t the urrent point n e steeper. strt t the urrent point n e less steep. 9

10 Open-Response Gre 9 Assessment of Mthemtis, 1 ss The New Line A line hs the sme slope s the line represente y x y n the sme y-interept s the line represente y x 1 y Determine n eqution of this line. Show your work. 1

11 Gre 9 Assessment of Mthemtis, 1 Open-Response s Event-full At Lowell High Shool, the ost to tten speil events epens on whether or not stuent hs purhse $1 isount r. Option A: The stuent uys isount r. The ost is $5 per event. Option B: The stuent oes not uy isount r. The ost is $7.5 per event. Grph the reltionship etween totl ost n numer of events for eh option on the gri. C Totl Cost vs. Numer of Events Totl ost ($) Numer of events n Determine the onitions uner whih stuent t Lowell High Shool shoul hoose eh option. Justify your nswer. 11

12 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 sf Ell wnts retngle with perimeter of 1 m n the lrgest possile re. sh A gren is in the shpe of retngle n semiirle s shown elow. Wht re the imensions of the retngle tht stisfies her onitions? 1 m 1 m m m 7 m 1 m 1 m 7 m sg 5 m 5 m m 6 m Consier the prllelogrm shown elow. m Whih of the following is losest to the mount of fening neee to enlose the gren? W 1 m X 6 m 7 m m 75 m 85 m Z P Y 7 m Wht is the perimeter of WXYZ? 8 m m 1 m m 1

13 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie sj The plying hips of or gme re store in ylinril plsti ses. The plsti ses hve volume of 5 1 mm n imeter of mm. sk Consier the igrm elow. y Plying Chip Plsti Cse 15 mm mm 1 15 Whih of the following is the vlue of y in the igrm? sl Wht is the sum of the interior ngles of 1-sie regulr polygon? Whih of the following is losest to the height of one plying hip if 5 plying hips n fit tightly into the plsti se s shown ove?.1 mm mm 1. mm.5 mm 1

14 Open-Response Gre 9 Assessment of Mthemtis, 1 Toy Silots Emelin mkes toy silots s shown elow. 11 m m m Determine the totl re of the she sils. Show your work. 1

15 Gre 9 Assessment of Mthemtis, 1 Open-Response Wht s Missing? Consier the igrm elow y 18 x Complete the tle elow. Justify your nswers using geometri properties. Angle mesure Justifition x y 15

16 Gre 9 Assessment of Mthemtis 1 Smple Assessment Questions: Aemi Answer Key Respon in ooklet Respon in ooklet. 1. Respon in ooklet.. Respon in ooklet.. Respon in ooklet Respon in ooklet. 1. Respon in ooklet En of Assessment Answer Key Smple Assessment Questions

17 Applie Gre 9 Assessment of Mthemtis 1 SAMPLE ASSESSMENT QUESTIONS Reor your nswers to the multiple-hoie questions on the Stuent Answer Sheet (1, Applie). Plese note: The formt of this ooklet is ifferent from tht use for the ssessment. The items themselves remin the sme.

18 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 1 Tommy uses the proportion elow to etermine the mount of utter, x, to use with 1 grms of sugr in his ookie reipe. 5 How mny grms of utter oes Tommy nee? 8 18 The hrt elow shows the mss n the ost for ifferent rns of ookies. Whih rn osts the lest per grm? Brn 1 Brn Brn Brn x 1 Brn Mss (g) Cost ($) Tierney goes to the movie thetre n hs $ to spen on trets. Soft rink $.9 Choolte rs $1.69 Poporn $.9 She uys two soft rinks, hoolte r n poporn. She lso pys 1% tx. How muh hnge shoul Tierney reeive from her $? $8.97 $9.76 $11. $11.55 There re 6 Gre 9 stuents t high shool n 8% of these stuents tten ne. Hlf the Gre 9 stuents who tten the ne uy their tikets t the oor. How mny Gre 9 stuents who tten the ne uy their tikets t the oor? Whih expression represents the volume of ue with sie length of x? x x x 6x

19 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie 6 Wht is the vlue of the expression 1 when x = 18? x 7 The ost of phone ll t hotel is etermine y the formul C 5.5t 1.6 where C is the ost, in ollrs, n t is the length of the ll, in minutes. Wht is the length of ll tht osts $5.85? minutes 6 minutes 15 minutes 18 minutes

20 Open-Response Gre 9 Assessment of Mthemtis, 1 8 Fill Er Up The tle elow shows the ost of wter for three ustomers. They eh py the sme ost per litre. Amount (L) Cost ($) Frnk pys $6.1 for wter t the sme rte. Determine the numer of litres of wter tht he purhses. Show your work.

21 Gre 9 Assessment of Mthemtis, 1 Open-Response 9 Sil Awy Alin esigns sil in the shpe of tringle for ot. height se The se n height re equl. The re of the sil is 18 m. Determine the height of the sil. Hint: A 5 h Show your work. The height of the sil is. 5

22 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 Mli reors the numer of ie rem ones she sells eh y n the mximum ily temperture, s shown on the grph elow. Whih line of est fit is most pproprite for the t? M Numer of ones sol Numer of Cones Sol vs. Temperture N Mrk (%) n Numer of lsses misse M Aoring to this grph, pproximtely how mny ie rem ones will Mli sell on y when the mximum temperture is 6? Temperture ( C) t Mrk (%) M Numer of lsses misse n This grph shows the reltionship etween stuents mrks n the numer of lsses tht they hve misse. Mrk vs. Numer of Clsses Misse M Mrk (%) Mrk (%) n Numer of lsses misse M Mrk (%) n Numer of lsses misse n Numer of lsses misse 6

23 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie s A stuent retes tle to show the reltionship etween the sie length of squre n its re. The squre-se prism elow hs height of m. Sie length 1 Are 1 m 9 16 Sie Sie 5 Whih of the grphs elow est represents this reltionship? A 5 Hint: V 5(re of se)(height) Whih tle represents the reltionship etween the sie length n the volume of this prism? Are A Sie length l Sie length (m) 1 5 Volume (m ) Are Sie length (m) Volume (m ) A Sie length l Are Sie length (m) Volume (m ) A Sie length l Are Sie length (m) Volume (m ) Sie length l

24 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 f The following grphs represent liner reltionship etween temperture n time. Whih grph hs rte of hnge of ] C per hour? Temperture vs. Time Temperture vs. Time T Temperture ( C) T 1 5 t Temperture ( C) Time (h) t 8 1 Temperture vs. Time Time (h) T 1 Temperture vs. Time 8 6 Temperture ( C) T 1 5 t Temperture ( C) Time (h) t 8 1 Time (h) 8

25 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie g Srh is running km re t stey pe of 1 km/h. Whih eqution represents the istne Srh hs left to run fter she strts if D is the istne in kilometres n t is the time in hours sine she strte the re? D 5 1t D 5 1 1t D 5 1 t Cost ($) C Tony s 1 Numer of toppings Peppi s t h D t The equtions for the ost of pizz t two resturnts re shown elow, where C represents the ost in ollrs n t represents the numer of toppings. Peppi s Pizzeri Tony s Pizz C t C t Whih grph est represents the ost of pizz t eh resturnt? Cost ($) C 1 Numer of toppings Peppi s Tony s t C Tony s Peppi s Cost ($) 15 1 Cost ($) 5 1 Numer of toppings C Numer of toppings t Tony s Peppi s t 9

26 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 j The grph elow illustrtes the reltionship etween the istne riven n the mount of gsoline in the tnk of r. Amount of gsoline (L) 5 1 G Amount of Gsoline vs. Distne Driven 1 5 l The totl ost of renting r on weekys is represente y the grph elow. Totl ost ($) Totl Cost vs. Numer of Kilometres Driven C Weekys Distne riven (km) How mny litres of gsoline re in the r s tnk when the istne riven is km? Numer of kilometres riven n 5 On weekens, the flt fee remins the sme ut the ost per kilometre is less. Whih of the following sttements is true out the grph for weekens? k One y, the temperture t 5 p.m. is 8C. For the next 6 hours, the temperture rops 8C every hour. Wht is the temperture t 11 p.m.? C 8C ] 8C ]6 8C ]8 8C The weeken grph goes through the point (, ). The weeken grph stys the sme s the weeky grph. The initil ost is the sme ut the weeken grph is steeper thn the weeky grph. The initil ost is the sme ut the weeken grph is less steep thn the weeky grph. 1

27 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie s Prllel Pines Bowling Alley offers two options. A grph representing the ost of Option A is shown elow. Cost vs. Numer of Gmes C Cost ($) Option A Numer of gmes n Option B hrges $ for unlimite owling. Whih of the following is true? Option A is lwys heper. Option B is lwys heper. Option A is heper for fewer thn 15 gmes. Option B is heper for fewer thn 15 gmes. 11

28 Open-Response Gre 9 Assessment of Mthemtis, 1 s Mrthon Mn Mnny is running re t onstnt rte. He reors his istne from the strting line t prtiulr times s shown elow. Complete the tle for this liner reltionship. Time, t (h) Distne, D (km) D Distne vs. Time. 5. Grph this reltionship on the gri. 8 6 Distne (km) Time (h) t 1

29 Gre 9 Assessment of Mthemtis, 1 Open-Response ss Gym Time The grph elow shows the reltionship etween the ost of renting gym n the mount of time the gym is use Cost vs. Amount of Time C Cost ($) Amount of time (h) t Determine the hourly rentl rte. The hourly rentl rte is. Show your work. 1

30 Open-Response Gre 9 Assessment of Mthemtis, 1 s Bowling Vritions There re two owling lleys in town. The totl ost of owling t Ten Stripes Bowling is represente y the grph elow. Ten Stripes offers free shoe rentl. Totl Cost vs. Numer of Gmes C Ten Stripes Totl ost ($) Numer of gmes n The totl ost of owling t Supreme Bowling is $ for shoe rentl plus $ per gme. Complete the hrt. Ten Stripes Bowling Supreme Bowling The initil vlue is. The initil vlue is. Cirle one: Diret vrition Prtil vrition Justifition of hoie of type of vrition: Cirle one: Diret vrition Prtil vrition Justifition of hoie of type of vrition: 1

31 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie sf A retngle is to hve perimeter of 1 m. The grph elow shows the reltionship etween the re of the retngle n its with. sg Goron hs irulr pool in his kyr, s shown elow. Are vs. With Pool A 1 m 1 Are (m ) 8 6 m Wht is the with of the retngle with the lrgest re? With (m) m 6 m 1 m 9 m w Whih of the following is losest to the re of the lwn surrouning the pool?.5 m. m 1.5 m 8.6 m Lwn 1 m 15

32 Multiple-Choie Gre 9 Assessment of Mthemtis, 1 sh The wter ontiner elow nees to e fille. m sj An ie rem shop sells ie rem ones tht eh ontin n verge of 55 m of ie rem. The ie rem is serve from the following ylinril tu. m 5 m Ie Crem Tu 5 m Whih of the following represents the volume, in m, of wter tht fills the ontiner? V 5 p( )(5) V 5 p(1.5)(5) V 5 p( )(5) V 5 p(1.5) (5) Aout how mny ones n e me from full tu of ie rem with the imensions shown? sk A rpenter is uiling retngulr gte for fene, s shown elow. x 5 y 11 Wht re the vlues of x n y? x 5 58, y x 5 58, y x 5 558, y x 5 558, y

33 Gre 9 Assessment of Mthemtis, 1 Multiple-Choie sl Consier the igrm elow. 1 y Wht is the vlue of y?

34 Open-Response Gre 9 Assessment of Mthemtis, 1 Get Trkin Ashley runs roun the following trk. 1 m 6 m How mny times must she run roun the trk in orer to run totl istne of km? Show your work. Hint: 1 km 5 1 m 18

35 Gre 9 Assessment of Mthemtis, 1 Open-Response Digging Aroun A hyruli rm swings from Point B to Point A, s shown in the igrm elow. 15º º y x A B Determine the vlues of x n y. Justify your nswers using geometri properties. Vlue Justifition x y 19

36 Gre 9 Assessment of Mthemtis 1 Smple Assessment Questions: Applie Answer Key Respon in ooklet Respon in ooklet Respon in ooklet.. Respon in ooklet Respon in ooklet. 1. Respon in ooklet. 8. Respon in ooklet En of Assessment Answer Key Smple Assessment Questions