{"id":826,"date":"2023-10-21T05:11:57","date_gmt":"2023-10-20T23:41:57","guid":{"rendered":"https:\/\/tnboardsolutions.com\/?p=826"},"modified":"2023-11-10T14:46:39","modified_gmt":"2023-11-10T09:16:39","slug":"samacheer-kalvi-6th-maths-guide-term-1-chapter-3-ex-3-2","status":"publish","type":"post","link":"https:\/\/tnboardsolutions.com\/samacheer-kalvi-6th-maths-guide-term-1-chapter-3-ex-3-2\/","title":{"rendered":"Samacheer Kalvi 6th Maths Guide Term 1 Chapter 3 Ratio and Proportion Ex 3.2"},"content":{"rendered":"

Students can download Maths Chapter 3 Ratio and Proportion Ex 3.2 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide<\/a>\u00a0Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.<\/p>\n

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio and Proportion Ex 3.2<\/h2>\n

Question 1.
\nFill in the blanks of the given equivalent ratios.
\n(i) 3 : 5 = 9 : ……
\n(ii) 4 : 5 = …… : 10
\n(iii) 6 : …… = 1 : 2
\nSolution:
\n(i) 15
\nHint: \\(\\frac{3}{5}=\\frac{3 \\times 3}{5 \\times 3}=\\frac{9}{15}\\)
\n(ii) 8
\nHint: \\(\\frac{4}{5}=\\frac{4 \\times 2}{5 \\times 2}=\\frac{8}{10}\\)
\n(iii) 12
\nHint: \\(\\frac{1}{2}=\\frac{1 \\times 6}{2 \\times 6}=\\frac{6}{12}\\)<\/p>\n

Question 2.
\nComplete the table.
\n\"Samacheer
\nSolution:
\n(i) 1 feet = 12 inches
\n3 feet = 3 \u00d7 12 inches = 36 inches
\n72 inches = 6 \u00d7 12 inches = 6 feet<\/p>\n

(ii) 1 week = 7 days
\n2 weeks = 2 \u00d7 7 days = 14 days
\n63 days = 9 \u00d7 7 days = 9 weeks<\/p>\n

\"Samacheer<\/p>\n

Question 3.
\nSay True or False.
\n(i) 5 : 7 is equivalent to 21 : 15
\n(ii) If 40 is divided in the ratio 3 : 2, then the larger part is 24
\nSolution:
\n(i) False
\nHint: \\(\\frac{21}{15}=\\frac{7}{5}=7: 5\\)
\n(ii) True
\nHint: \\(\\frac{3}{5} \\times 40=24\\)<\/p>\n

Question 4.
\nGive two equivalent ratios for each of the following.
\n(i) 3 : 2
\n(ii) 1 : 6
\n(iii) 5 : 4
\nSolution:
\n(i) 3 : 2
\n\"Samacheer
\n3 : 2 = 6 : 4 = 9 : 6<\/p>\n

(ii) 1 : 6
\n\"Samacheer
\n1 : 6 = 2 : 12 = 3 : 18<\/p>\n

(iii) 5 : 4
\n\"Samacheer
\n5 : 4 = 10 : 8 = 15 : 12<\/p>\n

\"Samacheer<\/p>\n

Question 5.
\nWhich of the two ratios is larger?
\n(i) 4 : 5 or 8 : 15
\n(ii) 3 : 4 or 7 : 8
\n(iii) 1 : 2 or 2 : 1
\nSolution:
\n(i) 4 : 5 (or) 8 : 15
\n\"Samacheer
\n4 : 5 > 8 : 15<\/p>\n

(ii) 3 : 4 (or) 7 : 8
\n\"Samacheer
\n7 : 8 > 3 : 4<\/p>\n

(iii) 1 : 2 (or) 2 : 1
\n1 : 2 = \\(\\frac{1}{2}\\)
\n2 : 1 = \\(\\frac{2}{1}\\)
\n= 2
\n\\(\\frac{2}{1}\\) > \\(\\frac{1}{2}\\)
\n2 : 1 > 1 : 2<\/p>\n

\"Samacheer<\/p>\n

Question 6.
\nDivide the numbers given below in the required ratio.
\n(i) 20 in the ratio 3 : 2
\n(ii) 27 in the ratio 4 : 5
\n(iii) 40 in the ratio 6 : 14.
\nSolution:
\n(i) Ratio = 3 : 2
\nSum of the ratio = 3 + 2 = 5
\n5 parts = 20
\n1 part = \\(\\frac{20}{5}\\) = 4
\n3 parts = 3 \u00d7 4 = 12
\n2 parts = 2 \u00d7 4 = 8
\n20 can be divided in the form as 12, 8.<\/p>\n

(ii) Ratio = 4 : 5
\nSum of the ratio = 4 + 5 = 9
\n9 parts = 27
\n1 part = \\(\\frac{27}{9}\\) = 3
\n4 parts = 4 \u00d7 3 = 12
\n5 parts = 5 \u00d7 3 =15
\n27 can be divided in the form as 12, 15.<\/p>\n

(iii) 40 in the ratio 6 : 14
\nRatio = 6 : 14
\nSum of the ratio = 6 + 14 = 20
\n20 parts = 40
\n1 part = \\(\\frac{40}{20}\\) = 2
\n6 parts = 2 \u00d7 6 = 12
\n14 parts = 2 \u00d7 14 = 28
\n40 can be divided in the form as 12, 28.<\/p>\n

\"Samacheer<\/p>\n

Question 7.
\nIn a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is Rs 4000, then what will be the amount spent for
\n(i) Provisions and
\n(ii) Vegetables?
\nSolution:
\nAllotted amount = Rs 4000
\nRatio = 3 : 2
\nSum of the ratio = 3 + 2 = 5
\n5 parts = Rs 4000
\n1 part = Rs \\(\\frac{4000}{5}\\) = Rs 800
\nProvisions : Vegetables = 3 : 2
\n3 parts = 3 \u00d7 Rs 800 = Rs 2400
\n2 parts = 2 \u00d7 Rs 800 = Rs 1600
\nAmount spent for provisions = Rs 2400
\nAmount spent for vegetables = Rs 1600<\/p>\n

\"Samacheer<\/p>\n

Question 8.
\nA line segment 63 cm long is to be divided into two parts in the ratio 3 : 4. Find the length of each part.
\nSolution:
\nTotal length = 63 cm Ratio = 3 : 4
\nSum of the ratio = 3 + 4 = 7
\n7 parts = 63 cm
\n1 part = \\(\\frac{63}{7}\\) = 9 cm
\n3 parts = 3 \u00d7 9 cm = 27 cm
\n4 parts = 4 \u00d7 9 cm = 36 cm
\n\u2234 63 cm can be divided into the parts as 27 cm and 36 cm.<\/p>\n

Objective Type Questions<\/span><\/p>\n

Question 9.
\nIf 2 : 3 and 4 : …… are equivalent ratios, then the missing term is
\n(a) 6
\n(b) 2
\n(c) 4
\n(d) 3
\nSolution:
\n(a) 6<\/p>\n

\"Samacheer<\/p>\n

Question 10.
\nAn equivalent ratio of 4 : 7 is
\n(a) 1 : 3
\n(b) 8 : 15
\n(c) 14 : 8
\n(d) 12 : 21
\nSolution:
\n(d) 12 : 21<\/p>\n

Question 11.
\nWhich is not an equivalent ratio of \\(\\frac{16}{24}\\)?
\n(a) \\(\\frac{6}{9}\\)
\n(b) \\(\\frac{12}{18}\\)
\n(c) \\(\\frac{10}{15}\\)
\n(d) \\(\\frac{20}{28}\\)
\nSolution:
\n(d) \\(\\frac{20}{28}\\)<\/p>\n

\"Samacheer<\/p>\n

Question 12.
\nIf Rs 1600 is divided
\n(a) Rs 480
\n(b) Rs 800
\n(c) Rs 1000
\n(d) Rs 200
\nSolution:
\n(c) Rs 1000<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can download Maths Chapter 3 Ratio and Proportion Ex 3.2 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide\u00a0Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams. Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio …<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/826"}],"collection":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/comments?post=826"}],"version-history":[{"count":1,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/826\/revisions"}],"predecessor-version":[{"id":43521,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/826\/revisions\/43521"}],"wp:attachment":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/media?parent=826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/categories?post=826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/tags?post=826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}