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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

xº

70º

äÉq«°VÉjôdG øeÉãdG ∞°üdG

2

? 34

_ 13

:á«dÉqàdG IQÉÑ©dG œÉf Ée 1

47 CG

27 Ü

512

ê

21

O

?Q = 9h r = 2 âfÉc GPEG p áª«b Ée 2

10 CG

10 14

Ü

17 ê

34 12 O

?x˚ áª«b Ée ,ÚbÉ q°ùdG …hÉ°ùàe ås∏ãŸG Gòg ‘ 3

20 CG

40 Ü

55 ê

70 O

p = r4

(7 + 3Q)


3

?ÈcC’G ƒg OóY q…CG 4

2.3 × 10-1 CG

0.203 Ü

0.023 ê

2.029 × 10-1 O

.óMGh ´ƒÑ°SCG ‘ O’hCG 5 É¡°S nQÉe »àqdG áq«°VÉj qôdG øjQÉªqàdG äÉYÉ°S OóY √ÉfOCG IóªYC’ÉH qÊÉ«ÑdG π«ãªqàdG uÚÑoj 5

?∂dÉe øY IOÉjR ójôa ¢S nQÉe á°VÉj qôdG øe áYÉ°S ºc

4 CG 5 Ü 6 ê

10 O

.‹É©dG õØ≤dG áÑ©d ‘ AÉbó°UCG áKÓK ¢ùnaÉæJ 6

.145 cm ¤ƒŸG óÑY õØb

.138 cm π°ü«a õØb

.128 cm π«∏N õØb

?äGõØ≤dG ´ÉØJQG ( q»HÉ°ù◊G § u°SƒàŸG) ∫ só©e Ée

135 cm CG137 cm Ü138 cm ê

139 cm O

Grade 8 Mathematics

3

4 Whichnumberislargest?

A 2.3310–1

B 0.203C 0.023D 2.029310–1

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


4

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.GkÎeƒ∏«c 17 QÉ£ŸGh ‹õæe ÚH áaÉ°ùŸG ≠o∏ÑJ .√RÉàéj Îeƒ∏«c qπc øY ºgGQO 3h Ö∏ q£dG óæY ºgGQO 5 IôLCG IQÉq«°S ≥FÉ°S ≈°VÉ≤àj 8

?QÉ£ŸG ¤EG ∫õæŸG øe IôLC’G IQÉq«°ùH ∫É≤àf’G áØ∏c ≠o∏ÑJ ºc

É kªgQO 17 × (5 + 3) CG

É kªgQO (17 × 3) + 5 Ü

ºgGQO 5 × (3 + 17) ê

ºgGQO 3 × (5 + 17) O

?Ös©μŸ áμÑ°T ¢ù«d äÉ£ s£îŸG √òg øe q…CG 9

:ƒg 99 Oó©∏d q»Ñ«©μàdG Qò÷G 10

5h 2 ÚH CG

15h 5 ÚH Ü

30h 15 ÚH ê

30 øe ÈcCG O


5

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?∫õæŸG IódÉN äQnOÉZ âbh q…CG ‘

7.08 am CG

7.15 am Ü

6.48 am ê

6.58 am O

?t3 – t2 :áª«b Éªa ,tt = 5 âfÉc GPEG 12

1 CG

5 Ü

25 ê

100 O

.AB = AC √ÉfOCG º°S qôdG ‘ 13

?z áª«b Ée

115º CG

120º Ü

125º ê

130º O

Grade 8 Mathematics

5

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

WhattimedidKhalidaleavehome?

A 7.08amB 7.15amC 6.48amD 6.58am

12 Ift=5,whatisthevalueoft3–t2?

A 1B 5C 25D 100

13 Inthediagram,AB=AC.Whatisthevalueofz?

A 115ºB 120ºC 125ºD 130º

130º

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� – 2�79 = 4�37

731� – 2�79 = 4�37


6

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?á∏àc ÈcCG ÉkãjóM OƒdƒŸG ô¡qædG ¢Sôa Ö n°ùàcG ´ƒÑ°SCG q…CG ‘

ƒ«dƒj 19h ƒ«dƒj 12 ÚH CG

¢ù£°ùZCG 2h ƒ«dƒj 26 ÚH Ü

¢ù£°ùZCG 16h ¢ù£°ùZCG 9 ÚH ê

ÈªàÑ°S 6h ¢ù£°ùZCG 30 ÚH O

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CÉ£ÿG õe qôdG É¡«a Q sôμàj å«M ,√ÉfOCG áq«°VÉjôdG á∏ª÷G á°TÉ q°ûdG ≈∏Y ô n¡¶J ,ìôW áq«∏ªY AGôLE’ áÑ°SÉ◊G ádB’G Ω póîà°ùJ ÉeóæY .äG qôe çÓK

? õe qôdG áª«b Ée

0 CG

2 Ü

6 ê

8 O


7

.áqÑM 20 É¡qfCG äó nLƒa ádhGôØdG äÉqÑM ä sóY .ádhGôØdG øe ΩGôZƒ∏«c ∞°üf ióf änÎ°TG 16

?ádhGôØdG øe IóMGh áqÑM á∏àμd q»HÉ°ù◊G § u°SƒàŸG Ée

20 g CG

25 g Ü

40 g ê

50 g O

.áØ p∏àfl RƒeQ áKÓK ,á«dÉqàdG çÓqãdG áqjOó©dG πª÷G ø sª°†àJ 17

.ôNB’G øY ÉkØ p∏àfl G kOóY õeQ qπc πuã oÁ

+ + = ☺☺ + ☺ = ☺ + = 36

? õe qôdG ¬∏uã oÁ …òqdG Oó©dG Ée

4 CG

6 Ü

9 ê

12 O

.É k°SCGQ 12 ¬d πμ°T ƒg IóYÉ≤dG q»°SGó°S Qƒ°ûæŸG 18

?¬ahôMh Qƒ°ûæŸG Gòg √ƒLh OóY Ée

ÉkaôM 12h √ƒLh 6 CG

ÉkaôM 18h √ƒLh 8 Ü

ÉkaôM 18h √ƒLh 6 ê

ÉkaôM 12h √ƒLh 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


8

. oQ oõ÷G ióMEG á£jôN ∂«dEG 19

?Iôjõ÷G √òg áMÉ°ùe Ée

É k©sHôe GkÎeƒ∏«c 14 øe ô¨°UCG CG

É k©sHôe GkÎeƒ∏«c 16 hCG 15 Ü

É k©sHôe GkÎeƒ∏«c 18 hCG 17 ê

É k©sHôe GkÎeƒ∏«c 18 øe ÈcCG O

.Ò«¨J ¿hO S Oó©dG áª«b ≈≤ÑJ .án≤∏ nM πμ°T ≈∏Y áqjOóY á∏ªL § s£îŸG uÚÑoj 20

?S áª«b Ée

5 CG

10 Ü

13 ê

21 O

?4 Oó©∏d ∞ nYÉ°†e ƒg á«dÉqàdG OGóYC’G øe q…CG 21

614 CG

164 Ü

194 ê

914 O


9

?»£«£îsàdG º°S qôdG Gòg ‘ z˚ áª«b Ée 22

47 CG

51 Ü

57 ê

61 O

?5(3a – 3b) –3(a – b) :IQÉÑ©∏d πμ°T §°ùHCG Ée 23

5a – 12b CG

5a – 18b Ü

12a – 12b ê

12a – 18b O

24

.áªFÉb ÉjGhR »g º°S qôdG ‘ ÉjGh qõdG qπc

?πμ q°ûdG Gòg §«fi Ée

46 cm CG

54 cm Ü

64 cm ê

68 cm O

Grade 8 Mathematics

9

22 Whatisthevalueofzinthisdiagram?

A 47B 51C 57D 61

23 Whatisasimplerformoftheexpression:5(3a–3b)–3(a–b)?

A 5a–12bB 5a–18bC 12a–12bD 12a–18b

24Alltheanglesinthisfigurearerightangles.

Whatisitsperimeter?


Grade 8 Mathematics

3

5 Which one of these is a prime number?

A 85

B 87

C 89

D 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 + 2

C 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 47

B 51

C 57

D 61

cd

Diagram not to scale

zº

82º 133º

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


10

.»ÑX ƒHCG ‘ áæ q°ùdG ∫ÓN É¡HhôZh ¢ùª q°ûdG ¥höT äÉbhCG √ÉfOCG qÊÉ«ÑdG π«ãªsàdG uÚÑoj 25

?Ωƒj ∫ƒWCG ‘ QÉ¡qædG äÉYÉ°S OóY Ée

äÉYÉ°S 10 CG

áYÉ°S 11 Ü

áYÉ°S 14 ê

áYÉ°S 19 O

?0.12 πuã oÁ …òqdG öùμdG Ée 26

CG

Ü

ê

O

1190

1199

1290

1299


11

.Ú¡HÉ°ûàe Úq«°SÉªN Ú©s∏°†e IQƒ q°üdG uÚÑoJ 27

.29 cm2 »g ABCDE q»°SÉªÿG ™s∏°†ŸG áMÉ°ùe

?πs∏¶ŸG Aõ÷G áMÉ°ùe Ée

87 cm2 CG

232 cm2 Ü

261 cm2 ê

290 cm2 O

?(6, 4) h (–3,1) Úà£≤qædG ∫ÓN øe qôÁ …òqdG º«≤à°ùŸG q§ÿG ádOÉ©e Ée 28

CG

Ü

ê

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=x–6C y=3x+2D y=3x–2

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


12

AP = PYh BAP = PYX √ÉfOCG »£«£îsàdG º°S qôdG ‘ 29

?PX ∫ƒW Ée

9 cm CG

10 cm Ü

11 cm ê

20 cm O

.ÚæKG ´Ó°VCG »jRGƒàe øe ¿ sƒμe V q…ôXÉæqàdG πμ q°ûdG Gòg 30

?πμ q°ûdG áMÉ°ùe Ée

30 cm2 CG

48 cm2 Ü

64 cm2 ê

80 cm2 O


13

.AÉŸG øe G kóMGh GkÎd ™ n°ùJh 10 cm πμ q°ûdG áq«fGƒ£°SC’G áë«Ø q°üdG √òg ´ÉØJQG o≠∏Ñj 31

?IóYÉ≤dG ô£b ∫ƒW Ée

10 π CG

20 π Ü

200π ê

200π

O

.120° Éª¡æe qπc ¢SÉ«b ¿ÉàjhGR ABCDE q»°SÉªÿG ™s∏°†ŸG ‘ 32

.¢SÉ«≤dG ájhÉ°ùàe á«bÉÑdG çÓqãdG ÉjGh qõdG

.(¢SÉ«≤∏d ™°VÉN ÒZ πμ q°ûdG) .ájhÉ°ùàe q»°SÉªÿG ™s∏°†ŸG Gòg ‘ á°ùªÿG ´Ó°VC’G ∫GƒWCG

?x° áª«b Ée

20 CG

30 Ü

35 ê

40 O

Grade 8 Mathematics

13

31Thiscylindricalcanhasaheightof10cm.Itholds1litreofwater.

Whatisthediameterofthebase?

A

B

C

D

32TwooftheanglesinpentagonABCDEare120º.Theother3anglesareallequal.All5sidesofthepentagonarethesamelength.

Whatisthevalueofx?

A 20B 30C 35D 40

10 cm

10π

20π

200π

200π

A

B

CD

E 120º

xº

120º

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–(p–2)2

D t=(p+1)2–p2

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

A mean<median<modeB mode<mean<medianC median<mode<meanD mode<median<mean

36 Whichoftheseisthenetofaprism?

Pattern 1

Pattern 2

Pattern 3

A B C D


14

?1 716 Oó©∏d q‹ qhCG πeÉY ÈcCG Ée 33

7 CG

11 Ü

13 ê

17 O

:¿ƒμ«a Ékãs∏ãe t ø sª°†àj p §ªqædG ¿Éc GPEG 34

t = 4(p + 1) – 4

t = 4(p + 1) + 4

t = p2 – (p – 2)2

t = (p + 1)2 – p2

CG

Ü

ê

O

{1, 2, 2, 3, 5, 7, 8} :äÉfÉ«ÑdG áYƒª› ‘ 35

∫GƒæŸG > §«°SƒdG > q»HÉ°ù◊G § u°SƒàŸG CG

§«°SƒdG > q»HÉ°ù◊G § u°SƒàŸG > ∫GƒæŸG Ü

q»HÉ°ù◊G § u°SƒàŸG > ∫GƒæŸG > §«°SƒdG ê

q»HÉ°ù◊G § u°SƒàŸG > §«°SƒdG > ∫GƒæŸG O

?Qƒ°ûæŸ áμÑ°T ƒg á«dÉqàdG ∫Éμ°TC’G øe q…CG 36

O ê Ü CG


15

?á«dÉqàdG OGóYC’G q…CG øe 15% …hÉ°ùoJ 9 37

45 CG

54 Ü

60 ê

135 O

.24 ƒg eh dh ch bh a OGóYCÓd q»HÉ°ù◊G § u°SƒàŸGh .10 ƒg ch bh a OGóYCÓd q»HÉ°ù◊G § u°SƒàŸG 38

?e h d `d q»HÉ°ù◊G § u°SƒàŸG Ée

21 CG

14 Ü

90 ê

45 O

?x˚ áª«b Ée 39

18 CG

36 Ü

58 ê

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

18º

xº

xº

Grade 8 Mathematics

16

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


16

.øjQƒëŸG ≈∏Y ¢ù«jÉ≤e ΩGóîà°SG ¿hO q»KGóME’G iƒà°ùŸG ‘ áª«≤à°ùŸG •ƒ£ÿG √òg âª p°S oQ 40

:»∏j Éªc »gh Ö«J qÎdÉH áYƒ°Vƒe IQh qö†dÉH â°ù«d Rh Qh P áª«≤à°ùŸG •ƒ£ÿG ä’OÉ©e

y = 2x + 2

y = 2x – 2

y = –2x + 2

(1)

(2)

(3)

?∫hó÷G ≈∏Y áª«≤à°ùŸG •ƒ£î∏d í«ë q°üdG Ö«J qÎdG ƒg Ée

PQR

CG(1)(2)(3)

Ü(2)(1)(3)

ê(3)(2)(1)

O(3)(1)(2)