1. PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI
MATHEMATICS
FORM 3
MODULE 5
PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI
INDICES
MINISTRY OF EDUCATION MALAYSIA
1

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
A B C D E
5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan
yang disediakan oleh guru.
6. Jawab semua soalan.
Modul ini mengandungi 11 halaman bercetak
2

3. Seven to the power of four is equal to 7 × 7 × 7 × 7.
1
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
In the number 25 , 2 is the base.
2
What is the base in the number 8 6 ?
A2
B5
C6
D8
Six raised to the fifth power is written as 65 .
3
Seven raised to the fourth power is written as
74
A
75
B
64
C
47
D
1 1
2 2
4 Given that 25 is equal to the square root of 25, what is 100 equal to?
A 100 cubed
B 100 squared
C Cube root of 100
D Square root of 100
3

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 24+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 ?
1
A 43
1
B
43
C 4 –4
D 45
Express 5 4 in the form of repeated multiplication.
7
A 4×4×4×4
B 5×5×5×5
C 4 × 4 × 4 × 4 ×4
D 5×5×5×5×5
When a number is expressed in the form of a m , m is known as the
8
A index
B base
C factor
D root
4

5. 9 81 is written in the form of 3 4 .
3 is known as the ________.
A base
B factor
C index
D root
When a number is written as a n , the form a n is
10
A set notation
B index notation
C scientific notation
D expanded notation
Given that 2h 5 × 3h16 = 2 × 3 × h m × h16 , what is the value of m ?
11
A2
B3
C5
D 16
a5 ÷ a3 × a 4 =
12
A a5 + 3 + 4
B a5 + 3 – 4
C a5 – 3 + 4
D a5 – ( 3 + 4)
5

6. Which of the following is true about the number 610 ?
13
A 6 is the power.
B 6 is the index
C 10 is the base
D 10 is the index
am
14 =
an
a m −n
A
a m+n
B
a m× n
C
a m ÷n
D
m
n
15 =
a
a m −n
A
am
B
an
am
n
C
( a) n
m
D
3
am
n
Express 625 4 in the form of
16
3
625 4
A
( )
3× 4
625
B
4
C 625
625 3
4
D
6

7. (7 )5 2
17
75+2
A
7 5×2
B
75−2
C
7 5 ÷2
D
Which of the following is equal to p 8 ?
18
(p ) 08
A
(p ) 26
B
p4 × p2
C
p4 × p4
D
(p )37
÷ p −9 =
19
p 3 × 7 − ( −9)
A
p 3 × 7 + ( −9)
B
p 3 × 7 ÷ ( −9)
C
p 3 × 7 × ( −9)
D
7
 a6 
Which of the following is equivalent to  3  ?
20 b 

a6 × 7
A
b3
a6 + 7
B
b3
a6 × 7
C
b3 × 7
a6 + 7
D
b3 + 7
7

8. Given that 5 −3 × 5 k = 5 4 , find the value of k.
21
A7
B1
C –1
D –7
Simplify 24r 4 ÷ 6r −2 .
22
4 r −8
A
4 r −2
B
4r 2
C
4r 6
D
2
Evaluate 27 3 .
23
A3
B6
C9
D 18
() 3
Simplify 2b 9
24
A 8b 27
B 8b12
C 2b 27
D 2b12
( )
3
Simplify 3 4 × 4 ÷ 36
25
A 3 6 × 43
B 36 × 4
C 32 × 43
D 3 −2 × 4 3
8

9. All questions from number 26 to number 30 must be answered in words.
Make two true statements about 4 −7
26
Explain how to simplify 3 5 × 3 7 .
27
3 4 is read as
28
3
2
29 Explain how to calculate the value of 4 .
9

10. () n
Explain how to simplify a m .
30
From Question 31 – 35, the teacher reads the questions to the students. Students choose
the correct answer.
31
A 103
B 310
C 3 × 10
D 3 + 10
32
A7
B 10
C 25
D 32
10

11. 33
A2
B4
C8
D 12
34
64
A
66
B
612
C
616
D
35
A5
B4
1
C
4
1
D
5
END OF QUESTION PAPER
11

12. KEMENTERIAN PELAJARAN MALAYSIA
KERTAS JAWAPAN OBJEKTIF
Ujian Diagnostik
Nama Pelajar:
Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK
Modul: 5
Nama Sekolah:
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
A A A
B C D E B C D E B C D E
1 31 46
A A A
2 32 47
B C D E B C D E B C D E
A A A
B C D E B C D E B C D E
3 33 48
A A A
B C D E B C D E B C D E
4 34 49
A A A
B C D E B C D E B C D E
5 35 50
A A
B C D E B C D E
6 36 51
A B C D E
A A
7 37 52
B C D E B C D E
A B C D E
A A
B C D E B C D E
A
8 38 53
B C D E
A A
B C D E B C D E
A
9 39 54
B C D E
A A
B C D E B C D E
10 40 55
A B C D E
A A
B C D E B C D E
A 41 56
B C D E
11
A A
42 57
B C D E B C D E
A
12 B C D E
A A
B C D E B C D E
A 43 58
B C D E
13
A A
B C D E B C D E
A 44 59
B C D E
14
A A
B C D E B C D E
45 60
A B C D E
15
Jumlah Bilangan Soalan
Konstruk No. Soalan Kegunaan Guru
A B C D E
16
Soalan Gagal Dijawab
A
17 B C D E
A B C D E K1 1-5 5
1
18
A B C D E
19
K3 6-10 5
2
A B C D E
20
K5 11-15 5
3
A B C D E
21
K6 16-20 5
4
A
22 B C D E
A B C D E
23
K7 21-25 5
5
A B C D E
24
A B C D E
25 K8 26-30 5
6
K10 31-35 5
7
A B C D E
26
A
27 B C D E
8
A B C D E
28
A B C D E 9
29
A B C D E
30
10