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QUESTION 3(a)

NON-ROUTINE PROBLEM

Year : 2

Learning outcome : Solve prolem! involving multiplication "it#in 2$ %$ & an' (

time! in real li)e !ituation!*

+ue!tion ,:

l)ie u.! a mo'el car an' a mo'el plane to ma/e* T#e car #a! t"o !et! o) ,0

!tic/er! an' t#e plane #a! t#ree !et! o) ,( !tic/er!*

1o" man. !tic/er! are t#ere altoget#er

,* Un'er!tan' t#e prolem

• mo'el car an' a mo'el plane

• Mo'el car 3 2 !et! 4 , !et 3 ,0 !tic/er! 5

• Mo'el plane 3 % !et! 4 , !et 3 ,( !tic/er! 5

• Total o) all t#e !tic/er! )or ot# o) t#e mo'el!

2* 6evice t#e plan

• 6ra" t#e 'iagram

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%* 7arr. out t#e plan

4 ,0 !tic/er! 8 2 5 9 %&

4 ,( !tic/er! 8 % 5 9 &(

%& !tic/er! &( !tic/er! 9 0; !tic/er! <

&* 7#ec/ t#e an!"er

• U!e t#e inver!e met#o' : ''ition Su!traction

Multiplication 6ivi!ion

0; !tic/er! 3 &( !tic/er! 9 %& !tic/er!

%& !tic/er! = 2 9 ,0 !tic/er!

&( !tic/er! = % 9 ,( !tic/er!

1717151717

3rd SET2nd SET1st SET2nd SET1st SET

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Year : &

Learning outcome : Solve !utraction an' a''ition prolem! up to ,>> >>>

+ue!tion 2:

Mari!!a love! to collect ottle cap!* S#e #a! 2? 0(> ottle cap!* 1er !i!ter give! #er

anot#er %0 (>> ottle cap!* I) Mari!!a give! a"a. (> (>> ottle cap! )or rec.cling$

#o" man. ottle cap! 'oe! !#e #ave no"


• Mari!!a #a! 9 2? 0(> ottle cap!

• 1er !i!ter give! 9 %0 (>> ottle cap!

• S#e give! a"a. 9 (> (>> ottle cap!

2* 6evice t#e plan


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&* 7#ec/ t#e an!"er


,% 0(> (> (>> 9 ?& (>>

?& 2(> 3 %0 (>> 9 2? 0(>

Mari!!a #a!

2? 0(> ottlecap!

1er !i!ter give!

%0 (>> ottlecap!

(> (>> ottlecap!

Rec.cle2? 0(> ottle cap! %0 (>> ottle

cap! 9 ?& 2(> ottle cap!

?& (>> ottle cap! 3 (> (>> ottle

cap! 9 ,% 0(> ottle cap!

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QUESTION 3(b)

IN@ESTIATION IN MT1EMTI7S

Year : (

Learning outcome: calculating t#e area o) compo!ite-t"o 'imen!ional !#ape

4triangle5

+ue!tion ,:

7alculate t#e area o) triangle in 6iagram ,


• rea o) a !mall o8 i! , cm

• T#ere are o8e! )or t#e a!e

• T#ere are ? o8e! )or t#e #eig#t

2* 6evice t#e plan

• U!ing t#e )ormula o) t#e area o) triangle


1eig#t$ # 9 ,cm 8 ,cm 8

9 cm

Ba!e$ 9 ,cm 8 ,cm 8 ?

9 ? cm

rea o) triangle 9 C 8 #eig#t$ # 8 a!e$

9 C 8 cm 8 ? cm

9 2& cm

, cm

, cm

6IARM ,

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&* 7#ec/ t#e an!"er

• rea o) triangle 9 C 8 #eig#t$ # 8 a!e$

2& cm 9 C 8 cm 8 a!e$

2& cm 9 & cm

Ba!e$ 9 2& cm = & cm

9 ? cm

OR

2& cm 9 C 8 #eig#t$ # 8 ? cm

2& cm 9 % cm

1eig#t$ # 9 2& cm = % cm

9 cm

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Year : (

Learning outcome: Solve prolem! involving volume o) compo!ite %-6 !#ape!*

+ue!tion 2:

T#e area o) t#e a!e o) a cuoi'al gla!! container i! 02> cmD* T#e #eig#t o) t#e

container i! 2& cm* o) t#e container i! )ille' . t#e "ater* 7alculate t#e volume o)

"ater in t#e container in cmF*


• T#e area o) t#e a!e o) t#e container 9 02> cmD

• T#e #eig#t o) t#e container 9 2& cm

• i! )ille' . "ater

• Gin' t#e volume o) t#e "ater in cmF

2* 6evice t#e plan

• U!e t#e 'iagram

• U!e t#e )ormula o) volume o) t#e cuoi'


02> cmD

T#e #eig#t$# o) )ille' "ater 9 8 2& cm

9 ? cm

@olume o) cuoi' 9 rea o) a!e$ cmD 8 #eig#t$ cm

9 02> cmD 8 ? cm

9 & %2> cmF

&* 7#ec/ t#e an!"er

02> cmD

2& cm

)ille' .

"ater

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T#e #eig#t$# o) )ille' "ater 9 & %2> cmF = 02> cmD

9 ? cm

QUESTION 3(c)

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PPLI7TION

Year : ,

Learning outcome: Solve !imple prolem involving mone. in realli)e !ituation!*

+ue!tion , :

Siti u.! a gla!! o) orange Huice an' t"o piece! o) ca/e! at #er !c#ool canteen ever.

'a.* I) t#e Huice i! RM ,*%> an' a piece o) ca/e i! RM >*>$ #o" muc# 'oe! !#e

!pen' to u. t#e 'rin/ an' t#e ca/e! )or )ive 'a.!


• Price o) t#e orange Huice : RM ,*%>

• Price o) a piece o) ca/e : RM >*>• Siti u.! 2 piece! o) ca/e! ever. 'a.

• Total o) mone. !#e !pen'! )or ( 'a.!

2* 6evice t#e plan

• U!e a tale

• U!e t#e 'iagram


ITEM +UNTITY PRI7E PER ITEM TOTL

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ORNAE UI7E

, RM ,*%> RM ,*%>

7JE

2 RM >*> RM ,*?>

TOTL RM 2*;>

Price o) orange Huice an' t"o piece! o) ca/e! per 'a. 9 RM 2*;>

Price )or ( 'a.! 9 RM 2*;> 8 (

9 RM ,&*(>

&* 7#ec/ t#e an!"er

• U!e t#e inver!e met#o' : Multiplication 6ivi!ion

Price per 'a. 9 RM ,&*(> = (

9 RM 2*;>

Price per piece o) ca/e 9 RM ,*?> = 2

9 RM >*>

Year : ,

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Learning outcome: Solving prolem in real li)e !ituation u!ing a''ition an'

!u!traction "it# t#e #ig#e!t numer i! ,>*

+ue!tion 2 :

#ma' u.! ,> can'ie! at # Seng !#op* 1e t#en give! % can'ie! to #i! rot#er an'

anot#er % can'ie! to S#i/in* 1o" man. !"eet! t#at #e #a! no"


• #ma' u.! 9 ,> can'ie!

• 1e give! to #i! rot#er 9 % can'ie!

• 1e give! to S#i/in 9 ? can'ie!

2* 6evice t#e plan



,> can'ie! 3 % can'ie! 3 % can'ie!

9 & can'ie!

&* 7#ec/ t#e an!"er

• U!e inver!e met#o' : Su!traction ''ition

!utract

!utract

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#ma'K! can'ie! 9 & % %

9 ,> can'ie!

QUESTION 3(d)

AMES

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Year : 2

Learning outcome: Solving prolem involving multiplication "it#in , to ( an' a''ition

al!o !u!traction*

+ue!tion , :

In a )ootall tournament$ t#e rule! in or'er )or a team to e a "inner i! . getting t#e

#ig#e!t point!* ( point! "ill e given to t#e team t#at i! "in )or t#e matc#* T#e team

t#at i! lo!e "ill get , point an' )or t#e tie matc#$ 2 point! "ill e given* ImranK! team

#a! "on % matc#e!$ lo!e )or one time an' , tie matc#* 'amK! team "in 2 matc#$

lo!e 2 time! an' , tie matc#* #at i! t#e 'i))erence et"een ot# o) t#e teamK!

point!


• in 9 ( point!

• Lo!e 9 , point

• Tie 9 2 point!

• ImranK! team 9 in : % time!

Lo!e : , time

Tie : , time

• 'amK! team 9 in : 2 time!

Lo!e : 2 time

Tie : , time

2* 6evice t#e plan

•

U!e t#e tale


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Team in Point! Lo!e Point! Tie Point!

Imran % % 8 ( 9 ,( , , 8 , 9 , , , 8 2 9 2

'am 2 2 8 ( 9,> 2 2 8 , 9 2 , 2 8 2 9 &

ImranK! team 9 ,( , 2

9 ,

'amK! team 9 ,> 2 &

9 ,?

6i))erence! et"een ot# team! 9 , 3 ,?

9 2 point! <

&* 7#ec/ t#e an!"er


ImranK! team 9 2 point! ,? point!

9 , point!

Year : ,

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Learning outcome: !olving prolem in real li)e involving a''ition an' !u!traction

+ue!tion 2 :

Gi'a$ I.lia$ S.ira$ ia#$ Mira an' Gare love to pla. a game* ll o) t#em are 'ivi'e' into

2 group! "#ic# contain % people in eac# group* In t#e game$ i! given ; all!* T#e.

#ave to t#ro" t#e all! into a a!/et* Gi'a$ I.lia an' S.ira are in Team "#ile ot#er!

are in Team B* I) Team can t#ro" & all! into t#e a!/et an' Team B cannot get (

all! to get into t#e a!/et$ )in' t#e total o) t#e all! t#at ot# team can t#ro" into t#e

a!/et*


• Team can t#ro" into t#e a!/et 9 & all!

• Team B cannot t#ro" into t#e a!/et 9 ( all!

• T#e total o) all! t#at ot# team can t#ro" into t#e a!/et

2* 6evice a plan

• U!e t#e 'iagram


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T#e all! t#at can e t#ro"n . team B 9 re' all

9 & all!

T#e total o) t#e all! t#at can e t#ro"n . ot# team! 9 & &

9 all! <

&* 7#ec/ t#e an!"er

• U!ing inver!e met#o' : ''ition Su!traction

T#e all! t#at can e t#ro"n . team B 9 3 &

9 & all!

QUESTION 2(a)

Re' all 9 can t#ro"

into t#e a!/et

Yello" all 9 cannot

t#ro" into t#e a!/et

Team Team B

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Price )or ? apple! an' ,> orange! i! RM ,%* I) t#e price )or eac# o) t#e 2 apple! i!

RM ,*(>* #at i! t#e price )or % orange!

Solution :

Price )or an apple 9 RM ,*(> 2

9 RM >*0(

Price )or ? apple! 9 RM >*0( 8 ?

9 RM &*(>

Price )or ? apple! an' ,> orange! 9 RM ,%

Price )or ,> orange! 9 RM ,% 3 ? apple!

9 RM ,% 3 RM &*(>

9 RM *(>

Price )or an orange 9 RM *(> ,>

9 RM >*(

Price )or % orange! 9 RM >*( 8 %

9 RM 2*((

QUESTION 2(b)

REGER TO T1E RELI

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7i/gu Ja!!im #a! ,0? pencil!* S#e give! 2? pencil! to Mut#u* T#e alance o) t#e

pencil! are 'ivi'e' euall. to Siti$ Tan an' S#anti* 7alculate t#e pencil! t#at Siti get!*

SOLUTION :

Aive! to Siti

7i/gu Ja!!imK!

pencil! 9 ,0? 2? pencil!

Balance are

'ivi'e'

Mut#u

S#antiTan

Siti

Siti

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Balance 9 ,0? 3 2?

9 ,(>

SitiK! pencil! 9 ,(> %

9 (> pencil! <

QUESTION 2(c)

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T#ere i! a o8 contain! re' all!$ green all!$ .ello" all! an' lue all!* >*% o) t#e

all! are re' all!$ >*& are green all! an' ot#er! are lue an' .ello" all!* T#e !um

o) lue all! are t"ice t#e !um o) t#e .ello" all!* T#e numer o) re' all! are ,0

more t#an lue all!* 1o" man. all! are t#ere in t#e o8

QUESTION 2(d)

AreenRe'Yello"Blue

>*&>*%

2 : ,

2 : ,&=,>%=,>

Numer o) re' all! i! ,0 more

t#an lue all!

,0

SOLUTION :

, part o) re' 9 ,0 all!

,> part! 9 ,> 8 ,0

9 ,0> all!

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alil #a! RM *>>* T#e total o) mone. t#at alil$ Ma#mu' an' Bor#an #ave i! RM

%>*>>* T#e total o) mone. t#at alil$ Ma#mu' an' 6a#lan #ave i! RM &>*>>* I) t#e

total o) mone. t#at )our o) t#em #ave i! RM (2*>>$ "#at i! t#e total o) mone. t#at

Ma#mu' #a!

6IARM ,

6IARM 2

6IARM %

RM %>*>>

Bor#anMa#mu'alil

RM %>*>> 3 RM *>>

9 RM 22*>>

RM *>>

RM &>*>>

6a#lanMa#mu'alil

RM *>>

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RM (2*>>

Bor#an 6a#lanMa#mu'alil

RM (2*>> 3 RM&>*>>

9 RM ,2*>>

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l

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kkp maths 1

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