Sectoral Finals - Grade 1 - 2014

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    2014 Metrobank-MTAP-DepEd Math ChallengeSectoral Finals - rade 1

    1!-second "#estions

    1. There are 12 balloons in the room. One fourth of the balloons are white. How many balloons

    are white? [3]

    2. Teacher has 84 popsicle stics. How many !roups of ten popsicle stics are there?

    [8]3. " bar of chocolate is to be #i$i#e# e%ually amon! 2 boys an# 3 !irls.&hat part of the chocolate will the !irls recei$e?

    [3'(]4. &hat number is 1) more than the #i*erence between 1( an# +?

    [1,](. -f the 3 in 32( is chan!e# to + by how much is the number increase#?

    [,))],. &hen you write the number wor# /00 twice without space what is the 8th letter?

    [ ]. y fa$orite boo is (th from the left an# ,th from the ri!ht on my shelf.How many boos are in my booshelf?

    [1)]8. &hat is the answer to5 24 6 2) 7 1, 6 12 7 8 6 4?

    [12]+. uan be!an #oin! his homewor at ,51( p.m.. He spent ( minutes #oin! it.&hat time #i# he 9nish?

    [53)p.m]1). 0i!hteen more than the #i*erence between 21 an# 1+ e%uals to what number?

    [2)]

    11. -f 1( is a##e# to2

    1

    of 4) what is the sum?

    [3(]

    $0-second "#estions

    1. &hile campin! you lea$e your tent. :ou wal 2)) m north turn west an# wal 1,) mturn south an# wal 1() m. ;inally you turn east an# wal 1,) m. How far are you from yourtent? [() m]2. How much more is 1'2 of

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    How many centimeters lon! will be each piece?[,) or ,)cm]4. There are 12 re# balls in a bo>. There are ( less than twice as many blue balls as re# balls inthe bo>.How many balls are in the bo>?[31](. Doly eats 1 Aelly ace on October 1st 3 on October 2n# ( on October 3r# an# so on until October.0ach #ay she eats 2 more than the #ay before. -n all how many Aelly ace #i# Doly eat fromOctober 1 to ? [3,],. &hat number maes the statement true in 22) E22 F GGGG > 22?[+] Clincher1. &hat is twel$e more than 1( 7 18?[4(]2. oe has to catch a train at 53). He is still at home at ,54(. -f he taes 38 minutes to each thestation  will he catch the bus?[:es]3. ;in# the sum of5 81 7 28 7 2 7 3 7 ,3 7 4, 7 (4 7 4( 74

    [43)]

    Do or DieIoI. There are a total of 1)) men an# women on an airplane. There are 12 more women thanmen.&hat is the number of women in the airplane?[(,]

    1!-second "#estions1. There are 12 balloons in the room. One fourth of the balloons are white. How many balloons

    are white? [3]sa!ot nyo po here ay 18 anina

    1). 0i!hteen more than the #i*erence between 21 an# 1+ e%uals to what number?

    [2)]ori!inal problem is0i!hteen more than the #i*erence between 21 an# 1+ e%uals GGGGGG.

    $0-second "#estions

    1. &hile campin! you lea$e your tent. :ou wal 2)) m north turn west an# wal 1,) mturn south an# wal 1() m. ;inally you turn east an# wal 1,) m. How far are you from your

    tent? [() m] 2)) 6 1() F ()m

    2. How much more is 1'2 of !a$e =en 2 pens an# =en !a$e "le> 4 penshow many pens has "le> at the en#?

    [+]

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      6 2 7 4 F +

    ,. ary@s soccer team ha# 12 i#s. ;our more i#s Aoine# the team later.Half of all the team members play piano. How many of those i#s play piano?

    [8]

    1-%in#te "#estions

    1. aria an# Bosa compare the number of boos they ha$e. aria says she has twice as many

    boos as Bosa.Bosa says she has 4 fewer boos than aria. =oth !irls are correct. How many boos #o they

    ha$e alto!ether? [12]

    aria K2>L Bosa K>L then mas aunti n! 4 si Bosa so bale possible answers ay K 2 1L K42L K, 3LK8 4L  K8 7 4L F 12

    2. Cete will buil# a fence aroun# his $e!etable !ar#en. His !ar#en is 12 m lon! an# + m wi#e.How many meters of fencin! material #oes he nee#?[42 m]21 > 2 F 42 m

    3. ane has 3 m of ribbon. /he will #i$i#e it into ( e%ual pieces.How many centimeters lon! will be each piece?[,) or ,)cm]

    3)) ' ( F ,)

    4. There are 12 re# balls in a bo>. There are ( less than twice as many blue balls as re# balls inthe bo>.How many balls are in the bo>?[31] Be# balls F 12

    =lue balls ay F 2K12L 6 ( F 1+

    Carehas lan! ba n! meanin! un! ( less than twice as many blue balls as re# balls at ( less thantwice as many re# balls as blue balls

    (. Doly eats 1 Aelly ace on October 1st 3 on October 2n# ( on October 3r# an# so on until October.0ach #ay she eats 2 more than the #ay before. -n all how many Aelly ace #i# Doly eat fromOctober 1 to ? [3,] 1 7 3 7 ( 7 7 + 7 11 7 13 F 3,

    ,. &hat number maes the statement true in 22) E22 F GGGG > 22?[+] 

    Clincher1. &hat is twel$e more than 1( 7 18?[4(]1( 7 18 7 12 F 4( 2. oe has to catch a train at 53). He is still at home at ,54(. -f he taes 38 minutes to each thestation  will he catch the bus?[:es]

     oe will be in the station at 523 3. ;in# the sum of5 81 7 28 7 2 7 3 7 ,3 7 4, 7 (4 7 4( 74

    [43)] &ahala na silang %agpair haha' nagcalc#lator ako hehe

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    Do or DieIoI. There are a total of 1)) men an# women on an airplane. There are 12 more women thanmen.&hat is the number of women in the airplane?[(,]

    1)) 6 2 F ()  () 7 , F (, an! !umamit n! M ma!alin! hehe

    MET()&A*+-MTAP-DEP ED MAT, C,AE*E(egional Finals - rade 1

    1!-second "#estions 2 points each

    1. other #uc taes her #uclin!s for a wal. They forme# a line. /he counts her babies as shewals.

     There are , #uclin!s in front of her an# #uclin!s behin# her. How many #ucs are there inall? /142. ose an# Ce#ro ha$e 12 pencils each. "fter usin! up the same number of pencils ose has 3

    pencils left.How many pencils #oes Ce#ro ha$e left?

    /$ $. To#ay is /atur#ay. &hat #ay of the wee is ( #ays after tomorrow?/Frida4. " water fountain leas half a liter of water in one hour. How many liters of water #oes it lea ina #ay? /12 !. y uncleNs !ar#en has 1) tomato plants 14 e!!plants an# 1, corn plants. -n summer (tomato plants #ie#.

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      How many plants are still ali$e?/$!. "leAo =erto an# arlos each ha# 12 !rapes on their plate at the be!innin! of a party.

    "t the en# of the party "leAo ha# 1 !rape left =erto ha# 3 !rapes left an# arlos ha# ( !rapesleft.

    &ho ate the most !rapes an# how many?/Ale3o 5 grapes6. -n 8,+ which #i!it has the !reatest $alue?/7

    7. &hat is the answer to5 ++8 7 ++8 7 4 7 + 7 + ?

    /2017

    5. =eaNs chicen lays ( e!!s a wee. arlaNs chicen lays , e!!s a wee.

    How many e!!s in all #o both chicens lay in 3 wees?

    /$$

    10. Three i#s eat 1 man!o each at the same time. -t too them 3 minutes to eat them.

    How many minutes #oes it tae for , i#s to 9nish eatin! , man!oes? 0ach i# eats 1 man!o.

    /$ %in#tes

    11. TwentyEsi> chil#ren line up in a row. -f "nn is number 1) from the front of the line

    what is her number countin! from the bac of the line?

    /1

    $0-second "#estions $ points each

    1. uana starte# to rea# pocet boos. /he rea# 2 pocet boos in anuary 4 pocet boos in

    ;ebruary , pocet boos in arch. -f she continues to rea# 2 more pocet boos each month

    how many pocet boos in all woul# she ha$e rea# by the en# of ay?

    /$0

    2. ina bou!ht two boos. The total cost is 3)) pesos. -f one boo costs () pesos more than the

    other how much #oes the cheaper boo cost?

    /Php12!

    3. &hat is the time #i*erence between 451( am an# +523 am on the same #ay? /!

    ho#rs and 7 %in#tes

    4. To#ay is ;ebruary 1( 2)14. Dia celebrate# her birth#ay 2) #ays a!o. &hen is her birth#ay?

    /8an#ar 2

    !. &hat is the smallest 3E#i!it number that lea$es a remain#er of 1 when #i$i#e# by (?

    /101

    . -f 1'4 of a number is a##e# to itself the answer is 1)) 9n# the number.

    /70

    1-%in#te "#estions ! points each

    1. "lice has sticers. =en has 8 sticers. -f "lice !a$e =en 2 sticers an# =en !a$e "lice 4

    sticers how many sticers #o each of them ha$e at the en#?

    /Alice 59 &en

    2. ;ill the empty circles so that the sum of the 3 numbers on each si#e of the trian!le is 18.

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    $. 0mma has Aust transferre# to a new school. /he met ( other !irls who are also transferees.

     They all shoo han#s with each other. How many han#shaes were ma#e?

      /1!

    4. =en collecte# 1( coins an# separate# them into ( piles. 0ach pile has a #i*erent number of

    coins. How many coins are there in each pile?

    /1'2'$'4'!

    !. Pse the #i!its 1 3 an# ( to form 3E#i!it numbers. Io not use the same #i!it more than once

    in any 3E#i!it number.&hat is the thir# lar!est number?

    /$!1

    . ain! cuts across the #iameter a worer can cut a lo! into 2 pieces in ( minutes.How lon! will it tae the worer to cut a lo! of the same sie into 4 pieces?/1! %in#tes 

    Clincher

    C1. There is a number between 1 an# +. -t is not smaller than (. -t is an e$en number.

      &hen you tae away 4 the result is lar!er than 3. &hat is this number:

    /7

    C2.  immy is years ol# an# his #a# is 3( years ol#. -n 2) years

    how many years ol#er is immy@s #a# than immy?

    /27 ears

    3. -f the month now is ;ebruary what month will it be 4) months from now?/8#ne

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    Io or Iie5

    DoD.  - went to a store an# spent2

    1

      of my money an# C( more. Then - went to a secon# store

    where - spent4

    1

     of my ori!inal money plus C.() more. - ha# e>actly C12.() left. How much

    money ha# - at 9rst? /P100

    C&0I0 "J-/"&/"& hehe

    K1L i$en three consecuti$e whole numbers such that the ones #i!it of the pro#uct of thesmallest an# bi!!est is + what is the ones #i!it of the mi##le number?[)]K2L &hat is the !reatest possible area of a trian!le with one si#e of len!th 8 an# another si#e oflen!th 1)? [4)]K3L -n a certain store the re!ular price of a ba! is 8)) pesos. How much money is sa$e# bybuyin! this ba! at 2) percent o* the re!ular price rather than buyin! it on sale at 1) percent o*

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    the re!ular price with an a##itional #iscount of 1)Q o* the sale price?[8 pesos]K4L onsi#er the pattern 123123123R&hat is the sum of the 9rst 1)) numbers?[1++]K(LThere are many numbers which #i$i#e 1)+ with a remain#er of 4. Dist "DD twoE#i!it numbersthat ha$e this property. [1( 21 3(]

    K,LHow many numbers less than 1)) ha$e a remain#er of 3 when #i$i#e# by ?[14 numbers];6imum number of marbles that any of the person canha$e? [8];7< How many numbers between 1 an# 1)) is the pro#uct of two consecuti$e numbers?[+]K+L" class of () stu#ents is to be #i$i#e# into smaller !roups. -f each !roup is to contain 34or (

    people what is the lar!est number of !roups possible?

    [1,]

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    2014 Metrobank-MTAP-DepEd Math ChallengeSectoral Finals - rade 2

    1!-second "#estions1. oanna is the 9rst person stan#in! on the line. Her frien# ane is the 18th person on that same

    line.How many people are stan#in! between them on the line?

    [1, ]

    2. =ert is 8 years ol#er than his sister. The sum of their a!es is 2,. How ol# is =ertNs sister?[+ years ol# ]

    3. /e$en frien#s plan to or#er pia for their !et to!ether party. 0ach will ha$e a share4

    1

     of a

    pia.How many pias shoul# they or#er?

    [2]

    4. " ba! that ori!inally sells for < 3,) is on sale for4

    1

    o* the price.

    How much is the #ecrease in the price of the ba!?

    [< +)]

    (. 2) 6 18 7 1, 6 14 7 12 6 1) 7 8 6 , 7 4 6 2 F GGGGG

    [1) ],. " paca!e that was sent at 1)53) a.m. was recei$e# the ne>t #ay at 11 a.m.How many hours #i# it tae before the paca!e was recei$e#?

    [2

    124

    ]. aria spent oneEthir# of her money. /he then ha# < 8) left. How much money #i# she start

    with? [< 12)]8. &hat is the lar!est number that can be forme# usin! all the #i!its ) 8 an# (?

    [8() ]+. " baset contains 12 man!oes an# 1( bananas only. Three more man!oes are a##e# to the

    baset.&hat fraction of the fruits in the baset are man!oes?

    [30

    15

     or2

    1

    ]

    1). There are 32 stu#ents in the class. ThreeEfourths of them passe# the e>am.How many stu#ents faile# the e>am?[8]11. ina can mae 8 !lasses of Auice #rin from one can of Auice. -f she will ha$e 3( $isitorshow many cans of Auice shoul# she buy?[(]$0-second "#estions1. -saac has 3( sticers. /eth has 48 fewer sticers than -saac. How many sticers #o they ha$eto!ether? [)2 ]2. There were 32 can#ies in a bo>. Du !ot 1'8 of them an# Bita !ot 1'4 of them.How many can#ies remaine# in the bo>?[2)]3. -f you subtract + from my number an# then #i$i#e the result by 3 you !et (. &hat is mynumber? [24]4. How much more is oneEhalf of 12 than oneEthir# of 1(?[ 1 ](. Jate an# ina to!ether ha$e

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    1.elso an# Te# built pens for their #o!s. elso ma#e a pen 1) meters by 8 meters. Te#@s pen is12 meters by , meters. &ho will nee# more fencin! to buil# the pen? =y how many meterslon!er? [either one of them.]2. 0lsa an# her sister "ra wante# to buy a #oll for 3,) pesos. "ra ha# 4) pesos more than 0lsa.

     To!ether they ha# enou!h money to buy the #oll. How much money #i# "ra ha$e?[< 2))]3. " bo> of man!oes was #eli$ere# to our house. other put half of the man!oes asi#e. Then sheput ( of the remainin! man!oes in the refri!erator. That left 2 man!oes. How many man!oeswere in the bo> at 9rst? [14 ]4. Ducy has a pi!!y ban. "ll the coins in it are (Epeso coins. &hen the pi!!y ban became fullshe opene# it an# spent .How many coins were in the pi!!y ban when Dorie opene# it?[< 1)](. ;our man!oes an# 3 atis cost

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    ,. " paca!e that was sent at 1)53) a.m. was recei$e# the ne>t #ay at 11 a.m.How many hours #i# it tae before the paca!e was recei$e#?

    [2

    124

    ]1 da B $0 %in#tes = 24.! ho#rs

    . aria spent oneEthir# of her money. /he then ha# < 8) left. How much money #i# she start

    with? [< 12)]2 parts = 70  $ parts = 120

    8. &hat is the lar!est number that can be forme# usin! all the #i!its ) 8 an# (?

    [8() ]7!0

    +. " baset contains 12 man!oes an# 1( bananas only. Three more man!oes are a##e# to the

    baset.&hat fraction of the fruits in the baset are man!oes?

    [30

    15

     or2

    1

    ]12 B $ = 1!  1!>$0 = 1>2

    1). There are 32 stu#ents in the class. ThreeEfourths of them passe# the e>am.How many stu#ents faile# the e>am?[8]

    $2 ? = 7

    11. ina can mae 8 !lasses of Auice #rin from one can of Auice. -f she will ha$e 3( $isitorshow many cans of Auice shoul# she buy?[(]

    $!> 7 appr? = 4.so%ething !

    $0-second "#estions1. -saac has 3( sticers. /eth has 48 fewer sticers than -saac. How many sticers #o they ha$eto!ether? [)2 ]saac $6!' Seth $6! 47 = $26  $6! B $26 = 602

    2. There were 32 can#ies in a bo>. Du !ot 1'8 of them an# Bita !ot 1'4 of them.

    How many can#ies remaine# in the bo>?[2)]$2 ? 1>7 = 4 ;#@

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    peri%eter ? 2 = 40 % ;%ali #ng #nang sagot ko<

    1-%in#te "#estions1.elso an# Te# built pens for their #o!s. elso ma#e a pen 1) meters by 8 meters. Te#@s pen is12 meters by , meters. &ho will nee# more fencin! to buil# the pen? =y how many meterslon!er? [either one of them.]

    pata ang %ga batang d inglesero haha' ta%a po ba sagot ko

    2. 0lsa an# her sister "ra wante# to buy a #oll for 3,) pesos. "ra ha# 4) pesos more than 0lsa. To!ether they ha# enou!h money to buy the #oll. How much money #i# "ra ha$e?[< 2))]

    $0 > 2 = 170  170B 20 = 2003. " bo> of man!oes was #eli$ere# to our house. other put half of the man!oes asi#e. Then sheput ( of the remainin! man!oes in the refri!erator. That left 2 man!oes. How many man!oeswere in the bo> at 9rst? [14 ]

    2 B ! = 6  6 ? 2 = 14

    4. Ducy has a pi!!y ban. "ll the coins in it are (Epeso coins. &hen the pi!!y ban became fullshe opene# it an# spent .How many coins were in the pi!!y ban when Dorie opene# it?[< 1)]

    2! ? B 4 ? ! = 1!0 B 20 = 160

    (. ;our man!oes an# 3 atis cost

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    1 o li$es on the 8th oor from the bottom an# (th oor from the top of a buil#in!.How many oors #oes the buil#in! ha$e?[ ]

    2 =ert is ol#er than his sister by 4 years. His sister is now years ol#. &hat is the sum of theira!es? [ ]

    3 Twenty frien#s plan to or#er pia for their !et to!ether party. 0ach will ha$e a share of 1'4 of a pia.How many pias shoul# they or#er?[ ]

    4 &hat is the answer to 5 24 6 21 7 18 6 1( 7 12 6 + 7 , E 3 ?[ ]

    ( &hat is the tens #i!it of the lar!est fourE#i!it number forme# by all the #i!its ( 8 an# +?[ ]

    , &hat two factors of ,3 ha$e a sum of 24?[ ]

    3'8 is e%ual to how many ,4ths?[ ]

    8 " school yar# is 8 m lon! an# ,( m wi#e. -f you wal thrice aroun# it how many meterswoul# that be? [ ]

    + &hen Du an# ina reache# the mo$ie house the !uar# sai# the mo$ie starte# at 53).-f the mo$ie 9nishe# at +54( how lon! #i# the mo$ie last?[ ]

    1) -f ( is a##e# to the numerator an# #enominator of '1) !i$e in the lowest termEfraction thatresults. [4'(]

    11 "## the number of months in a year the number of #ays in a wee an# the number ofminutes in an hour.&hat is the sum?[+]

    $0-second "#estions

    1. " ra#e 3 class bae# 4 caes. They cut each into 1, e%ual pieces. They sol# (+ pieces.&hat fraction of a cae remaine#?[ ]2. " !roup of 32) stu#ents went to the oo. The school hire# buses which can seat 4( stu#entseach.;i$e of the stu#ents went to the oo by car. How many buses were hire#?[ ]3. Train stations are ( m apart. &hile ri#in! a fast train erry counte# 3 stations in one hour one at the be!innin! an# the thir# at the en#. How many ilometers #i# the train co$er in onehour? [ ]4. The #i!its of a fourE#i!it number are 1 3 , an# + but not necessarily in that or#er. The thousan#s #i!it is prime. The hun#re#s #i!it is 3 more than the tens #i!it. &hat is thenumber? [3+,1]

    1-%in#te "#estions

    1. There are (4 pupils in a class. ;ourEninths of them are !irls an# 3'8 of the !irls are !irl scouts.How many !irls in the class are !irl scouts?[ ]2. =in! an# =on! to!ether ha$e 3)) sticers. They want to ha$e the same number of sticers. To#o that=in! has to !i$e =on! 42 sticers. How many sticers #i# =on! ha$e at 9rst?[ ]3. " total of 2) marbles are place# into ( cups. 0ach cup has a #i*erent number of marbles.ocup has e>actly 4 marbles an# no cup is empty. &hat is the !reatest number of marbles that anyone cup can ha$e? [+]

    4. -n the class election "nn !ot ( fewer $otes than =ob. =ob !ot 3 $otes more than lara who!ot 4 fewer $otes than Iel. How many more $otes #i# Iel !et than "nn?[,](. Bose an# Ueny starte# with #i*erent numbers. Bose ept a##in! ( to her number up to (times. Ueny ept a##in! to her number also up to ( times. The #i*erence in the sums thatthey !ot is 8. &ith what smallest whole number #i# each !irl start?[Bose 2S Ueny )],. Dori bou!ht a #ress for Chp ,(). /he also bou!ht a pair of sneaers that cost three times asmuch as the #ress./he ha# Chp 4)) left in her bacpac. How much money #i# she ha$e before the purchase?[ ]

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    Clincher.1. " farmer sol# 3'( of his chicens. -f he ha# 28 chicens left how many chicens ha# he at9rst? [ ].2. One section of ra#e 3 pupils bou!ht 4 bo>es of canne# mil. 0ach bo> has 48 cans. Theyput 3 cans in each hristmas paca!e. How many paca!es #i# they ha$e?[ ].3.The perimeter of a rectan!ular !ar#en is ,2 m. -f the len!th is ( m lon!er than the wi#thwhat is the wi#th of the !ar#en?[ ]

     

    Do-or Die #estionIoI. =enNs mother is 4 times as ol# as =en is now. -n , years =enNs mother will be 3 times asol# as =0nwill be then. How ol# is =en now?[12]

    2014 Metrobank-MTAP-DepEd Math ChallengeSectoral Finals - rade 2

    1!-second "#estions1. oanna is the 9rst person stan#in! on the line. Her frien# ane is the 18th person on that same

    line.How many people are stan#in! between them on the line?

    [ ]2. =ert is 8 years ol#er than his sister. The sum of their a!es is 2,. How ol# is =ertNs sister?

    [ ]

    3. /e$en frien#s plan to or#er pia for their !et to!ether party. 0ach will ha$e a share4

    1

     of a

    pia.How many pias shoul# they or#er?

    [ ]

    4. " ba! that ori!inally sells for < 3,) is on sale for4

    1

    o* the price.

    How much is the #ecrease in the price of the ba!?[ ]

    (. 2) 6 18 7 1, 6 14 7 12 6 1) 7 8 6 , 7 4 6 2 F GGGGG

    [ ],. " paca!e that was sent at 1)53) a.m. was recei$e# the ne>t #ay at 11 a.m.How many hours #i# it tae before the paca!e was recei$e#?

    [ ]. aria spent oneEthir# of her money. /he then ha# < 8) left. How much money #i# she start

    with? [ ]8. &hat is the lar!est number that can be forme# usin! all the #i!its ) 8 an# (?

    [ ]

    +. " baset contains 12 man!oes an# 1( bananas only. Three more man!oes are a##e# to thebaset.&hat fraction of the fruits in the baset are man!oes?

    [ ]

    1). There are 32 stu#ents in the class. ThreeEfourths of them passe# the e>am.How many stu#ents faile# the e>am?11. ina can mae 8 !lasses of Auice #rin from one can of Auice. -f she will ha$e 3( $isitorshow many cans of Auice shoul# she buy?[ ]

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    $0-second "#estions1. -saac has 3( sticers. /eth has 48 fewer sticers than -saac. How many sticers #o they ha$eto!ether? [ ]2. There were 32 can#ies in a bo>. Du !ot 1'8 of them an# Bita !ot 1'4 of them.How many can#ies remaine# in the bo>?[ ]3. -f you subtract + from my number an# then #i$i#e the result by 3 you !et (. &hat is mynumber? [ ]4. How much more is oneEhalf of 12 than oneEthir# of 1(?[ ](. Jate an# ina to!ether ha$e of man!oes was #eli$ere# to our house. other put half of the man!oes asi#e. Then sheput ( of the remainin! man!oes in the refri!erator. That left 2 man!oes. How many man!oeswere in the bo> at 9rst? [ ]4. Ducy has a pi!!y ban. "ll the coins in it are (Epeso coins. &hen the pi!!y ban became fullshe opene# it an# spent .How many coins were in the pi!!y ban when Dorie opene# it?[ ](. ;our man!oes an# 3 atis cost

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    1, &hat is the tens #i!it of the lar!est fourE#i!it number forme# by all the #i!its ( 8 an# +?[ ]

    1 &hat two factors of ,3 ha$e a sum of 24?[ ]

    18 3'8 is e%ual to how many ,4ths?[ ]

    1+ " school yar# is 8 m lon! an# ,( m wi#e. -f you wal thrice aroun# it how many meterswoul# that be? [ ]

    2) &hen Du an# ina reache# the mo$ie house the !uar# sai# the mo$ie starte# at 53).-f the mo$ie 9nishe# at +54( how lon! #i# the mo$ie last?[ ]

    21 -f ( is a##e# to the numerator an# #enominator of '1) !i$e in the lowest termEfraction thatresults. [4'(]

    22 "## the number of months in a year the number of #ays in a wee an# the number ofminutes in an hour.&hat is the sum?[+]

    $0-second "#estions

    1. " ra#e 3 class bae# 4 caes. They cut each into 1, e%ual pieces. They sol# (+ pieces.&hat fraction of a cae remaine#?[ ]2. " !roup of 32) stu#ents went to the oo. The school hire# buses which can seat 4( stu#entseach.;i$e of the stu#ents went to the oo by car. How many buses were hire#?[ ]3. Train stations are ( m apart. &hile ri#in! a fast train erry counte# 3 stations in one hour one at the be!innin! an# the thir# at the en#. How many ilometers #i# the train co$er in onehour? [ ]4. The #i!its of a fourE#i!it number are 1 3 , an# + but not necessarily in that or#er. The thousan#s #i!it is prime. The hun#re#s #i!it is 3 more than the tens #i!it. &hat is thenumber? [3+,1]

    1-%in#te "#estions

    1. There are (4 pupils in a class. ;ourEninths of them are !irls an# 3'8 of the !irls are !irl scouts.How many !irls in the class are !irl scouts?[ ]2. =in! an# =on! to!ether ha$e 3)) sticers. They want to ha$e the same number of sticers. To#o that=in! has to !i$e =on! 42 sticers. How many sticers #i# =on! ha$e at 9rst?[ ]3. " total of 2) marbles are place# into ( cups. 0ach cup has a #i*erent number of marbles.ocup has e>actly 4 marbles an# no cup is empty. &hat is the !reatest number of marbles that any

    one cup can ha$e? [+]4. -n the class election "nn !ot ( fewer $otes than =ob. =ob !ot 3 $otes more than lara who!ot 4 fewer $otes than Iel. How many more $otes #i# Iel !et than "nn?[,](. Bose an# Ueny starte# with #i*erent numbers. Bose ept a##in! ( to her number up to (times. Ueny ept a##in! to her number also up to ( times. The #i*erence in the sums thatthey !ot is 8. &ith what smallest whole number #i# each !irl start?[Bose 2S Ueny )],. Dori bou!ht a #ress for Chp ,(). /he also bou!ht a pair of sneaers that cost three times asmuch as the #ress./he ha# Chp 4)) left in her bacpac. How much money #i# she ha$e before the purchase?[ ]

    Clincher.1. " farmer sol# 3'( of his chicens. -f he ha# 28 chicens left how many chicens ha# he at9rst? [ ].2. One section of ra#e 3 pupils bou!ht 4 bo>es of canne# mil. 0ach bo> has 48 cans. Theyput 3 cans in each hristmas paca!e. How many paca!es #i# they ha$e?[ ].3.The perimeter of a rectan!ular !ar#en is ,2 m. -f the len!th is ( m lon!er than the wi#thwhat is the wi#th of the !ar#en?[ ]

     

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    Do-or Die #estionIoI. =enNs mother is 4 times as ol# as =en is now. -n , years =enNs mother will be 3 times asol# as =0nwill be then. How ol# is =en now?[12]

    2014 Metrobank-MTAP-DepEd Math ChallengeSectoral Finals - rade $

    1!-second "#estions23 o li$es on the 8th oor from the bottom an# (th oor from the top of a buil#in!.

    How many oors #oes the buil#in! ha$e?[12 ]

    24 =ert is ol#er than his sister by 4 years. His sister is now years ol#. &hat is the sum of theira!es? [ 18 years]

    2( Twenty frien#s plan to or#er pia for their !et to!ether party. 0ach will ha$e a share of 1'4 of a pia.How many pias shoul# they or#er?

    [(]2, &hat is the answer to 5 24 6 21 7 18 6 1( 7 12 6 + 7 , E 3 ?

    [12]2 &hat is the tens #i!it of the lar!est fourE#i!it number forme# by all the #i!its ( 8 an# +?

    [ ]28 &hat two factors of ,3 ha$e a sum of 24?

    [21 an# 3 ]2+ 3'8 is e%ual to how many ,4ths?

    [24]3) " school yar# is 8 m lon! an# ,( m wi#e. -f you wal thrice aroun# it how many meters

    woul# that be? [8(8 m ]31 &hen Du an# ina reache# the mo$ie house the !uar# sai# the mo$ie starte# at 53).

    -f the mo$ie 9nishe# at +54( how lon! #i# the mo$ie last?

    [4

    12

    h]32 -f ( is a##e# to the numerator an# #enominator of '1) !i$e in the lowest termEfraction that

    results. [5

    4

    ]33 "## the number of months in a year the number of #ays in a wee an# the number of

    minutes in an hour.&hat is the sum?

    [+]$0-second "#estions

    1. " ra#e 3 class bae# 4 caes. They cut each into 1, e%ual pieces. They sol# (+ pieces.&hat fraction of a cae remaine#?

    [16

    5

    ]2. " !roup of 32) stu#ents went to the oo. The school hire# buses which can seat 4( stu#entseach.;i$e of the stu#ents went to the oo by car. How many buses were hire#?[ ]3. Train stations are ( m apart. &hile ri#in! a fast train erry counte# 3 stations in one hour one at the be!innin! an# the thir# at the en#. How many ilometers #i# the train co$er in onehour? [1() ]4. The #i!its of a fourE#i!it number are 1 3 , an# + but not necessarily in that or#er. The thousan#s #i!it is prime. The hun#re#s #i!it is 3 more than the tens #i!it. &hat is thenumber? [3+,1](. The sum of HarryNs a!e an# HermioneNs a!e is 2+ years. The sum of HarryNs a!e an# BonNs a!eis 2 years.

     The sum of HermioneNs a!e an# BonNs a!e is 24 years. ;in# the sum of the a!es of the three.[4) years]

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    ,. To#ay is ;ebruary 4 2)14. er$isN birth#ay is in 4) #ays time. &hen is his birth#ay?[arch 1,]

    1-%in#te "#estions

    1. There are (4 pupils in a class. ;ourEninths of them are !irls an# 3'8 of the !irls are !irl scouts.How many !irls in the class are !irl scouts?[+ ]2. =in! an# =on! to!ether ha$e 3)) sticers. They want to ha$e the same number of sticers. To#o that=in! has to !i$e =on! 42 sticers. How many sticers #i# =on! ha$e at 9rst?[ 1)8]3. " total of 2) marbles are place# into ( cups. 0ach cup has a #i*erent number of marbles. ocup has e>actly 4 marbles an# no cup is empty. &hat is the !reatest number of marbles that anyone cup can ha$e? [+]4. -n the class election "nn !ot ( fewer $otes than =ob. =ob !ot 3 $otes more than lara who!ot 4 fewer $otes than Iel. How many more $otes #i# Iel !et than "nn?[,](. Bose an# Ueny starte# with #i*erent numbers. Bose ept a##in! ( to her number up to (times. Ueny ept a##in! to her number also up to ( times. The #i*erence in the sums thatthey !ot is 8. &ith what smallest whole number #i# each !irl start?[Bose 2S Ueny )],. Dori bou!ht a #ress for Chp ,(). /he also bou!ht a pair of sneaers that cost three times asmuch as the #ress./he ha# Chp 4)) left in her bacpac. How much money #i# she ha$e before the purchase?[Chp 2))]

    Clincher.1. " farmer sol# 3'( of his chicens. -f he ha# 28 chicens left how many chicens ha# he at9rst? [)].2. One section of ra#e 3 pupils bou!ht 4 bo>es of canne# mil. 0ach bo> has 48 cans. Theyput 3 cans in each hristmas paca!e. How many paca!es #i# they ha$e?

    [,4 ].3.The perimeter of a rectan!ular !ar#en is ,2 m. -f the len!th is ( m lon!er than the wi#thwhat is the wi#th of the !ar#en?[13 m ]

     

    Do-or Die #estionIoI. =enNs mother is 4 times as ol# as =en is now. -n , years =enNs mother will be 3 times asol# as =en will be then. How ol# is =en now?[12 years ol#]

    2014 Metrobank-MTAP-DepEd Math ChallengeSectoral Finals - rade $

    1!-second "#estions1. o li$es on the 8th oor from the bottom an# (th oor from the top of a buil#in!.How many oors #oes the buil#in! ha$e?[12 ]7 B ! 1 =12

    2. =ert is ol#er than his sister by 4 years. His sister is now years ol#. &hat is the sum of theira!es? [ 18 years]6 B 6 B 4 = 17

    3. Twenty frien#s plan to or#er pia for their !et to!ether party. 0ach will ha$e a share of 1'4 of 

    a pia.How many pias shoul# they or#er?[(]20 ? = !

    4. &hat is the answer to 5 24 6 21 7 18 6 1( 7 12 6 + 7 , E 3 ?[12]$ ? 4 = 12

    (. &hat is the tens #i!it of the lar!est fourE#i!it number forme# by all the #i!its ( 8 an# +?[ ]

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    +86( ,. &hat two factors of ,3 ha$e a sum of 24?[21 an# 3 ]21 and $' d sa %adali ah

    . 3'8 is e%ual to how many ,4ths?[24]$>7 = >4  24

    8. " school yar# is 8 m lon! an# ,( m wi#e. -f you wal thrice aroun# it how many meterswoul# that be? [8(8 m ];67 B !< ? = 7!7 %' Ma% %alaki na po kao' s#re kao %ental to hehe

    +. &hen Du an# ina reache# the mo$ie house the !uar# sai# the mo$ie starte# at 53).-f the mo$ie 9nishe# at +54( how lon! #i# the mo$ie last?

    [4

    12

    h]Da%ing ansGers haha

    1). -f ( is a##e# to the numerator an# #enominator of '1) !i$e in the lowest termEfraction that

    results. [5

    4

    ]12>1! = 4>!

    11. "## the number of months in a year the number of #ays in a wee an# the number ofminutes in an hour.

    &hat is the sum?[+]

    12 B 6 B 0 = 65

    $0-second "#estions

    1. " ra#e 3 class bae# 4 caes. They cut each into 1, e%ual pieces. They sol# (+ pieces.&hat fraction of a cae remaine#?

    [16

    5

    ]4 ? 1 = 4' 4 !5 = !  !>1

    2. " !roup of 32) stu#ents went to the oo. The school hire# buses which can seat 4( stu#entseach.

    ;i$e of the stu#ents went to the oo by car. How many buses were hire#?[ ]

    $20 ! = $1!' $1!> 4! = 6' ang galing saktong 6 hehe

    3. Train stations are ( m apart. &hile ri#in! a fast train erry counte# 3 stations in one hour one at the be!innin! an# the thir# at the en#. How many ilometers #i# the train co$er in onehour? [1() ]

    6! ? 2 = 1!0 k%

    4. The #i!its of a fourE#i!it number are 1 3 , an# + but not necessarily in that or#er.

     The thousan#s #i!it is prime. The hun#re#s #i!it is 3 more than the tens #i!it. &hat is thenumber? [3+,1]

    $51' %a iba pa ba hehe

    (. The sum of HarryNs a!e an# HermioneNs a!e is 2+ years. The sum of HarryNs a!e an# BonNs a!eis 2 years.

     The sum of HermioneNs a!e an# BonNs a!e is 24 years. ;in# the sum of the a!es of the three.[4) years]

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    2,a B 2,e B 2( = 70  40 ears' .. Ma% ,arr Potter Hanatic ako' gaGa ko lang to'pGede no pong Gag pat#lan hehe

    ,. To#ay is ;ebruary 4 2)14. er$isN birth#ay is in 4) #ays time. &hen is his birth#ay?[arch 1,]

    B 24 das till Fen 27' then B 1 %ore das --I March 1gaGa ko rin to hehe' pGede no ring Gag pat#lan' ang da%ing na%e 8erJis pa

    hehe' HaJe st#dent ko an hehe

    1-%in#te "#estions

    1. There are (4 pupils in a class. ;ourEninths of them are !irls an# 3'8 of the !irls are !irl scouts.How many !irls in the class are !irl scouts?[+ ]E?actl the sa%e sa grade 2 clincher ro#nd ;diKc#lt<

    2. =in! an# =on! to!ether ha$e 3)) sticers. They want to ha$e the same number of sticers. To#o that

    =in! has to !i$e =on! 42 sticers. How many sticers #i# =on! ha$e at 9rst?[ 1)8]Each 1!0  1!0 42 = 107 stickers

    3. " total of 2) marbles are place# into ( cups. 0ach cup has a #i*erent number of marbles. ocup has e>actly 4 marbles an# no cup is empty. &hat is the !reatest number of marbles that anyone cup can ha$e? [+]Thr# g#essing 10 B 4 B $ B 2 B 1 %ale .. 5 B ! B $ B 2 B 1 ta%a' ang galing' anggaling L

    4. -n the class election "nn !ot ( fewer $otes than =ob. =ob !ot 3 $otes more than lara who!ot 4 fewer $otes than Iel. How many more $otes #i# Iel !et than "nn?

    [,]Ann = ? ! 9 &ob = ? 9 Clara = ? $' Del ? B 1' ang hirap na%an hehe  let sa Ana =100 Jotes' &ob = 10! Jotes' Clara = 102 Jotes' and Del = 10 Jotes  #n oh 10 100 = Jotes hehe

    (. Bose an# Ueny starte# with #i*erent numbers. Bose ept a##in! ( to her number up to (times. Ueny ept a##in! to her number also up to ( times. The #i*erence in the sums thatthey !ot is 8. &ith what smallest whole number #i# each !irl start?[Bose 2S Ueny )]

    Eto isa pang %al#pet' %a Ghole n#%ber pa hehe' s#s #n na%an pala k#ha kaagad'$! 26 = 7

    0 B 2! =

    2!

    0 B $! =

    $!1 B 2! =

    22 B 2! =

    26$ B 2! =

    274 B 2! =

    25

    ,. Dori bou!ht a #ress for Chp ,(). /he also bou!ht a pair of sneaers that cost three times asmuch as the #ress./he ha# Chp 4)) left in her bacpac. How much money #i# she ha$e before the purchase?[Chp 3)))]!0 ;dress< B !0 ? $ ; sneakers< B 400 = P$000' %a% %ali #ng sagot ko sa #nang

    pinadala ko

    Clincher.1. " farmer sol# 3'( of his chicens. -f he ha# 28 chicens left how many chicens ha# he at9rst? [)]

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    2 parts = 27  ! parts = 60

    .2. One section of ra#e 3 pupils bou!ht 4 bo>es of canne# mil. 0ach bo> has 48 cans. Theyput 3 cans in each hristmas paca!e. How many paca!es #i# they ha$e?[,4 ]

    ; 4 ? 47< > $ = 4

    .3.The perimeter of a rectan!ular !ar#en is ,2 m. -f the len!th is ( m lon!er than the wi#thwhat is the wi#th of the !ar#en?[13 m ]

     Den!th F > 7 ( wi#th F >  31 7 ( F 3,  3,'2 F 18  18 6 ( F 13 cm

    Do-or Die #estionDoD. &ens %other is 4 ti%es as old as &en is noG. n ears' &ens %other Gill be $ti%es as old as &en Gill be then. ,oG old is &en noG:/12 ears old

    aGa #li ng table' #n oh 17 and !4' ang %aga9gebra o proportion' ?ie%pre %ah#sa

    haha' ang gagaling ng %ga bata hehe

    &en Mo

    %

    &en

    B

    Mo

    %

    B10 40 1 411 44 16 !012 47 17 !41$ !2

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    MET()&A*+-MTAP-DEP ED MAT, C,AE*E(egional Finals - rade $

    1!-second "#estions 2 points each1. " piece of lumber was cut into pieces each piece 4 meterE lon!. Three cuts were ma#e.

    How lon! was the lumber?/1 %2. &en! is rea#in! a boo that has 14( pa!es. -f she rea#s pa!es a #ay

    how lon! will it tae her to 9nish the boo?

    /21 das  

    $. y math teacher bou!ht , bo>es of marers an# 4 bo>es of pens. -t cost her 3,) pesos. y

    science teacher

    bou!ht ( bo>es of the same marers an# 4 bo>es of the same pens. -t cost him 32) pesos.

    How much #oes each bo> of marers cost?

    /40 pesos

    4. " !roup of i#s sit in a !ym to watch a basetball !ame. ountin! from the aisle ose

    is the th

    an# Ce#ro is the1,th. How many i#s are there between ose an# Ce#ro?

    /7

    !. "lin! Curin! has 2 roosters an# , hens. The chicens lai# 24 e!!s in all.

    -f each hen lays the same number of e!!s how many e!!s #i# each hen lay?/4

    . -f 12 man!oes represent3

    11

     of the man!oes that - bou!ht how many man!oes #i# - buy?/5

    6. How many 2 cm by 2 cm s%uare tiles can co$er a s%uare boar# with an area of 1, s% cm?/4

    7. =en bou!ht a boolet of ticets for the ri#es at "main! Jin!#om. Twel$e of the ticets werere#.

     There were twice as many re# ticets as blue ticets. How many ticets #i# =en buy in all?  /17

    5. How many whole numbers #i$i#es 12 an# lea$es no remain#er?/10. ica is 1) years ol#. Her father is 28 years ol#er than her but 3 years ol#er than her mother.

    How ol# is icaNs mother?/$! ears old

    11. &hat is the #i*erence between the smallest fourE#i!it o## number an# thelar!est twoE#i!it number?/502

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    $0-second "#estions $ points each

    1. "fter #istributin! 3) boos to each of the , !ra#e 3 classes there were 14 boos left. How

    many boos were there in all?

    /154

    2.  The perimeter of a rectan!le is () cm. One si#e is 1) cm. &hat is the area of the rectan!le?

    /1!0c%2

    $. " boo store carries 41 0n!lish calen#ars an# 48 hinese calen#ars. 0$ery#ay the store sells3 0n!lish calen#ars an# 4 hinese calen#ars. "fter how many #ays will there be the samenumber of both calen#ars left in the store? [6das4. aria sets the time of her watch at 5)) am. &hen school was o$er at 35)) pm ariaNs watchshowe# 252) pm. -f aria@s watch slows #own same amount of the time each hour how manyminutes #oes her watch slow #own each hour?/! %in#tes!. " lon! #istance runner in trainin! taes water breas from time to time. "t half way point shetaes a water brea. /he then taes another water brea after she reaches mi# point of theremainin! course. "t this point she has ( more miles to !o. &hat is the total #istance she runs?

    /20 %iles. ;in# three consecuti$e whole numbers so that when multiplie# to!etherthe pro#uct is as close as possible to 1))). /5' 10' 11

    1-%in#te "#estions ! points each

    1. 0ric rea#s a boo that has +, pa!es. How many times #oes the #i!it V4V appear on the pa!e

    numbers of the boo? [11]

    2. " fruit $en#or sol# +8 man!oes on the 9rst #ay. On the 2n# #ay he sol# 12 more man!oes

    than he #i# on the 9rst #ay. On the 3r# #ay he sol# 8 less man!oes than he sol# on the 2n# #ay.

    How many man!oes #i# the $en#or sell all 3 #ays to!ether?

    /$10

    $. The #iameter of the bi! circle is 1) cm. The #iameter of the small circle is 4

    cm.

    &hat is the area of the sha#e# re!ion?

    /21

    π  

    c%2

    4. There are 4( pupils in a class. ;ourEninths of them are !irls an#5

    3

    of the !irls are !irl scouts.How many !irls in the class are !irl scouts?/12

    !. &hat is the perimeter of the followin! shape?

    3)

    2)

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    $. The #iameter of the bi! circle is 1) cm. The #iameter of the small circle is 4

    cm.

    &hat is the area of the sha#e# re!ion?

    4. There are 4( pupils in a class. ;ourEninths of them are !irls an#5

    3

    of the !irls are !irl scouts.How many !irls in the class are !irl scouts?

    !. &hat is the perimeter of the followin! shape?

    . One banana an# one peach wei!h the same as 14 strawberries. Two peaches wei!h the same

    as 1) strawberries. How much #oes a banana wei!h compare# to strawberries?

    C$. Do!an wants to or!anie his marbles by puttin! them in ba!s. -f he places 3 marbles in each

    ba! he has 2 left. -f he places 4 marbles in each ba! he has 2 left. -f he places ( marbles in

    each ba! he has 2 left. &hat is the minimum number of marbles Do!an has?

    Do or Die

    DoD. There are 4( stu#ents in a class. 0$ery stu#ent plays at least one of the two sports5

    basetball an# $olleyball. TwentyEnine stu#ents play basetball only. 0le$en stu#ents play both

    basetball an# $olleyball. How many stu#ents play $olleyball only?

    3)

    2)

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