{"id":4687,"date":"2016-05-17T11:49:00","date_gmt":"2016-05-17T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-8-maths-exercise-6-1\/"},"modified":"2018-06-26T14:53:25","modified_gmt":"2018-06-26T09:23:25","slug":"ncert-solutions-for-class-8-maths-exercise-6-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Exercise 6.1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#NCERT_Solutions_for_Class_8_Maths_Squares_and_Square_Roots\" >NCERT Solutions for Class 8 Maths\u00a0Squares and Square Roots<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#Class_%E2%80%93VIII_Mathematics_Ex_61\" >Class \u2013VIII Mathematics (Ex. 6.1)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#NCERT_SOLUTION\" >NCERT SOLUTION<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#1_What_will_be_the_unit_digit_of_the_squares_of_the_following_numbers\" >1. What will be the unit digit of the squares of the following numbers:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#2_The_following_numbers_are_obviously_not_perfect_squares_Give_reasons\" >2. The following numbers are obviously not perfect squares. Give reasons.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#3_The_squares_of_which_of_the_following_would_be_odd_number\" >3. The squares of which of the following would be odd number:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#4_Observe_the_following_pattern_and_find_the_missing_digits\" >4. Observe the following pattern and find the missing digits:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#5_Observe_the_following_pattern_and_supply_the_missing_numbers\" >5. Observe the following pattern and supply the missing numbers:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#6_Using_the_given_pattern_find_the_missing_numbers\" >6. Using the given pattern, find the missing numbers:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#7_Without_adding_find_the_sum\" >7. Without adding, find the sum:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#8_i_Express_49_as_the_sum_of_7_odd_numbers\" >8. (i) Express 49 as the sum of 7 odd numbers.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#9_How_many_numbers_lie_between_squares_of_the_following_numbers\" >9. How many numbers lie between squares of the following numbers:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#NCERT_Solutions_for_Class_8_Maths_Exercise_61\" >NCERT Solutions for Class 8 Maths Exercise 6.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/#CBSE_app_for_Class_8\" >CBSE app for Class 8<\/a><\/li><\/ul><\/nav><\/div>\n<div>\n<p>NCERT Solutions for Class 8 Maths Exercise 6.1 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 8 Maths\u00a0Squares and Square Roots <a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics-squares-and-square-roots\/1455\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/08_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 8 Maths Exercise 6.1\" width=\"157\" height=\"197\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Squares_and_Square_Roots\"><\/span>NCERT Solutions for Class 8 Maths\u00a0Squares and Square Roots<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VIII_Mathematics_Ex_61\"><\/span><strong>Class \u2013VIII Mathematics (Ex. 6.1)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_SOLUTION\"><\/span><strong>NCERT SOLUTION<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"1_What_will_be_the_unit_digit_of_the_squares_of_the_following_numbers\"><\/span><strong>1. What will be the unit digit of the squares of the following numbers:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 81\u00a0 <\/strong><\/p>\n<p><strong>(ii) 272\u00a0 <\/strong><\/p>\n<p><strong>(iii) 799\u00a0 <\/strong><\/p>\n<p><strong>(iv) 3853\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(v) 1234\u00a0 <\/strong><\/p>\n<p><strong>(vi) 26387\u00a0 <\/strong><\/p>\n<p><strong>(vii) 52698\u00a0 <\/strong><\/p>\n<p><strong>(viii) 99880\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(ix) 12796\u00a0 <\/strong><\/p>\n<p><strong>(x) 55555<\/strong><\/p>\n<p><strong>Ans. (i)<\/strong> The number 81 contains its unit\u2019s place digit 1. So, square of 1 is 1.<\/p>\n<p>Hence, unit\u2019s digit of square of 81 is 1.<\/p>\n<p><strong>(ii)<\/strong> The number 272 contains its unit\u2019s place digit 2. So, square of 2 is 4.<\/p>\n<p>Hence, unit\u2019s digit of square of 272 is 4.<\/p>\n<p><strong>(iii)<\/strong> The number 799 contains its unit\u2019s place digit 9. So, square of 9 is 81.<\/p>\n<p>Hence, unit\u2019s digit of square of 799 is 1.<\/p>\n<p><strong>(iv)<\/strong> The number 3853 contains its unit\u2019s place digit 3. So, square of 3 is 9.<\/p>\n<p>Hence, unit\u2019s digit of square of 3853 is 9.<\/p>\n<p><strong>(v)<\/strong> The number 1234 contains its unit\u2019s place digit 4. So, square of 4 is 16.<\/p>\n<p>Hence, unit\u2019s digit of square of 1234 is 6.<\/p>\n<p><strong>(vi)<\/strong> The number 26387 contains its unit\u2019s place digit 7. So, square of 7 is 49.<\/p>\n<p>Hence, unit\u2019s digit of square of 26387 is 9.<\/p>\n<p><strong>(vii)<\/strong> The number 52698 contains its unit\u2019s place digit 8. So, square of 8 is 64.<\/p>\n<p>Hence, unit\u2019s digit of square of 52698 is 4.<\/p>\n<p><strong>(viii)<\/strong> The number 99880 contains its unit\u2019s place digit 0. So, square of 0 is 0.<\/p>\n<p>Hence, unit\u2019s digit of square of 99880 is 0.<\/p>\n<p><strong>(ix)<\/strong> The number 12796 contains its unit\u2019s place digit 6. So, square of 6 is 36.<\/p>\n<p>Hence, unit\u2019s digit of square of 12796 is 6.<\/p>\n<p><strong>(x)<\/strong> The number 55555 contains its unit\u2019s place digit 5. So, square of 5 is 25.<\/p>\n<p>Hence, unit\u2019s digit of square of 55555 is 5.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"2_The_following_numbers_are_obviously_not_perfect_squares_Give_reasons\"><\/span><strong>2. The following numbers are obviously not perfect squares. Give reasons.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 1057\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(ii) 23453\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(iii) 7928\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(iv) 222222\u00a0 <\/strong><\/p>\n<p><strong>(v) 64000\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(vi) 89722 <\/strong><\/p>\n<p><strong>(vii) 222000\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(viii) 505050<\/strong><\/p>\n<p><strong>Ans. (i)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 1, 4, 5, 6, 9 and even numbers of 0.<\/p>\n<p>Therefore 1057 is not a perfect square because its unit\u2019s place digit is 7.<\/p>\n<p><strong>(ii)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 23453 is not a perfect square because its unit\u2019s place digit is 3.<\/p>\n<p><strong>(iii)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 7928 is not a perfect square because its unit\u2019s place digit is 8.<\/p>\n<p><strong>(iv)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 222222 is not a perfect square because its unit\u2019s place digit is 2.<\/p>\n<p><strong>(v)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 64000 is not a perfect square because its unit\u2019s place digit is single 0.<\/p>\n<p><strong>(vi)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 89722 is not a perfect square because its unit\u2019s place digit is 2.<\/p>\n<p><strong>(vii)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 222000 is not a perfect square because its unit\u2019s place digit is triple 0.<\/p>\n<p><strong>(viii)<\/strong> Since, perfect square numbers contain their unit\u2019s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 505050 is not a perfect square because its unit\u2019s place digit is 0.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"3_The_squares_of_which_of_the_following_would_be_odd_number\"><\/span><strong>3. The squares of which of the following would be odd number: <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<\/div>\n<div>\n<p><strong>(i) 431 <\/strong><\/p>\n<p><strong>(ii) 2826<\/strong><\/p>\n<p><strong>(iii) 7779<\/strong><\/p>\n<p><strong>(iv) 82004<\/strong><\/p>\n<p><strong>Ans<\/strong>. <strong>(i)<\/strong> 431 \u2013 Unit\u2019s digit of given number is 1 and square of 1 is 1. Therefore, square of 431 would be an odd number.<\/p>\n<p><strong>(ii)<\/strong> 2826 \u2013 Unit\u2019s digit of given number is 6 and square of 6 is 36. Therefore, square of 2826 would not be an odd number.<\/p>\n<p><strong>(iii)<\/strong> 7779 \u2013 Unit\u2019s digit of given number is 9 and square of 9 is 81. Therefore, square of 7779 would be an odd number.<\/p>\n<p><strong>(iv)<\/strong> 82004 \u2013 Unit\u2019s digit of given number is 4 and square of 4 is 16. Therefore, square of 82004 would not be an odd number.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"4_Observe_the_following_pattern_and_find_the_missing_digits\"><\/span><strong>4. Observe the following pattern and find the missing digits:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<\/div>\n<p><strong><img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image001.png\" \/>\u00a0= 121<\/strong><\/p>\n<div>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image002.png\" \/>\u00a0= 10201<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image003.png\" \/>\u00a0= 1002001<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image004.png\" \/>\u00a0= 1\u2026\u2026.2\u2026\u2026.1<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image005.png\" \/>\u00a0= 1\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026<\/strong><\/p>\n<p><strong>Ans. <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image001.png\" \/><\/strong>\u00a0= 121<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image002.png\" \/>\u00a0= 10201<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image003.png\" \/>= 1002001<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image004.png\" \/>= 10000200001<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image005.png\" \/>= 100000020000001<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"5_Observe_the_following_pattern_and_supply_the_missing_numbers\"><\/span><strong>5. Observe the following pattern and supply the missing numbers:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image001.png\" \/>\u00a0= 121<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image002.png\" \/>\u00a0= 10201<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image006.png\" \/>\u00a0= 102030201<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image007.png\" \/>\u00a0= \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026<\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 20px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image008.png\" \/>= 10203040504030201<\/strong><\/p>\n<p><strong>Ans. <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image001.png\" \/><\/strong>= 121<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image002.png\" \/>= 10201<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image006.png\" \/>= 102030201<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image007.png\" \/>= 1020304030201<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 79px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image009.png\" \/>\u00a0= 10203040504030201<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"6_Using_the_given_pattern_find_the_missing_numbers\"><\/span><strong>6. Using the given pattern, find the missing numbers:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image010.png\" \/><\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image011.png\" \/><\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 21px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image012.png\" \/><\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 24px; width: 129px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image013.png\" \/><\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 24px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image014.png\" \/><\/strong><\/p>\n<p><strong><img decoding=\"async\" style=\"height: 24px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image015.png\" \/><\/strong><\/p>\n<p><strong>Ans. <img decoding=\"async\" style=\"height: 21px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image010.png\" \/><\/strong><\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image011.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image012.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image016.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image017.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 139px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image018.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"7_Without_adding_find_the_sum\"><\/span><strong>7. Without adding, find the sum:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 1 + 3 + 5 + 7 + 9<\/strong><\/p>\n<p><strong>(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19<\/strong><\/p>\n<p><strong>(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23<\/strong><\/p>\n<p><strong>Ans. <\/strong>(i) Here, there are five odd numbers. Therefore square of 5 is 25.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image019.png\" \/>\u00a01 + 3 + 5 + 7 + 9 = <img decoding=\"async\" style=\"height: 21px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image020.png\" \/>\u00a0= 25<\/p>\n<p>(ii) Here, there are ten odd numbers. Therefore square of 10 is 100.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image019.png\" \/>\u00a01 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image021.png\" \/>\u00a0= 100<\/p>\n<p>(iii) Here, there are twelve odd numbers. Therefore square of 12 is 144.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image019.png\" \/>\u00a01 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 = <img decoding=\"async\" style=\"height: 20px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image022.png\" \/>\u00a0= 144<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"8_i_Express_49_as_the_sum_of_7_odd_numbers\"><\/span><strong>8. (i) Express 49 as the sum of 7 odd numbers.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(ii) Express 121 as the sum of 11 odd numbers.<\/strong><\/p>\n<p><strong>Ans. <\/strong>(i) 49 is the square of 7. Therefore it is the sum of 7 odd numbers.<\/p>\n<p>49 = 1 + 3 + 5 + 7 + 9 + 11 + 13<\/p>\n<p>(ii) 121 is the square of 11. Therefore it is the sum of 11 odd numbers<\/p>\n<p>121 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"9_How_many_numbers_lie_between_squares_of_the_following_numbers\"><\/span><strong>9. How many numbers lie between squares of the following numbers:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<\/div>\n<p><strong>(i) 12 and 13<\/strong><\/p>\n<p><strong>(ii) 25 and 26<\/strong><\/p>\n<p><strong>(iii) 99 and 100<\/strong><\/p>\n<p><strong>Ans. (i)<\/strong> Since, non-perfect square numbers between <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image023.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 29px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image024.png\" \/>\u00a0are <img decoding=\"async\" style=\"height: 19px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image025.png\" \/><\/p>\n<p>Here, <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image026.png\" \/>\u00a0= 12<\/p>\n<p>Therefore, non-perfect square numbers between 12 and 13 = <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image027.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 17px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image028.png\" \/>= 24<\/p>\n<p><strong>(ii)<\/strong> Since, non-perfect square numbers between <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image023.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 29px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image024.png\" \/>\u00a0are <img decoding=\"async\" style=\"height: 19px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image025.png\" \/><\/p>\n<p>Here, <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image026.png\" \/>\u00a0= 25<\/p>\n<p>Therefore, non-perfect square numbers between 25 and 26 = <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image027.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 18px; width: 42px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image029.png\" \/>= 50<\/p>\n<p><strong>(iii)<\/strong> Since, non-perfect square numbers between <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image023.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 29px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image024.png\" \/>\u00a0are <img decoding=\"async\" style=\"height: 19px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image025.png\" \/><\/p>\n<p>Here, <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image026.png\" \/>\u00a0= 99<\/p>\n<p>Therefore, non-perfect square numbers between 99 and 100 = <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image027.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 18px; width: 42px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_1\/image030.png\" \/>= 198<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Exercise_61\"><\/span>NCERT Solutions for Class 8 Maths Exercise 6.1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 8\u00a0Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8\u00a0Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_8\"><\/span>CBSE app for Class 8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 8 Social Science, Computer Science, Home Science,Hindi ,English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Exercise 6.1 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 &#8230; <a title=\"NCERT Solutions for Class 8 Maths Exercise 6.1\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-1\/\" aria-label=\"More on NCERT Solutions for Class 8 Maths Exercise 6.1\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1382,281],"tags":[283,1523,321,1485,216],"class_list":["post-4687","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-08","category-ncert-solutions","tag-cbse-study-material","tag-class-8","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Exercise 6.1 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 8 Maths Exercise 6.1 in PDF format for free download. 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