GRADE 6 ASSESSMENT OF READING, WRITING AND MATHEMATICS, 2004 2005 Stuent Booklet MATHEMATICS 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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Setion 1 Stuent Booklet: Mthemtis Setion 1 3
1. The tringle PQR hs een trnsforme to the position XYZ. Wht is orret esription of the trnsformtion? P Q X Y trnsltion to the right y 2 units n own y 2 units trnsltion to the right y 4 units n refletion out the horizontl xis refletion out the horizontl xis followe y refletion out the vertil xis trnsltion to the right y 2 units n refletion out the horizontl xis R Z 2. Ln Ying n Sen love ike riing. They tke off from the sme ple, t the sme time, going in the sme iretion. Ln Ying ries t stey spee of 6 km/h, n Sen ries t stey spee of 4 km/h. How fr prt will they e in 3 hours? 6 km 12 km 18 km 30 km 3. Whih set of vlues is represente y the 4 points on the numer line? 1 1.2 1.05, 1.1, 1.5, 1.9 1.01, 1.10, 1.13, 1.17 1.1, 1.11, 1.15, 1.19 1.01, 1.10, 1.12, 1.5, 4. Whih pttern hs this rule: erese y sutrting the sme mount from eh term? 20, 10, 5, 2.5, 1.25 20, 18, 16, 14, 12 20, 25, 30, 40, 45 20, 40, 80, 160, 320 4 Setion 1 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
5. A irle is ivie into setions of equl size. 7. Whih tringle must hve t lest one 60 ngle? Green Re 8 8 Re Re 5 Yellow Blue Re Green 6 10 Wht is the proility tht the spinner will stop on re? 1 out of 4 3 out of 8 3 out of 4 1 out of 2 6. Write 207.083 in expne form. 200 + 7 + 0.08 + 0.003 20 + 7 + 0.8 + 0.3 200 + 7 + 0.08 + 0.03 200 + 7 + 0.8 + 0.003 8 * 6 6 6 none of the ove Stuent Booklet: Mthemtis Setion 1 5
8. The seting pln igrm shows how the hirs nee to e rrnge for the shool onert. The pttern ontinues to Row 15. Rows 6 5 4 3 2 1 16 17 18 19 20 21 22 23 24 9 10 11 12 13 14 15 4 5 6 7 8 1 2 3 Whih rule elow n e use to fin the numer of sets in eh row? There is n o numer of sets in eh row. Eh row hs more sets. Eh row hs 2 more sets thn the row efore it. There re 24 sets. 6 Setion 1 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
9. Srh types 115 wors in 5 minutes. Mry types 174 wors in 8 minutes. Who types fster? Show your work. types fster. Stuent Booklet: Mthemtis Setion 1 7
10. Jessi wnts to pour 5 kg of sugr into smller gs. If eh g hols 250 grms, how mny gs oes she nee? Show your work. Jessi nees gs. 8 Setion 1 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
11. Jspreet is wonering why she me the honour roll ut her frien Cynthi i not. She knows tht n overll perentge of 80 or higher mkes the honour roll. She is not sure if the shool uses the men, mein or moe to lulte the perentge. Jspreet s Mrks 70 73 73 83 78 93 87 85 80 Cynthi s Mrks 87 75 76 84 78 94 70 84 79 Determine whether the shool uses the men, mein or moe to lulte the overll perentge. Show your work. The shool uses to lulte the overll perentge. Stuent Booklet: Mthemtis Setion 1 9
12. Follow the instrutions elow to rete polygon. You will nee protrtor n ruler. Strt with the line BC elow. 1) At Point B, use protrtor to rete n ngle of 30 with sies mesuring 5 m eh. 2) Lel it ABC. 3) At Point C, rete n ngle of 150 n lel it BCD. 4) Connet Point D to Point A with 5 m line to omplete the polygon. B C Wht is the nme of this type of polygon? 10 Setion 1 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
13. Shron works t the lol gym. She must uy numer stikers to lel the lokers in the hnge rooms. Stikers re sol s iniviul igits. There re 79 lokers, whih will e lelle 1 to 79. How mny stikers of eh igit shoul she uy? Show your work. To lel loker 19, Shron uys two stikers: 1 n 9. Stuent Booklet: Mthemtis Setion 1 11
14. Look t the figures n tle of vlues elow. 15. Look t the figures. Figure 1 Figure 2 Figure 3 4 m 8 m 4 m 10 m 5 m 10 m Figure I Figure II Figure III Figure 1 2 3 4 8 9 Squres 3 6 9 12 24 27 Whih 2 figures hve the sme re? Figure I n Figure II Figure I n Figure III Figure II n Figure III none of the ove Perimeter 8 14 20 26?? Whih set of numers represent the perimeter of the 8 th n 9 th figures? 44, 50 48, 54 50, 56 68, 76 12 Setion 1 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
16. A retngle is rwn on the first qurnt of Crtesin gri s shown. The oorintes of Point B re given in the igrm elow. 6 5 4 3 2 1 0 If the retngle is trnslte 4 units to the right n 3 units up, the new oorintes of Point B will e (3, 4) (4, 3) (5, 5) (6, 4) B (2, 1) 1 2 3 4 5 6 7 8 17. Nine towns, A to I, re spre out in hilly region of the provine. Their snowfll t for the pst yer re shown in stter plot. Wht is the mein nnul snowfll for this group of towns? Annul Snowfll (m) 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 y A B C D E F Towns G H I x 80 m 85 m 90 m 100 m Stuent Booklet: Mthemtis Setion 1 13
18. One of the numers elow meets the following onitions: It is omposite numer. It is etween 22 n 32. It hs more thn 4 ftors. It results in prime numer when its igits re e. Whih numer is it? 23 25 28 30 21. A shool requires stuents to prtiipte in tem sport n ply musil instrument. You re offere sketll n soer s the tem sports, n keyor, rums n lrinet s the musil instruments. Whih igrm elow shows ll the possile hoies for you? Soer Keyor Drums Clrinet Bsketll Keyor Drums 19. If = 4, wht is the vlue of 21 (4 )? 5 13 16 68 20. Nihols works on his mth projet for 1 3 2 2 hours on Mony, 1 4 hours on Wenesy n 3 hours on Thursy. Wht is the totl time he works on his mth projet, expresse in minutes? 235 minutes 360 minutes 361 minutes 435 minutes Soer Keyor Drums Clrinet Keyor Keyor Soer Soer Drums Drums Bsketll Keyor Drums Clrinet Hokey Drums Bsketll Bsketll Clrinet * Drums Clrinet Keyor Clrinet STOP 14 Setion 1 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
Setion 2 Stuent Booklet: Mthemtis Setion 2 15
22. Kevin s tting verge this sell seson is 0.346. Lst seson his tting verge ws 0.297. How muh higher is Kevin s tting verge this seson? 0.049 0.051 0.059 0.643 Numer of Stuents 100 80 60 40 20 0 100 Vnill Strwerry Choolte Choolte Buttersoth Chip Ie Crem Flvours Bule Gum 23. The pitogrph elow shows the numer of stuents who hose ifferent ie rem flvours s their fvourite. Vnill Choolte Strwerry Fvourite Ie Crem Flvours Numer of Stuents 80 60 40 20 0 100 Vnill Strwerry Choolte Choolte Buttersoth Chip Ie Crem Flvours Bule Gum Buttersoth Choolte Chip Bule Gum represents 12 stuents Whih r grph on the right est represents this t? Numer of Stuents 80 60 40 20 0 100 Vnill Strwerry Choolte Choolte Buttersoth Chip Ie Crem Flvours Bule Gum Numer of Stuents 80 60 40 20 0 Vnill Strwerry Choolte Choolte Buttersoth Chip Ie Crem Flvours Bule Gum 16 Setion 2 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
24. Whih of the following is true of ll three squres elow? 25. A wtermelon hs mss of 2.4 kg. Wht is the mss expresse in g or mg? 240 g or 240 000 mg 2400 g or 2 400 000 mg 2 400 000 g or 2400 mg 0.0024 g or 0.000 002 4 mg 26. The losest estimte of the ngle shown is Sutrt 8 from the top left numer to get the ottom right numer. A 8 to the top left numer to get the ottom right numer. A 7 to the top left numer to get the ottom right numer. Sutrt 7 from the top left numer to get the ottom right numer. 70 to 80. 85 to 95. 110 to 120. 140 to 150. Stuent Booklet: Mthemtis Setion 2 17
27. Simy s Gre 6 lss hs 25 stuents. The teher tells her tht this is 4% of the entire shool s stuent popultion. How mny stuents re in her shool? 100 150 600 625 28. Whih of the following esriptions is orret? 7 6 29. A numer ue is tosse n oin is flippe. Using the tree igrm, etermine whih of the following events is most likely to our. 1 2 3 4 5 6 Hes Tils Hes Tils Hes Tils Hes Tils Hes Tils Hes Tils 5 Tils ppers on the oin. 4 3 Hes ppers on the oin, n 4 ppers on the numer ue. 2 A 3 ppers on the numer ue. 1 0 1 2 3 4 5 6 7 8 9 Hes ppers on the oin, n 3 ppers on the numer ue. The point (6, 2) is outsie the irle n outsie the prllelogrm. The point (6, 2) is insie the irle n outsie the prllelogrm. The point (6, 2) is outsie the irle n insie the prllelogrm. The point (6, 2) is insie the irle n insie the prllelogrm. 18 Setion 2 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
30. A eprtment store s sles for one week re liste elow. Clothing $3240.00 Cosmetis $900.00 Hrwre $2521.00 Applines $583.00 Other $1011.00 Estimte the totl sles for the week. Explin your estimtion strtegy. My estimte is. Stuent Booklet: Mthemtis Setion 2 19
3 31. Connor sttes tht, for oth igrms, the she prts represent of the whole figure. 8 Is Connor orret? Justify your nswer. 20 Setion 2 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
32. Linsy is utting tringles to use in mking some pper rfts. She noties tht some of the tringles re extly the sme. A 60 G 30 6 H N B 6 30 C K 50 60 J L 6 20 D 30 7 E 7 P 70 S 40 F M Fin the ongruent tringles. Justify your nswer. Stuent Booklet: Mthemtis Setion 2 21
33. A. J. noties pttern in the vertil posts n horizontl ors in his fene. He ounts the numer of vertil posts, then sutrts one n multiplies y two to fin the numer of horizontl ors. Fill in the tle elow to show the numer of horizontl ors. Numer of Vertil Posts Numer of Horizontl Bors 2 3 4 5 22 Setion 2 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
34. Gry n Chris reor the numer of rs tht pss their houses over 5 ys. The results re shown elow. Numer of Crs Pssing Gry s n Chris Houses 20 18 16 Numer of Crs 14 12 10 8 6 4 2 0 Gry Chris Gry sys tht eh y the numer of rs tht pss his house is t lest two times the numer of rs tht pss Chris house. Is Gry orret? 1 2 3 4 5 Dy Explin your nswer. Stuent Booklet: Mthemtis Setion 2 23
35. The tringle shown in the gri is rotte out point 0 y 90 in lokwise iretion. Wht is its new position? 0 Strting Position 36. Anrew hs $20 in nikels. He gives $3.75 to his sister n $1.15 to his grnm n he spens $0.65. How mny nikels oes he hve left? 237 289 14.45 0.7225 37. 1 1 22 333 + + =? 22 333 0 0 0 * 1 3 6 356 38. Smit types 5400 wors per hour. How mny wors oes she type per minute? 1.5 wors per minute 90 wors per minute 60 wors per minute 5400 wors per minute 0 24 Setion 2 Gre 6 Assessment of Reing, Writing n Mthemtis, 2004 2005
39. Whih numer est ompletes the pttern elow? 2, 5, 11, 23, 47, 95, 142 190 191 192 40. Mrk oes survey on fvourite vegetles in his lss. The grph represents the response t. Stuent Votes for Fvourite Vegetles Celery 41. Wht is the lest ommon multiple for 6 n 10? 20 30 40 60 42. Alonzo s uils him snox tht mesures 2.5 m long, 2 m wie n 0.5 m eep. 2.5 m 0.5 m Whih vegetle ws hosen y out 25% of the lss? Crrots Pottoes orn pes rrots pottoes Pes Corn Brooli 2 m How muh sn oes Alonzo nee to fill his snox to the top? 5 m 3 9 m 3 2.5 m 3 5.5 m 3 STOP Stuent Booklet: Mthemtis Setion 2 25