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8/19/2019 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
8/19/2019 Sectoral Finals - Grade 1 - 2014
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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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