Grade 6. Mathematics. Student Booklet SPRING 2011 RELEASED ASSESSMENT QUESTIONS. Record your answers on the Multiple-Choice Answer Sheet.

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1 Grde 6 Assessment of Reding, Writing nd Mthemtics, Junior Division Student Booklet Mthemtics SPRING 211 RELEASED ASSESSMENT QUESTIONS Record your nswers on the Multiple-Choice Answer Sheet. Plese note: The formt of this ooklet is different from tht used for the ssessment. The questions themselves remin the sme.

2 Mthemtics Section 1

3 Grde 6, Spring 211 Mthemtics 1 Consider the pttern elow. 7, 14, 28, 56,, 224 Wht is the missing term in this pttern? c 112 d Jco pints the outside of the rectngulr prism elow, except for the ottom. 3 Look t Tringle 2 in the following design. Which tringle shows Tringle 2 fter rottion of 18 out the centre point? Tringle 1 Tringle 2 c Tringle 3 d Tringle cm 9 cm 3 cm Wht is the totl re tht he pints? 18 cm cm 2 c 132 cm 2 d 15 cm 2 Student Booklet: Mthemtics 3

4 Mthemtics Grde 6, Spring The following grph shows the fvourite sujects of some Grde 6 students. Numer of students Fvourite Sujects of Grde 6 Students Science Art Music Suject French Lnguge 5 Every week, Dnny ets 54 grms of cerel. Over 8 weeks, he finishes totl of 12 oxes of cerel. Ech ox contins the sme mount of cerel. How mny grms of cerel re in ech ox? c 432 d Mnny uses tiles to uild the geometric pttern shown elow. Girls Key Boys Stge 1 Stge 2 Stge 3 Bsed on the dt in the grph, which of the following sttements is true? c d Most oys chose science s their fvourite suject. Science is the lest fvourite suject of these students. French is the fvourite suject of twice s mny students s music. Twice s mny girls chose music s chose rt s their fvourite suject. Which of the following represents the numer of squres in Stges 4, 5 nd 6 of Mnny s pttern? 17, 24, 31 13, 17, 24 c 13, 17, 21 d 12, 16, 2 4 Student Booklet: Mthemtics

5 Grde 6, Spring 211 Mthemtics 7 The tle elow shows the chnges in the mount of snow on the ground over 1 dys. Ali estimtes tht the totl chnge is n increse of 3 cm. Ndi estimtes tht the totl chnge is n increse of 25 cm. Dy Chnge 15 cm new snow 7.5 cm new snow no chnge 4.5 cm melted 3.5 cm melted 4 cm melted no chnge 12 cm new snow 2.5 cm new snow 8 cm new snow Which student mkes more ccurte estimte? Circle one: Ali Ndi Justify your nswer. Student Booklet: Mthemtics 5

6 Mthemtics Grde 6, Spring Consider how 3 is written elow s the product of prime numers Write 168 s the product of prime numers. Show your work. 6 Student Booklet: Mthemtics

7 Grde 6, Spring 211 Mthemtics 9 Dkot nd Bryn count their coloured pper clips nd record the results in the tle elow. Colour Red Yellow Blue Dkot Bryn White 17 2 They put ll of the pper clips in ox. Dkot chooses one pper clip from the ox without looking. Determine the proility tht Dkot chooses red pper clip. Show your work. Student Booklet: Mthemtics 7

8 Mthemtics Grde 6, Spring 211 Lim cretes shpe using the ordered pirs A(1, 4), B(1, 8), C(4, 8) nd D(6, 4). Drw Limʼs shpe on the grid elow. y x Drw shpe on the grid tht is congruent to Limʼs. Strt with the ordered pirs E(7, 6) nd F(7, 1). Write the coordintes of your shpeʼs other 2 vertices. (, ) (, ) 8 Student Booklet: Mthemtics

9 Grde 6, Spring 211 Mthemtics Consider the line segment elow. d The following grphs show the pttern for tringle tht grows in size. Which of the following is closest to its length? c d 3.7 cm 4.2 cm 47 mm 57 mm y Y X Tringle 1 Z 5 1 x s Wht is the men of set of dt? c the vlue tht occurs most often the middle vlue when the set is rrnged in order the difference etween the lrgest nd the smllest vlues y Y X Tringle 2 Z 5 1 x d the result of dding ll the vlues nd dividing y the numer of vlues 8 6 y Y Tringle X 5 Z 1 x y Tringle X 5 1 x If the pttern continues, wht will e the coordintes of Y nd Z for Tringle 4? Y(8, 3) Z(2, 1) Y(3, 8) Z(1, 2) c Y(3, 8) Z(11, 2) d Y(8, 3) Z(2, 11) Student Booklet: Mthemtics 9

10 Mthemtics Grde 6, Spring 211 f Consider the eqution elow. 5 3 n Wht is the vlue of n in this eqution? 3 4 c 15 d 17 g Consider the prllelogrm elow. 3 cm Which expression cn e used to find the re, in squre centimetres, of this prllelogrm? c cm d cm h The mesurements of tringulr prism re shown elow in centimetres. 6 cm 5 cm 1 cm One fce hs n re of 12 cm 2. Another fce hs n re of 6 cm 2. Wht re the res, in cm 2, of the remining 3 fces? 12, 12, 5 12, 12, 6 c 12, 5, 5 d 12, 6, 6 j Consider the numer line elow. x Wht vlue does x represent? c d Student Booklet: Mthemtics

11 Grde 6, Spring 211 Mthemtics k The tle elow shows dt out prticipting in school sports. c School Sports Sport Volleyll Hockey Soccer Bsketll School Sports Numer of oys Which grph represents this dt? School Sports Numer of girls Numer of students Volleyll Hockey Soccer Sport Bsketll 35 Boys Girls Numer of students Numer of students Volleyll Volleyll Hockey Boys Hockey Soccer Sport Soccer Sport Bsketll Girls School Sports Bsketll d Numer of students Volleyll School Sports Hockey Soccer Bsketll Sport Boys Girls Boys Girls Student Booklet: Mthemtics 11

12 Mthemtics Section 2

13 Grde 6, Spring 211 Mthemtics l Which shpe elow hs n re of 12 cm 2? 2 cm 6 cm s Derek mkes numer cue. The theoreticl proility of rolling multiple of 3 on his numer cue is 5 6. Which set of numers could e on the fces of Derek s numer cue? 3 cm 1, 2, 3, 4, 5, 6 1, 3, 3, 6, 6, 6 c 3, 3, 3, 3, 3, 3 3 cm d 3, 5, 5, 5, 5, 5 c d 2 cm 4 cm 2 cm ss If nd , wht is the vlue of? 2 4 c 6 d 8 6 cm s A compny mde 1 lloons lst month nd pckged them in gs contining 1 lloons. Ech g of lloons sells for $2. How much money will the compny receive if the compny sells ll of the gs? $2 $2 c $2 d $2 Student Booklet: Mthemtics 13

14 Mthemtics Grde 6, Spring 211 sd The three-dimensionl figure elow ws uilt using cues. Top sf Ming mkes 4.8 litres of lemonde. How mny millilitres does she mke? c 48 d 48 Wht is the top view of this figure? sg The grph elow shows reltionship etween the numer of tsks Cole completes nd the numer of tokens he erns. Erning Tokens c d Numer of tokens erned Numer of tsks According to the pttern shown on the grph, how mny tsks must Cole complete to ern 16 tokens? 6 8 c 16 d Student Booklet: Mthemtics

15 Grde 6, Spring 211 Mthemtics sh Some Grde 6 students prticipte in survey out their fvourite sports. The results re shown in the tle elow. Complete the tle. Sport Hockey Soccer Bsketll Numer of students Percent of students Volleyll 3 Complete the grph elow using the percents. Fvourite Sports of Grde 6 Students Percent of students Hockey Soccer Bsketll Volleyll Sport Student Booklet: Mthemtics 15

16 Mthemtics Grde 6, Spring 211 sj Jckie fills the tringulr prism pictured elow with wter. Then she empties the wter into rectngulr prism. 3 cm 5 cm Determine the numer of times tht Jckie must fill the tringulr prism with wter to fill rectngulr prism tht is 1 cm long, 2 cm wide nd 12 cm high. Justify your nswer. 2 cm 16 Student Booklet: Mthemtics

17 Grde 6, Spring 211 Mthemtics sk Use the line segments AB nd BC elow to construct pentgon ABCDE with the following properties: right ngle t point C n ngle tht mesures 118 t point A side of 4.7 cm Lel ll ngles nd sides with their mesures. A 5.7 cm B 5 cm C Student Booklet: Mthemtics 17

18 Mthemtics Grde 6, Spring 211 sl Kren nd Riley crete the shrinking ptterns shown elow. Kren s Pttern Riley s Pttern Term numer Term Term numer Term Wht re their pttern rules? Kren s rule:. Riley s rule:. Which pttern will e the first to rech term smller thn 1? Justify your nswer. 18 Student Booklet: Mthemtics

19 Grde 6, Spring 211 Mthemtics d Consider the shpes elow. Equilterl tringle Rectngle Regulr pentgon Prllelogrm ds A fir numer cue with 1, 2, 3, 4, 5 nd 6 on its fces is rolled once. The dot on the numer line elow represents the proility of n event. Which list shows the shpes in order from fewest to most lines of symmetry? c Impossile Which event could e represented y this dot? rolling n odd numer rolling n even numer 1 Certin c rolling numer lrger thn 2 d rolling numer smller thn 3 d dd The mounts of wter in two continers re shown in the tle elow. Continer Amount of wter (L) d Consider the eqution elow. 3 3 m 2 3 n 5 36 Which vlues of m nd n would not mke the eqution true? m 5 2, n 5 15 m 5 4, n 5 12 c m 5 6, n 5 9 d m 5 8, n 5 7 Wht is the difference etween the mounts of wter in the continers? c d A.967 B L.865 L L L Student Booklet: Mthemtics 19

20 Mthemtics Grde 6, Spring 211 df Consider the tringulr prism pictured elow. The re of the tringulr se is 36 cm 2. The volume of the tringulr prism is 396 cm 3. Wht is the height of the tringulr prism? c d 6 cm 9 cm 11 cm 12 cm dg A recipe for fruit drink uses 1 litre of crnerry juice, 2 litres of grpe juice nd 3 litres of ornge juice. Which of the following could e represented y the rtio 3:2? c d grpe juice to ornge juice ornge juice to grpe juice grpe juice to crnerry juice crnerry juice to grpe juice dh A numer is multiplied y.1 to get product of Wht is the numer? c 236 d Student Booklet: Mthemtics

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