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Mathematics for IGCSE & O level - Indices 1 (Section 1)

1
Which statement is correct?
Answer
A
D
2
Which of the following expressions is equivalent to (32 x 31)
Answer
(C)
33
3
Evaluate: 125-1/3
Answer
(B)
-1/5
4
Which of the following is equivalent to (22)3?
Answer
(B)
26
5
What is the result of 272/3?
Answer
(A)
3
6
Which is the simplified form of 2x3 * 3x2?
Answer
(B)
6x5
7
Which of the following statements are true?
Answer
A
C
D
8
Which expression is equal to 1/32?
Answer
(A)
3-2
9
Which calculation is equivalent to 25 ÷ 23?
Answer
(B)
22
10
Simplify: (52)2
Answer
(A)
54
11
What is the reciprocal of 23?
Answer
A
D
12
What is √n expressed in index form?
Answer
(B)
n1/2
13
What is the value of 2-4?
Answer
(C)
1/16
14
Which statement is true for am/an
Answer
(C)
am/an = am-n
15
Which expression is equivalent to x3 ÷ x?
Answer
(C)
x2
16
Which is the simplified form of xa * xb?
Answer
(A)
xa+b
17
If ax = 64, what could be the value of x if a=2?
Answer
(D)
6
18
What is 641/2?
Answer
(B)
8
19
Which of the following is equal to 5-3 * 54?
Answer
(C)
51
20
Simplify: 4-1
Answer
(C)
1/4
21
What does the expression a-1 represent?
Answer
(B)
1/a
22
Simplify: 75 / 75
Answer
(B)
1
23
Which of the following is equal to the cube root of 8?
Answer
(A)
2
24
What is the base in the expression 53?
Answer
(B)
5
25
What is x-3 equal to?
Answer
(B)
1/x3
26
What is the value of 16-1?
Answer
(B)
1/16
27
Which of the following represents the same value as 43?
Answer
(B)
4 * 4 * 4
28
Which expression is equivalent to (a2b3)2?
Answer
(B)
a4b6
29
What is the value of (1/9)-1/2?
Answer
(D)
3
30
What is the result of 81/3?
Answer
(A)
2
31
Simplify: (a-1)2
Answer
(B)
a-2
32
Evaluate 36-1/2
Answer
(B)
-1/6
33
Which of the following is equal to 161/2?
Answer
(B)
4
34
What is the simplified form of a3 * a2?
Answer
(B)
a5
35
What is 1/4 expressed as a power of 2?
Answer
(B)
2-2
36
Simplify: a-2 / a-5
Answer
(B)
a3
37
Express 6 x 6 x 6 x 6 x 6 using index notation.
Answer
(C)
65
38
What is 271/3?
Answer
(A)
3
39
Which of the following is equal to the square root of x4?
Answer
(A)
x2
40
Simplify: (3x2)3
Answer
(D)
27x6
41
Simplify: (a4)3
Answer
(B)
a12
42
What is the result of 161/4?
Answer
(B)
4
43
Which expression is equivalent to 50?
Answer
(B)
1
44
Express 5 x 5 x 5 using index notation.
Answer
(C)
53
45
Which of the following is equivalent to a2 * a0?
Answer
(A)
a2
46
Simplify: √16
Answer
(B)
4
47
Which operation is used to simplify xm * xn?
Answer
(A)
Add the exponents
48
Simplify: (32)3
Answer
(D)
39
49
Simplify: x7 / x3
Answer
(A)
x4
50
Which of the following is equivalent to 82/3?
Answer
(B)
4