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Mathematics

Grade

TEST INSTRUCTIONS

Pleasemakesurethatyouhaveaseparateanswersheetwiththistestpaper.

Pleasecheckthattheanswersheethasyourdetailsprintedonit.Ifnot,printyournameanddateofbirthonyouranswersheetintheareaprovided.

Pleasecheckthatthesubjectandgradenumberonyouranswersheetmatchesthisquestionpaper.

Thistesthas40 QUESTIONS.Eachquestionhasfourpossibleanswers.Onlyoneiscorrect.

Pleaseuseapencilonlytoshadeintheanswerbubbleofyourchoiceonyouranswersheet.

ChoosethecorrectanswerfromA,B,CorDandshadethisbubbleinonyourMATHEMATICS ANSWER SHEET.

Ifyoumakeamistakethenruboutyouranswercompletelyandshadeinthebubbleofyournewanswer.

AllanswersmustbemarkedonyourANSWER SHEET.Youareallowed1 hour and 10 minutesforthistest.

May 2010

External Measurement of Student Achievement

Grade 8 Mathematics

2

1 Whatistheresultoftheexpression ?

A

B

C

D

2 p=(7+3Q)Whatisthevalueofpwhenr=2andQ=9?

A 10

B 10

C 17

D 34

3Inthisisoscelestriangle,whatisthevalueofx?

A 20B 40C 55D 70

47

r4

27

14

12

512

21

1 3

3 4

x

70

qVjdG edG dG

2

? 34

_ 13

:dqdG IQdG f e 1

47 CG

27

512

21

O

?Q = 9h r = 2 fc GPEG p b e 2

10 CG

10 14

17

34 12 O

?x b e ,b qdG he sG Gg 3

20 CG

40

55

70 O

p = r4

(7 + 3Q)

qVjdG edG dG

3

?cCG g OY qCG 4

2.3 10-1 CG

0.203

0.023

2.029 10-1 O

.MGh SCG OhCG 5 S nQe qdG qVj qdG jQqdG YS OY fOCG IYCH qdG qdG uoj 5

?de Y IOjR ja S nQe Vj qdG e YS c 4 CG

5 6

10 O

.dG dG d AbUCG KK naJ 6

.145 cm G Y b

.138 cm a b

.128 cm N b

?GdG JQG ( qHG uSG) se e

135 cm CG137 cm 138 cm

139 cm O

Grade 8 Mathematics

3

4 Whichnumberislargest?

A 2.33101

B 0.203C 0.023D 2.0293101

5 Thebargraphbelowshowsthenumberofhoursofsportplayedby5boysinoneweek.

HowmanymorehoursdidFariqplaysportthandidMalik?

A 4B 5C 6D 10

6 Threefriendscompetedinahighjumpcontest.Abduljumped145cm.Faisaljumped138cm.Kahiljumped128cm.

Whatwastheaverage(mean)heightjumped?

A 135cmB 137cmC 138cmD 139cm

14

12

10

8

6

4

2

0Awad Fariq Habib

Time(hours)

Jamal Malik

Grade 8 Mathematics

4

7 Lookatthistriangularprism.Whichoneofthefollowingnetscanbeusedtomakethistriangularprism?

8 Ataxicharges5Dhsforthecallandthen3Dhsforeachkilometretravelled.Thedistancefrommyhometotheairportis17kilometres.

Totakeataxifromhometotheairportwouldcost

A (5+3)317DhsB 5+3317DhsC (3+17)35DhsD (5+17)33Dhs

9 Whichofthesediagramsisnotanetofacube?

10 Thecuberootof99is

A between2and5.B between5and15.C between15and30.D morethan30.

A B C D

A B C D

A B C D

qVjdG edG dG

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?QG EG G e ILCG IQqH fG c oJ c

kgQO 17 (5 + 3) CG

kgQO (17 3) + 5

gGQO 5 (3 + 17)

gGQO 3 (5 + 17) O

?s T d sG g e qCG 9

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5h 2 H CG

15h 5 H

30h 15 H

30 e cCG O

qVjdG edG dG

5

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7.08 am CG

7.15 am

6.48 am

6.58 am O

?t3 t2 :b a ,tt = 5 fc GPEG 12

1 CG

5

25

100 O

.AB = AC fOCG S qdG 13

?z b e115 CG

120

125

130 O

Grade 8 Mathematics

5

11 IttookKhalida7minutestowalktothebusstop.Shewaited4minutesforthebus.Thebustriptoschooltook43minutes,arrivingatschoolat8.02am.

WhattimedidKhalidaleavehome?

A 7.08amB 7.15amC 6.48amD 6.58am

12 Ift=5,whatisthevalueoft3t2?

A 1B 5C 25D 100

13 Inthediagram,AB=AC.Whatisthevalueofz?

A 115B 120C 125D 130

130

A

B

Cz

Grade 8 Mathematics

6

14 AhippopotamuswasbornJuly5.Thegraphshowsthechangesinmassforthefirst9weeksofitslife.

Whichweekdidthebabyhippopotamusgainthemostmass?

A betweenJuly12and19.B betweenJuly26andAugust2.C betweenAugust9and16.D betweenAugust30andSeptember6.

15 Thewayadigitisdisplayedonacalculatoriswrong.Whenasubtractioniskeyedintoitthedisplaylookslikethis.Theincorrectsymbolisshownthreetimes.Whatisthevalueofthesymbol?

A 0B 2C 6D 8

60

50

40

30

20

10

0

Mas

s (k

g)

Date

Mass of Baby Hippopotamus (first 9 weeks)

5/7 12/7 19/7 26/7 2/8 9/8 16/8 23/8 30/8 6/9

731 279 = 437

731 279 = 437

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?c cCG kjM OdG qdG Sa ncG SCG qCG

dj 19h dj 12 H CG

ZCG 2h dj 26 H

ZCG 16h ZCG 9 H

S 6h ZCG 30 H O

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0 CG

2

6

8 O

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7

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20 g CG

25 g

40 g

50 g O

. pfl ReQ KK ,dqdG qdG qjOdG G sJ 17

.NBG Y k pfl G kOY eQ qc u o

+ + = + = + = 36

? e qdG u o qdG OdG e

4 CG

6

9

12 O

. kSCGQ 12 d T g IYdG qSGS QG 18

?ahMh QG Gg Lh OY e

kaM 12h Lh 6 CG

kaM 18h Lh 8

kaM 18h Lh 6

kaM 12h Lh 8 O

Grade 8 Mathematics

7

16 Nadaboughthalfakilogramofstrawberries.Shecountedthestrawberriesandfoundshehad20.

Whatistheaveragemassofastrawberry?

A 20gB 25gC 40gD 50g

17 Thethreenumbersentencescontainthreedifferentsymbols.Eachsymbolcorrespondstoadifferentnumber.Whatnumberdoestherepresent?

A 4B 6C 9D 12

18 Ahexagonalprismisashapewhichhas12vertices.

Howmanyfacesandedgesdoesithave?

A 6facesand12edgesB 8facesand18edgesC 6facesand18edgesD 8facesand12edges

+ + =

+ =

+ = 36

+ + =

+ =

+ = 36

Grade 8 Mathematics

8

19 Hereisamapofanisland.Whatistheareaoftheisland?

A lessthan14squarekilometresB 15or16squarekilometresC 17or18squarekilometresD morethan18squarekilometres

20 Thediagramshowsanumbersentenceintheformofacycle.ThenumberSreturnsunchanged.WhatisthevalueofS?

A 5B 10C 13D 21

21 Whichoneofthesenumbersisamultipleof4?

A 614B 164C 194D 914

1 km

S 3

3 9

9

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8

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?IjG g Me e

ksHe Gkec 14 e UCG CG

ksHe Gkec 16 hCG 15

ksHe Gkec 18 hCG 17

ksHe Gkec 18 e cCG O

.J hO S OdG b J .n nM T Y qjOY L sG uoj 20

?S b e

5 CG

10

13

21 O

?4 Od nYe g dqdG OGYCG e qCG 21614 CG

164

194

914 O

qVjdG edG dG

9

?sdG S qdG Gg z b e 22

47 CG

51

57

61 O

?5(3a 3b) 3(a b) :IQd T HCG e 235a 12b CG

5a 18b

12a 12b

12a 18b O

24

.Fb jGhR g S qdG jGh qdG qc

? qdG Gg fi e

46 cm CG

54 cm

64 cm

68 cm O

Grade 8 Mathematics

9

22 Whatisthevalueofzinthisdiagram?

A 47B 51C 57D 61

23 Whatisasimplerformoftheexpression:5(3a3b)3(ab)?

A 5a12bB 5a18bC 12a12bD 12a18b

24Alltheanglesinthisfigurearerightangles.

Whatisitsperimeter?


Grade 8 Mathematics

3

5 Which one of these is a prime number?

A 85B 87C 89D 91

6 If a = 5, b = 3, c = 8 and d = 4 then the value of ( + b) is the same as the value of

A 7aB a + 2C aD 3a

7 For a maths project, Ahmed measured the areas of six classrooms. The results are shown in this table.

What is the average (mean) area of these classrooms?

A 183 m2

B 195 m2

C 215 m2

D 234 m2

8 What is the value of z in this diagram?

A 47B 51C 57D 61

cd

Diagram not to scale

z

82 133

8 cm

8 cm

4 cm

14 cm

12 cm

Grade 8 Mathematics

10

25 ThetimesofsunriseandsunsetthroughtheyearatAbuDhabiareshowninthegraphbelow.Whatisthenumberofhoursofdaylightforthelongestday?

A 10hoursB 11hoursC 14hoursD 19hours

26 Whatis0.12asafraction?

A

B

C

D

8 pm

3 pm

10 am

5 am

Jan 1 Apr 1 Jul 1 Oct 1

Sunset

Sunrise

1190

1199

1290

1299

qVjdG edG dG

10

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?j WCG QqdG YS OY e

YS 10 CG

YS 11

YS 14

YS 19 O

?0.12 u o qdG dG e 26

CG

O

1190

1199

1290

1299

qVjdG edG dG

11

.He qSN se IQ qdG uoJ 27

.29 cm2 g ABCDE qSG sG Me

?sG AG Me e

87 cm2 CG

232 cm2

261 cm2

290 cm2 O

?(6, 4) h (3,1) qdG N e q qdG G qG dOe e 28 CG

O

3y = x + 6

3y = x 6

y = 3x + 2

y = 3x 2

Grade 8 Mathematics

11

27 Thetwopentagonsshownaresimilar.

TheareaofpentagonABCDEis29cm2.Whatistheareaoftheshadedpart?

A 87cm2

B 232cm2

C 261cm2

D 290cm2

28 Whatistheequationofthestraightlinethatpassesthroughthepoints(3,1)and(6,4)?

A 3y=x+6B 3y=x6C y=3x+2D y=3x2

A

B

CD 4 cm

12 cm

E

Grade 8 Mathematics

12

29 Inthediagrambelow,BAP=PYXandAP=PY.WhatisthelengthofPX?


30Thissymmetrical'V'shapeismadefrom2parallelograms.

Whatisitsarea?

A 30cm2

B 48cm2C 64cm2

D 80cm2

A

B Y

X

P11 cm

9 cm

10 cmNot to scale

10 cm

4 cm

16 cm

qVjdG edG dG

12

AP = PYh BAP = PYX fOCG sdG S qdG 29

?PX W e

9 cm CG

10 cm

11 cm

20 cm O

.KG VCG jRGe e se V qXqdG qdG Gg 30? qdG Me e

30 cm2 CG

48 cm2

64 cm2

80 cm2 O

qVjdG edG dG

13

.AG e G kMGh Gkd nJh 10 cm qdG qfGSCG qdG g JQG oj 31

?IYdG b W e

10 CG

20

200

200

O

.120 e qc Sb jhGR ABCDE qSG sG 32

.SdG jhe bdG qdG jGh qdG

.(Sd VN Z qdG) .jhe qSG sG Gg G VCG GWCG

?x b e

20 CG

30

35

40 O

Grade 8 Mathematics

13

31Thiscylindricalcanhasaheightof10cm.Itholds1litreofwater.

Whatisthediameterofthebase?

A

B

C

D

32TwooftheanglesinpentagonABCDEare120.Theother3anglesareallequal.All5sidesofthepentagonarethesamelength.

Whatisthevalueofx?

A 20B 30C 35D 40

10 cm

10

20

200

200

A

B

CD

E 120

x

120

Grade 8 Mathematics

14

33 Whatisthelargestprimefactorof1716?

A 7B 11C 13D 17

34Iftherearettrianglesinpatternp,then

A t=4(p+1)4B t=4(p+1)+4C t=p2(p2)2

D t=(p+1)2p2

35 Forthesetofdata{1,2,2,3,5,7,8}

A mean GG O

?Q T g dqdG TCG e qCG 36

O CG

qVjdG edG dG

15

?dqdG OGYCG qCG e 15% hoJ 9 3745 CG

54

60

135 O

.24 g eh dh ch bh a OGYCd qHG uSGh .10 g ch bh a OGYCd qHG uSG 38

?e h d `d qHG uSG e

21 CG

14

90

45 O

?x b e 39

18 CG

36

58

72 O

Grade 8 Mathematics

15

37 9is15%ofwhichnumber?

A 45B 54C 60D 135

38 Themeanofa,bandcis10.Themeanofa,b,c,dandeis24.

Whatisthemeanofdande?

A 21B 14C 90D 45

39Whatisthevalueofx?

A 18B 36C 58D 72

18

x

x

Grade 8 Mathematics

16

40Thesegraphshavebeendrawnwithoutscalesontheaxes.TheequationsofthelinesP,QandR,notnecessarilyinmatchingorderare: (1) y=2x+2 (2) y=2x2 (3) y=2x+2

Whatarethecorrectlabelsforthegraphs?

P Q RA (1) (2) (3)B (2) (1) (3)C (3) (2) (1)D (3) (1) (2)

x

y

PQ

R

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16

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:j c gh J qdH YVe IQh qdH d Rh Qh P G G Oe

y = 2x + 2

y = 2x 2

y = 2x + 2

(1)

(2)

(3)

?hG Y G d qdG J qdG g e

PQR

CG(1)(2)(3)

(2)(1)(3)

(3)(2)(1)

O(3)(1)(2)