STUDENT'S COPY MODULE 4

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: n a h a r A 1 Moduli n imengandung iempatpuluh ilma soalan .Semuasoalanadalahdalam . s ir e g g n I a s a h a b 2 Modu lmerangkum iilmakonsrtuk yangdiuij 3 K -Memahamii stliahmatemaitkdalambahasa I ngge irs 5 K -Menguasa ikonsrtukpengetahuan 6 K -Menguasa ikonsrtukkefahaman 7 K -Menguasa ikonsrtukkemahrian 8 K - Mengungkapkani deai/nformas idalambahasaI ngge irs 3 Mu ird hendaklah menuils makluma t dri i dalam ke tras jawapan objekit f u lr e p a g u j d ir u M . n a k a i d e s i d memasitkanmakluma tkonsrtuk ,nombo rsoalandan m a l a d n a k a i d e s i d n a g n a u r m a l a d i d u r u g h e l o a c a b i d g n a y i tr e p e s n a l a o s h a l m u j . n a ij u m u l e b e s f it k e j b o n a p a w a j s a tr e k 4 Bag isoalan objektfi ,anda pe lru menandakan j awapan dengan mengh tiamkan n a p a w a j n a h il i p pada piilhan j awapan A ,B ,C atau D pada ke tras j awapan .f it k e j b o : h o t n o C ? n a w i a h h a k a n a m g n a y , t u k ir e b a r a t n A . A Pokok B . Kambing C . Kereta D . P en 5 Untuk soalan subjektfi ,jawapan hendaklah dtiuils pada kertas berasingan . u r u g h e l o n a k a i d e s i d g n a y 6 Jawabsemuasoalan. l u d o M in imengandung i15 halaman bercetak D A B C E

1 53_{i sknownas_________,} A Indexnumber B logartihm C indices D base 2 Whichoft hef ollowingr epresen ta rfacitonali ndex ? A 3 1 ( )52 B 53 2 C ₄ 51 D ( 2 3 )2 3 Whati szeroi ndex? A a0_{=1 ,a z 0} B a0_{=1 ,a 0=} C a1=0 ,a z 0 D a1_{=0 ,a 0=} 4 Wha tdoes _an_{meani fni saposiitvei ntege r?} A a mulitplybyn. B n mulitplyby a. C a mulitpiles tiseflf o rn itmes. D n mulitply tiseflf o ra itmes.

5 Wha tdoesnumbe r5r epresenti n ₅n _? A index B base C logartihm D antliogartihm 6 Whati scommonlogartihm? A Alogwtihbase10 B Alogwtihi ndex10 C Alogwtihbase2 D Alogwtihi ndex2 7 Inwhatf orm103 = 1000 i swirtten? A indexf orm. B indicesf orm. C logartihmicf orm D generalf orm 8 Wha tdoes yrepresenti nt heequaiton logy N x ? A base. B facto .r C intege .r D index. 9 Wha tdoesnumbe r5r epresenti n 25 32 A base. B indices. C intege .r D index.

0 1 Determinet hebase i n log_q p r A p B q C r 1 1 Whichoft hef ollowingr epresen tacommon glo ? A log210 B log410 C log810 D log1010 2 1 Changel og47 rfomt hebase4tot hebase10 . A 7 g o l 4 g o l 0 1 0 1 B log10 ₇4 C 4 g o l 7 g o l 0 1 0 1 D log10 4 7 3 1 Rewrtie 3 2 5 2 1 sa cuber oo to f125. A 231 25 B 3 2 5 2 1 C 2₁₂₅3 D 3₁₂₅2

4 1 Findt hevalueof 0 8 . A 0 B 1 C 8 D 8 0 5 1 Change5-2 _{tot he rfacitonalf orm.} A ₅ 2 1 B _{- 5} 2 1 C _-2 51 D ₂ 5 1 6 1 Express 0 0 0 1 1 ini ndexnotaiton. A ₁₀ 4 B ₁₀ -4 C ₁₀ 3 D ₁₀-3 7 1 Findt hesimplestf ormf or 7n+1_x72n A ₇3n1 B ₇2n(n1) C 2 2 1 7 n  D ₇n12n

8 1 If loga N x then N ax e g n a h C logq p r intoi ndexf orm . A _{p r}q B _{p q}r C _{r q}p D _{r p}q 9 1 Findt hevalueof

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-8 . A zero B negaitve C undeifned D unknown 1 2 Whichoft hef ollowingi s rtue ? A 23 2 = 2.67 B 22 _{= 0.25} C _{2 = 6} 3 D 22 1 = 2

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5 1 4 2 e h t s i g n i w o ll o f e h t f o h c i h W co rrec tanswer? A i da ii n B i da iii n C ii da vn i D iii da i n 3 2 Express glo a2 + glo a 5asasinglel ogartihm. A loga 7 B loga1 0 C log107 D log101 0 4 2 Simplfiy 51 _{y 5}2_. A 53 B 52 C 52 1 D 51

5 2 Rewrtie 3 21 2 6 1 8 u ni i ndexf ormwtiht hesamebase. A 2 1 4 3 2 2

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byusingascienitifccalculato .r A 3.260 B 1.250 C 2.620 D 0.3816 0 3 Given log102 0.3010 and log103 0.4771, wtihou tusingscienitifccalculator ,if nd e h t valueof glo 106 A 0.1761 B 0.1436 C 0.7782 D 0.7781 1 3 Usingt hel awsofl ogartihm,simplfiy

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2 3 Given log5M 2log53 ,if ndthevalueo M . f A 3 B 5 C 6 D 9 3 3 Wtihou tusingascienit ifccalculator ,calculatet hevalueo f 4 22 g o l  _. A 8 B 4 C 4 D 8 4 3 Simplfiy _{log p}2 _{2log pq log q}2 a a a   usingl awsofl ogartihms. A _¸¸ ¹ · ¨¨ © § 2 2 2 g o l q p q p a B _¸¸ ¹ · ¨¨ © § q p q p a ₂ g o l 2 2 C _¸¸ ¹ · ¨¨ © §  2 2 2 ) ( g o l q p q p a D _¸¸ ¹ · ¨¨ © § 2 2 2 ) ( g o l q p q p a 5 3 Wtihou tusingacalculator ,evaluate2 l og105+l og10 4 A 2 B 10 C 4 0 D 1 00

6 3 Wtihou tusingt he scienitifccalculator ,evaluate

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0 4 Thel ogartihmicequaiton log2(2x1)log2(x5) 3 canbesolvedbyt he s p e t s g n i w o ll o f : 3 ) 5 ( g o l ) 1 2 ( g o l 2 x  2 x

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2a -nd 6 1 4 1 4 Given 3 2 n g o l 27 . Howcanwe ifndt hevalueo fn? A C ah nget hel ogartihmequa itont oi ndexequaiton. B Changet hei ndexequa itont ol ogartihmequaiton. C U es t hel awsofl ogartihm. D U es t hel awsofi ndices. K

2 4 Howt osolvet heequaiton 3 x 2 _? A U es indicesonbothsides. B Usei ndicesononesideonly . C Usel ogartihmonbothsides. D Usel ogartihmononesideonly. 3 4 Whicho fthef ollowingi st hebes twayt osolve 2 x 64 _? A Changet hebase. B Divide 46 bothsideb 2y and simplfiy . C Squarer oo tof 46 . D Expressi nt hesamebaseand comparet hei ndices. 4 4 Howt or eadl ogaxcompletely? A logo fx t ot hebaseo fa B logo fat ot hebaseo fx C logx. D log a 5 4 Howt or ead _{a ?}x A

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S E U Q F O D N E TIONSPAPER

16 7 1 8 1 9 1 0 2 A B C D E A B C D E A B C D E A B C D E A B C D E 21 2 2 3 2 4 2 5 2 A B C D E A B C D E A B C D E A B C D E A B C D E 26 7 2 8 2 9 2 A B C D E A B C D E A B C D E A B C D E n a t a k g n i T / n u h a T : 4 MataPelajaran: MATEMATIKTAMBAHAN . A J A H A S B B U A T A B 2 L I S N E P N A K A N U G P A I T N A K U T N E T -TIAPTANDAI TUHITAMDANMEMENUH IKESELURUHANRUANG. A N A M S I B A H A G G N I H N A K M A D A P -MANATANDAYANGANDAUBAH A W A J F U R U H T U K I G N E M H A W A B I D N A P A W A J N A K M A T I H A L I S PANYANGANDAPILIH A I S Y A L A M N A R A J A L E P N A I R E T N E M E K F I T K E J B O N A P A W A J S A T R E K k it s o n g a i D n a ij U 1 5 1 ₂ 5 3 5 4 5 5 5 A B C D E A B C D E A B C D E A B C D E A B C D E 6 5 7 5 8 5 9 5 0 6 A B C D E A B C D E A B C D E A B C D E A B C D E 46 7 4 8 4 9 4 0 5 A B C D E A B C D E A B C D E A B C D E A B C D E 1 4 1 ₂ 4 3 4 4 4 5 4 A B C D E A B C D E A B C D E A B C D E A B C D E 1 3 2 3 3 3 4 3 5 3 A B C D E A B C D E A B C D E A B C D E A B C D E 36 7 3 8 3 9 3 0 4 A B C D E A B C D E A B C D E A B C D E A B C D E 1 2 3 4 5 A B C D E A B C D E A B C D E A B C D E A B C D E 6 7 8 9 0 1 A B C D E A B C D E A B C D E A B C D E A B C D E 1 1 2 1 3 1 4 1 5 1 A B C D E A B C D E A B C D E A B C D E A B C D E k u r t s n o K No .Soalan Jumlah n a l a o S BGliaagnaga lDnjiSaowaalabn KegunaanGuru 3 K 5 K 6 K 7 K 8 K 1 - 6 7 - 0 2 1 2 - 3 3 4 3 - 0 4 1 4 - 5 4 6 4 1 3 1 7 5 1 9 2 3 4 5 6 7 8 : r a j a l e P a m a N : h a l o k e S a m a N Modul: 4