Gre 6 Assessment of Reing,Writing n Mthemtis, Junior Division Stuent Booklet Mthemtis SPRING 2008 RELEASED ASSESSMENT QUESTIONS Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves remin the sme.
Mthemtis Gre 6, Spring 2008 Whih is the orret wy to write the numer 90 090 in wors? nine hunre ninety nine thousn ninety ninety thousn ninety nine hunre thousn ninety Wht is the re of prllelogrm with height of 2 m n se of 3.5 m? 1.75 m 2 3.50 m 2 7.0 m 2 11.0 m 2 Joseph finishes swim re in 73.365 seons. Joseph knows the following out his frien s time for the sme re. The igit in the hunreths olumn is 3 more thn Joseph s. The igit in the ones olumn is 2 less thn Joseph s. In wht time oes Joseph s frien swim the re? 53.368 53.395 71.368 71.395 Consier the three equtions elow. m 9=12 m n 3 = 14 m n p = 15 Wht is the vlue of p? 3 4 5 8 Wht is the missing term in the eresing pttern elow? Wht is the totl surfe re of the retngulr prism elow? 497 498 499 500 532, 515,, 481, 464 1 m 3 m 2 m 6 m 2 11 m 2 16 m 2 22 m 2 2 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis Mr. Lee moves gym mt using the following four trnsformtions. 1. Rotte the gym mt 90 lokwise out Point C. 2. Trnslte the gym mt 8 units to the right. 3. Trnslte the gym mt 6 units up. 4. Reflet the gym mt over line AB. On the gri elow, show the new lotion of the gym mt fter Mr. Lee mkes the four trnsformtions. Show ll your work. A CC Gym Mt B Stuent Booklet: Mthemtis 3
Mthemtis Gre 6, Spring 2008 Dneen uils moel trin with 5 ues s shown elow. The imensions of eh ue re 2 m 2 m 2 m. Dneen wnts to pint the outsie of the moel trin with re pint. The ost to pint 1 m 2 of the trin is $0.75. How muh will it ost to pint the outsie of the moel trin? Show your work. 4 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis The fes of numer ue re lelle 1, 2, 2, 3, 4 n 5. The numer ue is rolle 114 times. How mny times woul you expet the numer 2 to pper? Justify your nswer. Stuent Booklet: Mthemtis 5
Mthemtis Gre 6, Spring 2008 Eh of 130 stuents sign up for one of five tivities. The tle elow shows some of the results. Ativity Sign-Up Ativity Soer Chess Bn Drm Photogrphy Numer of Stuents 38 13 33 14 Susn estimtes tht 25% of the stuents signe up for rm. Jessi estimtes tht 50% of the stuents signe up for rm. Using the enhmrks of 10%, 25%, 50%, 75% or 100%, justify whih estimte is more pproprite. 6 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis Mie s n Lis s sores on 5 mth quizzes re shown in the tle elow. Mie s sores Lis s sores Aoring to the t in the tle, Mie s men sore is lower thn Lis s men sore. the sme s Lis s men sore. higher thn Lis s mein sore. the sme s Lis s mein sore. Whih of the following represents the proility of n event tht is very likely to our? 0 0.15 0.85 1 Mth Sores out of 30 20 21 23 22 28 26 21 25 23 26 Mrs. Smyte reors the numer of people in the shool uitorium every hour uring shool y. The t she ollets show mximum of 325 people in the uitorium. Whih of the following is n pproprite sle for the vertil xis of the line grph for these t? 7 inrements with eh inrement representing 40 people 10 inrements with eh inrement representing 35 people 15 inrements with eh inrement representing 20 people 20 inrements with eh inrement representing 12 people A pttern tht inreses when the sme mount is e to eh term is represente in the tle elow. Term Numer Pttern Tle Term Vlue 1 11 2 17 3 23 4 29 5 35 Whih of the following is the term numer when the term vlue is 53? 6 8 41 47 Stuent Booklet: Mthemtis 7
Mthemtis Gre 6, Spring 2008 Look t the repeting pttern elow. R R B B G G Y Y R R B B G G Y Y If the pttern ontinues, wht will the 82 n letter e? R B G Y Whih is losest to the mesure of ngle X in ΔXYZ? Use protrtor. X Tringle ABC is grphe on the gri elow. Z Y 12 11 10 9 8 7 6 5 4 3 2 1 0 y A B C 1 2 3 4 5 6 7 8 9 10 11 12 x 35 55 90 145 Tringle ABC is trnslte 3 units to the left n 4 units own. Wht re the new oorintes of Point C? (3, 9) (7, 3) (8, 5) (9, 3) 8 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis The three-imensionl figure elow hs een uilt using ues. Wht is top view of this figure? Stuent Booklet: Mthemtis 9
Mthemtis Gre 6, Spring 2008 The time spent on whih of the following tivities woul est e mesure to the nerest hunreth of seon? plying t reess wlking to shool working on homework running 50-metre re Mr. Clrke wnts to tile floor tht is 6 metres long n 4 metres wie. The imensions of eh squre tile re 20 m y 20 m. Wht is the minimum numer of tiles tht Mr. Clrke will nee to tile the entire floor? 24 400 600 1200 Whih of the following woul e the most pproprite metri unit to mesure the length of Johnn s rm? eimetre emetre millimetre kilometre A pkge of 3 pirs of soks osts $3.90. Wht is the ost of one pir of soks? $1.30 $1.90 $6.90 $11.70 A teher plnts 6 tulips n 9 roses in plnter. Whih of the following represents the rtio of roses to tulips? Whih rule esries this numeril pttern? To eh term, 17, 33, 65, 129,... 16 to get to the next term. sutrt 16 to get to the next term. multiply y 2, n 1 to get to the next term. multiply y 2, n sutrt 1 to get to the next term. The totl numer of ooks Mitzi res over the summer n e foun using the expression 2 n 3, where n represents the numer of weeks. After how mny weeks will she hve re 11 ooks? 3 4 7 8 3 2 2 3 15 9 9 15 10 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis Look t the figures elow. y 9 8 7 6 5 4 3 2 1 0 l A B 1 2 3 4 5 6 7 8 9 x Whih of the following esries how Prllelogrm A ws move to rete Prllelogrm B? refletion over line l trnsltion 3 units to the right trnsltion 3 units to the left, then refletion over line l trnsltion 3 units to the right, then refletion over line l Stuent Booklet: Mthemtis 11
Mthemtis Gre 6, Spring 2008 4 Josie, Christin, Aurey n Mnny go shopping. Josie spens of her money, Christin spens 75% 5 of her money, Aurey spens 0.68 of her money n Mnny spens Who hs the lrgest perentge of their money left? 17 20 of his money. Justify your nswer. 12 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis The grph elow shows the reltionship etween the numer of sies of polygon n the sum of the interior ngles of tht polygon. Sum of Interior Angles (egrees) 1800 1620 1440 1260 1080 900 720 540 360 180 y Sum of Interior Angles of Different Polygons 0 1 2 3 4 5 6 7 8 9 10 Numer of Sies of Polygon x On the gri ove, exten the pttern for polygons with 6 sies, 7 sies n 8 sies. Sm sttes tht the rule to etermine the sum of the interior ngles of polygon is sutrt 2 from the numer of sies n multiply this ifferene y 180. Is Sm s rule orret? Justify your nswer. Stuent Booklet: Mthemtis 13
Mthemtis Gre 6, Spring 2008 Json plys on his shool s sketll tem. The tle elow shows the numer of points Json sores in the first 9 gmes of the seson. Gme Json s Points Points 1 8. 2 6. 3 8. 4 6. 5 10. 6 35. 7 10. 8 8. 9 8. Explin why the men oes not truly represent Json s usul performne. Explin your thinking. 14 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis Using protrtor n ruler, onstrut prllelogrm with n ngle mesure of 115 n sies with lengths of 7 m n 6 m. Mrk on the prllelogrm the length of eh sie n the mesure of ll ngles. Show your work. Stuent Booklet: Mthemtis 15
Mthemtis Gre 6, Spring 2008 Look t the expression elow. 6 2 6 2 Whih of the following shows the orer of opertions tht n e use to simplify this expression orretly? A pool in the shpe of retngulr prism is shown elow. 10 m sutrtion, ivision, multiplition sutrtion, multiplition, ivision ivision, sutrtion, multiplition 25 m multiplition, ivision, sutrtion 2 m A swim tem ompletes the 4-person rely in 210.625 seons. The times for the first three swimmers re shown elow. Swimmers Times Swimmer 1 2 3 4 Time (in seons) 53.452 59.371 47.582? How mny litres of wter re neee to ompletely fill the swimming pool? 500 000 50 000 5000 500 Hint : 1 m 3 = 1000 L Wht is the time for swimmer 4? 50.220 seons 50.200 seons 50.022 seons 50.020 seons A group of 6 people eqully shres 12 litres of juie. How mny millilitres of juie oes eh person reeive? 2 72 2000 12 000 16 Stuent Booklet: Mthemtis
Gre 6, Spring 2008 Mthemtis A g ontins 12 mrles. If Angelin piks one mrle from the g without looking, wht is the proility tht she will pik lk mrle? 1 12 1 6 1 3 1 2 White Grey Blk The grphs elow show the poporn sles for Simon n Henry. Aoring to the informtion in the grphs, Henry sol fewer oxes thn Simon in Week 1. twie s mny oxes s Simon in Week 2. twie s mny oxes s Simon in Week 3. Numer of Boxes Sol Numer of Boxes Sol 10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 Simon s Poporn Sles 0 1 2 3 4 Week Henry s Poporn Sles 0 1 2 3 4 Week the sme numer of oxes s Simon in Week 4. Stuent Booklet: Mthemtis 17
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