module 5 indices pmr

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PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI MATHEMATICS FORM 3 MODULE 5 PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI INDICES MINISTRY OF EDUCATION MALAYSIA

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Page 1: Module 5 Indices PMR

1

PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

MATHEMATICS

FORM 3

MODULE 5

PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

INDICES

MINISTRY OF EDUCATION MALAYSIA

Page 2: Module 5 Indices PMR

2

MODULE 5: INDICES Arahan:

1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam

bahasa Inggeris.

2. Modul merangkumi tujuh konstruk yang diuji

K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami matematik matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian.

4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan

pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif.

Contoh:

Antara berikut, yang manakah haiwan?

A. Pokok B. Kambing C. Kereta D. Pen

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan

yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 11 halaman bercetak

D A B C E

Page 3: Module 5 Indices PMR

3

1 Seven to the power of four is equal to 7 × 7 × 7 × 7. What is five to the power of three?

A 3 × 5

B 3 × 3 × 3 × 3 × 3

C 5 × 5 × 5

D 7 × 7 × 7

2 In the number 52 , 2 is the base. What is the base in the number 68 ?

A 2

B 5

C 6

D 8

3 Six raised to the fifth power is written as 56 . Seven raised to the fourth power is written as

A 47

B 57

C 46

D 74

4 Given that 25 21

is equal to the square root of 25, what is 100 21

equal to?

A 100 cubed

B 100 squared

C Cube root of 100

D Square root of 100

Page 4: Module 5 Indices PMR

4

5 Two numbers, b to the power of m and b to the power of n, when multiplied is equal to b

to the power of m plus n. What is the product of 2 to the power of 4 and 2 to the power of 3?

A 2 4 + 3

B 2 4 – 3

C 4 3 + 2

D 4 3 – 2

6 Which of the following is a number with a fractional index ?

A 4 31

B 341

C 4 – 4

D 4 5

7 Express 5 4 in the form of repeated multiplication.

A 4 × 4 × 4 × 4

B 5 × 5 × 5 × 5

C 4 × 4 × 4 × 4 ×4

D 5 × 5 × 5 × 5 × 5

8 When a number is expressed in the form of a m , m is known as the

A index

B base

C factor

D root

Page 5: Module 5 Indices PMR

5

9 81 is written in the form of 3 4 . 3 is known as the ________.

A base

B factor

C index

D root

10 When a number is written as a n , the form a n is

A set notation

B index notation

C scientific notation

D expanded notation

11 Given that 52h × 163h = 1632 hhm ××× , what is the value of m ?

A 2

B 3

C 5

D 16

12 =×÷ 435 aaa

A a5 + 3 + 4

B a5 + 3 – 4

C a5 – 3 + 4

D a5 – ( 3 + 4)

Page 6: Module 5 Indices PMR

6

13 Which of the following is true about the number 106 ?

A 6 is the power.

B 6 is the index

C 10 is the base

D 10 is the index

14 n

m

aa

=

A nma −

B nma +

C nma ×

D nma ÷

15 nm

a =

A nma −

B n

m

aa

C n ma

D ( )nm a

16 Express 43

625 in the form of n ma

A 3 4625

B ( ) 43625

×

C 4 625

D 4 3625

Page 7: Module 5 Indices PMR

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17 ( ) 257

A 257 +

B 257 ×

C 257 −

D 257 ÷

18 Which of the following is equal to 8p ?

A ( )80p

B ( )62p

C 4p × 2p

D 4p × 4p

19 ( )73p ÷ 9−p =

A 9)(73 −−×p

B 9)(73 −+×p

C 9)(73 −÷×p

D 9)(73 −××p

20 Which of the following is equivalent to7

3

6

ba

?

A 3

76

ba ×

B 3

76

ba +

C 73

76

×

×

ba

D 73

76

+

+

ba

Page 8: Module 5 Indices PMR

8

21 Given that 35− k5× = 45 , find the value of k.

A 7

B 1

C – 1

D – 7

22 Simplify 424r 26 −÷ r . A 84 −r

B 24 −r

C 24r

D 64r

23 Evaluate 32

27 .

A 3

B 6

C 9

D 18

24 Simplify ( )392b

A 278b

B 128b

C 272b

D 122b

25 Simplify ( )34 43 × 63÷

A 36 43 ×

B 436 ×

C 32 43 ×

D 32 43 ×−

Page 9: Module 5 Indices PMR

9

All questions from number 26 to number 30 must be answered in words. 26 Make two true statements about 74− 27 Explain how to simplify 53 × 73 . 28 43 is read as

29 Explain how to calculate the value of 23

4 .

Page 10: Module 5 Indices PMR

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30 Explain how to simplify ( )nma . From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer. 31

A 103

B 310

C 103 ×

D 103 +

32

A 7

B 10

C 25

D 32

Page 11: Module 5 Indices PMR

11

33

A 2 B 4 C 8 D 12

34 A 46

B 66 C 126 D 166

35

A 5

B 4

C 41

D 51

END OF QUESTION PAPER

Page 12: Module 5 Indices PMR

16 17

18

19

20

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 22

23

24

25

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 27

28

29

30

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

Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK

GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH

SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

5152

53

54

55

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

5657

58

59

60

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

4647

48

49

50

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

4142

43

44

45

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

31 32

33

34

35

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 37

38

39

40

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

10

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

11 12

13

14

15

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

Konstruk No. Soalan Jumlah Soalan

Bilangan Soalan Gagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10

1-5

6-10

11-15

16-20

21-25

26-30

31-35

5

5

5

5

5

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 5