{"id":555,"date":"2022-08-17T02:49:20","date_gmt":"2022-08-17T02:49:20","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=555"},"modified":"2024-02-21T06:32:00","modified_gmt":"2024-02-21T06:32:00","slug":"ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-1\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 11 Algebra Ex 11.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 11 (Algebra)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 11 Algebra <\/strong>Exercise 11.1 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-11\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_11_Algebra\" style=\"color: #000000;\">Chapter 11: Algebra<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.5<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 11.1<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Find the rule which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) A pattern of letter T as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-567\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1A.png\" alt=\"\" width=\"20\" height=\"25\" \/>.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) A pattern of letter Z as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-575\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1B.png\" alt=\"\" width=\"22\" height=\"28\" \/>.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) A pattern of letter U as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-573\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1C.png\" alt=\"\" width=\"25\" height=\"29\" \/>. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) A pattern of letter V as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-574\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1D.png\" alt=\"\" width=\"26\" height=\"24\" \/>.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) A pattern of letter E as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-571\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1E.png\" alt=\"\" width=\"20\" height=\"24\" \/>.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(f) A pattern of letter S as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-572\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1F.png\" alt=\"\" width=\"22\" height=\"29\" \/>.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(g) A pattern of letter A as <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-570\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1G.png\" alt=\"\" width=\"23\" height=\"26\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-567\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1A.png\" alt=\"\" width=\"20\" height=\"25\" \/><br \/>\nFrom the figure we observe that two matchsticks are required to make a letter T. Hence, the pattern is 2n.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-575\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1B.png\" alt=\"\" width=\"22\" height=\"28\" \/><br \/>\n<\/strong>From the figure we observe that three matchsticks are required to make a letter Z. Hence, the pattern is 3n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-573\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1C.png\" alt=\"\" width=\"25\" height=\"29\" \/><br \/>\n<\/strong>From the figure we observe that three matchsticks are required to make a letter U. Hence, the pattern is 3n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-574\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1D.png\" alt=\"\" width=\"26\" height=\"24\" \/><br \/>\n<\/strong>From the figure we observe that two matchsticks are required to make a letter V. Hence, the pattern is 2n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-571\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1E.png\" alt=\"\" width=\"22\" height=\"28\" \/><br \/>\n<\/strong>From the figure we observe that 5 matchsticks are required to make a letter E. Hence, the pattern is 5n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-572\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1F.png\" alt=\"\" width=\"22\" height=\"29\" \/><br \/>\n<\/strong>From the figure we observe that 5 matchsticks are required to make a letter S. Hence, the pattern is 5n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-570\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q1G.png\" alt=\"\" width=\"23\" height=\"26\" \/><br \/>\n<\/strong>From the figure we observe that 6 matchsticks are required to make a letter A. Hence, the pattern is 6n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>2. We already know the rule for the pattern of letters L, C and F. Some of the letters from Q.1 (given above) give us the same rule as that given by L. Which are these? Why does this happen?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">We know that T require only two matchsticks. So, the pattern for letter T is 2n. Among all the letters given in question 1, only T and V are the letters which require two matchsticks. Hence, (a) and (d).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>3. Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Let n be the number of rows<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of cadets in a row = 5<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Total number of cadets = number of cadets in a row \u00d7 number of rows <\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 5n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>4. If there are 50 mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use b for the number of boxes.)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Let b be the number of boxes<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of mangoes in a box = 50<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Total number of mangoes = number of mangoes in a box \u00d7 number of boxes <\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 50b<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>5. The teacher distributes 5 pencils per students. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Let s be the number of students<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Pencils given to each student = 5<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Total number of pencils = number of pencils given to each student \u00d7 number of students<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 5s<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>6. A bird flies 1 kilometer in one minute. Can you express the distance covered by the birds in terms of its flying time in minutes? (Use t for flying time in minutes.)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Let t minutes be the flying times<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Distance covered in one minute = 1 km<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Distance covered in t minutes = Distance covered in one minute \u00d7 Flying time<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 1 \u00d7 t<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= t km<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>7. Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots) with chalk powder. She has 9 dots in a row. How many dots will her Rangoli have for r rows? How many dots are there if there are 8 rows? If there are 10 rows?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of dots in a row = 9<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of rows = r<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Total number of dots in r rows = Number of dots in a row \u00d7 number of rows<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 9r<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of dots in 8 rows = 8 \u00d7 9<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 72<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of dots in 10 rows = 10 \u00d7 9<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 90<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>8. Leela is Radha\u2019s younger sister. Leela is 4 years younger than Radha. Can you write Leela\u2019s age in terms of Radha\u2019s age? Take Radha\u2019s age to be x years.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Let Radha\u2019s age be x years<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Leela\u2019s age = 4 years younger than Radha<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= (x \u2013 4) years<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>9. Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of laddus mother gave = l<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Remaining laddus = 5<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Total number of laddus = number of laddus given away by mother + number of laddus remaining<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= (l + 5) laddus<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>10. Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of oranges in a small box = x<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of oranges in two small boxes = 2x<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of oranges remained = 10<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Number of oranges in large box = number of oranges in two small boxes + number of oranges remained<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 2x + 10<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>11. <\/strong>(a) Look at the following matchstick pattern of squares (Fig 11.6). The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-569\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"765\" height=\"123\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11A.png 765w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11A-300x48.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11A-480x77.png 480w\" sizes=\"auto, (max-width: 765px) 100vw, 765px\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">in terms of the number of squares. (Hint: If you remove vertical stick at the end, you will get a pattern of Cs)<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) Fig 11.7 gives a matchstick pattern of triangles. As in Exercise 11 (a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-568\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"771\" height=\"127\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11B.png 771w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11B-300x49.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11B-768x127.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.1Q11B-480x79.png 480w\" sizes=\"auto, (max-width: 771px) 100vw, 771px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a)<\/strong> <\/span><\/p>\n<table style=\"width: 80%; border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Figure\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Number of squares<\/strong><\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Number of matchsticks\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Pattern<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 x 1 +1\u00a0\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">7<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 x 2 +1\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">10<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 x 3 +1\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(d)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">13<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 x 4 +1\u00a0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">We may observe that in the given matchstick pattern, the number of matchsticks are 4, 7, 10 and 13, which is 1 more than the thrice of the number of squares in the pattern.<br \/>\nTherefore the pattern is <strong>3x + 1<\/strong>, where x is the number of squares<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong> <\/span><\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Figure\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Number of triangles <\/strong><\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Number of matchsticks\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Pattern<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2 x 1 + 1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">5<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2 x 2 + 1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">7<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2 x 3 + 1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.5152%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(d)<\/strong><\/span><\/td>\n<td style=\"width: 31.3636%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4<\/span><\/td>\n<td style=\"width: 32.1212%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">9<\/span><\/td>\n<td style=\"width: 25%; text-align: center;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2 x 4 + 1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">We may observe that in the given matchstick pattern, the number of matchsticks are 3, 5, 7 and 9 which is 1 more than the twice of the number of triangles in the pattern.<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Therefore the pattern is<strong> 2x + 1<\/strong>, where x is the number of triangles.<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 11 (Algebra) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 11 Algebra Exercise 11.1 has been provided here to help the students in solving the questions from this exercise. Chapter 11: Algebra NCERT Solution Class 6 Maths Exercise &#8211; 11.2 NCERT Solution Class 6 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[25,26,4,5],"class_list":["post-555","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-11-algebra-in-english","tag-ncert-solutions-class-6-maths-chapter-11-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 11 Algebra Ex 11.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 11 Algebra Exercise 11.1 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 11 Algebra Ex 11.1\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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