Applie Gre 9 Assessment of Mthemtis Multiple-Choie Items Winter 2005 Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves remin the sme.
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Multiple-Choie Questions 1. Wht is the sle prie of the skteor? Regulr Prie $160 3. Ky works s trnsltor. She hrges 21 for eh wor she trnsltes. All items 25% off $40.00 $64.00 $120.00 $135.00 2. Eh sie of ue is 2y m long. Wht is the volume of the ue? Whih expression shoul Ky use to lulte her hrge, in ollrs, for trnslting oument with n wors? $ 21 n 100 100 $ 21 n n $ 21 100 21 100 $ n 2y m 2y m 2y m 8y3 m3 6y m3 2y3 m3 2y m3 1
Multiple-Choie Questions 4. Mrk reors his r s oometer reing. He trvels t pproximtely the sme spee for the whole journey n mkes only one 30-min rest stop. Time Reing (km) 5. Wht is the ost of portle CD plyer, inluing 15% tx? Regulr Prie $89 12:00 noon 1:00 p.m. 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 25 091 25 178 25 222 25 310 25 395 25 483 All items 30% off $71.65 $67.85 $62.30 $30.71 When oes Mrk most likely mke his 30-min rest stop? Between 1:00 p.m. n 2:00 p.m. 6. The vertisement elow shows the sle prie of ig-igit lultor. Between 2:00 p.m. n 3:00 p.m. Between 3:00 p.m. n 4:00 p.m. Between 4:00 p.m. n 5:00 p.m. + - Wht is the est estimte of the regulr prie of the ig-igit lultor? $12 $14 $16 $18 2
Multiple-Choie Questions 7. A 4 L n of pint overs n re of 36 m 2. 10. A steel r will expn when it is hete n ontrt when it is oole. The reltionship etween the length of the r, L, (mm) n the temperture, T, ( C) is given y L = 5000 + 0.12(T 20). Wht is the length of the steel r when the temperture is 45 C? Wht re will 10 L n of pint over? 40 m 2 60 m 2 90 m 2 5001 mm 5002 mm 5003 mm 5004 mm 360 m 2 8. Express the numer 0.000 000 078 in sientifi nottion. 7.8 10 8 7.8 10 9 7.8 10 8 11. If = 2 n = 3, whih expression elow hs the lrgest vlue? 2 2 2 + 2 2 2 7.8 10 9 9. A ll is hit stright up into the ir. The height of the ll, h, in metres, fter t seons is given y the following formul: h = 5(6t t 2 ). Wht is the height of the ll fter 3 s? 45 m 51 m 75 m 81 m 3
Multiple-Choie Questions 12. Beth works t groery store. She erns $8/h for her first 20 h of work in week. She erns $11/h for working eyon 20 h week. 13. A sumrine is sumerging. The grph shows the istne elow se level the sumrine hs esene over time. Distne Below Se Level vs. Time 500 Whih grph shows the reltionship etween Beth s ernings n the numer of hours she works in week? Beth s ernings ($) Distne elow se level (m) 400 300 200 100 0 10 20 30 Time (min) 40 50 Numer of hours worke How fr elow se level hs the sumrine esene fter 24 min? 300 m Numer of hours worke 325 m 350 m 375 m Beth s ernings ($) Beth s ernings ($) Numer of hours worke Beth s ernings ($) Numer of hours worke 4
Multiple-Choie Questions 14. A moving ompny hrges flt fee of $24, plus rte of $6/h. 15. Sergio sells 7 moels of CD plyers. The tle shows the unit ost of eh moel n the numer of CD plyers of tht moel sol in the pst month. Moel Unit ost ($) Numer sol A 55 11 B 70 14 For how mny hours i you use the moving ompny if your ill is $120? 5 h 12 h 16 h 20 h C 90 17 D 100 21 E 120 24 F 150 29 G 200 41 Whih sttement out the reltionship etween the unit ost n the numer of CD plyers sol is true? There is no reltionship etween the unit ost n the numer sol. As the unit ost inreses, the numer sol ereses. As the unit ost inreses, the numer sol is onstnt. As the unit ost inreses, the numer sol inreses. 5
Multiple-Choie Questions 16. An Internet servie provier hrges $18.00 for the first 10 h eh month plus $2.00 for eh itionl hour of servie. 17. Ntsh works for omputer ompny. The tle shows her nnul slry in the lst five yers. Whih grph shows the reltionship etween totl hrges in month n the numer of hours of Internet servie? Internet servie hrge ($) Numer of hours of Internet servie Yer 1 2 3 4 5 Annul slry ($) 32 000 33 600 35 200 36 800 38 400 Internet servie hrge ($) *R16 AP Numer of hours of Internet servie Internet servie hrge ($) Numer of hours of Internet servie If the tren ontinues, wht will Ntsh s nnul slry e in the 8th yer? $40 000 $43 200 $46 400 Internet servie hrge ($) $49 600 Numer of hours of Internet servie 6
Multiple-Choie Questions 18. ABC is n equilterl tringle. BC is extene to D so tht CAD = 25. A 20. ABCD is qurilterl. A 47 D 25 B 105 B C? D 93 Wht is the mesure of ADC? 25 35 45 55 C Wht is the vlue of? 105 115 120 125 19. ABCD is qurilterl with ll sies the sme length. B = 80. A? B 80 D C Wht is the mesure of A? 80 90 100 110 7
Multiple-Choie Questions 21. Elis wnts to pk CD ses into storge ox. 22. A metl ir ut is me in the shpe of yliner n is open t oth ens. 1 m 12.5 m 500 m 14 m 18 m 10 m The ir ut is me from sheet of metl. 38 m Whih expression shows the re of the urve surfe of the ir ut? 2π 9 500 m 2 28 m Wht is the lrgest numer of CD ses Elis n pk insie the overe storge ox? 2π 18 500 m 2 π 92 500 m 2 π 182 500 m 2 out 40 out 50 out 60 out 70 8
Multiple-Choie Questions 23. A rton of milk mesures 6 m 13 m 19 m. 24. Mei hs ylinril hot tu with imensions s shown. 6 m 13 m 2 m 1.5 m 19 m Wht volume of wter n Mei s tu hol when fille to the top? 4.7 m 3 Hint: 1000 m 3 = 1 L Aout how muh milk n the rton hol when fille to the top? 6.0 m 3 9.4 m 3 18.8 m 3 1 L 1.5 L 2 L 2.5 L 25. ABC is tringle. AB is extene to D. A 40 B 45 C D Wht type of ngle is CBD? stright ngle otuse ngle ute ngle reflex ngle 9
Multiple-Choie Questions 26. The figure elow shows n isoseles tringle. m 27. Four points, A, B, C n D, re mrke on n xy-plne n joine y line segments s shown. y 70 Wht is the vlue of m? A 7 6 5 4 3 2 1 D 7 6 5 4 3 2 1 1 0 1 2 34 5 6 7 2 C 3 B 4 5 6 7 x 40 50 Whih line segment hs negtive slope? 60 70 BA BC CD AD 28. Whih of the following lines hs the sme slope s the line y = 2x + 1? y = x + 1 y = x + 2 y = 2x 1 y = 2x 2 10
Multiple-Choie Questions 29. A is the point ( 2, 1), B is the point (1, 4) n D is the point (1, 6). 30. Stuy the isply on Mrie s grphing lultor. y A 10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 0 1 2 34 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 D B x If ABCD is rhomus, whih of the following points is point C? (1, 1) (1, 4) (4, 1) (4, 4) Whih sttement esries the reltion etween x n y? y inreses linerly s x inreses. y ereses linerly s x inreses. y inreses non-linerly s x inreses. y ereses non-linerly s x inreses. 11
Multiple-Choie Questions 31. PQ n RS re prllel line segments. Wht is the vlue of y? y 32. For n esy ski run, ski hill must hve n verge slope tht is out. A new ski slope is to e onstrute tht will over horizontl istne of 4800 m. Q (9, 20)? P (6, 10) S (3, y) R (0, 2) x 4800 m Wht is the vertil rop tht the hill must hve in orer to e n esy ski run? out 600 m out 620 m 5 6 7 8 out 4400 m out 4464 m 12
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The informtion in this ooklet is eing ollete uner uthority of luse 4 (1) () n susetion 9 (6) of the Eution Qulity n Aountility Offie At, 1996, for the purposes of ministering n mrking tests of pupils in seonry shools n evluting the qulity n effetiveness of seonry eution, in orne with setion 3 of the At. Inquiries regring this olletion shoul e irete to the Senior Poliy Anlyst, EQAO, 2 Crlton Street, Suite 1200, Toronto, ON M5B 2M9 1-888-327-7377. Stuent responses in this ooklet my e use s exmples for the mrking of the ssessment, n my e inlue without ttriution in puli reports. 2005 Queen s Printer for Ontrio. All rights reserve. No prt of this pulition my e reproue, store in retrievl system, or trnsmitte in ny form or y ny mens, eletroni, mehnil, or otherwise, without the prior express written permission of the Eution Qulity n Aountility Offie s Deprtment of Externl Reltions. Printe on reyle pper.