{"id":43256,"date":"2023-04-10T14:19:58","date_gmt":"2023-04-10T08:49:58","guid":{"rendered":"https:\/\/icsesolutions.com\/?p=43256"},"modified":"2023-04-11T10:16:54","modified_gmt":"2023-04-11T04:46:54","slug":"ml-aggarwal-class-7-icse-maths-model-question-paper-4","status":"publish","type":"post","link":"https:\/\/icsesolutions.com\/ml-aggarwal-class-7-icse-maths-model-question-paper-4\/","title":{"rendered":"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4"},"content":{"rendered":"<h2>ML Aggarwal Class 7 ICSE Maths Model Question Paper 4<\/h2>\n<p>(Based on Chapters 10 to 12)<br \/>\n<strong>Time allowed: 1 Hour<\/strong><br \/>\n<strong>Maximum Marks: 25<\/strong><\/p>\n<p style=\"text-align: left;\"><strong>General Instructions<\/strong><\/p>\n<ul>\n<li>Questions 1-2 carry 1 mark each.<\/li>\n<li>Questions 3-5 carry 2 marks each.<\/li>\n<li>Questions 6-8 cany 3 marks each<\/li>\n<li>Questions 9-10 carry 4 marks each.<\/li>\n<\/ul>\n<p>Choose the correct answer from the given four options (1-2):<br \/>\nQuestion 1.<br \/>\nIn the given figure, if l || m then the value of x is<br \/>\n(a) 65\u00b0<br \/>\n(b) 105\u00b0<br \/>\n(c) 115\u00b0<br \/>\n(d) 125\u00b0<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82463\" src=\"https:\/\/i1.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q1.1.png?resize=199%2C133&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q1.1\" width=\"199\" height=\"133\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\nIn the given figure, if l || m<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82465\" src=\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q1.2.png?resize=195%2C134&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q1.2\" width=\"195\" height=\"134\" data-recalc-dims=\"1\" \/><br \/>\n\u22201 = 65\u00b0 (Vertically opposite angles)<br \/>\nBut \u22201 + x = 180\u00b0 (Co-interior angles)<br \/>\n\u21d2 65\u00b0 + x = 180\u00b0<br \/>\n\u21d2 x = 180\u00b0 &#8211; 65\u00b0 = 115\u00b0 (c)<\/p>\n<p>Question 2.<br \/>\nA triangle whose two angles measure 40\u00b0 and 100\u00b0 is<br \/>\n(a) scalene<br \/>\n(b) isosceles<br \/>\n(c) equilateral<br \/>\n(d) right-angled<br \/>\nSolution:<br \/>\nIn a triangle, two angles are 40\u00b0 and 100\u00b0<br \/>\nThird angle = 180\u00b0 &#8211; (40\u00b0 + 100\u00b0) = 180\u00b0 &#8211; 140\u00b0 = 40\u00b0<br \/>\nThe triangles is an isosceles as two angles are equal,<br \/>\nthen their opposite sides are equal. (b)<\/p>\n<p>Question 3.<br \/>\nIn the given figure, lines l and m intersect at O. If \u22201 + \u22203 = 222\u00b0, then find the measure of \u22202.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82466\" src=\"https:\/\/i0.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q3.1.png?resize=206%2C138&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q3.1\" width=\"206\" height=\"138\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\nIn the given figure, two lines l and m intersect each other at O.<br \/>\n\u22201 + \u22203 = 222\u00b0<br \/>\n\u21d2 \u22201 = \u22203 (Vertically opposite angles)<br \/>\n\u21d2 \u22201 = \u22203 = \\(\\frac { 222 }{ 2 }\\) = 111\u00b0<br \/>\nBut \u22201 + \u22202 = 180\u00b0 (Linear pair)<br \/>\n\u21d2 111\u00b0 + \u22202 = 180\u00b0<br \/>\n\u21d2 \u22202 = 180\u00b0 &#8211; 111\u00b0<br \/>\n\u21d2 \u22202 = 69\u00b0<\/p>\n<p>Question 4.<br \/>\nIn the given figure, AB = AC. Find the value of x.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82467\" src=\"https:\/\/i0.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q4.1.png?resize=181%2C179&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q4.1\" width=\"181\" height=\"179\" srcset=\"https:\/\/i0.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q4.1.png?w=181&amp;ssl=1 181w, https:\/\/i0.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q4.1.png?resize=100%2C100&amp;ssl=1 100w\" sizes=\"(max-width: 181px) 100vw, 181px\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\nIn the given figure,<br \/>\nAB = AC<br \/>\n\u2220B = \u2220C (Angles opposite to equal sides)<br \/>\nBut \u2220A = 70\u00b0<br \/>\n\u2220B + \u2220C = 180\u00b0 &#8211; 70\u00b0 = 110\u00b0<br \/>\n\u21d2 \u2220B = \\(\\frac { 110 }{ 2 }\\)<br \/>\n\u21d2 \u2220B = x = 55\u00b0<\/p>\n<p>Question 5.<br \/>\nIf \u2206PQR = \u2206EFD, write the parts of \u2206EFD that correspond to:<br \/>\n(i) \u2220Q<br \/>\n(ii) \\(\\bar { PR }\\)<br \/>\n(iii) \u2220P<br \/>\n(iv) \\(\\bar { QR }\\)<br \/>\nSolution:<br \/>\n\u2206PQR = \u2206EFD, then corresponding parts are<br \/>\n(i) \u2220Q = \u2220F<br \/>\n(ii) \\(\\bar { PR }\\) = ED<br \/>\n(iii) \u2220P = \u2220E<br \/>\n(iv) \\(\\bar { QR }\\) = FD<\/p>\n<p>Question 6.<br \/>\nIn the given figure, l || m and p || q. Find the value of x, y, and z.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82468\" src=\"https:\/\/i1.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q6.1.png?resize=176%2C157&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q6.1\" width=\"176\" height=\"157\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\nIn the given figure,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82469\" src=\"https:\/\/i0.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q6.2.png?resize=177%2C160&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q6.2\" width=\"177\" height=\"160\" data-recalc-dims=\"1\" \/><br \/>\nl || m and p || q<br \/>\nx = 70\u00b0 (Corresponding angles)<br \/>\n\u22201 = x = 75\u00b0 (Corresponding angles)<br \/>\nBut \u22201 + y = 180\u00b0 (Co-interior angles)<br \/>\ny = 180\u00b0 &#8211; \u22201 = 180\u00b0 &#8211; 75\u00b0 = 105\u00b0<br \/>\nz = \u22201 (Vertically opposite angles)<br \/>\nz = 75\u00b0<br \/>\nHence, x = 75\u00b0, y = 105\u00b0, z = 75\u00b0<\/p>\n<p>Question 7.<br \/>\nIn the given figure, AB = AC. Find the values of x and y.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82471\" src=\"https:\/\/i1.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q7.1.png?resize=194%2C140&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q7.1\" width=\"194\" height=\"140\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\nIn the given figure,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82472\" src=\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q7.2.png?resize=198%2C152&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q7.2\" width=\"198\" height=\"152\" data-recalc-dims=\"1\" \/><br \/>\nAB = AC<br \/>\n\u2220EAF = 80\u00b0<br \/>\n\u2220BAC = \u2220EAF (Vertically opposite angles)<br \/>\n\u22201 = 80\u00b0<br \/>\n\u2220B + \u2220C = 180\u00b0 &#8211; \u2220A = 180\u00b0 &#8211; 80\u00b0 = 100\u00b0<br \/>\nBut \u2220B = \u2220C (Angles opposite to equal sides)<br \/>\n\u2220B = \u2220C = \\(\\frac { 100 }{ 2 }\\) = 50\u00b0<br \/>\nx = 50\u00b0<br \/>\nNow Ext. \u2220ACD = \u2220B + \u2220BAC = x + \u22201<br \/>\ny = 50\u00b0 + 80\u00b0 = 130\u00b0<br \/>\nx = 50\u00b0, y = 130\u00b0<\/p>\n<p>Question 8.<br \/>\nIf the lengths of two sides of a triangle are 5 cm and 7.5 cm then what can be the length of the third?<br \/>\nSolution:<br \/>\nLenghts of two sides of a triangle are 5 cm, 7.5 cm<br \/>\nThen length of third side &lt; (5 + 7.5) = 12.5 cm<br \/>\nor greater than 7.5 &#8211; 5.0 = 2.5 cm<\/p>\n<p>Question 9.<br \/>\nAn apple orchard is in the shape of a rectangle. If its length is 60 m and the length of one diagonal is 75 m, then find:<br \/>\n(i) the breadth of the orchard.<br \/>\n(ii) the perimeter of the orchard.<br \/>\nSolution:<br \/>\nAn apple orchard is in shape of a rectangle Length = 60 cm<br \/>\nOne diagonal = 75 m<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82473\" src=\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q9.1.png?resize=257%2C341&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q9.1\" width=\"257\" height=\"341\" srcset=\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q9.1.png?w=257&amp;ssl=1 257w, https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q9.1.png?resize=226%2C300&amp;ssl=1 226w\" sizes=\"(max-width: 257px) 100vw, 257px\" data-recalc-dims=\"1\" \/><br \/>\nand perimeter = 2(Length + Breadth)<br \/>\n= 2(60 + 45) m = 2 \u00d7 105 = 210 m<br \/>\nApples keep our body hale and healthy.<\/p>\n<p>Question 10.<br \/>\nIn the given figure, measures of some parts are given.<br \/>\n(i) State the three pairs of equal parts in \u2206ABD and \u2206ACD.<br \/>\n(ii) Is \u2206ABD = \u2206ACD? Give reason.<br \/>\n(iii) Is D mid-point of BC? Why?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-82474\" src=\"https:\/\/i1.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-ICSE-Maths-Model-Question-Paper-4-Q10.1.png?resize=182%2C177&#038;ssl=1\" alt=\"ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 Q10.1\" width=\"182\" height=\"177\" data-recalc-dims=\"1\" \/><\/p>\n<p>Solution:<br \/>\nIn the given figure,<br \/>\nIn right \u2206ABD and \u2206ACD<br \/>\nSide AD = AD (Common)<br \/>\nHypotenuse, AB = AC (Each = 3.6 cm)<br \/>\n\u2206ABD = \u2206ACD (RHS criterion)<br \/>\nBD = DC (c.p.c.t.)<br \/>\nD is mid-point of BC.<\/p>\n<h4><a href=\"https:\/\/icsesolutions.com\/ml-aggarwal-icse-solutions-for-class-7-maths\/\">ML Aggarwal Class 7 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>ML Aggarwal Class 7 ICSE Maths Model Question Paper 4 (Based on Chapters 10 to 12) Time allowed: 1 Hour Maximum Marks: 25 General Instructions Questions 1-2 carry 1 mark each. Questions 3-5 carry 2 marks each. Questions 6-8 cany 3 marks each Questions 9-10 carry 4 marks each. Choose the correct answer from the &hellip;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts\/43256"}],"collection":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/comments?post=43256"}],"version-history":[{"count":1,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts\/43256\/revisions"}],"predecessor-version":[{"id":159045,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts\/43256\/revisions\/159045"}],"wp:attachment":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/media?parent=43256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/categories?post=43256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/tags?post=43256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}