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Credit Humber Associationfor Mathematics Promotion INSTRIrcNONSTO THESTUDENT 1. givesthe signalto beginworting. Openyourbookletwhenyoursupervisor 2. Useof scratchpap6r,grephpap6t,ru19r,compasloaandnonprogrammablornon{rgphlc calculatoEis permitted. 3. Inthismultiplechoicetesteachquestionis followedbyfiveansw€G marked(a),(b),(c),(d)and(e). Onlyoneof theseanswersis correct. Ma* theansweryouhavechosenon theanswersheet.Flll In thg cantraof tho boxend 3taywithln the lin€s. 4. Pleasenotethe scoringsystemused: ForPARTA answers, 5 creditseach. ForPARTB ansv'r€rs, 6 crdits each. I creditseach. ForPARTC answers, 5. maynotbedrawnto scale. Diagrams 6. Youha\€ exac-tly 60 mlnuio3 to completethe contest. GOODLUCKI Thankyou for perticipating. xnil6G.*9CHAnPndt Con'3si Part A: (5 credits each) - lfx = 4 andy = t, tben f+l equale: x y | . l . . _I a, _ Dt c, 4 5 2 0 t. l. 2. of thefiv€fractioD", Ll,l,1,l, . I . . -I b) 5 4 , 4 er5 *t"h oneis thelargest? - 5 10 138 3 a') :3 , . 5 or- | 8 | I 13 d) -i- e) - d)0 e) 60 c)6 d)2 e)0 c)2 d)0 e) -2 d) -1 e)3 c) I 3. What is the number of even factoreof 6O? 6)8 b) 12 c)3 l 0 I 4. Ifx = 0.2,then : ie: r . | a)- .. I D )- 6. The valueof 2x4-2x3 ie; a) 18 b) 12 \- 6. Find the valueofx + 3y, if x = I andy = -1. a)4 b) -2 c)2 7. Ttere are Bix math teachers at a party. Each teacher ahakeshande with each other teacher.How many handsha.keewere there? e) 2l a)6 b) 36 c) 30 d) rb 8. The averageof two numbers ie 6. Ifone number is l, what ie the other number? e)g a)3 b)4 c)6 d)6 9. In a local bicycle race,Jamal rode the 6r6t 6 km in l8 min. If he cutinued at thie rate, how long would it tatre him to complete the 60 km rout€? e) noneofthe a) 20 min b) 180min c) 20Omin d) 600 nin above 10. Which of the following stat€ments i6 false? a) 6>2 b) 2=2 c) -2<O d) -4<-2 e) -8>-4 Part B: (6 credits each) Il. A gameisplayedon a Cart€sianp+ordinateplane. Oneachmove,aplayerwho is at a point (x, y) movesto the point (.y, 3x). After two move6a player who starts at (1, -2) will be at: e) Cl 6) a) (2,3) b) C3,6) c) (6, -3) d) (3, -6) 2@*6 Gn b I CHAttPnd, Con'€€i 12. What is the perimeter of the figure given? a) 2a+23 b) 2a+24 c) 18 d) 20 e) ai2l 13. Ifthe sidelengthoofa cubeare incrcaeedby 1000/6,the volune i6 increaBed by: d) 80096 e) none ofthe a) 100% b) 200% a) 600% atrove 14. The equare ehownie divided into rectangleewhoeearcaeart 25 and 144. The perimeter ofthe originsl squate i6: a) 13 b) 68 c\ 62 d) 169 e) r7 16. My accurat€watahhas only onehand, an hour hand, At the preqieemoment that this hand points directly to the ll-minute mark, what is the exact time? a) l:12 b) 2t12 d) 11:00 e) 2:01 c) 2:11 16. There are two jars oach contsining r€d and white marblee. The ratio of red to white Barbles is 7:I in the frrst jar 8nd 9:1 in the secondjat. Thore are 90 white marbleein the fuet jar, If the eecondjar has twice as rnany r€d marbles as the frrst jar, how many white marble8 are in the s€condjar? a) 180 d) 90 e) 140 b) 20 c) 630 17. My father is 42 yeareold andmydog ie 8. If my dogwerchuman, it wouldbe 66. Ilow old would my father be if he were a dog? a)6 b)? d) 336 e) 392 c) 294 18. What id the smallest positive integer that leavesa remainder of 10 when divided into 90? a) 5 b) 10 d) 80 e) noneofthe c) 16 above 19. To raise money for the school,a grade 9 claaebuys paclages of 8 hamburgers for $10.00. At a barbeque,each hamburger is sold for $2.00. What is the profrt if they sell 600 hamburgers analthey have 4 hamburgers left over? e) $630 a) $1000 b) $376 c) $ 370 d) $625 mHn Gr€]c/€ 9 CHAnPn.t Contest 20. Sidney wrote down three different prime numbers. The sum of the6eprime numbers was 40. What is the largest number of the three numberehe wrote down? a) 33 b) 39 c) 29 d) 3r e) 37 Part C: (8 credits each) 21. Find the difrerent valuee of a for which the given triangle i8 isosceles. 4a+'l a) a=2,a=3 b)a=3,a=4 c)a=2 d) a=3 e) noneofthe above 22, A teacher recordedthe te€t marks for a classof 18 student€. Ueing the marks, the averagewas calculated to be 70%. John'e mark of 86 % was incorrectly recorded as 50%. What should ths correct averagebe? a) 72o/o b) 760/0 c) 660/0 d) 86% e) 7go/o 23. A6 by 5 by6 cubeie formedusing 1by I by I cubes.A numberof the cubesate removedby punchingout the l5 deeignatedcolumno from front to back, top to bottom, side to side.How many ofthe cubearemain? a) 50 b) 71 c) 76 d) 80 e) 49 d)' 2:: 7 e'- 24. Io the diagramthe curvedlineeare eemi-circles.All areasmarked A are equal to one another and all areae marked B are equal to one another. The ratio ofeach area A to eacharea B is: e t - b ' ) -6 . z c , - . 6 25. The ratio of two supplementary anglee ie l:2. Ifthe emaller angle is increasedby 10%, by rrhat percent must the larger be decr€aBedso that the two angles remain supplementary? a) l0% b) 6% c) 5oA d) 40 e) 160/"