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Published on: 30/10/2019
Term 2 Algebra
Download Tamil Nadu 7th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Simplify using power rule of exponents.
(26)2 x (24)7
2.
Simplify using Product Rule of exponents.
25 × 32 × 625 × 64
3.
Which is greater 34 or 43?
4.
Find the value of 23 + 32
5.
Find the value of
(−7)2
6.
Express each of the following numbers using exponential form.
3125
7.
Express the following in exponential form.
5 x 5 x 7 x 7 x 7
8.
Express the following in exponential form.
t x t
9.
Find the value of the following.
54
10.
Find the value of the following.
112
11.
If p(x) and q(x) are two expressions of degree 3, then the degree of p(x) + q(x) is
6
0
3
Undefined
12.
The degree of 6x7−7x3 + 4 is
7
3
6
4
13.
The unit digit of the numeric expression 1071 + 1072 + 1073 is
0
3
1
2
14.
The unit digit of (32 x 65)0 is
2
5
0
1
15.
a x a x a x a x a is equal to
a5
5a
5a
a + 5
16.
Find the unit digit of the large numbers:
912
17.
Find the unit digit of the large numbers:
6410
1.
(26)2 x (24)7 = 26 x 2 x 24 x 7 [since (am)n = amxn]
= 212 x 228
=212 + 28 = 240 [since am x an = am+n]
2.
25 x 32 x 625 x 64 = (5 x 5) x (2 x 2 x 2 x 2 x 2) x (5 x 5 x 5 x 5) x (2 x 2 x 2 x 2 x 2 x 2)
= 52 x 25 x 54 x 26
= (52 x 54 ) x (25 x 26 ) [grouping exponential numbers with the same base]
= 52+4 x 25+6 = 56 x 211
3.
34 = 3 x 3 x 3 x 3 = 81
43 = 4 x 4 x 4 = 64
81> 64 gives 34 > 43
Therefore, 34 is greater.
4.
23 + 32 = (2 x 2 x 2) + (3 × 3)
= 8 + 9 = 17
5.
(−7)2 = (−7) x (−7) = 49
6.
7.
5 x 5 x 7 x 7 x 7 - 51+1 x 71+1 +1
= 52 x 73
8.
t x t = t1 x t1 - t1+1 = t2
9.
5 x 5 x 5 x 5 = 625
10.
11 x 11 (expanded form)
= 121
11.
(c)
3
12.
(a)
7
13.
(a)
0
14.
(d)
1
15.
(a)
a5
16.
912
Unit digit of base 9 is 9 and power is 12 (even power).
Therefore, unit digit of 912 is 1.
17.
6410
Unit digit of base 64 is 4 and power is 10 (even power). Therefore, unit digit of 6410 is 6.
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Tamilnadu Stateboard 7th Standard Subjects
Tamilnadu Stateboard Standards