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Transcript of üdG External Grade 7 ÜÓ£dG π«°üëàd »LQÉÿG ¢SÉ«≤dG èeÉfôH...
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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 7 Mathematics
2
1 Whichdiagramisshaded?
2 Whichdiagonalinthisprismisthelongest?
A ACB AFC AGD AH
3 Aishastartedanumberpattern:
3, 4, 6, 9, ?
Tofindthenextnumberinherpatternsheshould:
A add4to9B add3to9C add2to9D add1to9
23
A B C D
A
E F
B
C
GH
D
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
2
?¬æe 23 π«∏¶J q” »∏j É qª`e πμ°T q…CG 1
?∫ƒWC’G ƒg Qƒ°ûæŸG Gòg ‘ ô£b q…CG 2
AC CG
AF Ü
AG ê
AH O
:»∏j ɪc q…OóY §ªæH á°ûFÉY äCG nóH 3
3, 4, 6, 9, ?
:Ö péj §ªqædG ‘ Ék«dÉJ »JCÉ«°S …òqdG Oó©dG OÉéjE’
.9 ¤EG 4 ™ nªŒ ¿CG CG
.9 ¤EG 3 ™ nªŒ ¿CG Ü
.9 ¤EG 2 ™ nªŒ ¿CG ê
.9 ¤EG 1 ™ nªŒ ¿CG O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
3
.130 cm IóMGƒdG á©£≤dG ∫ƒW ,É¡æe ™£b çÓK QƒgR ™FÉH n™£àbG .10 m §jöT áqØd ∫ƒW ≠o∏Ñj 4
?§j qöûdG áqØd øe á«u≤ÑàŸG á©£≤dG ∫ƒW Ée
6.1 m CG
7.1 m Ü
7.9 m ê
8.7 m O
.ÉkaôM 12h á©sHôe √ƒLh 6 OÉ©HC’G q»KÓK º s°ùéŸ 5
:ƒg º s°ùéŸG Gòg
Ös©μe CG
q»°SGó°S Ü
IóYÉ≤dG q»°SɪN Qƒ°ûæe ê
IóYÉ≤dG q»°SGó°S Qƒ°ûæe O
18 – 6 ÷ 2 + 1 :᪫b áqbóH Ö o°ùëj ¿CG ó«©°S ójôoj 6
?Ω póîà°ùj ¿CG ¬«∏Y IóYÉb q…CG
.Úª«dG ¤EG QÉ°ù«dG øe CG nóÑj CG
.3 ≈∏Y π°UÉ◊G º p°ù≤j qºK 18 øe 6 ì nô£j Ü
.1 ¬«dEG ∞«°†ojh 2 ≈∏Y π°UÉ◊G º p°ù≤j qºK ,18 øe 6 ì nô£j ê
.1 ¬«dEG ∞«°†oj qºK 18 øe 6 ÷ 2 ᪰ùb œÉf ì nô£j O
Grade 7 Mathematics
3
4Arollcontains10mofribbon.Afloristcutsthreepiecesfromit.Eachpieceis130cmlong.
Howmuchribbonisleftontheroll?
A 6.1mB 7.1mC 7.9mD 8.7m
5 Athree-dimensionalobjecthas6squarefacesand12edges.
Theobjectisa
A cube.B hexagon.C pentagonalprism.D hexagonalprism.
6 Saeedwantstocalculate18 – 6 4 2 + 1correctly.
Whichruleshouldheuse?
A Workfromlefttoright.B Subtract6from18,thendivideby3.C Subtract6from18,divideby2,thenadd1.D Subtracttheresultof642from18,thenadd1.
Grade 7 Mathematics
4
7 Iamaquadrilateral,and:
•Ihavenoacuteangles, •Myoppositesidesareequal.
WhatshapeamI?
A atriangleB asquareC atrapeziumD aparallelogram
8 Whichoneofthesenumbersisamultipleof4?
A 9614B 9164C 6194D 6914
9 Whichshapehasthelargestshadedarea?
10 Amalwalked2.75kilometrestotheschool.
HowmanymetresdidAmalwalk?
A 2.75mB 27.5mC 275mD 2750m
A B C D
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4
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?»∏j É qª`e ÉfCG πμ°T q…CG
ås∏ãe CG
™sHôe Ü
± pôëæe ¬Ñ°T ê
´Ó°VC’G …RGƒàe O
?4 Oó©∏d ∞ nYÉ°†e ƒg á«dÉqàdG OGóYC’G øe q…CG 8
9 614 CG
9 164 Ü
6 194 ê
6 914 O
?á∏s∏¶e áMÉ°ùe ÈcCG ¬d »∏j É qª`e πμ°T q…CG 9
.á°SQóŸG ¤EG π p°üàd Îeƒ∏«c 2.75 πeCG â n°ûe 10
?πeCG â n°ûe GkÎe ºc
2.75 m CG
27.5 m Ü
275 m ê
2 750 m O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
5
.1 cm2 äÉÑs©μŸG √òg øe ¬Lh qπc áMÉ°ùe ≠o∏ÑJ .IÒ¨°U äÉÑs©μe á°ùªN øe áeƒμdG √òg â©pæ o°U 11
?áeƒμdG √ò¡d áq«q∏μdG áMÉ°ùŸG Ée
17 cm2 CG
20 cm2 Ü
21 cm2 ê
30 cm2 O
16 – 12 ÷ 4 + 2 = 12
46 CG
64
Ü
3 ê
15 O
. 510
»g 621.53 ‘ 5 ºb qô∏d áq«fÉμŸG ᪫≤dG 13
:ƒg 3h 1 Úªb qô∏d Úàq«fÉμŸG Úફ≤dG ÚH ¥ôØdG
0.97 CG
1.03 Ü
0.07 ê
0.70 O
Grade 7 Mathematics
5
11 Thisstackismadeoffivesmallcubes.Eachfaceofasmallcubehasasurfaceareaof1cm2.Whatisitssurfacearea?
A 17cm2
B 20cm2
C 21cm2
D 30cm2
12 16 – 12 4 4 + 2 =
A
B
C 3
D 15
13 Theplacevalueofthe5in621.53is.Thedifferencebetweentheplacevaluesofthe1andthe3is:
A 0.97B 1.03C 0.07D 0.70
6 4
5 10
4 6
I II III IV
Grade 7 Mathematics
6
14 Thefourshapesbelowhavethesamearea.Whichshapehasthelargestperimeter?
15 Anappleandabananahavethesamemassas3apples.Twoapplesandabananahaveatotalmassof800grams.
Whatisthebestestimateofthemassofanapple?
A 100gB 200gC 250gD 300g
A B C D
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6
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?§«fi ÈcCG ¬d πμ°T q…CG
O ê Ü CG
.ΩGôZ 800 IRƒeh ÚàMÉqØJ á∏àc âfÉch ,äÉMÉqØJ çÓK á∏àc ¿Éj phÉ°ùoJ IRƒe á∏àch áMÉqØJ á∏àc âfÉc GPEG 15
?IóMGh áMÉqØJ á∏àμd π°†aC’G ôjó≤qàdG Ée
100 g CG
200 g Ü
250 g ê
300 g O
C
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
7
.í s°Vƒe ƒg ɪc êPƒªqæ∏d áq«eÉeC’G á¡LƒdGh áqjƒ∏©dG á¡LƒdG øe vÓc º n°SQ qºK ,êPƒ‰ ‘ ÉkÑ s©μe 11 ó«°TQ ÖsJQ 16
?êPƒªqæ∏d áq«ÑfÉ÷G á¡LƒdG ¿ƒμj ¿CG ø pμ oÁ »∏j É qª`e q…CG
:§ s£îŸG Gòg ¤EG ô o¶foG 17
.5 cm2 »g Ò¨°U ™sHôe qπc áMÉ°ùe
:»g πs∏¶ŸG ås∏ãŸG áMÉ°ùe
10 cm2 CG
15 cm2 Ü
20 cm2 ê
30 cm2 O
Grade 7 Mathematics
7
16 Rashidarranged11cubesinamodel.Thenhedrewitstopandfrontviews.Whichcouldbethesideviewofhisobject?
17 Lookatthisdiagram:Theareaofeachsmallsquareis5cm2.
Theareaoftheshadedtriangleis:
A 10cm2
B 15cm2
C 20cm2
D 30cm2
Top view Front view
A B C D
Grade 7 Mathematics
8
18 Khaliddrewamirrorimageofthisface.Whichfeaturewasnotreflectedinthemirrorimage?
A scarB noseC mouthD hat
19 Thenumber399canbewrittenasaproductofprimenumbers.
Whatisthelargestprimefactorof399?
A 19B 21C 57D 133
20 Whatisthesizeoftheanglemarkedmºinthisdiagram?
A 35ºB 45ºC 55ºD 65º
Mirror
mº
145º
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8
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?IBGôŸG ∫ÓN øe IQƒ q°üdG ‘ ¬°SÉμ©fG ô n¡¶j ⁄ A»°T q…CG
(ÖLÉ◊G) áHóædG CG
∞fC’G Ü
ºØdG ê
á©qÑ≤dG O
.áq«d qhCG OGóYCG ÜöV π°UÉëc 399 Oó©dG áHÉàc ø pμª oj 19
?399 Oó©∏d q‹ qhCG πeÉY ÈcCG Ée
19 CG
21 Ü
57 ê
133 O
?»£«£îsàdG º°S qôdG ‘ m° `H É¡«dEG õneôoj »àqdG ájhG qõdG ¢SÉ«b Ée 20
35º CG
45º Ü
55º ê
65º O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
9
.ƒg ɪc §ªqædG ≈≤Ñj 21
? ᪫b ɪa ,14 ᪫b ¿ƒμJ ÉeóæY
54 CG
55 Ü
56 ê
57 O
?CÉ£N áHÉLEG »£©oJ IóYÉb q…CG ,᪫b ´ÉHQCG áKÓK OÉéjE’ 22
.0.75 `H ᪫≤dG ÜpöVpG CG
.᪫≤dG øe œÉædG ì nôWG qºK ,4 ≈∏Y ᪫≤dG º p°ùb pG Ü
.4 `H œÉædG ÜpöVG qºK ,3 ≈∏Y ᪫≤dG º p°ùb pG ê
.᪫≤dG øe π°UÉ◊G ì nôWG qºK ,0.25 `H ᪫≤dG ÜpöVpG O
.AB = AC ,√ÉfOCG »£«£îsàdG º°S qôdG ‘ 23
?z ᪫b Ée
115º CG
120º Ü
125º ê
130º O
Grade 7 Mathematics
9
21Thepatternstaysthesame.
Whenis14,whatis?
A 54B 55C 56D 57
22 Tofindthree-quartersofanamount,whichrulegivesthe wronganswer?
A Multiplytheamountby0.75.B Dividetheamountby4,thensubtracttheresultfromtheamount.C Dividetheamountby3thenmultiplytheresultby4.D Multiplytheamountby0.25,thensubtracttheresultfromtheamount.
23 Inthediagram,AB=AC.Whatisthevalueofz?
A 115ºB 120ºC 125ºD 130º
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3
11
4
15
5
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7
27
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19
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11
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5
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6
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130º
A
B
Cz
Grade 7 Mathematics
10
24 AhippopotamuswasbornJuly5.Thegraphshowsthechangesinmassforthefirst9weeksofitslife.
Whichweekdidthebabyhippopotamusgainthemostmass?
A betweenJuly12and19.B betweenJuly26andAugust2.C betweenAugust9and16.D betweenAugust30andSeptember6.
25 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
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10
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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
ȪàÑ°S 6h ¢ù£°ùZCG 30 ÚH O
.CÉ£N »g √ÉfOCG sÚÑe ƒg ɪc áÑ°SÉM ádBG á°TÉ°T ≈∏Y ºbQ É¡«a ¢V nô©oj »àdG á≤jô q£dG 25
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 ᪫b Ée
0 CG
2 Ü
6 ê
8 O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
11
.áqÑM 20 É¡qfCG äó nLƒa ádhGôØdG äÉqÑM ä sóY .ádhGôØdG øe ΩGôZƒ∏«c ∞°üf ióf änΰTpG 26
?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 27
.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 28
?¬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 7 Mathematics
11
26 Nadaboughthalfakilogramofstrawberries.Shecountedthestrawberriesandfoundshehad20.
Whatistheaveragemassofastrawberry?
A 20gB 25gC 40gD 50g
27 Thethreenumbersentencescontainthreedifferentsymbols.Eachsymbolcorrespondstoadifferentnumber.Whatnumberdoestherepresent?
A 4B 6C 9D 12
28 Ahexagonalprismisashapewhichhas12vertices.
Howmanyfacesandedgesdoesithave?
A 6facesand12edgesB 8facesand18edgesC 6facesand18edgesD 8facesand12edges
� + � + � = ☺
�
☺ + ☺ = �
� + ☺ = 36
� + � + � = ☺
�
☺ + ☺ = �
� + ☺ = 36
Grade 7 Mathematics
12
29 Hereisamapofanisland.Whatistheareaoftheisland?
A lessthan14squarekilometresB 15or16squarekilometresC 17or18squarekilometresD morethan18squarekilometres
30 Thediagramshowsanumbersentenceintheformofacycle.ThenumberSreturnsunchanged.WhatisthevalueofS?
A 5B 10C 13D 21
1 km
S 3
3 9
9
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
12
.Q oõo÷G ióMEG á£jôN ∂«dEG 29
?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 ᪫b ≈≤ÑJ .á≤n∏ nM πμ°T ≈∏Y áqjOóY á∏ªL § s£îŸG uÚÑoj 30
?S ᪫b Ée
5 CG
10 Ü
13 ê
21 O
Grade 7 Mathematics
12
29 Hereisamapofanisland.Whatistheareaoftheisland?
A lessthan14squarekilometresB 15or16squarekilometresC 17or18squarekilometresD morethan18squarekilometres
30 Thediagramshowsanumbersentenceintheformofacycle.ThenumberSreturnsunchanged.WhatisthevalueofS?
A 5B 10C 13D 21
1 km
S 3
3 9
9
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
12
.Q oõo÷G ióMEG á£jôN ∂«dEG 29
?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 ᪫b ≈≤ÑJ .á≤n∏ nM πμ°T ≈∏Y áqjOóY á∏ªL § s£îŸG uÚÑoj 30
?S ᪫b Ée
5 CG
10 Ü
13 ê
21 O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
13
.á≤«bO 20 ‘ áq«FGƒ¡dG ¬àLG qQO ≈∏Y 8 km áaÉ°ùe ≈Ø£°üe RÉàLpG 31
?á≤«bO 45 ‘ RÉàéj ±ƒ°S GkÎeƒ∏«c ºμa ,áàHÉK ¬àYöS âfÉc GPEG
16 km CG
18 km Ü
20 km ê
21 km O
.áq«bQh IôFÉW ÊÉ«ÑdG º°S qôdG Gòg uÚ«oH 32
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?º°S sôdG ≈∏Y áæs«ÑŸG á°ù pμ©æŸG ájhG qõdG ¢SÉ«b Ée
264° CG
276° Ü
284° ê
286° O
.10 ¬«dEG â© nªL qºK Ée G kOóY á°ûFÉY âØ nYÉ°V 33
.áq«FÉ¡ædG áHÉLE’G ≈∏Y π o°üëàd ¬æe 10 âMnôWh 2 ≈∏Y π°UÉ◊G ⪠n°ùb
?áq«FÉ¡ædG á°ûFÉY áHÉLEG »g Ée
.¬H äCG nóH …òqdG ¬°ùØf Oó©dG CG
.¬H äCG nóH …òqdG Oó©dG øe 10 `H qπbCG Ü
.¬H äCG nóH …òqdG Oó©dG øe 5 `H qπbCG ê
.Év«LhR hCG ÉvjOôa ¿Éc GPEG ¬H äCG nóH …òqdG Oó©dG ≈∏Y áHÉLE’G ó pªà©J O
Grade 7 Mathematics
13
31 Mustafarodean8kmtimetrialonhisbicyclein20minutes.
Ifhisspeedisconstant,howmanykilometreswouldMustafaridein45minutes?
A 16kmB 18kmC 20kmD 21km
32 Thisdiagramshowsakite.Akitehastwopairsofequalsidesanditsdiagonalsintersectatrightangles.
Whatisthesizeofthereflexanglemarkedonthisdiagram?
A 264ºB 276ºC 284ºD 286º
33 Aishadoublesanumberandthenadds10totheresult.Shedividesthisby2andthensubtracts10togetherfinalanswer.
WhatisAisha'sfinalanswer?
A Thesameasthestartingnumber.B Tenlessthanthestartingnumber.C Fivelessthanthestartingnumber.D Itdependsonwhetherthestartingnumberwasoddoreven.
140º
26º
?º
Grade 7 Mathematics
14
34 Which3Dshapeismadeupofacubeandasquarepyramid?
35 Whatisthefirstprimenumbergreater than200?
A 207B 209C 211D 217
36 Inthetrapezium,whatisthevalueofm?
A 56ºB 59ºC 62ºD 66º
A B C D
118º
124º
mº
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
14
?IóYÉ≤dG q»YÉHQ Ωôgh Ös©μe øe ¿ sƒμe OÉ©HC’G q»KÓK πμ°T q…CG 34
?200 øe ÈcCG q‹ qhCG OóY ∫ qhCG Ée 35
207 CG
209 Ü
211 ê
217 O
?± pôëæŸG ¬Ñ°T ‘ m° ᪫b Ée 36
56° CG
59° Ü
62° ê
66° O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
15
?É kªgQO 160 øe 15% ¤EG ÜôbC’G ᪫≤dG Ée 37
É kªgQO 15 CG
É kªgQO 20 Ü
É kªgQO 25 ê
É kªgQO 30 O
.¬ahôM Eh ¬°ShDhQ Vh ,πμ q°ûdG √ƒLh F πuã oÁ å«M ,FF + V = E + 2 :»g OÉ©HC’G q»KÓK πμ°T q…C’ ô∏jhCG ᨫ°U 38
?ᨫ q°üdG √òg áHÉàμd iôNC’G á≤jô q£dG »g Ée
V = F + E + 2 CG
F = E + 2 - V Ü
E = V + 2 + F ê
V = E - F - 2 O
.á≤HÉ£àe äÉÑs©μe 10 øe ¿ sƒμe º s°ù› 39
?º s°ùéŸG Gòg πμ°T ¿ƒμ«°S ∞«μa ,Y á£≤f øe ¬«dEG nä rô n¶f GPEG
Grade 7 Mathematics
15
37 Whichisclosestto15%of160Dhs?
A 15DhsB 20DhsC 25DhsD 30Dhs
38 Euler'sformula,forany3DshapewithFfaces,VverticesandEedges,isF+V=E+2.
Whatisanotherwaytowritethisformula?
A V=F+E+2B F=E+2–VC E=V+2+FD V=E–F–2
39 Abuildingismadefrom10identicalcubes.WhenviewedfrompointY,whatwouldthebuildinglooklike?
Y
X
A B C D
Side view from X
Top view
Y
X
A B C D
Side view from X
Top view
Grade 7 Mathematics
16
40Whatistheinputnumber?
A 0B 5C 6D 18
� 3
?
Input
Output
6
� 5 � 2 � 4
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
16
?πNG qódG Oó©dG Ée 40
0 CG
5 Ü
6 ê
18 O
Grade 7 Mathematics
16
40Whatistheinputnumber?
A 0B 5C 6D 18
� 3
?
Input
Output
6
� 5 � 2 � 4
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
16
?πNG qódG Oó©dG Ée 40
0 CG
5 Ü
6 ê
18 O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
15
?É kªgQO 160 øe 15% ¤EG ÜôbC’G ᪫≤dG Ée 37
É kªgQO 15 CG
É kªgQO 20 Ü
É kªgQO 25 ê
É kªgQO 30 O
.¬ahôM Eh ¬°ShDhQ Vh ,πμ q°ûdG √ƒLh F πuã oÁ å«M ,FF + V = E + 2 :»g OÉ©HC’G q»KÓK πμ°T q…C’ ô∏jhCG ᨫ°U 38
?ᨫ q°üdG √òg áHÉàμd iôNC’G á≤jô q£dG »g Ée
V = F + E + 2 CG
F = E + 2 - V Ü
E = V + 2 + F ê
V = E - F - 2 O
.á≤HÉ£àe äÉÑs©μe 10 øe ¿ sƒμe º s°ù› 39
?º s°ùéŸG Gòg πμ°T ¿ƒμ«°S ∞«μa ,Y á£≤f øe ¬«dEG nä rô n¶f GPEG
Grade 7 Mathematics
15
37 Whichisclosestto15%of160Dhs?
A 15DhsB 20DhsC 25DhsD 30Dhs
38 Euler'sformula,forany3DshapewithFfaces,VverticesandEedges,isF+V=E+2.
Whatisanotherwaytowritethisformula?
A V=F+E+2B F=E+2–VC E=V+2+FD V=E–F–2
39 Abuildingismadefrom10identicalcubes.WhenviewedfrompointY,whatwouldthebuildinglooklike?
Y
X
A B C D
Side view from X
Top view
Y
X
A B C D
Side view from X
Top view
Grade 7 Mathematics
14
34 Which3Dshapeismadeupofacubeandasquarepyramid?
35 Whatisthefirstprimenumbergreater than200?
A 207B 209C 211D 217
36 Inthetrapezium,whatisthevalueofm?
A 56ºB 59ºC 62ºD 66º
A B C D
118º
124º
mº
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
14
?IóYÉ≤dG q»YÉHQ Ωôgh Ös©μe øe ¿ sƒμe OÉ©HC’G q»KÓK πμ°T q…CG 34
?200 øe ÈcCG q‹ qhCG OóY ∫ qhCG Ée 35
207 CG
209 Ü
211 ê
217 O
?± pôëæŸG ¬Ñ°T ‘ m° ᪫b Ée 36
56° CG
59° Ü
62° ê
66° O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
13
.á≤«bO 20 ‘ áq«FGƒ¡dG ¬àLG qQO ≈∏Y 8 km áaÉ°ùe ≈Ø£°üe RÉàLpG 31
?á≤«bO 45 ‘ RÉàéj ±ƒ°S GkÎeƒ∏«c ºμa ,áàHÉK ¬àYöS âfÉc GPEG
16 km CG
18 km Ü
20 km ê
21 km O
.áq«bQh IôFÉW ÊÉ«ÑdG º°S qôdG Gòg uÚ«oH 32
.áªFÉb ájhGR ‘ ¿É© nWÉ≤àj ÉgGô£bh ájhÉ°ùàŸG ´Ó°VC’G øe ¿ÉLhR áq«bQƒdG IôFÉ q£∏d
?º°S sôdG ≈∏Y áæs«ÑŸG á°ù pμ©æŸG ájhG qõdG ¢SÉ«b Ée
264° CG
276° Ü
284° ê
286° O
.10 ¬«dEG â© nªL qºK Ée G kOóY á°ûFÉY âØ nYÉ°V 33
.áq«FÉ¡ædG áHÉLE’G ≈∏Y π o°üëàd ¬æe 10 âMnôWh 2 ≈∏Y π°UÉ◊G ⪠n°ùb
?áq«FÉ¡ædG á°ûFÉY áHÉLEG »g Ée
.¬H äCG nóH …òqdG ¬°ùØf Oó©dG CG
.¬H äCG nóH …òqdG Oó©dG øe 10 `H qπbCG Ü
.¬H äCG nóH …òqdG Oó©dG øe 5 `H qπbCG ê
.Év«LhR hCG ÉvjOôa ¿Éc GPEG ¬H äCG nóH …òqdG Oó©dG ≈∏Y áHÉLE’G ó pªà©J O
Grade 7 Mathematics
13
31 Mustafarodean8kmtimetrialonhisbicyclein20minutes.
Ifhisspeedisconstant,howmanykilometreswouldMustafaridein45minutes?
A 16kmB 18kmC 20kmD 21km
32 Thisdiagramshowsakite.Akitehastwopairsofequalsidesanditsdiagonalsintersectatrightangles.
Whatisthesizeofthereflexanglemarkedonthisdiagram?
A 264ºB 276ºC 284ºD 286º
33 Aishadoublesanumberandthenadds10totheresult.Shedividesthisby2andthensubtracts10togetherfinalanswer.
WhatisAisha'sfinalanswer?
A Thesameasthestartingnumber.B Tenlessthanthestartingnumber.C Fivelessthanthestartingnumber.D Itdependsonwhetherthestartingnumberwasoddoreven.
140º
26º
?º
Grade 7 Mathematics
12
29 Hereisamapofanisland.Whatistheareaoftheisland?
A lessthan14squarekilometresB 15or16squarekilometresC 17or18squarekilometresD morethan18squarekilometres
30 Thediagramshowsanumbersentenceintheformofacycle.ThenumberSreturnsunchanged.WhatisthevalueofS?
A 5B 10C 13D 21
1 km
S 3
3 9
9
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
12
.Q oõo÷G ióMEG á£jôN ∂«dEG 29
?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 ᪫b ≈≤ÑJ .á≤n∏ nM πμ°T ≈∏Y áqjOóY á∏ªL § s£îŸG uÚÑoj 30
?S ᪫b Ée
5 CG
10 Ü
13 ê
21 O
Grade 7 Mathematics
12
29 Hereisamapofanisland.Whatistheareaoftheisland?
A lessthan14squarekilometresB 15or16squarekilometresC 17or18squarekilometresD morethan18squarekilometres
30 Thediagramshowsanumbersentenceintheformofacycle.ThenumberSreturnsunchanged.WhatisthevalueofS?
A 5B 10C 13D 21
1 km
S 3
3 9
9
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
12
.Q oõo÷G ióMEG á£jôN ∂«dEG 29
?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 ᪫b ≈≤ÑJ .á≤n∏ nM πμ°T ≈∏Y áqjOóY á∏ªL § s£îŸG uÚÑoj 30
?S ᪫b Ée
5 CG
10 Ü
13 ê
21 O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
11
.áqÑM 20 É¡qfCG äó nLƒa ádhGôØdG äÉqÑM ä sóY .ádhGôØdG øe ΩGôZƒ∏«c ∞°üf ióf änΰTpG 26
?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 27
.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 28
?¬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 7 Mathematics
11
26 Nadaboughthalfakilogramofstrawberries.Shecountedthestrawberriesandfoundshehad20.
Whatistheaveragemassofastrawberry?
A 20gB 25gC 40gD 50g
27 Thethreenumbersentencescontainthreedifferentsymbols.Eachsymbolcorrespondstoadifferentnumber.Whatnumberdoestherepresent?
A 4B 6C 9D 12
28 Ahexagonalprismisashapewhichhas12vertices.
Howmanyfacesandedgesdoesithave?
A 6facesand12edgesB 8facesand18edgesC 6facesand18edgesD 8facesand12edges
� + � + � = ☺
�
☺ + ☺ = �
� + ☺ = 36
� + � + � = ☺
�
☺ + ☺ = �
� + ☺ = 36
Grade 7 Mathematics
10
24 AhippopotamuswasbornJuly5.Thegraphshowsthechangesinmassforthefirst9weeksofitslife.
Whichweekdidthebabyhippopotamusgainthemostmass?
A betweenJuly12and19.B betweenJuly26andAugust2.C betweenAugust9and16.D betweenAugust30andSeptember6.
25 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
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
10
.¬JO’h øe ¤hC’G á©°ùqàdG ™«HÉ°SC’G ∫ÓN ¬à∏àc ‘ qÒ¨àdG √ÉfOCG qÊÉ«ÑdG π«ãªqàdG uÚnÑoj .ƒ«dƒj 5 ‘ ô¡f ¢Sôa ópd oh 24
?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
ȪàÑ°S 6h ¢ù£°ùZCG 30 ÚH O
.CÉ£N »g √ÉfOCG sÚÑe ƒg ɪc áÑ°SÉM ádBG á°TÉ°T ≈∏Y ºbQ É¡«a ¢V nô©oj »àdG á≤jô q£dG 25
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 ᪫b Ée
0 CG
2 Ü
6 ê
8 O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
9
.ƒg ɪc §ªqædG ≈≤Ñj 21
? ᪫b ɪa ,14 ᪫b ¿ƒμJ ÉeóæY
54 CG
55 Ü
56 ê
57 O
?CÉ£N áHÉLEG »£©oJ IóYÉb q…CG ,᪫b ´ÉHQCG áKÓK OÉéjE’ 22
.0.75 `H ᪫≤dG ÜpöVpG CG
.᪫≤dG øe œÉædG ì nôWG qºK ,4 ≈∏Y ᪫≤dG º p°ùb pG Ü
.4 `H œÉædG ÜpöVG qºK ,3 ≈∏Y ᪫≤dG º p°ùb pG ê
.᪫≤dG øe π°UÉ◊G ì nôWG qºK ,0.25 `H ᪫≤dG ÜpöVpG O
.AB = AC ,√ÉfOCG »£«£îsàdG º°S qôdG ‘ 23
?z ᪫b Ée
115º CG
120º Ü
125º ê
130º O
Grade 7 Mathematics
9
21Thepatternstaysthesame.
Whenis14,whatis?
A 54B 55C 56D 57
22 Tofindthree-quartersofanamount,whichrulegivesthe wronganswer?
A Multiplytheamountby0.75.B Dividetheamountby4,thensubtracttheresultfromtheamount.C Dividetheamountby3thenmultiplytheresultby4.D Multiplytheamountby0.25,thensubtracttheresultfromtheamount.
23 Inthediagram,AB=AC.Whatisthevalueofz?
A 115ºB 120ºC 125ºD 130º
�
�
�
�
3
11
4
15
5
19
6
23
7
27
...
...
�
�
�
�
3
11
4
15
5
19
6
23
7
27
...
...
�
�
�
�
3
11
4
15
5
19
6
23
7
27
...
...
130º
A
B
Cz
Grade 7 Mathematics
8
18 Khaliddrewamirrorimageofthisface.Whichfeaturewasnotreflectedinthemirrorimage?
A scarB noseC mouthD hat
19 Thenumber399canbewrittenasaproductofprimenumbers.
Whatisthelargestprimefactorof399?
A 19B 21C 57D 133
20 Whatisthesizeoftheanglemarkedmºinthisdiagram?
A 35ºB 45ºC 55ºD 65º
Mirror
mº
145º
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
8
.IBGôŸG ∫ÓN øe ¬LƒdG Gòg ¢SÉμ©fG IQƒ°U ódÉN º n°SQ 18
?IBGôŸG ∫ÓN øe IQƒ q°üdG ‘ ¬°SÉμ©fG ô n¡¶j ⁄ A»°T q…CG
(ÖLÉ◊G) áHóædG CG
∞fC’G Ü
ºØdG ê
á©qÑ≤dG O
.áq«d qhCG OGóYCG ÜöV π°UÉëc 399 Oó©dG áHÉàc ø pμª oj 19
?399 Oó©∏d q‹ qhCG πeÉY ÈcCG Ée
19 CG
21 Ü
57 ê
133 O
?»£«£îsàdG º°S qôdG ‘ m° `H É¡«dEG õneôoj »àqdG ájhG qõdG ¢SÉ«b Ée 20
35º CG
45º Ü
55º ê
65º O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
7
.í s°Vƒe ƒg ɪc êPƒªqæ∏d áq«eÉeC’G á¡LƒdGh áqjƒ∏©dG á¡LƒdG øe vÓc º n°SQ qºK ,êPƒ‰ ‘ ÉkÑ s©μe 11 ó«°TQ ÖsJQ 16
?êPƒªqæ∏d áq«ÑfÉ÷G á¡LƒdG ¿ƒμj ¿CG ø pμ oÁ »∏j É qª`e q…CG
:§ s£îŸG Gòg ¤EG ô o¶foG 17
.5 cm2 »g Ò¨°U ™sHôe qπc áMÉ°ùe
:»g πs∏¶ŸG ås∏ãŸG áMÉ°ùe
10 cm2 CG
15 cm2 Ü
20 cm2 ê
30 cm2 O
Grade 7 Mathematics
7
16 Rashidarranged11cubesinamodel.Thenhedrewitstopandfrontviews.Whichcouldbethesideviewofhisobject?
17 Lookatthisdiagram:Theareaofeachsmallsquareis5cm2.
Theareaoftheshadedtriangleis:
A 10cm2
B 15cm2
C 20cm2
D 30cm2
Top view Front view
A B C D
Grade 7 Mathematics
6
14 Thefourshapesbelowhavethesamearea.Whichshapehasthelargestperimeter?
15 Anappleandabananahavethesamemassas3apples.Twoapplesandabananahaveatotalmassof800grams.
Whatisthebestestimateofthemassofanapple?
A 100gB 200gC 250gD 300g
A B C D
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
6
.É¡°ùØf áMÉ°ùŸG √ÉfOCG á©HQC’G ∫Éμ°TCÓd 14
?§«fi ÈcCG ¬d πμ°T q…CG
O ê Ü CG
.ΩGôZ 800 IRƒeh ÚàMÉqØJ á∏àc âfÉch ,äÉMÉqØJ çÓK á∏àc ¿Éj phÉ°ùoJ IRƒe á∏àch áMÉqØJ á∏àc âfÉc GPEG 15
?IóMGh áMÉqØJ á∏àμd π°†aC’G ôjó≤qàdG Ée
100 g CG
200 g Ü
250 g ê
300 g O
C
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
5
.1 cm2 äÉÑs©μŸG √òg øe ¬Lh qπc áMÉ°ùe ≠o∏ÑJ .IÒ¨°U äÉÑs©μe á°ùªN øe áeƒμdG √òg â©pæ o°U 11
?áeƒμdG √ò¡d áq«q∏μdG áMÉ°ùŸG Ée
17 cm2 CG
20 cm2 Ü
21 cm2 ê
30 cm2 O
16 – 12 ÷ 4 + 2 = 12
46 CG
64
Ü
3 ê
15 O
. 510
»g 621.53 ‘ 5 ºb qô∏d áq«fÉμŸG ᪫≤dG 13
:ƒg 3h 1 Úªb qô∏d Úàq«fÉμŸG Úફ≤dG ÚH ¥ôØdG
0.97 CG
1.03 Ü
0.07 ê
0.70 O
Grade 7 Mathematics
5
11 Thisstackismadeoffivesmallcubes.Eachfaceofasmallcubehasasurfaceareaof1cm2.Whatisitssurfacearea?
A 17cm2
B 20cm2
C 21cm2
D 30cm2
12 16 – 12 4 4 + 2 =
A
B
C 3
D 15
13 Theplacevalueofthe5in621.53is.Thedifferencebetweentheplacevaluesofthe1andthe3is:
A 0.97B 1.03C 0.07D 0.70
6 4
5 10
4 6
I II III IV
Grade 7 Mathematics
4
7 Iamaquadrilateral,and:
•Ihavenoacuteangles, •Myoppositesidesareequal.
WhatshapeamI?
A atriangleB asquareC atrapeziumD aparallelogram
8 Whichoneofthesenumbersisamultipleof4?
A 9614B 9164C 6194D 6914
9 Whichshapehasthelargestshadedarea?
10 Amalwalked2.75kilometrestotheschool.
HowmanymetresdidAmalwalk?
A 2.75mB 27.5mC 275mD 2750m
A B C D
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
4
: q»YÉHQ ÉfCG 7 •.I qOÉM ÉjGhR ‹ ¢ù«d •.∫ƒ q£dG ‘ ájhÉ°ùàe á∏HÉ≤àŸG »YÓ°VCG
?»∏j É qª`e ÉfCG πμ°T q…CG
ås∏ãe CG
™sHôe Ü
± pôëæe ¬Ñ°T ê
´Ó°VC’G …RGƒàe O
?4 Oó©∏d ∞ nYÉ°†e ƒg á«dÉqàdG OGóYC’G øe q…CG 8
9 614 CG
9 164 Ü
6 194 ê
6 914 O
?á∏s∏¶e áMÉ°ùe ÈcCG ¬d »∏j É qª`e πμ°T q…CG 9
.á°SQóŸG ¤EG π p°üàd Îeƒ∏«c 2.75 πeCG â n°ûe 10
?πeCG â n°ûe GkÎe ºc
2.75 m CG
27.5 m Ü
275 m ê
2 750 m O
äÉq«°VÉjôdG ™HÉ°ùdG ∞°üdG
3
.130 cm IóMGƒdG á©£≤dG ∫ƒW ,É¡æe ™£b çÓK QƒgR ™FÉH n™£àbG .10 m §jöT áqØd ∫ƒW ≠o∏Ñj 4
?§j qöûdG áqØd øe á«u≤ÑàŸG á©£≤dG ∫ƒW Ée
6.1 m CG
7.1 m Ü
7.9 m ê
8.7 m O
.ÉkaôM 12h á©sHôe √ƒLh 6 OÉ©HC’G q»KÓK º s°ùéŸ 5
:ƒg º s°ùéŸG Gòg
Ös©μe CG
q»°SGó°S Ü
IóYÉ≤dG q»°SɪN Qƒ°ûæe ê
IóYÉ≤dG q»°SGó°S Qƒ°ûæe O
18 – 6 ÷ 2 + 1 :᪫b áqbóH Ö o°ùëj ¿CG ó«©°S ójôoj 6
?Ω póîà°ùj ¿CG ¬«∏Y IóYÉb q…CG
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Grade 7 Mathematics
3
4Arollcontains10mofribbon.Afloristcutsthreepiecesfromit.Eachpieceis130cmlong.
Howmuchribbonisleftontheroll?
A 6.1mB 7.1mC 7.9mD 8.7m
5 Athree-dimensionalobjecthas6squarefacesand12edges.
Theobjectisa
A cube.B hexagon.C pentagonalprism.D hexagonalprism.
6 Saeedwantstocalculate18 – 6 4 2 + 1correctly.
Whichruleshouldheuse?
A Workfromlefttoright.B Subtract6from18,thendivideby3.C Subtract6from18,divideby2,thenadd1.D Subtracttheresultof642from18,thenadd1.
Grade 7 Mathematics
2
1 Whichdiagramisshaded?
2 Whichdiagonalinthisprismisthelongest?
A ACB AFC AGD AH
3 Aishastartedanumberpattern:
3, 4, 6, 9, ?
Tofindthenextnumberinherpatternsheshould:
A add4to9B add3to9C add2to9D add1to9
23
A B C D
A
E F
B
C
GH
D
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AC CG
AF Ü
AG ê
AH O
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3, 4, 6, 9, ?
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.9 ¤EG 4 ™ nªŒ ¿CG CG
.9 ¤EG 3 ™ nªŒ ¿CG Ü
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.9 ¤EG 1 ™ nªŒ ¿CG O
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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