naskah murid modul 1 number bases

12
PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPP MATHEMATIC FORM 5 MODUL 1 PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPP NUMBER BASES KEMENTERIAN PELAJARAN MALAYSIA

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Page 1: Naskah Murid Modul 1 Number Bases

PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPP

MATHEMATIC

FORM 5

MODUL 1

PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPP

NUMBER BASES

KEMENTERIAN PELAJARAN MALAYSIA

Page 2: Naskah Murid Modul 1 Number Bases

2

NUMBER BASES Arahan :

1. Modul ini mengandungi tiga puluh lima soalan. 2. Modul merangkumi tujuh konstruk yang diuji K1 - Memahami soalan dalam bahasa Inggeris

K3 - Memahami istilah 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 mengisikan 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. Soalan 31 hingga 35 akan dibaca oleh guru. Murid perlu mendengar dengan

teliti dan menjawab di dalam kertas jawapan objektif.

7. Jawab semua soalan.

Modul ini mengandungi 12 halaman bercetak

D A B C E

Page 3: Naskah Murid Modul 1 Number Bases

3

Answer all questions given. 1. The number 110102 is a number in base two. The number 4215 is in base

A two B five C eight D ten

2. A number in base five uses any of these digits 0, 1, 2, 3 and 4. Which of the following is a possible number in base five?

A 5 B 24 C 25 D 54

3. What are the three consecutive numbers after 8?

A 5, 6, 7 B 8, 9, 10 C 8, 10, 12 D 9, 10, 11

4. 368 denotes a number written in base eight. Which of the following denotes a number in base five?

A 15 B 51 C 245 D 358

Page 4: Naskah Murid Modul 1 Number Bases

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5. The value of a digit of a number is the product of the digit and its place value.

Place value

125

25

5

1

Digit

1

2

3

4

` The value of the digit 2 in the number 12345 is the product of

A 1 and 125 B 2 and 25 C 3 and 5 D 1 and 4

6. Express 1012 in expanded notation.

A 1 x 0 + 1 B =2 + 21 + 20 C 1 x 2 + 0 x 2 + 1 x 2 D 1 x 22 + 0 x 21 + 1 x 20

7. The process below is used to convert 73 to base five.

P

The numbers 2, 4, and 3 in group P are known as

A divisors B quotients C dividends D remainders

5 73 5 14…3 5 2…4

0…2

Page 5: Naskah Murid Modul 1 Number Bases

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8. Which of the following is true about the number 2435 ?

A 2 is the coefficient B 3 is a multiple C 4 is a factor D 5 is the base

9. ‘x is less than 10012’ can be written as

A x < 10012 B x ≤ 10012 C x > 10012 D x ≥ 10012

10. Which of the following is false?

Number Type of number

A 1012 Binary B 47.5 Decimal C 246 Even D 121 Prime

11. The place value for the underlined digit in 1368 is

A 80 B 81 C 82 D 83

12. 11011 is a number expressed in base

A two B five C eight D ten

Page 6: Naskah Murid Modul 1 Number Bases

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13. What is the largest digit used to form a number in base five? A 2 B 3 C 4 D 5

14. What are the digits that can be used to form a number in base eight?

A 0, 1, 2, 3 and 4 B 0, 1, 2, 3, 4, 5, 6 and 7 C 0, 1, 2, 3, 4, 5, 6, 7 and 8 D 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

15. 10201x is a number in a certain base. Which of the following is not a possible value of x?

A two B five C eight D ten

16. Given 42015 = (4 x 53) + (2 x 5m) + 1, what is the value of m?

A 2 B 3 C 4 D 5

17. Express (1 x 23) + (0 x 22) + (1 x 21) + (1 x 20) as a number in base two.

A 10002 B 10112 C 11012 D 11112

Page 7: Naskah Murid Modul 1 Number Bases

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18. The place value of the digits in 1235 is shown in the table.

` What is the value of the digit 2?

A 1 x 51 B 1 x 52 C 2 x 51 D 2 x 52

19. 1 × 25 + 1× 22 =

A 112 B 10012 C 100102 D 1001002

20. Which of the following is the correct step to find the value of m in 112 + m2 = 11012?

A 11012 - 112 B 11012 + 112 C 112 - 11012 D 112 + 11012

21. Given that 101102 < x10 < 111102 , a possible value of x is

A 19 B 21 C 25 D 32

Place

value

52

51

50

Digit

1

2

3

Page 8: Naskah Murid Modul 1 Number Bases

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22. Convert 4025 to base eight.

A 1028 B 1468 C 1128 D 1588

23. Convert 21 to base five.

A 415 B 215 C 145 D 115

24. 101112 is equivalent to

A 238 B 278 C 468 D 628

25. 100102 - 11112 =

A 10112 B 1112 C 1012 D 112

26. Based on the table, make three true statements.

x 1011012 y 45

I. x has six digits. II. The largest digit of x is 2. III. y is a number in base ten. IV. x and y have the same value. A I, II, III B I, II , IV C I, III, IV D II, III, IV

Page 9: Naskah Murid Modul 1 Number Bases

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27. Describe the following step that is used to convert 4325 to base ten.

4325 = (4 x 52) + (3 x 51) + (2 x 50)

A Expand the number according to the place value. B Divide into groups of three digits from right. C Simplify the expressions.

28. How do you convert 53 to a number in base two?

A Perform repeated division by 2. B Perform repeated division by 10. C Expand the number according to its place value.

29. What are the steps to convert a number in base five to base ten?

I Perform repeated division. II Write the number in expanded notation. III Simplify the expanded notation. A I and II B I and III C II and III D I, II and III

30. 4125 is read as

A four thousand and twelve base five. B four hundred and twelve base five. C four one two base five. D four one two five.

Page 10: Naskah Murid Modul 1 Number Bases

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From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer. 31.

A 5 B 15 C 245 D 548

32.

A 7 B 11 C 22 D 35

33.

A 1 + 0 + 1 B 1 x 0 x 1 C (1 x 22) + (0 x 21) + (1 x 20) D (1 x 22) x (0 x 21) x (1 x 20)

34.

A 10002 B 10012 C 10102 D 11002

Page 11: Naskah Murid Modul 1 Number Bases

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35.

A 628 B 508 C 408 D 138

END OF QUESTION PAPER

Page 12: Naskah Murid Modul 1 Number Bases

Tahun/ Tingkatan : 5 Mata Pelajaran: MATHEMATIC

Nama Pelajar:

Nama Sekolah: Modul:

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

56 57

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

46 47

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

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

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