Following.(Anyfive)

135 ModelPaper

ModelPaper-1

(Term -I)

TimeAllowed:2:30Hours Marks:100

A. Findthenumericalvaluesandadditiveinverseofeachofthe

following.(Anyfive).

1. 3 2. –8 3. 5 4. –9

5. –6

(10)

6. –2

B. Fillintheboxes.(Anyfive)

(10)

1. (+3) + (–6) = 2. (+7) + (+3) = 3. (–6) + (–9) =

4. [(+5) + = (+7)5. + (–5) = (–6) 6. 12,345

C. Simplifythefollowing.(Anyone)

(10)

1. [(–13) – (–18)] – (–17) 2. [(–18) – (+12)] – (–19)

D. Fillinthefollowingboxes.

(10)

1. 12

2. –16= –12 3. = –4

4. 30 = –6 5.

–8

E. Findfourequivalentfractionsofeachofthefollowing.(Anyone)

1. 3

2. 1

(10)

F. Solve:

2 4 ÷ 2 1 +

9 3

1 3 –2 6

4 7

×1 4

(10)

G. Simplify the following expression involving common fractions.

4 + 2

9 3

× 1

– 1

(10)

H. Find the product of the following.

(10)

1. 2.

I. Prove and identify the property used in each of the following.

(Any one)

(10)

J. Threefamilies livetogether inahouse.Thedailyuseofmilkofone familyis litresandtheothertwofamilies use litresand litres

respectively.Howmuchmilkwouldamilkman supplythem?

(10)

136 ModelPaper

ModelPaper-2

(Term -I)

TimeAllowed:2:30Hours Marks:100

A. Findthequotientofthefollowing.(Anytwo)

(10)

1. (–480) ÷ (–120)

2. (+196) ÷ (–28) 3. (–999) ÷ (+11)

B. Writethenumbersbetween:

(10)

1. 2 and 6 2. –2 and 3

C. The sum of two integers is –99. Find the other integer whereas one integer is –66.

D. Simplify.(Anyone)

(10) (10)

1. [(+2) × (+9)] × (–4)

2. [(–18) × (3)] × (2)

E. Reducethefollowingfractionsintothelowestterms.

(10)

1. 672

896

2. 1320

1475

F. Solve:(Anyone) (10)

1.100.014 – 1.34 × 0.025 ÷ 8.25 – 5.235 + 1.255

2. 2 2 ×

1 1 1

4 8

–1 1

–1 2

G. Proveandidentifytheproperty.

(10)

4 ×

3 4

16 × 9 =

4 3 4

9 × 16 × 5

H. Findtheproductofthefollowing.

(10)

1. 2.

I. Nosheenbought12metres cloth fromthe market. Sheusedhalf of cloth forhersuit and rdofremaining forherdaughter’ssuit.

Howmuch cloth left now?

J. Simplifythefollowingexpressionsinvolvingdecimals.

(10) (10)

137 ModelPaper

ModelPaper-3

(Term -I)

TimeAllowed:2:30Hours Marks:100

A. Solveeachofthefollowingandseparateintegers. (Anytwo)

(10)

1. (+65) ÷ (+5) 2. (–27) ÷ (–3) 3. (–126) ÷ (+14)

B. Reducethefollowingfractionsintolowestterms.

(10)

1.1000

2700

2. 1550

3500

C. Simplify the following expressions involving common fractions.

31+ 24÷ 8 × 9 – 39

(10)

14 7

2 21

D. Proveandidentifytheproperty.

2 2 ×

1 1

–1 1

= 2 2 ×1 1 ×2 2 ×1 1

(10)

5 2 3

5 2 5 3

E. Ahmedrequired feetlongcablewireforaconnection.He joinedtwolengthsofwiresof feetand feet.Nowhow

muchlengthdoeshehavemorethantherequiredlength.

F. Fillintheboxeswithor<.

(10) (10)

1. 6 5 2.–6 –5 3. –2 0 4.0 4 5.8 –10

G. Findtheproductofthefollowing.

1. 2.

(10)

H. Thesumoftwointegersis–99.Findtheotherintegerwhereas

oneintegeris–66.

I. Solvethefollowing.

1. 2.

J. Solve.

(10) (10)

(10)

138 ModelPaper

ModelPaper-4

(Term -I)

TimeAllowed:2:30Hours Marks:100

A. Fillintheboxes.

(10)

1. (+3) + (–6) = 2. (+7) + (+3) =

4. [(+3) + = (+7) 5. + (+3) = (–16)

3. (–6) + (–9) =

B. Fillintheblanks.(Anyfive)

(10)

1. (+2)–( )=(–7) 2.(–8)–( )=(–12) 3. (–11)–(–13)=( )

4. (+16)–(

)=(+11)5.(

)–(–3)=(+9) 6. (

)–(+13)=(–29)

C. Solveandseparateintegers.(Anyone)

1. (–126) ÷ (+14) 2. (–17) ÷ (+34)

(10)

D. Fillinthebox.

–16

1. 2 = 2 ×

2. (–9)× =81

(10)

E. Findfourequivalentfractionsof 8 .

(10)

F. Writethefollowingfractionsinnumerals.

(10)

1. / two thirds / 2. / one fifith / 3. / four-ninths
4. / three-eighths / 5. / five-ninths

G. Sadafbought2.25kgbeefattherateofRs.160kg,mutton attherateofRs.250kgand2.35kgchickenattherateof

(10)

Rs.128kg.WhatamountdoesshehavenowoutofRs.1000?

H. Findtheproductofthefollowing.

(10)

1. 2.

I. Solve.

(10)

J. Proveandidentifythepropertyusedineachofthefollowing.

(Anyone).

(10)

139 ModelPaper

ModelPaper-1

(Term -II)

TimeAllowed:2:30Hours Marks:100

A. Writeandsimplifythefollowingratios.

(10)

1. 12 is to 120 2. 25 is to 50

B. Decrease196intheratioof5:7;whatistheresult?

(10)

C. AjsheenleftapropertyofworthRs.55000andadebtof Rs.11,000.Distributetheheritagesuchasmothergets ,fathergets ofheritageandhusbandgetsremaining.Burial expenseswereRs.2000.

D. TherateforlevellingaroadisRs.50/m .Find:

(10)

1. The cost of levelling a road of 80 m .

2. The cost of levelling a road of 425 m .

E. Expressthefollowinginfractionsanddecimals.

(10)

1. 45% 2. 6%

F. Findtheactualamountif40%oftheamountis60rupees.

(10)

G. Acompanyincreasedthesalariesoftheirworkersby10%.(10)

1. Find the original salary of Imran when his new salary is Rs. 2200.

2. Find the new salary ofWaseem when his original salary was Rs. 2700.

H. Aroadlengthinamodelis35cm,whentheactuallengthofthe(10)

sameroadis350m.Findtheratioofthemodel’slengthtotheactual

lengthoftheroad.

I. Solve.

(10)

1. Afarmerhas8days’ foodfor33cow.Hebought11morecows.

Forhowmanydayswillthefoodbeenough?

2. If40workersdoaworkin35days,inhowmanydayswillthe

sameworkbedonebyincreasing10moreworkers?

J. TanveerpaidtheincometaxofRs.7,384attherateof13%.What

isthetaxableannualincomeofTanveer?

(10)

140 ModelPaper

ModelPaper-2

(Term -II)

TimeAllowed:2:30Hours Marks:100

A. Husnaintook1%asthecommissionfromboththepartiesand

gaveRs.574,200tothelandlord.

1. Find the sale price of the land.

2. Find the amount paid by the buyer.

(10)

B. The cost price of 25 pairs of shoes is Rs. 190 each. Find the selling price of each of them, when the retailer has a total gain of Rs. 2,875.

C. ThepriceofacalculatordecreasedfromRs.720toRs.600.

Findthepercentagedecrease.

D. ShakeelhadRs.7500.HepaidadebtofRs.1500.Findthe percentageoftheremainingamount.

E. Convertthefollowingintopercentages.(Anytwo)

(10) (10)

(10)

1. 1

2. 0.25

3. 7

F. Solve:(Anyone)

(10)

1. If 150 shirts can be stitched on 6 sewing machines in a day, how many machines are required to stitch 225 shirts in a day?

2. If 7 buffaloes give 56 litres milk, how much milk can we get from 12 buffaloes?

G. Abikeuses12litrespetroltotravel540km.Thenfind;

(10)

1. How far can a bike travel in 15 litres of petrol?

2. How much petrol is required to travel 810 km?

H. DistributetheinheritanceofMrs.Sherazibetweenher

4daughtersand1sonofRs.59,000whenburialexpenses wereRs.2000.(Songetstwiceofdaughter).

(10)

I. FarahpaidthepropertytaxofRs.9,240attherateof3.5%.Find theworthofherproperty,whereasanamountofRs.60,000is

exemptedfromthetax.

(10)

J. Imran,SaeedandAliinvestedRs.6000,Rs.7,000andRs.5,000 respectivelyina business.AlitookRs.1000fortreatmentofhis wifeinadditiontohissharingprofit.Findtheshareofeachin

profitofRs.5500.

(10)

141 ModelPaper

ModelPaper-3

(Term -II)

TimeAllowed:2Hours Marks:100

A. Writeandsimplifythefollowingratios.(Anytwo)

(10)

1. 12 is to 120 2. 25 is to 50 2. 80 is to 100

B. 150mlofwatercontainsoxygen ofwaterandremainingis hydrogen.Findtheratioofhydrogentooxygeninwater.

C. Solve:(Anyone)

(10) (10)

1. A570kmlongroadhasbeenconstructedintheratioof inthree yearsrespectively.Howmuchroadhasbeenconstructedineachyear?

2. DistributeaprofitofRs.12400amongfourpartnersFaheem,Nadeem,

WaseemandZakirintheratioof .

D. AjsheenleftapropertyofworthRs.55000andadebtof Rs.11,000.Distributetheheritagesuchasmothergets ,fathergets ofheritageandhusbandgetsremaining.Burial expenseswereRs.2000.

E. Afarmerhas8days’ foodfor33cows.Hebought11more cows.Forhowmanydayswillthefoodbeenough?

F. Convertthefollowingintopercentages.

(10)

(10) (10)

1. 10

2. 9

3. 0.59 4. 3.8

G. Banospends70%ofherpocketmoneyandsaves30%.

Findtheamountsshespendsandsaves,whereasshe getsRs.1800asthepocketmoney.

H. FindthepropertytaxonthepropertyofRs.325,000atthe rateof2.8%,whenanamountofRs.60,000isexempted fromthetax.

(10)

I. ThepriceofanotebookincreasedfromRs.12toRs.15.Findthe

percentageincrease.

(10)

J. Husnaintook1%asthecommissionfromboththepartiesandgave

Rs.574,200tothelandlord.

(i)Findthesalepriceoftheland.

(ii)Findtheamountpaidbythebuyer.

(10)

142 ModelPaper

ModelPaper-4

(Term -II)

TimeAllowed:2Hours Marks:100

A. Gul Khan purchased 180 chocolates for Rs. 2,160. He sold 155 chocolates at the rate of Rs. 15 each and 25 chocolates at the

rate of Rs. 10.

1. Findthatheisinprofitorloss.

2. Findthepercentageoftheprofitorloss.

(10)

B. Husnain took 1% as the commission from both the parties and

gaveRs. 574,200 to the land lord.

1. Find the sale price of the land.

2. Find the amount paid by the buyer.

(10)

C. Solve:(Anyone)

(10)

1.Find the property tax on the property of worth Rs. 248,000 at the rate of 4.5%.

2.Haris paid the property tax of Rs. 2,067 at the rate of 3.9%. Find the worth of property.

D. Findthenumberwhenitisdecreasedby6%of750.

(10)

E. Findthefollowingpercentages.(Anytwo)

(10)

1. 8% of 50 2. 64% of 25 3. 75% of 4

F. Findmeanproportionalof4and9.

G. Ifra,HinaandPinky,gotmarksintheratioof9:7:6.Findthe marksofHinaandPinkywhenIfragot81marks.

H. FindthevalueofPineachofthefollowing.(Anytwo)

(10)

(10) (10)

1. 2

= P

2. P

= 3

3. 0.1= 6

5 20

5 10

0.4 P

I. Every3personsareusingtobaccooutof5personsinPakistan.

Whatisthepercentageoftobaccousers?

J. TherateforlevellingaroadisRs.50/m .Find: (I) Thecostoflevellingaroadof80m .

(ii)Thecostoflevellingaroadof425m .

(10) (10)

143 ModelPaper

ModelPaper-1

(Term -III)

TimeAllowed:2:30Hours Marks:100

A. AshopkeepersoldatoyforRs.96atalossof20%.Findthe loss.

B. Writethefollowingintheexponentialform.(Anyfive)

(10) (10)

1. a.a.a 2. x.x

3. xy.xy

4. m.m.m.m 5. pq.pq.pq 6. abc.abc

C. Findthesum.

2p+3q,3q+3r,r+3p

D. FindA+B+C,when.

(10)

A=lm+mn,

B=mn+nl, C=nl+lm

E. Whatmustbesubtractedfrom:

p+p+p+p+1 togetp+1.

F. Simplifythefollowing.

2lm(lm–n)

G. Sabeena,boughtapenandabookforRs.45.Thebookwas

8timesmoreexpensivethanthepen.Whatarethepricesof thebookandpen?

H. Simplify.

[a+c+{a–c+(a+b+b–c)}]

(10) (10)

I. 69istheaverageofany6quantities.If83,76,41,52and66are

fivequantities,thenfindthelastquantity.

J. Solve.

(10) (10)

144 ModelPaper

ModelPaper-2

(Term -III)

TimeAllowed:2:30Hours Marks:100

A. Findtheaveragefromthefollowingtable.

(10)

No. of shirts / 2 / 3 / 1 / 4
Price per shirt in Rs. / 225 / 175 / 415 / 150

B. Writetheco-efficitent,baseandexponentsofthefollowing.

(Anyfive)

1. 2. 3.

(10)

4. 5.

6.5x–2

C. FindA+B+C,when

(10)

D. Whatmustbeaddedtox +xy+y +1togetx +3.

(10)

E. Simplifythefollowing.(Anytwo)

(10)

1. 2. 3.

F. Simplifytheexpression.

(10)

G. Theaverageof61toysisRs.15/toy.Ifitincreasesbyadding(10)

1moretoyupto15.5/toy.Thenfindthepriceofthenewtoy.

H. Ifa=3,b=2andc=1,thenprovethat.

(10)

1. 2.

I. Solvethefollowingequationsandverifythesolution.

(10)

J. Simplifythefollowingexpression.

(10)

145 ModelPaper

ModelPaper-3

(Term -III)

TimeAllowed:2:30Hours Marks:100

A. Findtheaveragefromthefollowingtable.

B. Solve:(Anyone)

(10)

1. Theaverageof61toysisRs.15/toy.Ifitincreasesbyadding1moretoy upto15.5/toy.Thenfindthepriceofthenewtoy.

2. Theaveragesalaryof3workers isRs.4800/worker.Ifitdecreasesby includingtwomoreworkers uptoRs.4500/worker.Findthesalaryof

2ndworkerwhenthefirstworkeristakingRs.4100.

C. Findthesumofthegivenalgebraicexpressions.

D. Subtract2a –3a +5a+5from5a +a +2a–3.

E. Multiply.

2ab×3bc×2ac

F. Simplify.(Anyone)

1. 2.

G. Evaluate2–[2–{2–2–x)}]whenx=1.

H. Solvethefollowingequationsandverifythesolution.

(10)

(10) (10)

(10)

(10) (10)

I. Simplifythefollowingexpressions.(Anyone)

J. Writethefollowingintheexponentialform.

1. 2.

(10)

146 ModelPaper

ModelPaper-4

(Term -III)

TimeAllowed:2:30Hours Marks:100

A. Findtheaveragefromthefollowingtable.

B. Solve:(Anyone)

(10)

1. Irambought8nailpolishesforRs.392.Findtheaveragepriceofanail polish.

2. Kiranbought1kgof6differentvegetablesattherateofRs.18/kg,Rs.20/kg Rs.32/kg,Rs.45/kgRs.8/kg,andRs.15/kg.Findtheaveragepriceofthe vegetables.

C. Simplify.

1. 2.

(10)

D. Findthesumofthefollowingalgebraicexpressions.

E. Subtract3x –4x +8x –6from8x +5x –3x +4x+2.

F. Multiplythefollowing.

(10)

(10) (10)

G. Replacetheunknownsbythenumberstomakethestatement

true.(Anyfive)

1. 2.

(10)

3. 4.

5. 6.

H. Evaluatethefollowingwhena=2,b=1andc=1.

ab–bc+ac

I. Writethefollowingintheexponentialform.

(10)

1. xy . xy

2. m . m . m . m

J. Simplifythefollowingexpressions.

(10)

147 ModelPaper

ModelPaper-1

(Term -IV)

TimeAllowed:2:30Hours Marks:100

A. Measurethefollowinganglesbyusingaprotractor.

(10)

1. 2.

3. 4.

B. Constructthefollowingtriangles.

(10)

1. DE=8cm EF=9cm DF=7cm

C. DrawaperpendicularLMonthegivenlinesegment.

D. Findtheareaofthefollowingborders.(Anyone)

(10) (10)

148 ModelPaper

E. Acontaineris40mlong,15mwideand20mhigh.Findthe capacityofcontainer.

F. Acompanysoldfansduring5yearsasgiveninthefollowing linegraph.Nowreadthegraphandanswerthequestions.

(10)

G. MotaBhaieatsbreadsinadayasgiveninthefollowingtable.

(10)

H. Draw the following triangles with suitable measurements.

(10)

1. 2.

I. Acarpentermadeabox2metrelong,1.5wideand1metrehigh.

Findthecostoftheboardusingfortheboxattherateof

(10)

Rs.50/m.

J. Findthebaseofaparallelogramwhenitsheightis16mandarea

is560m.

(10)

149 ModelPaper

ModelPaper-2

(Term -IV)

TimeAllowed:2:30Hours Marks:100

A. Ifthefollowingaresupplementaryangles,thenwritethedegree

measureofthesecondangle.(Anyone)

1. 179 2. 30

B. Constructthefollowingtriangle.

1. XY=4.5cm YZ=5.5cm ZX=8cm

C. Drawandbisecttheangleof118.

D. Solve:(Anyone)

(10)

(10) (10)

1. Findtheareaofaparallelogramwhosebaseis75mandheightis

50m.

2. Findtheheightofaparallelogramwhosebaseis27mandareis

405m.

E. Awatertankis3mlong,2mwideand1mhigh.Howmany litresofthewatercanbestoredinit?

F. Acompanysoldfansduring5yearsasgiveninthefollowing linegraph.Nowreadthegraphandanswerthequestions.

(10) (10)

G. Thefollowingpiegraphisshowingtheresultofaclassof120

students.

H. Constructthe RST,when

(10)

I. Thefollowingpiegraphisshowingtheresultofaclassof120

students.

J. Drawthefollowingisoscelestriangles.(Anyone)

(10)

150 ModelPaper

ModelPaper-3

(Term -III)

TimeAllowed:2:30Hours Marks:100

A. Ifthefollowingarecomplementary angles,thenwritethedegree

measureofthesecondangle.(Anyone)

1. 10 2. 75

B. Constructthefollowingtriangle.

(10)

1. DE=8cm EF=9cm DF=7cm

C. Drawandbisecttheangleof150 .

D. Solve:(Anyone)

(10)

1. Findthebaseofaparallelogramwhenitsheightis16mandarea is560m .

2. Findthecostoflevellingaplotof200mlengthand140mbreadth attherateofRs.4.50/m andalsofindthecostoffencingtheplot

attherateofRs.90/m.

E. Howmanycubesof1cmwecancutfromacuboidofthe dimensionof10cm×12cm×15cm?

F. Readthefollowingbargraphwhichisshowingthedaily pocketmoneyofsomechildrenandanswerthequestions.

(10)

G. Ajunglehasthefollowingtypesofmonkeysasgiveninthe

table.

(10)

H. Readthefollowingbargraphwhichisshowingthedaily pocketmoneyofsomechildrenandanswerthequestions.

I. Readthefollowingbargraphwhichisshowingthedaily pocketmoneyofsomechildrenandanswerthequestions.

J. Readthefollowingbargraphwhichisshowingthedaily pocketmoneyofsomechildrenandanswerthequestions.

(10) (10) (10)

151 ModelPaper

ModelPaper-4

(Term -IV)

TimeAllowed:2:30Hours Marks:100

A. Ifthefollowingarecomplementary angles,thenwritethedegree

measureofthesecondangle.(Anyone)

1. 45 2. 1

(10)

B.Constructthe ABC,when. (10)

C. Drawandbisectthe48 .

(10)

D. Solve:(Anyone)

(10)

1. Findtheareaandperimeterofarectangularpoolwhoselengthis

17mandbreadthis9m.

2. Findthelengthofarectangularhallwhenitsbreadthis12mand

theareaofthehallis216m.

E. Findtheinternalsurfaceareaofaroomwhosedimensionsare

4m×2.5m×6m. (10)

F. Drawabar graphandalinegraphbyusingthefollowing data.

(10)

G. Ajunglehasthefollowingtypesofmonkeysasgiveninthe

table.

(10)

H. Constructthefollowingrightangledtriangles.

(10)

I. Constructthefollowingtrianglesbyusingaprotractor,apair

ofcompassesandaruler.(Anyone)

(10)

J. Constructthefollowinganglesbyusingaprotractor.

(10)

1. 2.