Grade5mtapreviewer 150331215647 Conversion Gate01

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Grade 5

MetrobankMTAP

DepEd

MathChallenge

Courtesy by: Pids Nogales Files



2002 ELIMINATION - Metrobank-MTAP-DepEd Math Challenge Grade 5

Solve each item and write the answer on the blank beore the n!mber" #$se π % &"'()

_________ 1. What is the value of in ! "#$ %1&'

_________ %. Write MD() in *indu-Arabi+.

_________ $. Write three ,illion four hundred fift thousand si/t-five in figures or standard for,.

_________ #. *o0 ,an ti,es greater is the underlined ! in # "!& "!# than the ! that is

not underlined'

_________ ". f +an save &" a ,onth ho0 ,u+h do save in # ears'₱

_________ !. 2ind 3 in the pattern4 % $ " 1% ___ 3.

_________ &. What is the re,ainder 0hen "!# is divided b %$'

_________ . A far,er harvested 156 +avans of pala fro, his field. f ea+h +avan sold for

$"5 ho0 ,u+h did he get'₱

_________ 6. What is the su, of the first " pri,e nu,bers greater than "5'

_________ 15. Three ,ore than ! ti,es a nu,ber is #". What is the nu,ber.

_________ 11. f ,ultipl a nu,ber b and then subtra+t 1" fro, the produ+t the result

is !". 0hat is the nu,ber'

_________ 1%. 2ind the su, of 1 7 % 7 $ 7 # 7 8 7 1 7 16 7 %5.

_________ 1$. Erl is $ ears older than Dhang. Together their ages total %1 ears. *o0 old is Erl'

_________ 1#. What is the 9C2 of "# and 65'

_________ 1". What is the )CM of "# and 65'

_________ 1! What is the s,allest nu,ber that has 1% 1$ and $5 as fa+tors'

_________ 1&.Evaluate4 $ : ; #1

2 / 15

6 <

_________ 1.=edu+e56

84 to lo0est ter,s.

_________ 16.>ean bought "3

5 , of 0hite +loth and $3

4 , of blue +loth. *o0 ,an ,eters of

+loth did she bu'



_________ %1.Divide #2

3 b $1

9 .

_________ %%.Add2

3 to the @uotient of # divided b ".

*'*

_________ %$.Change "7

13 to an i,proper fra+tion.

_________ %#. >o bought # ,angoes for #!. At the sa,e rate ho0 ,u+h 0ould a doen +ost'₱

_________ %". *er+ules had a te,perature of $6.# oC this ,orning and $&. oC this afternoon.

B ho0 ,u+h did the te,perature go do0n'

_________ %!. f #.%! : $ 1.#% 0hat is #%.! : 5.1#%'

_________ %&. Change 1"" to a fra+tion in lo0est ter,s.

_________ %. Change %1

5 to per+ent.

_________ %6. A student got 65 of a test. *e ans0ered $! ite,s +orre+tl. *o0 ,an ite,s

0ere in the test'

_________ $5. ut of 155 students in 9rade " # are bos. What per+ent of the 9rade "

students are girls'

_________ $1. There are #"5 Cub and Bo F+outs in a s+hool. f &5 are Cubs ho0 ,an

are Bo F+outs'

_________ $%. 2ind 3 if 3 4 65 1# 4 $5.

_________ $$. f %55 is divided in the ratio 1 4 % 4 " 0hat is the ,iddle part'

_________ $#. f & ,en +an do a Gob in ! das ho0 ,an ,en +an do the 0ork in $ das'

_________ $". A restaurant +harges $." servi+e ta/. f our order a,ounted to %15."5₱

ho0 ,u+h in all did ou pa'

_________ $!. Tessie uses %.% ,eters of +loth for one unifor,. *o0 ,an unifor,s +an

she ,ake fro, %5 ,eters of +loth'

_________ $&. 2ind the peri,eter of a regular pentagon 0ith sides that are 65 d, long.

_________ $. A +ir+ular ,an-,ade lake has a radius of $5 ,. What is its area'

$6. A re+tangular field is 6" , long and & , 0ide. f ou run around it # ti,es ho0



_________ #$. The base of an isos+eles triangle is %6 +, and the peri,eter is &"+,. *o0

long is a leg'

_________ ##. A +ir+ular pool has a dia,eter of %# ,eters. f ou 0alk around it ho0 ,an

,eters 0ill that be'

_________ #". A base angle of an isos+eles triangle is "%

o

. 2ind the verte/ angle.

*2*

_________ #!. An angle is 15o ,ore than its supple,ent. 2ind the angle.

_________ #&. 3ell ,ade a +ir+le graph to represent her da of %# hours. f she 0orks for

hours ho0 ,an degrees is the se+tor that represents her 0ork'

_________ #. The s+ale of a ,ap is 1 +, to $5 k,. f t0o +ities are #"5 k, apart ho0 far apart

are the on the ,ap'

_________ #6. The parallel sides of a trapeoidal field are # , and !# ,. f the are #" ,

apart 0hat is the area of the field'

_________ "5. *o0 ,u+h soil 0ill be needed to raise a flo0er plot b 1 d, if the plot is !." ,

long and # , 0ide'



*&*

200& ELIMINATION - Metrobank-MTAP-DECF-3C= Math Challenge Grade 5

Solve each ,roblem and write the answer in the blank beore each n!mber"

_________ 1. What is the value of & in #&%$"!'

_________ %. Change 6H1! to !#ths.

_________ $. %$ / $$ / 15% _______ .

_________ #. $!"51 e@uals ___________ 0hen rounded off to the nearest thousand.

_________ ". Whi+h nu,ber has both % and 6 as fa+tors' !%% &%% $5

_________ !. The greatest +o,,on fa+tor -G./ of %# $! and !5 is '

_________ &. The least +o,,on ,ultiple -L.M of %# $! and !5 is '

_________ . &3

8 7 !1

3 __________.

_________ 6. &1

5 / !2

3 __________.

_________ 15. 1% I - "2

5 __________.

_________ 11. When #&! is divided b #6 the re,ainder is _________ .

_________ 1%. )ast ear bought a book for ."5. This ear the pri+e is 15#.%".₱ ₱

*o0 ,u+h is the in+rease in pri+e'

_________ 1$. What are the pri,e nu,bers bet0een &5 and 5'

_________ 1#. f 1 is e/+luded ho0 ,an +o,,on fa+tors do $! and # have'

_________ 1". f one side of a s@uare is in+reased b " +, then the peri,eter is in+reased

b _____ +,.

1! The ratio of the pri+e of a bed to a sala set is $ 4 # f the sala set +osts 15 555₱



_________ 16. A re+tangle has a length of 1" d,. f the area is 1%5 d,% then the 0idth is '

_________ %5. *o0 ,an angles +an ou na,e fro, the figure'

1 E .

O A

'

_________ %1. >o bought % notebooks at 6."5 ea+h and # ballpens at #.&" ea+h. *o0₱ ₱

,u+h +hange did she get fro, a "5-bill'₱

_________ %%. A +ube has an edge of 6 +,. What is the total surfa+e area'

_________ %$. t takes %% ,. to ,ake $ pairs of 0indo0 drapes. *o0 ,an ,eters 0ill it take

to ,ake a doen pairs'

_________ %#. *o0 ,an de+i,al pla+es are there in the produ+t of 1.5"1 / 5.5$11'

_________ %". f $%"# / !$." $.%"# / 3 0hat is 3 '

_________ %!. The produ+t of $% / $1 is +losest to 0hi+h ,ultiple of 15 '

_________ %&. B ho0 ,u+h is $# larger than #$'

_________ %. a, thinking of a nu,ber. T0i+e the nu,ber plus " e@uals %6. What is the nu,ber'

_________ %6. The su, of three nu,bers is 66. The first is 15 greater than the se+ond and

%5 greater than the third. What is the largest of the three nu,bers'

_________ $5. n a spelling test of "5 ite,s )arr got 65 +orre+tl. *o0 ,an ,istakes

did he ,ake'

_________ $1. *o0 ,an nu,bers bet0een $5 and !5 +ontain the digit %'

_________ $%. What digit +an ou pla+e in the blank so that #"!&_ % is divisible b 6'

_________ $$. n !##!"1 ho0 ,an ti,es as great is the underlined ! than the ! that is

not underlined'

_________ $#. Fuppose our step is #." d, long and ou +an ,ake 6% steps in one ,inute.

At that rate about ho0 far in ,eters is our house fro, s+hool if ou take



_________ $&. Divide 1#5 a,ong To, >ake and )arr so that To, gets t0i+e as ,u+h as₱

>ake and >ake gets as ,u+h as )arr. *o0 ,u+h does To, get'

_________ $. What is the s,allest #-digit nu,ber that ou +an ,ake using 5 # " and ! '

_________ $6. A doen doughnuts and a loaf of bread +ost &" half a doen doughnuts and₱

a loaf +ost #. *o0 ,u+h does a loaf of bread +ost'₱

_________ #5. An angle is &o. What is its supple,ent '

2

_________ #1. 3ine sheets of bond paper +ost %."5. *o0 ,u+h 0ill #" sheets +ost '₱

_________ #%. ne base angle of an isos+eles triangle is !%o

. What is the verte/ angle '

_________ #$. The peri,eter of a triangle is &" +,. f t0o sides are %1 +, and %& +, ho0

long is the third side'

_________ ##. A far,er kept tra+k of his +o0s and hens b +ounting the legs and heads.

f he +ounted & legs and $" heads ho0 ,an +o0s did he have '

_________ #". What is the peri,eter of the figure if all angles are right angles'

%5, %5,

$" , $" ,

"" ,

&",

_________ #!. What is the area of the sa,e figure'

_________ #&. A tank +ontains 15" liters of 0ater 0hen &5 full. *o0 ,an liters does it

+ontain 0hen full'

_________ #. paid 1%! for a dress at a 1! dis+ount. What is the ,arked pri+e'₱

_________ #6. n $ ,onths the pri+e of pork in+reased fro, "."5 to 6&."5. What is the₱ ₱



&

200( ELIMINATION - Metrobank-MTAP-DepEd Math Challenge Grade 5

Solve each item on scratch ,a,er and write the answer on the blank" #$se π % &"'()

_________ 1. What is the pla+e value of ! in &#!6"#"&'

_________ %. &$"#5 & / 15" 7 $ / 15# 7 3 7 #5. What is 3'

_________ $. Whi+h nu,ber has % and 6 as fa+tors' !%% &%!% !$5.

_________ #. What is the re,ainder 0hen $#&" is divided b $&'

_________ ". *o0 ,an pri,e nu,bers are there bet0een 5 and 155'

_________ !. =ound #&"1% to the nearest ten thousand.

_________ &. =ound ea+h nu,ber to the nearest thousand and esti,ate the su, of

& "51 7 $6 7 ! "%1 .

_________ . n $#"#! ho0 ,an ti,es as great is the underlined # than the # that is

not underlined'

_________ 6. What is the largest digit that +an be pla+ed in the blank to ,ake #"__&

divisible b !'

_________ 15. T0o nu,bers are %$ / $% / " / 11 and %% / $$ / " / & respe+tivel 0ritten

as produ+ts of their pri,e fa+tors. Write their least +o,,on ,ultiple using e/ponents.

_________ 11. Write the s,allest 6-digit nu,ber 0ith $ different digits repeated onl on+e.

_________ 1%. What is the differen+e bet0een the largest and the s,allest nu,bers that +an

be for,ed using all the digits # " & and 6'

_________ 1$. Write %"%5 as a produ+t of pri,e fa+tors using e/ponents.



_________ 1. What is the least +o,,on ,ultiple of %#5 and %&5'

_________ 16.=edu+e105

147 to lo0est ter,s.

_________ %5. Change 7


_________ %1.Change131

14 to a ,i/ed nu,ber.

_________ %%. >o bought 1 K doen ,angoes for 15". At the sa,e rate ho0 ,u+h 0ill₱

" doen ,angoes +ost'

*'*

_________ %$. A gold +oin 0eighs %5 gra,s. f the +oin +ontains gold +opper and tin in the

ratio #4$41 ho0 ,u+h gold is there in the +oin'

_________ %#. 2ind t0o nu,bers 0hose su, is 1! and the produ+t is #.

_________ %". A book is opened to 0here the su, of the nu,bers of the fa+ing pages is $1$.

What is the bigger of the t0o page nu,bers'

_________ %!. Pat had 1% apples. *e gave ea+h of his friends I of an apple and kept I for

hi,self. *o0 ,an friends 0ere 0ith hi,'

_________ %&. There are !5 9rades #-! students in a s+hool. f $" of the, are in 9rade "

ho0 ,an 9rade " students are there'

_________ %. =ose bought a blouse at a dis+ount of 1 for 1#&.!5. What 0as the ,arked₱

pri+e of the blouse'.

_________ %6. There are %#5 s+outs in a s+hool. f 65 of the, are +ubs 0hat per+ent of the

s+outs in the s+hool are +ubs'

_________ $5. Ann +an ,ake one unifor, 0ith %.# , of +loth. *o0 ,an unifor,s +an she

,ake fro, %5 , of +loth'

_________ $1. Whi+h of the follo0ing nu,bers +an be 0ritten as the su, of t0o pri,es'

a" 25 b" &5 c" 5' d" 53

_________ $%. 2ind 3 if 3 4 # " 4 !. 1!,



_________ $". f ,en +an do a pie+e of 0ork in ! das ho0 ,an ,en +an do it in # das

at the sa,e rate'

_________ $!. A restaurant +harges # servi+e +harge. f our order a,ounted to #"5₱

ho0 ,u+h did ou pa'

_________ $&. A +losed bo/ for a raffle is " d, long $." d, 0ide and & d, high. f it is to

be +o,pletel +overed 0ith +olored paper ho0 ,u+h surfa+e is to be +overed'

*2*

_________ $. An a@uariu, is ! d, long # d, 0ide and # d, high. *o0 ,an liters of 0ater

does it +ontain 0hen it is6

5 full'

_________ $6. A base angle of an isos+eles triangle is "%o. What is the verte/ angle'

_________ #5. *o0 ,an +ubi+ ,eters of soil 0ill be needed to raise a # , long and %." ,

0ide flo0er plot b 1" +,'

_________ #1. f our step is about &5 +, and ou +an ,ake !5 steps a ,inute ho0 far +an

ou 0alk in 15 ,inutes'

_________ #%. A park is " , long and &5 , 0ide. f ou Gog around it ! ti,es ho0 ,an ,eters

0ill that be'

_________ #$. The ratio of t0o nu,bers is $ 4 " and their differen+e is $#. 2ind the bigger nu,ber'

_________ ##.The average of t0o fra+tions is7

8 and one fra+tion is3

2 . What is the other'

_________ #". The s+ale of a ,ap is 1+, 4 1" k,. f t0o to0ns are #." +, apart on a ,ap

ho0 ,an kilo,eters apart are the'

_________ #!. A s+hool basketball tea, 0on I of its ga,es. f it 0on 1# ,ore ga,es than it

lost ho0 ,an ga,es did it pla'

_________ #&. The parallel sides of a trapeoidal field are "% , and ! ,. f the are # ,

apart 0hat is its area'

# A +ertain su, of ,one is suffi+ient to pa the 0ages of 1% ,en for 1" das



_________ "5. A roo, is ".& , 0ide and !.! , long. *o0 ,an $5-+, tiles are needed

to +over it '

*&*

2005 ELIMINATION J Metrobank-MTAP-DepEd Math Challenge Grade 5

Solve each item on scratch ,a,er and write the answer on the blank .

_________ 1. Write Lfour ,illion t0o hundred si/t thousand ninet-five.

_________ %. What is the pla+e value of 6 in $6#"1!%'

_________ $. What is the value of in "%$#"1%$'

_________ #. *o0 ,an ti,es as great is the underlined # in #"!#% than the # that is

not underlined'

_________ ". =ound to the nearest thousand and esti,ate !1%$ 7 &"1% 7 #1%$.

_________ !. =ound $!6"&$#" to the nearest hundred thousand.

_________ &. What is the re,ainder 0hen $"!& is divided b #&'

_________ . Write "/15" 7 &/15# 7 6/15% 7 &/15 7 " as one nu,ber.

_________ 6. Nse e/ponents to 0rite $6!5 as a produ+t of its pri,e fa+tors.

_________ 15. What is the s,allest pri,e nu,ber larger than 155.

_________ 11. *o0 ,an pri,e nu,bers are there bet0een %5 and #5'

_________ 1%. What is the greatest +o,,on fa+tor of &% and 65'

_________ 1$. What is the least +o,,on ,ultiple of &% and 65'

_________ 1#. Change90

78 to lo0est ter,s.



_________ 1!. Change134


_________ 1&. A garden is "3

5 , long and $ I , 0ide. 2ind its peri,eter.

_________ 1. What is the area of the garden in +'3'

_________ 16. 3ita ,ultiplied #.%& / "!.6 0ith a +al+ulator and got %#%6!$ be+ause she forgot

to put the de+i,al points. What is the +orre+t ans0er'

_________ %5. T0o nu,bers are in the ratio $4" and their su, is 11%. 2ind the bigger nu,ber.

_________ %1. Tonton pi+ked %&$ ,angoes and put the, !5 to a basket to sell. *o0 ,an

,angoes 0ere not in a full basket'

_________ %%. 3ita +an ,ake ! glasses of drink fro, a +an of fruit Gui+e. f she has to prepare

for &! people ho0 ,an +ans of Gui+e does she have to bu'

'

_________ %$. The lengths of the sides of a triangle are 1%.$ +, 1". +, and 1!." +,.

2ind its peri,eter.

_________ %#. An apple +osts ."5. *o0 ,an +an ou bu 0ith a 155-bill'₱ ₱

_________ %". A P.E. tea+her has !1 pupils. Fhe told the, to line up in ro0s of 6. *o0 ,an

pupils are in the last in+o,plete ro0'

_________ %!. f &46 #43 0hat is 3' 1", 1",

1% , 1% ,

_________ %&. What is the peri,eter of the figure'

_________ %. What is the area of the figure' %& ,

"5,

_________ %6. What fra+tion of

the figure is shaded'



_________ $1. A +ir+ular lagoon has a radius of 1% ,. *o0 ,u+h shorter 0ill it be to go fro,

A to B through in a boat than to go along the edge as sho0n b the arro0s'

;Nse π $.1#<

A

_________ $%. What is the area of the lagoon in +&''

_________ $$. Bing has a 15-, pie+e of string. *e +ut fro, a $ K , pie+e and another

% 1H& , pie+e. *o0 ,u+h string re,ained'

2

_________ $#. What is the ratio of %" d, to # K ,'

_________ $". During a stor, 1% out of the #5 students in a +lass 0ere absent. What per+ent

of the +lass 0as absent'

_________ $!. A dress ,arked 1" 0as bought at a sale at 1" dis+ount. *o0 ,u+h 0as₱

paid for it'

_________ $&. 1## is $% per+ent of 0hat nu,ber'

_________ $. The su, of three +onse+utive pages of a book is "$#. What is the ,iddle

page'

_________ $6. What is the total surfa+e area of a +losed 0ooden bo/ 1." , long 5.# , 0ideand 5. , high'

_________ #5. A pie+e of +artolina is #% +, b $% +,. *o0 ,an +ir+les of radius " +, +an

be +ut fro, it'

_________ #1. The bases of a trapeoidal field are 1! , and 1#% ,. The distan+e bet0een

the, is 6" ,. *o0 ,an he+tares is the field'

_________ #%. The area of a table +loth is !.$ ,%. f the 0idth is 1. , 0hat is the length'

_________ #$. What is 3 in & 6 1% 1! %1 %& 3.

O



_________ #!. A fa,il has a ,onthl in+o,e of 1%555. n a +ir+le graph representing₱

their budget ho0 ,an degrees 0ill be the se+tor for food if the spend

#%55 a ,onth for food'₱

_________ #&. 2ind t0o nu,bers 0ith a su, of "5 and a differen+e of 1#.

_________ #. The verte/ angle of an isos+eles triangle is "

o

. 2ind ea+h base angle.

_________ #6. n a 155-ite, test =i+k did not ans0er ! @uestions. *is nu,ber of +orre+t

ans0ers is # ,ore than # ti,es his ,istakes. *o0 ,an +orre+t ans0ers did he get'

_________ "5. The base of an isos+eles triangle is # +, ,ore than a leg. f the peri,eter is

" +, find the base.

&

20'5 ELIMINATION 4 F+hool - )evel Math Challenge Grade 5

Solve each item and write the answer on the blank beore the n!mber"

_________1.Write Lfive ,illion thirt-four thousand eight in s,bols.

_________%.What is the s,allest digit that +an be pla+ed in the blank to ,ake $__!$ O $%!%'

_________$.What is the value of & in !& 51 $"5'

_________#.*o0 ,an ti,es 0ill ou ,ultipl 15 b itself to get 1555555'

_________".=ound #"&%&1 to the nearest ten thousand.

_________!.What nu,ber is 1 %&" ,ore than $% !"5'

_________&.What is the s,allest pri,e nu,ber greater than 5'

_________.Whi+h of 1%$ 1%! 1&& %1 !& isHare pri,e'

_________6.Whi+h of % $ # " ! & and isHare not fa+tors of 1%!5'

_________15.Write " / 15" 7 & / 15$ 7 6 / 15% 7 & as one nu,ber.

_________11.What is the 9C2 of &% and 1%5'



_________1!.f ou have P%55 ho0 ,an apples +osting P."5 ea+h +an ou bu'

_________1&.What is 3 in ; 3 < -1$ ; < / 6 ; < 7 & ; < - "5 ; %5 <. .

_________ 1. What is 1# / $5 : 1"'

_________ 16. What is the value of &$ J "$'

_________ %5. n three tests =od got # 6% and ". What 0as his average'

_________ %1.Change129


_________ %%.=edu+e80


_________ %$. )u+ bought a blouse for₱

1$".&". Fhe gave the +ashier t0o₱

155-bills.*o0 ,u+h +hange did she get' _________ %#. =oll +an +over 11.! k,Hh in his bi++le. *o0 far +an he go in %." hours'

_________ %". Phil has a garden 1." , long and 1$.& , 0ide. 2ind the peri,eter of Philsgarden.

_________ %!. What is the area of the garden of Phil'

_________ %&.Miss )il has #% pupils in her Fe0ing Class. Ea+h needs2

3 , of +loth for a

pla+e,at. *o0 ,an ,eters of +loth does Miss )il have to bu for the,'

_________ %. Mr. 9o bought a lot %$ K , long and 12

3 , 0ide. What is the peri,eter of

the lot'

_________ %6. *o0 ,an degrees is the supple,ent of an angle of !o'

_________ $5. )inda started a #"-,inute piano lesson at $4$5 P.M. After her lesson )inda

0alked ho,e for %5 ,inutes. What ti,e did )inda rea+h ho,e' _________ $1. )ester left his offi+e and drove 1" ,inutes to a ,eeting that lasted 1 hour %5 ,inutes. *e drove another %5 ,inutes before arriving ho,e at "455 P.M. What ti,e did heleave his offi+e'

_________ $%. n a fa+tor 0ith $$! e,ploees 11# are ,en. What is the ratio of ,alee,ploees to fe,ale e,ploees'

_________ $$. The ratio of t0o nu,bers is #4&. f their su, is 1$% find the bigger nu,ber.

_________ $#. n a +lass there are %$ girls and 16 bos. f 1# pupils got ,erit +ertifi+ates inthe Math Challenge Eli,inations 0hat fra+tion of the pupils got ,erit +ertifi+ates'

_________ $". A vendor bought 1%" pineapples at ₱1% ea+h and sold the, at ₱1" ea+h.

What 0as his gain per+ent' _________ $!. What is ## of 6"5'

$& A stove ,arked ₱%"5 0as bought at a 1" dis+ount *o0 ,u+h 0as paid for



0eight stret+hed the spring' _________ #1. A pi+ture is $5 +, long and %% +, 0ide. t is pla+ed in a unifor, fra,e that is$ +, 0ide. What is the outside peri,eter of the fra,e'

_________ #%. A ,ilk +an has a radius of ! +, and a height of 1 +,. *o0 ,u+h ,ilk doesit +ontain'Q $se π % &"'(

_________#$.*o0 ,an different re+tangular gardens +an ou ,ake 0hose di,ensions are0hole nu,bers if ou have # , of fen+ing ,aterials and the 0idth is at least # ,' Consider a

! , b 1 , re+tangle the sa,e as an 1 , b ! , re+tangle.

_________##. a, a de+i,al 0ith , last digit in the hundredths. =ounded to the nearesttenth a, !.". =ounded to the nearest 0hole nu,ber a, !. f the su, of , digits is 1!0hat nu,ber a, '

_________#".>i, Ti, and Ri, have !& ,arbles together. Ti, has ! ,ore ,arbles than >i,and Ri, has fe0er ,arbles than >i,. *o0 ,an ,arbles has Ti,'

_________#!.There are bi++les and tri++les parked along a road. There are %6 0heels and11 riders. *o0 ,an bi++les are there'

_________#&.T0in pri,es are pri,e nu,bers that differ b % like $ and ". 2ind t0in pri,es

bet0een !" and 5. _________#.3i+k used stra0s popsi+le sti+ks and barbe+ue sti+ks to build a ,odel house.*e used t0i+e as ,an barbe+ue sti+ks as stra0s and " ,ore popsi+le sti+ks as barbe+uesti+ks. *e used $" popsi+le sti+ks. *o0 ,an stra0s and barbe+ue sti+ks did he use'

_________#6.The +anteen sold $%& bo0ls of noodles and served 1" bo0ls of pan+it ,orethan noodles. *o0 ,an bo0ls of food 0ere served in all'

_________"5.The s+ale of a s+hool building is % +, to $ ,. f a librar is 1 , b 1$." , 0hatis its area on the blueprint'

2

2005 Sectoral Finals Metroban!M"#P!Dep$d Mat%C%allenge

Grade 5

#& '5!second (uestions ) 2 points eac%

__________1.2750 is equal to how many perent!

__________". #hat is the sum o$ all e%en numbers between 11 and 1&!

__________'. (.)* is equal to how many thousandths!

__________(. The produt o$ ' numbers is 1)+. ,$ two o$ the numbers are(

and )- what is the third!

,$ ( t )/ h h ill d t!



__________. ,$ ( bangus weigh 1 kilo- how many kilos would 11"bangus weigh!

__________+. #hih has a greater area- a retangular garden that is (2m by'2 m or a square garden that is '/ m on a side!

__________&. ,$ ' out o$ + people in a barangay are 3obless- how manyout o$people are 3obless!

__________12. 4ob leaned 5 o$ a yard6 4ess leaned1

3 o$ the

remaining part.#hat $ration o$ the yard remained unleaned!

__________11. 7i%e all the e8at di%isors o$ "( e8luding 1.

B. 30-second questions – 3 points eac% *+se π , -&'. /%ennecessary

__________1. Eah month- Mr. 9o sa%es P&"/ whih is /* o$ his monthly inome. #hat is monthly inome!

__________". #hat perent o$ "(2 is "/* o$ 1&"!

__________'. #hat is the greatest ommon $ator o$ ("2 and /++!

__________(. #hat is the area o$ a irular plot o$ radius ) m!

__________/.#hat is the perimeter o$ an equilateral deagon o$ side 1"5

6 m!

7i%e the answer with the $ration part in lowest terms.

__________). An + m by / m piture is enlarged so that the longerside beomes ") m. #hat does the shorter side beome!

'

C& '!1inute (uestions ) 5 points eac%

__________1. The length o$ a retangle is twie its width. ,$ theperimeter is



__________'. #hat is the nearest number to "'-/22 that is di%isible by('/without a remainder!

__________(. ?od had twie as many stamps as @ik. A$ter gi%ing @ik) stamps he still then had + more stamps than @ik. ow many stampshad he at :rst!

__________/. A bo8 is "( m long- 1+ m wide and 1" m high. #hat isthetotal sur$ae area!

__________). A pair o$ shoes marked 1/2 was bought $or 1-/2/.#hat wasthe perent o$ disount!

Clinc%er (uestions

__________1. ow many ommon multiples o$ " and are therebetween12 and )2!

__________". A toy marked (/+ was sold at a disount o$ 1/*. owmuhpaid $or it!

_________'. ow many multiples o$ are there between 122 and "/2!

Do!r!Die (uestions

__________1. Bour numbers are in the ratio " = ' = ( = /. ,$ their sum is1)+- what are the $our numbers!

2




__________ 1. #hat is 1+2* o$ /22!

__________ ". #hat digit will you put in the blank in +/__ to make itdi%isible (!

__________ '. #hat is the sum o$ the prime numbers between "2 and'2!

__________ (.4ohn :nished painting a2

7 o$ a wall in 1 hour. ow long

will ittake him to paint the whole wall!

__________ /. (2* o$ (/ is what perent o$ 1+2!

__________ ). #hat is /"/" di%ided by ")!

__________ . ow many times as great is "(2-222 than 12'!

__________ +. The area o$ a retangle is '+2 m" and its width is 1" m.#hat is

its length!

__________ &. #hat is the reiproal o$ 3

8 !

__________ 12. #hat digit an be used to replae ' in &' to make itdi%isible

by 11!

__________ 11. #hat is the least ommon multiple o$ '- +- and 12!

B& -0-second (uestions ) - points eac%

__%___

__________1.What is the value of # 71

5 '

__________ ". ina pays P) $or a one;way $are to shool. Bor how many";way

$ ill P122 b h!



__________ (. A transistor radio was sold $or P&22 at a pro:t o$ "2*.ow muh

was the pro:t!

'

__________ /. ,$ eah side o$ a square is inreased by "2*- by howmany perent is the area inreased!

_________ ).Three;eights o$ the (+2 pupils in a shool are boys and2

3

o$ them are in the primary. ow many boys are in the intermediate

grades!


__________ 1. ,magine a ube. ,$ the sum o$ the edges is 12+ m- whatis the

total sur$ae area!

__________ ". A swimming pool an be :lled in 1" hours by ) equalpumps

working together. ow many o$ the same pumps are neededto :ll it in + hours!

__________ '.Pete- 7eorge and ?oy together ha%e P1/2. P( more than1

3 o$

the money is Petes. $ the remaining money- 7eorge has P+more than ?oy. ow muh o$ the money belongs to ?oy!

__________ (. Bi%e small squares are put together to $orm a ross likethe red

ross without o%erlap. ,$ the side o$ eah square is + m-what is the perimeter o$ the ross!

__________ /. A piture '" m by "( m is $ramed on a piee o$ oloredardboard ') m by "+ m. #hat area o$ the ardboard is seen!

__________ ). A ar tra%eled $or ' hours at /+ kmFhr and $or " hours at/1 kmFhr.

#hat is its a%erage speed to the nearest whole kilometer!



__________ 1. ,nstead o$ di%iding by /- uy multiplied by / and got "/.#hat is

the orret answer!

__________ ". ow many ";diugit numbers are di%isible by !

__________ '. The rooms in a hotel are numbered $rom "21 to )21. owmany

odd numbered rooms are there!

Do!r!Die (uestions

__________ 1. There are 1/ more duks than pigs in a $arm. ,$ there are12" legs- how many duks are there!

2

200. Division rals Metroban!M"#P!NC4 Mat%

C%allenge Grade 5

#&'5!second (uestions ) 2 points eac%

__________1. ?ound eah $ator to the nearest 122 and estimate the

produt o$

+'2 8 )+.

__________". ow many ommon multiples o$ ' and / are there

between 12 and 122!

__________ '. #hat is the remainder when '22 is di%ided by 1(!

__________ (. Change

5

13 to an improper $ration.

__________/. Change ".'/ to a mi8ed number with the $ration in lowest

terms.

__________). A retangle is "+ m long and 1) m wide. #hat is its

perimeter!

__________. #hat is (2* o$ )2!

__________+. 4ose is / years older than Paul. The sum o$ their ages is (1

years



__________11. ?edue54

72 to lowest terms.

B&-0!second (uestions ) - points eac%

__________1. ow many dm piees o$ ribbon an be ut $rom a spool

o$ ribbon

/2 meters long!

__________". A kilo o$ grapes osts 1"/. ow muh will , pay $or "./

kilos!

__________'. A pair o$ shoes marked '/2 was sold $or "+. #hat was

the

perent disount!

__________(. A meter stik was ut into two piees at the (/ m mark.

#hat is the

ratio o$ the shorter piee to the longer piee!

__________/. The area o$ a triangle is "&( m2. ,$ the base is "+ m-

what is the altitude!

__________). Carlo has ') ballpens. @ine o$ them are blue and the rest

are blak.

perent o$ the ballpens are blak!

'

C&'!1inute (uestions ) 5 points eac%

__________1. A bathroom is ". m long and 1.+ m wide. ow many

square tiles eah

/ m on a side are needed to o%er its Goor!

__________". A ar uses + liters o$ gasoline $or a distane o$ &2 km.

ow many liters will be needed $or a round trip to a town 1'/ km.

away!

__________'. @ine small squares are put together to $orm a bigger

square. ,$ the perimeter o$ the big square is )2 m- what is the area o$eah small square!



__________/. #hat is the largest number less than -1&/ that is di%isible

by '"!

__________ ). / times a number is 1'/. #hat is 1& less than times the

number!

Clinc%er (uestions

__________1. ,$ './ 8 ).+ > "'.+- what is '/ 8 )+2 !

__________". ow many ballpens eah osting /.)2 an , buy i$ , ha%e

/2!

__________'. All pries inreased by 1/*. #hat is the present prie o$an item used to

ost /!

Do!r!Die (uestions

__________ 1. A lass o$ '& students standing in a irle ounted 1- "- '-

H until '&. Then- those who ounted an odd number sat down. Thosestanding ounted 1- "- H one more. Those who ounted odd numbers

sat down- too. ow many students remained standing!

__________ ". A ontrator :nished ". km o$ road in 1" days. n the

a%erage- how many meters o$ road was :nished in one day!

2

2005 Division rals Metroban!M"#P!Dep$dMat% C%allenge Grade 5


1 #hat is I o$ P12!



__________(. #rite 2.+/ as a $ration in lowest terms.

__________/. #rite 12/ J 12' as one number.

__________).#hih $ration is greater-5

16 or4

15

__________. A retangle is 1+ m long and 1( m wide. #hat is itsperimeter!

__________+.ow muh more is / 5 than ( 1F'

__________&. ne number is twie another and their sum is &2. #hat isthe bigger number!

__________12. #hat is the greatest ommon $ator o$ '" and (+!

__________11. #hat is '22* o$ )22!

B& -0!second (uestions ) - points eac%

__________1. The 0oo has / deer $or e%ery monkeys. ow many deerare therei$ there are "1 monkeys in the 0oo!

__________". #hat is the irum$erene o$ a irle i$ its radius is (" m!K+se , 2267L

__________'. ne side o$ a square is 1" m. ow muh bigger is thearea o$ a square whose side is / m longer!

__________ (. ,$ ( papayas ost 112- how many papayas an you buywith "/!

__________/. A ake is (/ m by '2 m. ,$ ' equal slies are ut $romone end o$the ake- the remaining part is a square. ow wide is eah slie!

__________). Mike got +2* on a (/ item Math test. ow many items didhe miss!


__________1. ,$ the produt o$ " numbers is "(

2

3 and one number is /1



__________". Tom got +/*- +2*- )*- +(*- and &2* on :%e Mathtests. #hat must heget on the ne8t test to ha%e an a%erage o$ +/*! ess by

__________'. A '22 pair o$ pants was inreased by "/*. During a salelater- the newprie was redued by "/*. #as the sale prie more or less than '22and by how muh!

__________(. Mark bought twie as many notebooks as Dennis. ,$ thetwo paid '/ in all- how muh did Mark pay!

__________/. A plate 3ust :ts into a square bo8. ,$ the irum$erene o$the plate is+./ m- what is the inside perimeter o$ the bo8!

__________). "2* o$ &'.' is what perent o$ /- to the nearest wholeperent!

Clinc%er (uestions

__________1.#hat is5

8 5

16

__________". A laundry woman harges 1/2 $or ( hours o$ work. At the

same rate- how muh will she harge $or ) hours o$ work!

__________'. <lana had &"/ in the bank. n Monday- she withdrew'/2.n Thursday- she deposited twie what she withdrew on Monday. owmuh money had she then in the bank!

Do!r!Die (uestion

__________1. The three angles o$ a triangle are onseuti%e multiples o$/. #hat is the measure o$ the largest angle!



2

Grade 5200 1ivision Orals Metrobank*MTA6*N.7 Math .hallen8e

A" '5*second 9!estions 4 2 ,oints each

__________1. 9ive the greatest +o,,on fa+tor of #" &" 1%5 '

__________%. Write " as a fra+tion in lo0est ter,s.

__________$. What fra+tion is ,id0a bet0een1

5 and1

3 '

__________#. What is the re+ipro+al of %.&"'

__________". 9ive the pri,e fa+toriation of 6.

__________!. What is the s,allest 0hole nu,ber that rounds to "555

to the nearest thousand'

__________&. n a +lass of #5 %" are on the honor roll. What per+ent

is this'

__________. The su, of % nu,bers is #%. f one nu,ber is ,ore

than the other give the t0o nu,bers.

__________6. f 1$ is subtra+ted fro, $ ti,es a nu,ber the result is!. What is the nu,ber'

__________15. What is the @uotient of15

6 divided b S'

__________11. The peri,eter of a s@uare is 16.%. *o0 long is one

side'



__________%. >o+e ,issed & 0ords on a spelling test. f she got

&% ho0 ,an 0ords 0ere in the test'

__________$. n ABC if angle A #5o and angle B !"o 0hat is

angle C'

'

__________#. The +ir+u,feren+e of a +ir+le is %!.# +,. 2ind the

dia,eter. Nse π 22

7 '

__________". n a gro+er store apples +ost 1" ea+h. A vendor sells₱

the sa,e kind at 1! a doen. *o0 ,u+h do save if bu % doens₱

fro, the vendor'

__________!. f %%" 9rade " pupils ## are under 11 ears old as

of De+e,ber $1. *o0 ,an pupils are under 11 ears old'

." '*min!te 9!estions 4 5 ,oints each

__________1. The length of a re+tangle is " +, ,ore than the 0idth.

The peri,eter is &5 +,. 2ind the length and 0idth of the re+tangle.

__________%. A fra+tion redu+es to3

5 . ts deno,inator is !5 ,ore

than the nu,erator. What is the fra+tion'

__________$. *o0 ,u+h ,one is deposited at $." si,ple interest if

the interest in one ear is %#"5'₱

__________#. 3i+k used 0ire to ,ake the fra,e of a +ube 0ith a

volu,e of 1%" d,$. What is the total length of the edges of the fra,e'

__________". The total +ost of $ T-shirts at 15" ea+h and ! si,ilar₱

blouses is 11"". What is the +ost of a doen of the blouses'₱

__________!. The s+ale of a ,ap is 1 +, 4 "5 k,. *o0 far apart are

t0o +ities that are $.% +, apart on the ,ap'

.lincher 9!estions



__________$. %5 of 1%5 is 0hat per+ent of 6!'

1o*Or*1ie 9!estions

__________1. The three angles of a triangle are +onse+utive ,ultiples

of ".2ind the three angles.

2

Grade 52003 1ivision Team .om,etition Metrobank*MTA6*1e,Ed

Math .hallen8e

A" '5*second 9!estions 4 2 ,oints each

__________1. What is the s,allest nu,ber that is divisible b 6 %# and $!'

__________%.B ho0 ,u+h is %5 greater than 4

7 '

__________$. Write the produ+t of #"5 / #555 in s+ientifi+ notation.

__________#. What is the differen+e bet0een # , and 1"" +,' Qanswer in meters

__________". f 1% is subtra+ted fro, " ti,es a +ertain nu,ber the result is .What is the nu,ber'

__________!. What nu,ber is 15 ,ore than Q1."% '

__________&.T0o nu,bers are in the ratio 41". f the s,aller nu,ber is 6!0hat is the larger nu,ber'

__________. f " out of 6 people in the auditoriu, are oung adults ho0 ,anout of 51 people are oung adults'

__________ 6. E/press the fra+tion9

50 as a per+ent.

__________15. A basketball tea, lost %5 of the #5 ga,es that the plaed.*o0 ,an ga,es did the 0in'

__________ 11. What do ou +all a polgon having 6 sides'



__________1. >i, ate K of a ,elon >o ate1

6 of the re,aining part. What

fra+tion of the ,elon 0as left'

__________ %. *o0 ,an pie+es 5. , long +an be +ut fro, a board #. ,long'

__________$. At a re++ling station about $ of the bottles returned are broken. f 1%55 bottles are returned ho0 ,an bottles are probabl broken'

'

__________#. A +ir+ular plot has a radius of ,. 2ind the area of the plot.

__________". f $5 pupils in a +lass 1 took up se0ing 1" took up +ookingand ! took up both se0ing and +ooking. *o0 ,an did not attend either subGe+t'

__________!. f $ is added to a nu,ber and the su, is ,ultiplied b 6 theresult is 15. 2ind the nu,ber.

." '*min!te 9!estions 4 5 ,oints each

__________1. What is the regular pri+e of a to robot 0hi+h is sold at 1&" at₱

a dis+ount of $5' __________%. 2or 0orking for %5 ,inutes a +arpenter 0as paid 1%". At this₱

rate ho0 ,u+h 0ill he be paid if he 0orks for %1

2 hours'

__________$. Dan re+eives a +o,,ission of for ever ne0spaper he sells. *o0 ,u+h does he earn for selling "! ne0spapers at 1" ea+h'₱

__________#. A re+tangular lot is 1"" , long and has a peri,eter of "55 ,. What is the 0idth'

__________". Ann had P"55. Fhe bought $ T-shirts of the sa,e pri+e and had₱

6."5 left. *o0 ,u+h did ea+h T-shirt +ost'₱

__________!. A far,er harvested $ K doen pie+es of vegetables. f1

3 are

eggplants and the rest are +arrots ho0 ,an +arrots did he harvest'

.lincher 9!estions



__________$. There are %! ro0s of $! seats in a theater. n a perfor,an+e 65 of the seats 0ere filled. *o0 ,an sa0 the perfor,an+e'

1o*Or*1ie 9!estions

__________1. A far,er has +hi+kens and pigs in his far,. f he +ounted $!heads and 15% feet ho0 ,an +hi+kens are there'

2

2006 Division Team Finals Metrobank-MTAP-NCR Math Challenge Grade

A! "-se#ond $%estions & 2 'oints ea#h(Ans)ers in *ra#tions m%st be in lo)est terms!+

__________1.Express68

13 as a mixed number.

__________2. What number is 18 more than 152?

__________3. What is the quotient of 0.085 divided by 1?

__________!. "o# many 25$ pie%es are equa& to 3?₱

__________5. '#o numbers are in the ratio (12. )f the sma&&ernumber is 105* #hat is the bi++er number?

__________,. 'he area of a square is ,25 %m2

. What is its perimeter? __________. ,5 %m &ess than 3 m is equa& to ho# many meters? __________8. What is the +reatest %ommon fa%tor of !5* 5 and 120?

__________-.What is5

6 of the sum of 31

3 and 52

3 ?

__________10. 1, is #hat per%ent of !0?3



__________2. yn bou+ht a %amera for ,-5.50 and 2 ro&&s of fi&m at₱

105 a ro&&. "o# mu%h %han+e did she +et from a 1000/₱ ₱

bi&&? __________3. "o# many hours are there in 250 minutes and

120 se%onds?

__________!.ina bou+ht 13

4 m of b&ue %&oth. 23

5 m of red %&oth

and

51

2 m of #hite %&oth. "o# many meters of %&oth in a&& did

she buy?

__________5. ae drove 252 m in !2

3 hours. What #as his

avera+e speed the ourney? __________,. When - times 4i%ys a+e is de%reased by 15* the resu&t

is 8! years. "o# o&d is 4i%y?

"C! "-min%te $%estions & 'oints ea#h

__________1. 6ante +ot 2 out of 81 questions in the first part of atest and 3, out of !2 in the se%ond part. )n #hi%h part did he +et ahi+her per%enta+e of %orre%t ans#ers?

__________2. 7 set of , boos %ost -2. in+&e boos of the set₱

bou+ht separate&y %ost 180.50. "o# mu%h &ess is the %ost per %opy if ₱

you buy the #ho&e set?

__________3.Express 93 x 10,: ; 9- x 10!: ; 9, x 102: ; 92 x1

10 2 :

in standard form?

__________!.4oe& #on 280*000 in a &ottery. "e +ave < of the₱

money to his brother #ho in turn +ave3

8 of #hat he re%eived to his

#ife. "o# mu%h did the #ife re%eive?

__________5. 7 baery uses 5 %ups of f&our for every 2 &oaves ofbread. "o# mu%h f&our is needed for , do=en &oaves of bread?

__________,. What is the sum of the prime numbers bet#een !0 and



__________2.>rs. 7ndaya had 2 do=en app&es. he used5

6 of a

do=en to mae fruit sa&ad and2

3 of a do=en to mae app&e tart. What

fra%tion of a do=en of the app&es remained? __________3. 'hree different trian+&es are p&a%ed side by side as

sho#n. What is the sum of the an+&es of the po&y+on formed?

Do-.r-Die $%estions

__________1. 7 %ube of ! in%h is made up of individua& 1 in%h %ubes."o#many of the individua& %ubes are fa%e to fa%e #ith exa%t&y fourother 1 in%h %ubes?

2

2005 4egional Finals Metroban!M"#P!Dep$d Mat%C%allenge

Grade 5


__________1. #hat is " more than 1'/ di%ided by &!

__________". #hat number between )2 and 122 is di%isible by ( and &!

__________'. #hat is '/ N ")!

__________(. #hat is 1/* o$ )/2!

__________/. #rite7435

10000 as a deimal.

) ,$ a 12+ m string is di%ided into ' parts in the ratio " = ' =



__________+. ,$ it takes '/ m o$ material to make " pairs o$ drapes- howmany

meters will be needed $or / pairs o$ drapes!

__________&. #hat is the greatest ommon $ator o$ /- &2 and 12/!

__________12. ow many ;dm piees o$ ribbon an be ut $rom a spoolo$ ribbon /2 meters long!

__________11. Three numbers are in the ratio ' = / = . ,$ their sum is1'/-

#hat is the biggest number!


__________1. ,$ the a%erage thikness o$ books in a './ m long shel$ $ullo$ books is ' = " m- about how many books are on the shel$!

__________ ". A team won 1+ out o$ "( games it played. At the samerate- how

many games will it be e8peted to win in playing /" games!

__________'. A pair o$ shoes marked )/2 was bought $or /(). #hat#as perent disount!

'

__________(. A<C is isoseles with base <C. ,$ <C > '/ m and A< is

mlonger than <C- what is the perimeter o$ A<C!

__________/. Miss 7aria has (/ students. ,$ eah student needs "1

3

m o$ loth $or a lass pro3et- how many meters o$ loth has she to

buy!

__________). ,$ /' 8 "+ > 1/(-11&- what is /-'2 8 "+-222 !



length $rom one point to another point o$ the pond throughthe enter

o$ the pond! +se ,20

7

__________". Twenty /;oins are to be di%ided into ( piles so that thereis a

diOerent number o$ oins in eah pile- e.g. the oins an beput into ( piles o$ 1- "- '- 1( oins. #hat is the smallestpossible number o$ oins that an be plaed in the largestpile!

__________'. #hat is the ones digit o$ "&/!

__________(. A Gower plot is ./ m by /.) m. ow many ubi meters o$ soil will

be needed to raise the soil by 1+ m! __________/. ,$ "' > 1/- '( > "+- /( > ')- what is +/!

__________). A ar uses 1" liters o$ gasoline $or a distane o$ &2 km.how many liters will be needed $or a round trip to a town 1'/km away!

Clinc%er (uestions

__________1. Two omplementary angles are in the ratio = +. Bind the

bigger angle.

__________". The sum o$ ' onseuti%e numbers is "'. Bind the 'numbers.

__________'. , used Q o$ my money on Monday65

7 o$ what remained

on Tuesdayand then- , had e8atly P)2 le$t. ow muh had , at :rst!

Do!r!Die (uestions

__________1. A grass lawn is &" m by )+ m. At eah o$ the ( orners-there is a

Gower plot that is 1+ m by 1" m. #hat is the area o$ thegrass!

2




__________1. /* o$ the 1+2 7rade / pupils in a shool are at least 115 years

old. ow many o$ them are less than 11 5 years old! __________". ow many 12;thousandths are equal to (/;hundredths!

__________'. ,$ / is added to the numerator and denominator o$7

9 -

gi%e in lowest terms the $ration that results.

__________(. A retangular garden is &./ m long and + m wide. #hat isits area!

__________/. The gasoline tank o$ a ar is

5

8 $ull. ,t took "( liters to :ll

it. #hat is the apaity o$ the tank when $ull!

__________). #hat digit an be plaed in the blank o$ +/'__ to $orm anumber di%isible by )!

__________ . ,$ "2).&/ ')./ > /.) to the nearest hundredth- what is"2).&/ 2.')/!

__________+. #hat is the greatest whole number less than 1222 thatrounds down to the hundred below it!

__________&. A 1" m by & m room has an + m by ) m arpet in themiddle. #hat area o$ the room is not o%ered!

__________12. ,$ 11 J 1" J H J "2 > 1//- what is '1 J '" J '' J H J(2!

__________11. #hat number is 1 more than 1"+ di%ided by +!


__________1.The sum o$ two numbers is +/2

3 . ,$ one number is '&

6

7 - what is

the other number! __________". Bor e%ery 1/ sampaguita garlands ?osa makes. i0a an

make 1+. ,$ one day i0a made 1") garlands- how many did ?osamake!



'

__________/. The sale o$ a map is 1 m to '2 km. ow $ar apart- to thenearest

m- on the map are two towns (2 km apart! __________). #rite +.)"/ as an improper $ration in lowest terms.


__________1. n a square piee o$ artolina o$ side 1) m- a irle o$radius + m is drawn and then ut oO. #hat is the area o$ the square-to the nearest sq. m. that remains a$ter utting oO the irle!

__________". A ardboard bo8 is )/ m long- (2 m wide and '2 mhigh in

internal measurement. ,t is paked with soap + m long- /m wide and ( m thik. ow many piees o$ soap an the

bo8 ontain!

__________'. 4ohn made a ubial lantern. The total length o$ the edgesis

" m. #hat is the total sur$ae area that 4ohn has to o%er! __________(. #hat is the ones digit o$ '/' !

__________/.

__________).

Clinc%er (uestions

1.".'.



2

2007 4egional Finals Metroban!M"#P!Dep$d Mat%C%allenge

Grade 5


__________1. ,$ '.2/ 8 ).& > "'(./(/- what is '2./ 8 .)&!

__________". #hat digitRsS plaed in the blank in '/"+__ will make itdi%isible

by )!

__________'. #hat is the sum o$ the largest prime number less than 122

and the smallest prime number greater than 122!

__________(. ,$2

3 o$ the area o$ a retangle is +( m"- what is the

whole area!

__________/. ,$ 4ohn began doing his homework at )="/ and spent +/minutes

doing it- what time did he :nish!

__________). Bor e%ery & garlands that 4ane an make- Ann an make +.,$ Ann made /) one a$ternoon- how many garlands did thetwo make!

__________. A 1) m by 1" m piture was enlarged so that itsdimensions inreased by "/*. #hat are the dimensions o$the enlarged piture!

__________+. 7i%e the smallest and the largest numbers that round to"/2 to

the nearest ten.

__________&. Carla bought green mangoes at P"2 a do0en and soldthem at '$or P+ ,$ she sold "2 do0ens how muh did she gain!



__________1. Bi%e onseuti%e odd numbers ha%e a sum o$ "1/. #hat isthe

largest number!

__________". A piee o$ plasti sheet is ' m by " m. ow many );dm by/;dm

piees an be ut $rom it!

__________'. #hat is the smallest number by whih you an multiply"/"2 to

make it a per$et square!

__________(. #hat digit an be plaed in /"-1(__ to make it di%isible by!

__________/. Bind the produt o$ the biggest prime number less than (2and

the smallest prime number greater than (2.

__________). #hat is the sum o$ 1' and the quotient o$ /(2 di%ided by1"!

'

C& '!1inute (uestions ) 5 points eac% +se , -&'.

__________1. A distane o$ )/ km is represented on a map by + m. Tothe

nearest tenth o$ a m- how long is a line representing &/km!

__________". A train tra%els )2 km in3

4 hour. ,$ it maintains the same

a%erage

speed- how $ar will it tra%el in " 5 hours! __________'. 9i8teen small squares are put together to $orm a biggersquare.

,$ the perimeter o$ the big square is 1&" m- what is the areao$ eah small square!

__________(. A grass lawn is +/ m by )2 m. At eah end- there is airular

Gower plot o$ radius & m. #hat is the area o%ered by grassto the

nearest square meter! __________/. #hat is the smallest number that lea%es a remainder o$ /when



Clinc%er (uestions

__________1. #hat is the largest ';digit number di%isible by both " and'!

__________". Eah base angle o$ an isoseles triangle is &o more thanthe

%erte8 angle. Bind eah base angle.

__________'. A piee o$ rope / m;long is ut into three piees in theratio

(=/=). ow long is the longest piee!

Do!r!Die (uestions

__________1. A lass o$ "/ stood in a irle. They ounted oO 1-"-'-1-"-'-H Eah student that ounted ' sat down. A$ter the third round o$ounting- how many students remained standing!

22005 4egional 8ndividual Finals Metroban!M"#P!Dep$d Mat%C%allenge

Grade 5

Solve eac% proble1 on scratc% and /rite t%e ans/er on t%eblan be9ore t%e nu1ber& 2 points eac%;

__________ 1. Thrie what number is the same as the sum o$ (/) and)"(!



D C __________ /. There are + eletri posts. The :rst is in town A and thelast is

in town <. ,$ the posts are /2 m apart- :nd the distanebetween the towns.

__________ ). 4ak :nished painting2

7 o$ a wall in 1 hour "( minutes.

owlong will he take to :nish the whole wall!

__________ .Three;eighths o$ the (+2 pupils in a shool are boys and2

3 o$ them

are in the primary. ow many boys are in the intermediategrades!

__________ +. uy wants to o%er ompletely a lottery bo8 ) dm by './dm by

." dm. ow muh sur$ae has she to o%er! __________ &. ina pays P/./2 $or a one;way ride to shool. Bor how

manytwo;way $ares will her P122 be enough!

__________ 12.The gasoline tank o$ a truk is5

8 $ull. ,t needed /1 liters

to :ll it. #hat is its apaity when $ull!

__________ 11. A pair o$ shoes was sold $or P(./2 with a gain o$ 1/*.#hat

was the ost prie o$ the shoes!

__________ 1". A piture '" m by "( m is $ramed on a piee o$ oloredardboard ') m by "+ m. #hat area o$ the ardboard an

be seen!

__________ 1'. ow many bags o$ ement will you buy to pa%e a path'" m long and 1.+ m wide i$ a bag o$ ement an o%er 1"m" o$ thepath!

__________ 1(. Bor e%ery 1/ sampaguita garlands that u0 an make-

i0a anmake 1+ garlands. ow many garlands did u0 make when i0a made1") garlands!



8n Parts 88 and 888 < solve eac% proble1 on scratc% paper and/rite a neat and co1plete solution on t%e space provided&S%o/ details o9 t%e solution as partial credit /ill be given&

Part 88& Solve eac% proble1& - points eac%;

1. ?ounded to tenths- , am /.(. ?ounded to ones- , am /. #rite )numbers that , anbe.

". There are 1/ more duks than pigs in a $arm. ,$ there are 12" legs-how manypigs are there!

'. The lengths o$ the sides o$ a triangle are onseuti%e odd numbers.Bind thelengths o$ the sides i$ the perimeter is m less than ( times theshortest side.

(. 4ohn made a ubial lantern. The total length o$ its edges is ') dm.#hat is thetotal sur$ae area that he has to o%er!

/. A ube o$ side / dm is made up o$ indi%idual 1;dm ubes gluedtogether. owmany o$ the 1;dm ubes are $ae to $ae with e8atly $our other ubes!

Part 888& Solve eac% proble1& 5 points eac%;

1. ?osa has P+/26 4ane has P""/ less than twie as muh as ?osa whileily hasP)/ more than twie ?osas money. ow muh money do the threegirls ha%e!

" 4ohn agreed to work a$ter shool $or + weeks $or a :8ed weekly rate



'. et T be the set o$ all di%isors o$ 1"2. V- the set o$ all multiples o$ 'and 9- theset o$ all whole numbers less than 2. Bind all numbers @ so that @ is ineah o$ the three gi%en sets.


Grade 5

8& =rite t%e ans/er on t%e blan be9ore t%e nu1ber& 2 points eac%;"i1e:>0 1inutes

__________ 1. E8press '&)2 as a produt o$ prime $ators usinge8ponents.

__________ ". A typist types / words in " minutes. At this rate- howlong

would it take to type a term paper o$ 11"/ words i$ a /minute allowane is gi%en $or hange o$ paper!

__________ '. #hat is the greatest ommon $ator o$ 1/( and 1&+!

__________ (. #hat is the least ommon multiple o$ 1/( and 1&+!

__________ /. An angle is 1"o more than its omplement. Bind the angle.

__________ ). A ar tra%eled at /2 kmFhr $or ( hours and at )2 kmFhr $or'./

hours. #hat is the a%erage speed to the nearest km! __________ . ow many strips o$ olored paper 1./ m wide an be ut$rom a

piee ""./ m wide! __________ +. Two numbers are in the ratio '=/. ,$ their diOerene is "+-what is

the bigger number! __________ &. A tower ast a shadow o$ 1/ m when a pole ) m high asta

shadow o$ "./ m. ow high is the tower! __________ 12. The a%erage o$ 1' numbers is /. Two o$ the numbers-namely

+ and 12" are remo%ed. #hat is the a%erage o$ theremaining

numbers!



ommission o$ )* o$ all sales abo%e P"2-222. ow muhdid he get in a month when his sales amounted to P1&-/22!

__________ 1'. A re$rigerator marked P&-/2 was bought $or P+-/+2.#hat was

the rate o$ disount! __________ 1(. The edge o$ one ube is double that o$ another. owmany times as great is the %olume o$ the bigger ube than the smallerube!

__________ 1/. Bind the %alue o$= "2 " J '2 ' N (2 ( J /2 /.

88& Solve eac% proble1 on scratc% paper and /rite a neat andco1plete solution in t%e space belo/ and at t%e bac& ?abelyour solutions& - points eac%;

1. ,$ ( " W " > 1"- / ' W ( > '"- and ' / W ' > "(- what is ) W

(!

". The sale o$ a house plan is " m to ' m.a. #hat are the dimensions o$ a room that is & m by ) m in theplan!b. ,$ a room is atually ./ m by ) m- what are its dimensions in

the plan!

'

'. A ourtyard is '' m by " m. ow many squares / dm on a side anbe drawn on it i$ none o$ the squares o%erlap!

(. A shool arpenter made (/ stools- some '; legged- others- (;legged. ,$ he used 1/" legs- how many o$ eah kind did he make!

/. ?on is thinking o$ a ';digit number less than /22. ,$ he e8hanges

the ones and hundreds digits- the new number is '&) more. ,$ hee8hanges the ones and tens- the new number is 1+ more. Bind asmany numbers as you an o$ whih ?on is thinking



888& Solve eac% proble1 on scratc% paper and /rite a neat andco1plete solution on t%e space belo/& ?abel your solutions& 5points eac%;

1. Xsing 1- "- '- and - how many ";digit numbers an be $ormeda. i$ no digit is repeated!b. i$ any digit may be repeated!. whih numbers $ormed in RbS are e%en!d. how many o$ the numbers $ormed in RbS are odd!

". #hat is the sum o$ 1 J ' J / J J H J (&/ J (& J (&&!

'. The (;digit number A / / < is di%isible by 1+. #hat an A J < be!#hatnumbers an A / / < be! 7i%e all possible pairs o$ A and < that will

makeA / / < di%isible by 1+.

2


Grade 5

Solve eac% ite1 and /rite t%e ans/er on t%e blan be9ore t%enu1ber&

2 points eac%; +se , -&'. or22

7 "i1e: >0 1inutes

__________ 1. #rite si8 billion- $our hundred thirty;si8 million- onehundred

:$ty;two thousand- si8ty;:%e in indu;Arabi. __________ ". ,$ + boys eat 1" kilos o$ rie a week- how muh rie will 12



remaining money on a book- Tina $ound she had e8atly&).

ow muh money had she at :rst!

__________ (.,$4

5 o$ a tank an be :lled in 1/1

5 min- how long will

it take to :ll

the whole tank! __________ /. The produt o$ )+ 8 (2 is ""2. #hat is the produt o$) +22 8 ( 222!

__________ ). The three sides o$ a triangle are 1/1

2 m- 1"1

5 m

and 1'5

6 m.

#hat is its perimeter!

__________ . ow many )./ m piees o$ ribbon an be ut $rom apiee

"2 m long!

__________ +. A man dri%es at (2 kmFhr $or ' hours and at /2 kmFhr $or" hours.

#hat is the a%erage speed $or the 3ourney! __________ &. A park is 1"2 m long and 12/ m wide. About how many

times must a 3ogger go around the park ompletely to make

sure he has run at least ' kilometers! __________ 12. A piee o$ artolina (/ m by ') m is ut into equal

squares the biggest that is possible so that no material willbe wasted. ow many squares an be ut!

__________ 11. A pole is dri%en into the ground so that11

15 o$ it is

abo%ethe ground. ,$ + dm o$ it is in the ground- how long is the

pole! __________ 1". Two numbers are in the ratio '=(. ,$ one number is 1)more than

the other- what is the bigger number! __________ 1'. A ylist rode '/ km at 12 kmFhr and another '2 km at1" kmFhr.

ow long did he take $or the 3ourney! __________ 1(. A man is going to build a $ene around a retangularyard (2 m

long and ') m wide. ,$ the posts are to be " m apart and one

additional post is needed $or the gate- how many posts areneeded!



1. A retangular garden is // m by '" m. ow muh would it ost to$ene thegarden with ( strands o$ barbed wire at "/ a meter.

'

". 9tudy the $ollowing. ( " W " > 1"- ' / W ' > "(- / ' W ( > '1.#hat is ) W (!

'. A an plough a :eld in )2 hours6 < an do it in (+ hours and C ando it in /2

hours. ow long will it take C to :nish ploughing it alone a$ter A and <ha%eeah done 1" hours o$ work!

(. Cupakes ost (./2 and <rownies ost )./2. ow many o$ eah

kind an bebought $or e8atly &(./2!

/. A grass lawn is ++ m long and )) m wide. There are ' irular Gowerplots o$ radius / m along the middle. #hat is the area o$ the grass in it!

888& Solve eac% proble1 on scratc% paper& "%en< /rite a neat<clear and co1plete solution 9or it on t%e space provided& 5points eac%;

1. Xsing 1- "- '- ( and - how many ";digit numbers an you $orm i$ a. no digit may be repeated! Can you e8plain your answers!b. any digit may be repeated!

. how many o$ the numbers $ormed in RbS are e%en!



irum$erenes are in the ratio1

3 =1

2 =1

6 .Bind the sum o$ the

diameters o$ the largest and smallest irles.

'. ne;third o$ the area o$ a retangle is equal to4

5 o$ the area o$ a

square o$ side1/ m. ,$ the width o$ the retangle is 1+ m- :nd its area- length andperimeter.

2

Grade 5

2008 Regional Individual Finals Metrobank-MTAP-De!d Mat"

#"allenge

I$ %olve ea&" ite' and (rite t"e ans(er on t"e blank be)ore ea&" nu'ber$

*2 oints ea&"+

__________ 1. What is the tens digit of (8 x 100) + (8 x 40) + (4 x 8)?

__________ 2. What will you add to 1111 to get a sum of 10 100?

__________ 3. What is (!! + ) " ?

__________ 4. What is the #$% of 420 and 2&2?

__________ &. 'xess 12!*00 as a odut of its ime fatos.

__________ *. What is ,! the answe in

(20 " 2) + (30 " 3) + (40 " 4) + (&0 " &) - / " & - , ?

__________ . f * widgets euals 12 fidgets! then 10 widgets euals how

many fidgets?

__________ 8. What must e added to the diffeene of 1&!004 and 00 to

mae it 10!000? __________ . 5ow many ints of aint will you uy to aint a oof! 48 m y

22 m with two oats if a int an o6e 18 m2 of aint?



What is the total sufae aea to e o6eed with sil?

__________ 13. :he edge of one ue is doule that of anothe. 5ow many

times as geat is the 6olume of the igge ue?

__________ 14. ;ay ead2

9 of a oo on <iday and1

3 of it on =atuday.

:he

est! 1*0 ages! he ead on =unday. 5ow many ages has the oo? __________ 1&. 7 us ta6els 3* m in 4& min. 5ow fa will it go in 1 >

hous?

II$ %olve ea&" ite' on s&rat&" aer, t"en (rite a neat and &o'lete

solution on t"e sa&e a)ter Part III and t"e aer rovided$ * oints

ea&"+

1. 5ow many los measuing 3 in y 4 in y & in an e aed in a oxmeasuing 4 ft y & ft y 3 ft intenally?

.

2. =heila went to %egamall. =he sent1

3 of he money at ayo. =he went to

@enshoe and sent1

3 of he emaining money. <inally! at $indeella! she

sent the emaining 180. f she had no money left! how muh money did she₱ egin with?

3. 7 outyad is 3* m y 24 m. 5ow many suaes! 3 dm y 3 dm an e

dawn on it if none of the suaes o6ela?

4. <ind the amount of wood used to mae an oen ox! 2& m long! 14 m

wide and 8 m high! extenal dimensions! if the wood used is & mm thi.

&. :he odut of two numes is &040. f the geatest ommon fato is 12!

what is the least ommon multile? <ind two numes that satisfy the

onditions.



1. :he odut of thee whole numes is 230. f no two of the thee whole

numes ha6e a ommon fato! find as many tiles of numes as you an

find that satisfy the onditions.

2. :he ost of one 2lite ottle of Auie is & times the ost of a an of Auie. f

one 2lite ottle osts 20 moe than 3 ans of Auie! how muh does one 2₱

lite ottle ost?

3. %a! ;ay and $alo shaed 1200 males in the atio 4 9 & 9 . Buing a

game! %a won4

15 of $aloCs males! and ;ay lost2

25 of his males to

$alo. 7t the end of the game! how many males did eah oy ha6e?

2

2002 /I7ST NATIONAL-Metrobank-MTAP-DepEd Math ChallengeGrade 5

Solve each item and write the answer on the blank beore the n!mber" #$se π % &"'()

_________ 1. What is the value of in ! "#$ %1&'

_________ %. Write MD() in *indu-Arabi+.

_________ $. Write three ,illion four hundred fift thousand si/t-five in figures or standardfor,.

_________ #. *o0 ,an ti,es greater is the underlined ! in # "!& "!# than the ! that is not underlined'

_________ ". f +an save &" a ,onth ho0 ,u+h do save in # ears'₱

_________ !. 2ind 3 in the pattern4 % $ " 1% ___ 3.

_________ &. What is the re,ainder 0hen "!# is divided b %$'

_________ . A far,er harvested 156 +avans of pala fro, his field. f ea+h +avan sold for$"5 ho0 ,u+h did he get'₱

_________ 6. What is the su, of the first " pri,e nu,bers greater than "5'

_________ 15. Three ,ore than ! ti,es a nu,ber is #". What is the nu,ber.



_________ 1#. What is the 9C2 of "# and 65'

_________ 1". What is the )CM of "# and 65'

_________ 1! What is the s,allest nu,ber that has 1% 1$ and $5 as fa+tors'

_________ 1&.Evaluate4 $ : ;#1

2 / 15

6 <.

_________ 1=edu+e56

84 to lo0est ter,s.

_________ 16.>ean bought "3

5 , of 0hite +loth and $3

4 , of blue +loth. *o0 ,an

,eters of +loth did she bu'

_________ %5. ?eus has a string %!2

3 d, long and Ador has one that is 1&4

5 d, long.

*o0 ,u+h longer is the string of ?eus'

_________ %1.Divide #2

3 b $1

9 .

_________ %%. Add2

3 to the @uotient of # divided b ".

_________ %$.Change "7


_________ %#. >o bought # ,angoes for #!. At the sa,e rate ho0 ,u+h 0ould a doen₱

+ost'

_________ %". *er+ules had a te,perature of $6.# oC this ,orning and $&. C this afternoonB ho0 ,u+h did the te,perature go do0n'

'

_________ %!. f #.%! : $ 1.#% 0hat is #%.! : 5.1#%'

_________ %&. Change 1"" to a fra+tion in lo0est ter,s.

_________ %.Change %1

5 to per+ent.

_________ %6. A student got 65 of a test. *e ans0ered $! ite,s +orre+tl. *o0 ,an ite,s0ere in the test'

_________ $5. ut of 155 students in 9rade " # are bos. What per+ent of the 9rade "students are girls'

_________ $1. There are #"5 Cub and Bo F+outs in a s+hool. f &5 are Cubs

ho0 ,an are Bo F+outs'

$% 2ind 3 if 3 4 65 1# 4 $5



_________ $!. Tessie uses %.% ,eters of +loth for one unifor,. *o0 ,an unifor,s +an she,ake fro, %5 ,eters of +loth'

_________ $&. 2ind the peri,eter of a regular pentagon 0ith sides that are 65 d, long.

_________ $. A +ir+ular ,an-,ade lake has a radius of $5 ,. What is its area'

_________ $6. A re+tangular field is 6" , long and & , 0ide. f ou run around it # ti,es ho0 ,an ,eters 0ill that be'

_________ #5. An angle is t0i+e its +o,ple,ent. 2ind the angle.

_________ #1. A +losed bo/ is & d, b # d, b " d,. What is its total surfa+e area'

_________ #%. What is the volu,e of the bo/ in +(''

_________ #$. The base of an isos+eles triangle is %6 +, and the peri,eter is &" +,.*o0 long is a leg'

_________ ##. A +ir+ular pool has a dia,eter of %# ,eters. f ou 0alk around it ho0 ,an ,eters 0ill that be'

_________ #". A base angle of an isos+eles triangle is "%o. 2ind the verte/ angle.

_________ #!. An angle is 15o ,ore than its supple,ent. 2ind the angle.

_________#&. 3ell ,ade a +ir+le graph to represent her da of %# hours. f she 0orks for hours ho0 ,an degrees is the se+tor that represents her 0ork'

_________ #. The s+ale of a ,ap is 1 +, to $5 k,. f t0o +ities are #"5 k, apartho0 far apart are the on the ,ap'

_________ #6. The parallel sides of a trapeoidal field are # , and !# ,. f the are #" ,apart 0hat is the area of the field'

_________ "5. *o0 ,u+h soil 0ill be needed to raise a flo0er plot b 1 d, if the plot is!." , long and # , 0ide'

2

200( /I7ST NATIONAL-Metrobank-MTAP-DepEd Math Challenge

Grade 5

Solve each item on scratch ,a,er and write the answer on the blank" #$se π % &"'()

_________ 1. What is the pla+e value of ! in &#!6"#"&'

_________ %. &$"#5 & / 15" 7 $ / 15# 7 3 7 #5. What is 3'

_________ $. Whi+h nu,ber has % and 6 as fa+tors' !%% &%!% !$5.

_________ #. What is the re,ainder 0hen $#&" is divided b $&'

_________ ". *o0 ,an pri,e nu,bers are there bet0een 5 and 155'



_________ 6. What is the largest digit that +an be pla+ed in the blank to ,ake #"__&divisible b !'

_________ 15. T0o nu,bers are %$ / $% / " / 11 and %% / $$ / " / & respe+tivel 0rittenas produ+ts of their pri,e fa+tors. Write their least +o,,on ,ultiple using e/ponents.

_________ 11. Write the s,allest 6-digit nu,ber 0ith $ different digits repeated onl on+e.

_________ 1%. What is the differen+e bet0een the largest and the s,allest nu,bers that +an

be for,ed using all the digits # " & and 6' _________ 1$. Write %"%5 as a produ+t of pri,e fa+tors using e/ponents.

_________ 1#. What is the s,allest nu,ber that has 1% %" and $5 as fa+tors'

_________ 1". What is the greatest +o,,on fa+tor of %#5 and %&5'

_________ 1! 1! is 0hat per+ent of #5'

_________ 1&. $& is #" of 0hat nu,ber'

_________ 1. What is the least +o,,on ,ultiple of %#5 and %&5'

_________ 16.=edu+e105


_________ %5.Change 7


_________ %1.Change131


_________ %%. >o bought 1 K doen ,angoes for 15". At the sa,e rate ho0 ,u+h 0ill₱

" doen ,angoes +ost' _________ %$. A gold +oin 0eighs %5 gra,s. f the +oin +ontains gold +opper and tin in the

ratio #4$41 ho0 ,u+h gold is there in the +oin' _________ %#. 2ind t0o nu,bers 0hose su, is 1! and the produ+t is #.

_________ %". A book is opened to 0here the su, of the nu,bers of the fa+ing pages is $1$.What is the bigger of the t0o page nu,bers'

'

_________ %!. Pat had 1% apples. *e gave ea+h of his friends I of an apple and kept I for hi,self. *o0 ,an friends 0ere 0ith hi,'

_________ %&. There are !5 9rades #-! students in a s+hool. f $" of the, are in 9rade "ho0 ,an 9rade " students are there'

_________ %. =ose bought a blouse at a dis+ount of 1 for 1#&.!5. What 0as the ,arked₱

pri+e of the blouse'. _________ %6. There are %#5 s+outs in a s+hool. f 65 of the, are +ubs 0hat per+ent of thes+outs in the s+hool are +ubs'

_________ $5. Ann +an ,ake one unifor, 0ith %.# , of +loth. *o0 ,an unifor,s +an she,ake fro, %5 , of +loth'

$1 Whi+h of the follo0ing nu,bers +an be 0ritten as the su, of t0o pri,es'



'2m(0m

_________ $#. What is the area of the sa,e figure'

_________ $". f ,en +an do a pie+e of 0ork in ! das ho0 ,an ,en +an do it in # das at the sa,e rate'

_________ $!. A restaurant +harges # servi+e +harge. f our order a,ounted to #"5₱

ho0 ,u+h did ou pa'

_________ $&. A +losed bo/ for a raffle is " d, long $." d, 0ide and & d, high. f it is tobe +o,pletel +overed 0ith +olored paper ho0 ,u+h surfa+e is to be +overed'

_________ $. An a@uariu, is ! d, long # d, 0ide and # d, high. *o0 ,an liters of 0ater

does it +ontain 0hen it is5

6 full'

_________ $6. A base angle of an isos+eles triangle is "%o. What is the verte/ angle'

_________ #5. *o0 ,an +ubi+ ,eters of soil 0ill be needed to raise a # , long and %." ,0ide flo0er plot b 1" +,'

_________ #1. f our step is about &5 +, and ou +an ,ake !5 steps a ,inute ho0 far +an ou 0alk in 15 ,inutes'

_________ #%. A park is " , long and &5 , 0ide. f ou Gog around it ! ti,es ho0,an ,eters 0ill that be'

_________ #$. The ratio of t0o nu,bers is $ 4 " and their differen+e is $#. 2ind thebigger nu,ber'

_________ ##.The average of t0o fra+tions is7

8 and one fra+tion is3

2 . What is the

other' _________ #". The s+ale of a ,ap is 1+, 4 1" k,. f t0o to0ns are #." +, apart on a ,ap

ho0 ,an kilo,eters apart are the' _________ #!. A s+hool basketball tea, 0on I of its ga,es. f it 0on 1# ,ore ga,es than it

lost ho0 ,an ga,es did it pla' _________ #&. The parallel sides of a trapeoidal field are "% , and ! ,. f the are # ,

apart 0hat is its area'

_________ #. A +ertain su, of ,one is suffi+ient to pa the 0ages of 1% ,en for 1" das.2or ho0 ,an das 0ill it be enough for 6 ,en'

_________ #6. The length of a re+tangular garden is $ , ,ore than the 0idth. f the peri,eter is 15! , find the length of the garden.

_________ "5. A roo, is ".& , 0ide and !.! , long. *o0 ,an $5-+, tiles are needed to+over it '

2

20.0 Mat" #"allenge Grade 5 Division 1rals

.5-se&onds uestion



&. f a oat ta6eled &*0 m in 8 hs! what is its seed in ilometes e hou? 0

mDh/

*. What nume is 2& moe than the odut of 12 and 1&? 20&/

. What is , in 1&, -22&? 1&/

8. What is the nume with a ime fatoiFation of 23 x 32 x &? 3*0/

. 5ow many 2& enta6o iees ae eual to @3.&0? 1&0/

10.'xess the odut of &0 000 x *0 in sientifi notation. 3 x 10*/

11.What is the ime fatoiFation of 240? 24 x 32 x &/

0-se&onds uestion

1. ;oet mixes 3 ags of sand with 2 ags of ement. 5ow many ags of sand

should he mix with 12 ags of ement? 18/

2. <ind the diffeene of 8 3D& x 3/ G 18 1D2. 3D10/

3. :hee loa6es of ead ost @12.&0H how muh do 2 loa6es ost? @8&/4. 7 mahine stams 2&0 en6eloes in 1 2D3 minutes. 5ow many an it stam in 1

min? 1D4 o 4 I/

&. :he odut of two numes is 1& &D*. f one nume is 3 1D3! what is the othe?

*. :he eimete of an isoseles tiangle is &3 m. f the ase is 1 m! find the length

of eah leag. 18 m/

30-'inute1. ,ine times '6aCs age

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&. 'xess 4.12& as a mixed nume with the fation at in lowest tem.

*. =utat the geatest 2 digit e6en no. fom the geatest 3 digit odd no.

. What is 2&E of 8&2?

8. 7 louse maed @180 was ought at a disount of 1&E. 5ow muh was the

disount?

. 4 x 4 - 1*. 1* is a suae nume. What ae the suae numes etween 20 and &0?

10.n a shool! thee ae 4 oys fo e6ey & gil students! if thee ae 2!00 students! how

many oys ae thee?

A!RAG!=

1. When the aea of a suae is 00 m.! what is the eimete?

2. :oy oot maed at @88& was sold at 1&E disount! how muh was aid fo it?

3. @odut of 2 whole numes is 48! what is the geatest ossile sum of the 2 whole

numes?

4. @M got 2E afte missing items. 5ow many items ae thee in the test?

&. $ue edge of 1& m was filled with 2# wate! how muh wate is needed to fill it?

DIFFI#:7T=

1. 7 louse on sale @1&0 is *0E of its egula ie. <ind the egula ie.

3. 7long the highway! a a ta6els at 0m.Dh. fo 3 hs. and 80m.Dh. fo 2 hs. What

is the a6eage seed of the a?

4. %ilaCs fathe has 2 Aos. 1st Ao ays @3& moe than the 2nd Ao. 5ow muh does he

get fom the 1st Ao if he gets e wee a total of @3!8&?

&. :he aea of 4 suaes is the same as the aea of 12 m. x 2 m. etangle. What is the

eimete of eah suae?

.



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