{"id":1867,"date":"2025-05-31T13:43:03","date_gmt":"2025-05-31T13:43:03","guid":{"rendered":"https:\/\/basiceducation.pk\/edu\/?p=1867"},"modified":"2025-05-31T13:47:49","modified_gmt":"2025-05-31T13:47:49","slug":"mcj-sample-paper-mathematics-military-college-jhelum-maths-model-paper","status":"publish","type":"post","link":"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-military-college-jhelum-maths-model-paper\/","title":{"rendered":"Military College Jhelum Maths Sample Paper"},"content":{"rendered":"\n<p class=\"has-text-align-center has-large-font-size\"><strong>MCJ <a href=\"https:\/\/basiceducation.pk\/edu\/sample-mcqs-paper-pattern-for-8th-class-entry-test-mcj\/\">Sample Paper<\/a> Mathematics<\/strong> <strong>&#8211; 1<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>(For Entry Test Class 1st Year)<\/strong><\/p>\n\n\n\n<p><strong>1. Which of the following is not a valid element of a matrix?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) Scalar<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) Vector<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) Entry<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) Element<\/p>\n\n\n\n<p><strong>2. The determinant of a 2&#215;2 matrix is calculated as:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) <a href=\"https:\/\/basiceducation.pk\/edu\/military-college-sui-admission-2024-for-1st-year-online\/\">ad<\/a> &#8211; bc<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) ac &#8211; bd<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) ab + cd<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) None of the above<\/p>\n\n\n\n<p><strong>3. Real numbers include which of the following?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) Integers<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) Fractions<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) Irrational numbers<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) All of the above<\/p>\n\n\n\n<p><strong>4. What is the value of log\u2081\u2080 1000?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) 1<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) 2<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) 3<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) 4<\/p>\n\n\n\n<p><strong>5. Which of the following is an algebraic expression?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) 3x + 5<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) \u221a4<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) \u03c0<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) 2 + 2<\/p>\n\n\n\n<p><strong>6. (x + 3)(x &#8211; 4) can be expanded as:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) x\u00b2 + 7x + 12<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) x\u00b2 &#8211; x &#8211; 12<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) x\u00b2 &#8211; x + 12<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) x\u00b2 &#8211; 7x &#8211; 12<\/p>\n\n\n\n<p><strong>7. Which of the following is a linear equation?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) y = x\u00b2<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) 3x + 2y = 8<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) xy = 10<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) (x + 2)(y &#8211; 3) = 0<\/p>\n\n\n\n<p><strong>8. The slope of a line perpendicular to another line with slope m is:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) m<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) -m<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) 1\/m<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) -1\/m<\/p>\n\n\n\n<p><strong>9. Which of the following is not a congruence criterion for triangles?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp; A) SSS<\/p>\n\n\n\n<p>&nbsp;&nbsp; B) SAS<\/p>\n\n\n\n<p>&nbsp;&nbsp; C) SSA<\/p>\n\n\n\n<p>&nbsp;&nbsp; D) AAA<\/p>\n\n\n\n<p><strong>10. The sum of the angles of a triangle is:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 90\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 180\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 270\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 360\u00b0<\/p>\n\n\n\n<p><strong>11. If two sides of a triangle are equal, then the angles opposite to them are:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Acute<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Right<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Obtuse<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) All are possible<\/p>\n\n\n\n<p><strong>12. The ratio of the areas of two similar triangles is equal to the ratio of the:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Perimeters<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Angles<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Sides<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) Squares of the corresponding sides<\/p>\n\n\n\n<p><strong>13. In a parallelogram, opposite sides are:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Congruent<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Parallel<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Equal<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) Perpendicular<\/p>\n\n\n\n<p><strong>14. If the lengths of two sides of a right-angled triangle are 3 and 4, the length of the third side is:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 5<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 6<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 7<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 8<\/p>\n\n\n\n<p><strong>15. The area of a triangle with base 6 and height 8 is:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 12<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 24<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 36<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 48<\/p>\n\n\n\n<p><strong>16. Which of the following is a theorem related to the area of a triangle?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Pythagoras theorem<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Heron&#8217;s formula<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Midpoint theorem<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) AAA similarity criterion<\/p>\n\n\n\n<p><strong>17. Which of the following is not a practical geometric construction?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Constructing a perpendicular bisector<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Constructing an angle bisector<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Constructing a line parallel to a given line<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) Constructing a circle with a given radius<\/p>\n\n\n\n<p><strong>18. The matrix [3 2] represents:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) A 2&#215;2 matrix<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) A 2&#215;3 matrix<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) A 3&#215;2 matrix<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) A 3&#215;3 matrix<\/p>\n\n\n\n<p><strong>19. What is the value of log\u2081\u2080 1?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 1<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) -1<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) Undefined<\/p>\n\n\n\n<p><strong>20. The expansion of (a + b)\u00b2 is:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) a\u00b2 + b<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) a\u00b2 + 2ab + b\u00b2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) a\u00b3 + b\u00b3<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) a\u00b2 &#8211; 2ab + b\u00b2<\/p>\n\n\n\n<p><strong>21. The sum of the squares of two consecutive integers is 365. What are the integers?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 13, 14<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 18, 19<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 19, 20<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 20, 21<\/p>\n\n\n\n<p><strong>22. Which of the following is not a property of a parallelogram?<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Opposite sides are equal<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Opposite angles are equal<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Diagonals bisect each other<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) Diagonals are equal<\/p>\n\n\n\n<p><strong>23. The midpoint of a line segment with endpoints (3, 4) and (7, 2) is:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) (5, 3)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) (5, 5)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) (10, 6)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) (2, 1)<\/p>\n\n\n\n<p><strong>24. In a right-angled triangle, the side opposite the right angle is called the:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Hypotenuse<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Adjacent side<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Opposite side<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) None of the above<\/p>\n\n\n\n<p><strong>25. The ratio of corresponding sides of similar triangles is equal to the ratio of their:<\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Perimeters<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Areas<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Angles<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) None of the above<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\"><strong>1st Year Class Exam Model Papers (<a href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-mcqs-for-1st-year-entry-test\/\">MCQs<\/a>) &#8211; MCJ<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><a href=\"https:\/\/basiceducation.pk\/edu\/military-college-jhelum-chemistry-sample-paper-entry-test-1st-year\/\">Sample Paper Chemistry Entrance Exam Class 11th<\/a> <\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><a href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-physics-entrance-exam-class-11th\/\">Sample Paper Physics Entrance Exam Class 11th<\/a><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><a href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics\/\">Sample Paper Maths Entrance Exam Class 11th<\/a><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><a href=\"https:\/\/basiceducation.pk\/edu\/military-college-jhelum-english-sample-paper\/\">Sample Paper English Entrance Exam Class 11th<\/a><\/strong><\/p>\n<div id=\"basic-1262952881\" class=\"basic-after-content-2 basic-entity-placement\"><script>\r\n  atOptions = {\r\n    'key' : '9b5933993077677c512842f20856cab6',\r\n    'format' : 'iframe',\r\n    'height' : 60,\r\n    'width' : 468,\r\n    'params' : {}\r\n  };\r\n<\/script>\r\n<script src=\"https:\/\/www.highperformanceformat.com\/9b5933993077677c512842f20856cab6\/invoke.js\"><\/script>\r\n<\/div><div id=\"basic-2685624665\" class=\"basic-after-content-3 basic-entity-placement\"><script>\r\n  atOptions = {\r\n    'key' : '9b5933993077677c512842f20856cab6',\r\n    'format' : 'iframe',\r\n    'height' : 60,\r\n    'width' : 468,\r\n    'params' : {}\r\n  };\r\n<\/script>\r\n<script src=\"https:\/\/www.highperformanceformat.com\/9b5933993077677c512842f20856cab6\/invoke.js\"><\/script>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>MCJ Sample Paper Mathematics &#8211; 1 (For Entry Test Class 1st Year) 1. Which of the following is not a valid element of a matrix? <a href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-military-college-jhelum-maths-model-paper\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"two_page_speed":[],"footnotes":""},"categories":[47],"tags":[667,668],"class_list":["post-1867","post","type-post","status-publish","format-standard","hentry","category-military-college-jhelum","tag-mcj-sample-paper-mathematics","tag-military-college-jhelum-maths-model-paper"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>MCJ Sample Paper Mathematics | Military College Jhelum Maths Model Paper<\/title>\n<meta name=\"description\" content=\"MCJ Sample Paper Mathematics | Military College Jhelum Maths Model Paper | 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