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Published on: 31/10/2025
Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test

1.
If you start from 36 = 729, and proceed as shown in the above finding 35, 34,33, ... , etc, what will be 30 = ?
2.
Find the value of:
(-7)4
3.
Find the value of:
64
4.
Find the value of:
73
5.
Write in the exponential form:
243
6.
Write in the exponential form:
64
7.
Identify the base and exponent of:
10010
8.
Identify the base and exponent of:
32
9.
Express the number 25730 in standard form.
10.
Express the following as a power of - 3: - 243
11.
Express the following as a power of - 3: 81
12.
Express each of the following as product of powers of their prime factors. 405
13.
Express each of the following as product of powers of their prime factors. 648
14.
Express the following in exponential form: 5 x 5 x 7 x 7 x 7
15.
Express the following in exponential form: b x b x b x b
1.
36=729
35=243
34=81
33=27
32=9
31=3
30=1
2.
2401
3.
1296
4.
343
5.
35
6.
26
7.
100;10
8.
3;2
9.
25730 = 2·573 x 10,000
= 2.573 x 104.
10.
(- 3)5
11.
(- 3)4
12.
We have, 405

= 3 x135 = 3 X3 X 45 = 3 x3 x3 x15
=3x3x3x3x5=34 x51
Hence, the number 405 can be expressed as 34 x 51,
which is the required form
13.
We have, 648

= 2 x324 = 2 x 2 x162
= 2 x 2 x 2 x81 = 2 x 2 x 2 x3 x 27
=2x2x2x3x3x9
= 2 x 2 x 2 x3 x3 x3 x3 = 23 x34
Hence, the number 648 can be expressed as 23 x34 ,
which is the required form.
14.
5 x 5 x 7 x 7 x 7 = 52 x 73 [since, 5 is multiplied 2 times and 7 is multiplied 3 times]
15.
b x b x b x b = b4 [since, b is multiplied 4 times]
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