eVidyarthi

Main Menu
  • eVidyarthi
  • School
    • Class 6th
      • Maths Class 6
      • Science Class 6
      • Hindi Class 6
      • Vyakaran
      • English Class 6
      • English Grammar
      • Sanskrit Class 6
      • Geography Class 6
      • Civics Class 6
      • History Class 6
    • Class 7th
      • Maths Class 7
      • Science Class 7
      • Hindi Class 7
      • Vyakaran
      • English Class 7
      • English Grammar
      • Sanskrit Class 7
      • Geography Class 7
      • Civics Class 7
      • History Class 7
    • Class 8th
      • Maths Class 8
      • Science Class 8
      • Hindi Class 8
      • Vyakaran
      • English Class 8
      • English Grammar
      • Sanskrit Class 8
      • Geography Class 8
      • Civics Class 8
      • History Class 8
    • Class 9th
      • Maths Class 9
      • Science Class 9
      • Hindi Class 9
      • व्याकरण
      • English Class 9
      • English Grammar
      • Economics Class 9
      • Geography Class 9
      • Civics Class 9
      • History Class 9
      • Sanskrit Class 9
    • Class 10th
      • Maths Class 10
      • Science Class 10
      • Hindi Class 10
      • Vyakaran
      • English Class 10
      • English Grammar
      • Economics Class 10
      • Geography Class 10
      • Civics Class 10
      • History Class 10
      • Sanskrit Class 10
    • Class 11
      • Maths Class 11
      • English Class 11
      • Hindi Class 11
      • Accounts Class 11
      • Physics Class 11
      • Chemistry Class 11
      • Biology Class 11
      • Economics Class 11
      • Geography Class 11
      • History Class 11
      • Political Science Class 11
      • Sociology Class 11
    • Class 12
      • Maths Class 12
      • English Class 12
      • Hindi Class 12
      • Accounts Class 12
      • Physics Class 12
      • Chemistry Class 12
      • Biology Class 12
      • Economics Class 12
      • Geography Class 12
      • History Class 12
      • Political Science Class 12
      • Sociology Class 12
    • Close
  • School – हिन्दी माध्यम
    • Class 6
      • Hindi Class 6
      • English Grammar
      • Vyakaran
      • Ganit Class 6
      • Vigyan Class 6
      • Samajik Vigyan Class 6
      • English Class 6
      • संस्कृत Class 6
    • Class 7
      • Hindi Class 7
      • English Grammar
      • Vyakaran
      • गणित Class 7
      • विज्ञान Class 7
      • सामाजिक विज्ञान Class 7
      • English Class 7
      • Sanskrit Class 7
    • Class 8
      • Hindi Class 8
      • English Grammar
      • Vyakaran
      • गणित Class 8
      • विज्ञान Class 8
      • सामाजिक विज्ञान Class 8
      • English Class 8
      • Sanskrit Class 8
    • Class 9
      • Hindi Class 9
      • English Grammar
      • Vyakaran
      • गणित Class 9
      • विज्ञान Class 9
      • सामाजिक विज्ञान Class 9
      • English Class 9
      • Sanskrit Class 9
    • Class 10
      • Hindi Class 10
      • English Grammar
      • Vyakaran
      • गणित Class 10
      • विज्ञान Class 10
      • सामाजिक विज्ञान Class 10
      • English Class 10
      • Sanskrit Class 10
    • Class 11
      • गणित Class 11
      • English Class 11
      • Hindi Class 11
      • अर्थशास्त्र Class 11
      • भूगोल Class 11
      • इतिहास Class 11
      • राजनितिक विज्ञान
      • समाजशास्त्र Class 11
      • भौतिक विज्ञान Class 11
      • रसायन विज्ञान Class 11
      • जीव विज्ञान Class 11
    • Class 12
      • गणित Class 12
      • English Class 12
      • Hindi Class 12
      • अर्थशास्त्र Class 12
      • भूगोल Class 12
      • इतिहास Class 12
      • राजनितिक विज्ञान
      • समाजशास्त्र Class 12
      • भौतिक-विज्ञान Class 12
      • रसायन विज्ञान Class 12
      • जीव विज्ञान Class 12
    • Close
  • बिहार बोर्ड
    • Class 6
      • हिंदी Class 6
      • Vyakaran
      • English Grammar
      • गणित Class 6
      • विज्ञान Class 6
      • English Class 6
      • सामाजिक विज्ञान Class 6
      • Sanskrit Class 6
    • Class 7
      • हिंदी Class 7
      • Vyakaran
      • English Grammar
      • गणित Class 7
      • विज्ञान Class 7
      • English Class 7
      • सामाजिक विज्ञान Class 7
      • Sanskrit Class 7
    • Class 8
      • हिंदी Class 8
      • Vyakaran
      • English Grammar
      • गणित Class 8
      • विज्ञान Class 8
      • English Class 8
      • सामाजिक विज्ञान Class 8
      • Sanskrit Class 8
    • Class 9
      • हिंदी Class 9
      • Vyakaran
      • English Grammar
      • गणित Class 9
      • विज्ञान Class 9
      • English Class 9
      • सामाजिक विज्ञान Class 9
      • Sanskrit Class 9
    • Class 10
      • हिंदी Class 10
      • Vyakaran
      • English Grammar
      • गणित Class 10
      • विज्ञान Class 10
      • English Class 10
      • सामाजिक विज्ञान Class 10
      • Sanskrit Class 10
    • Close
  • एमपी बोर्ड
    • Class 6
      • हिंदी Class 6
      • Vyakaran
      • English Grammar
      • English Class 6
      • संस्कृत Class 6
      • गणित Class 6
      • विज्ञान Class 6
      • सामाजिक विज्ञान Class 6
    • Class 7
      • हिंदी Class 7
      • Vyakaran
      • English Grammar
      • English Class 7
      • संस्कृत Class 7
      • गणित Class 7
      • विज्ञान Class 7
      • सामाजिक विज्ञान Class 7
    • Class 8
      • हिंदी Class 8
      • Vyakaran
      • English Grammar
      • English Class 8
      • संस्कृत Class 8
      • गणित Class 8
      • विज्ञान Class 8
      • सामाजिक विज्ञान Class 8
    • Class 9
      • हिंदी Class 9
      • Vyakaran
      • English Grammar
      • English Class 9
      • गणित Class 9
      • संस्कृत Class 9
      • विज्ञान Class 9
      • सामाजिक विज्ञान Class 9
    • Class 10
      • हिंदी Class 10
      • Vyakaran
      • English Grammar
      • English Class 10
      • गणित Class 10
      • संस्कृत Class 10
      • विज्ञान Class 10
      • सामाजिक विज्ञान Class 10
    • Close
  • English
    • Basic English Grammar
    • Basic English Speaking
    • English Vocabulary
    • English Idioms & Phrases
    • Personality Enhancement
    • Interview Skills
    • Close
  • Softwares
    • Microsoft Word
    • PhotoShop
    • Excel
    • Illustrator
    • PowerPoint
    • Close
Class 8th Maths || Menu
  • MCQ Maths Class 8
  • Notes Maths Class 8
  • NCERT Solutions
  • Important Formulas Maths Class 8
  • Sample Paper 1 – Maths Class 8
  • Sample Paper 2 – Maths Class 8
  • Book Maths Class 8
  • Previous Year Papers Maths Class 8
  • Rational Numbers
    • Ex 1.1
    • Ex 1.2
    • MCQs
    • Close
  • Linear Equations in One Variable
    • Ex 2.1
    • Ex 2.2
    • Ex 2.3
    • Ex 2.4
    • Ex 2.5
    • Ex 2.6
    • MCQs
    • Close
  • Understanding Quadrilaterals
    • Ex 3.1
    • Ex 3.2
    • Ex 3.3
    • Ex 3.4
    • MCQs
    • Close
  • Practical Geometry
    • Ex 4.1
    • Ex 4.2
    • Ex 4.3
    • Ex 4.4
    • Ex 4.5
    • MCQs
    • Close
  • Data Handling
    • Ex 5.1
    • Ex 5.2
    • Ex 5.3
    • MCQs
    • Close
  • Squares & Square Root
    • Ex 6.1
    • Ex 6.2
    • Ex 6.3
    • Ex 6.4
    • MCQs
    • Close
  • Cubes and Cube Roots
    • Ex 7.1
    • Ex 7.2
    • MCQs
    • Close
  • Comparing Quantities
    • Ex 8.1
    • Ex 8.2
    • Ex 8.3
    • MCQs
    • Close
  • Algebraic Expressions and Identities
    • Ex 9.1
    • Ex 9.2
    • Ex 9.3
    • Ex 9.5
    • MCQs
    • Close
  • Visualising Solid Shapes
    • Ex 10.1
    • Ex 10.3
    • MCQs
    • Close
  • Mensuration
    • Ex 11.1
    • Ex 11.2
    • Ex 11.3
    • Ex 11.4
    • MCQs
    • Close
  • Exponents and Powers
    • Ex 12.1
    • Ex 12.2
    • MCQs
    • Close
  • Direct and Inverse Proportions
    • Ex 13.1
    • Ex 13.2
    • MCQs
    • Close
  • Factorisation
    • Ex 14.1
    • Ex 14.2
    • Ex 14.3
    • Ex 14.4
    • MCQs
    • Close
  • Introduction to Graphs
    • Ex 15.1
    • Ex 15.2
    • Ex 15.3
    • MCQs
    • Close
  • Playing with Numbers
    • Ex 16.1
    • Ex 16.2
    • MCQs
    • Close
Share on WhatsApp

Class 8 Ex. 6.1 Maths NCERT Solutions

Ads

Solutions For All Chapters Maths Class 8

NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Ex 6.1

Ex 6.1 Class 8 Maths Question 1.
What will be the unit digit of the squares of the following numbers?

(i) 81

(ii) 272

(iii) 799

(iv) 3853

(v) 1234

(vi) 20387

(vii) 52698

(viii) 99880

(ix) 12796

(x) 55555

Solution:

(i) Unit digit of 81² = 1
(ii) Unit digit of 272² = 4
(iii) Unit digit of 799² = 1
(iv) Unit digit of 3853² = 9
(v) Unit digit of 1234² = 6
(vi) Unit digit of 26387² = 9
(vii) Unit digit of 52698² = 4
(viii) Unit digit of 99880² = 0
(ix) Unit digit of 12796² = 6
(x) Unit digit of 55555² = 5

Ex 6.1 Class 8 Maths Question 2.
The following numbers are not perfect squares. Give reason.

(i) 1057

(ii) 23453

(iii) 7928

(iv) 222222

(v) 64000

(vi) 89722

(vii) 222000

(viii) 505050

Solution:

(i) 1057 ends with 7 at unit place. So it is not a perfect square number.
(ii) 23453 ends with 3 at unit place. So it is not a perfect square number.
(iii) 7928 ends with 8 at unit place. So it is not a perfect square number.
(iv) 222222 ends with 2 at unit place. So it is not a perfect square number.
(v) 64000 ends with 3 zeros. So it cannot a perfect square number.
(vi) 89722 ends with 2 at unit place. So it is not a perfect square number.
(vii) 22000 ends with 3 zeros. So it can not be a perfect square number.
(viii) 505050 ends with 1 zero. So it is not a perfect square number.

Ex 6.1 Class 8 Maths Question 3.
The squares of which of the following would be odd numbers?

(i) 431

(ii) 2826

(iii) 7779

(iv) 82004

Solution:

(i) 431² is an odd number.
(ii) 2826² is an even number.
(iii) 7779² is an odd number.
(iv) 82004² is an even number.

Ex 6.1 Class 8 Maths Question 4.
Observe the following pattern and find the missing digits.

11² = 121

101² = 10201

1001² = 1002001

100001² = 1…2…1

10000001² = ………

Solution:

According to the above pattern, we have
100001² = 10000200001
10000001² = 100000020000001

Ex 6.1 Class 8 Maths Question 5.
Observe the following pattern and supply the missing numbers.

11² = 121

101² = 10201

10101² = 102030201

1010101² = ……….

……….² = 10203040504030201

Solution:

According to the above pattern, we have
1010101² = 1020304030201
101010101² = 10203040504030201

Ex 6.1 Class 8 Maths Question 6.
Using the given pattern, find the missing numbers.

1² + 2² + 2² = 3²

2² + 3² + 6² = 7²

3² + 4² + 12² = 13²

4² + 5² + ….² = 21²

5² + ….² + 30² = 31²

6² + 7² + …..² = ……²

Solution:

According to the given pattern, we have
4² + 5² + 20² = 21²
5² + 6² + 30² = 31²
6² + 7² + 42² = 43²

Ex 6.1 Class 8 Maths Question 7.
Without adding, find the sum.

(i) 1 + 3 + 5 + 7 + 9

(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Solution:

We know that the sum of n odd numbers = n2
(i) 1 + 3 + 5 + 7 + 9 = (5)² = 25 [∵ n = 5]
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = (10)² = 100 [∵ n = 10]
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 = (12)² = 144 [∵ n = 12]

Ex 6.1 Class 8 Maths Question 8.

(i) Express 49 as the sum of 7 odd numbers.

(ii) Express 121 as the sum of 11 odd numbers.

Solution:

(i) 49 = 1 + 3 + 5 + 7 + 9 + 11 + 13 (n = 7)
(ii) 121 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 (n = 11)

Ex 6.1 Class 8 Maths Question 9.
How many numbers lie between squares of the following numbers?

(i) 12 and 13

(ii) 25 and 26

(iii) 99 and 100.

Solution:

(i) We know that numbers between n² and (n + 1)² = 2n
Numbers between 12² and 13² = (2n) = 2 × 12 = 24
(ii) Numbers between 25² and 26² = 2 × 25 = 50 (∵ n = 25)
(iii) Numbers between 99² and 100² = 2 × 99 = 198 (∵ n = 99)

Ads

Android App

eVidyarthi

Evidyarthi on Facebook

Like us on Facebook

YouTube Channels

Social Science Class 6
Social Science Class 8
Learn English
English Through हिन्दी
Job Interview Skills
English Grammar
हिंदी व्याकरण - Vyakaran
Mathematics Class 6th
Social Science Class 6
Science Class 6th
हिन्दी Class 6th
Mathematics Class 7th
Science Class 7th
हिन्दी Class 7th
Mathematics Class 8th
Social Science Class 8
Social Science Class 8
Science Class 8th
हिन्दी Class 8th
Mathematics Class 9th
English Class 9th
Science Class 9th
Mathematics Class 10th
English Class 10th
Mathematics Class XI
Chemistry Class XI
Accountancy Class 11th
Accountancy Class 12th
Mathematics Class 12th
Microsoft Word
Microsoft Excel
Microsoft PowerPoint
Adobe PhotoShop
Adobe Illustrator
Learn German
Learn French
IIT JEE
Privacy Policies, Contact Us
Copyright © 2022 eVidyarthi and its licensors. All Rights Reserved.