{"id":162991,"date":"2026-03-26T17:40:00","date_gmt":"2026-03-26T17:40:00","guid":{"rendered":"https:\/\/news.gyankatta.org\/?p=162991"},"modified":"2026-02-26T17:53:47","modified_gmt":"2026-02-26T17:53:47","slug":"class-8-mathematics-question-paper","status":"publish","type":"post","link":"https:\/\/news.gyankatta.org\/?p=162991","title":{"rendered":"Class 8 \u2013 Mathematics Question Paper"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p>Time: 3 Hours Maximum Marks: 80<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Section A \u2013 MCQs (1 \u00d7 10 = 10 Marks)<\/strong><\/p>\n\n\n\n<p>1. The additive inverse of \u22127\/9 is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) 7\/9<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) \u22127\/9<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) 9\/7<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) 0<\/p>\n\n\n\n<p>2. 2\u00b3 \u00d7 2\u2074 =<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) 2\u2077<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) 4\u2077<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) 2\u00b9\u00b2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) 2\u00b9<\/p>\n\n\n\n<p>3. The HCF of 36 and 54 is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) 6<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) 9<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) 12<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) 18<\/p>\n\n\n\n<p>4. (a + b)\u00b2 =<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) a\u00b2 + b\u00b2<\/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\u00b2 \u2212 2ab + b\u00b2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) 2a\u00b2 + 2b\u00b2<\/p>\n\n\n\n<p>5. Profit % =<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) (Profit\/SP) \u00d7 100<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) (Profit\/CP) \u00d7 100<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) (CP\/SP) \u00d7 100<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) (SP\/CP) \u00d7 100<\/p>\n\n\n\n<p>6. A quadrilateral with one pair of parallel sides is a:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) Parallelogram<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) Rhombus<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) Trapezium<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) Rectangle<\/p>\n\n\n\n<p>7. Area of trapezium =<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) \u00bd \u00d7 base \u00d7 height<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) \u00bd \u00d7 (sum of parallel sides) \u00d7 height<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) length \u00d7 breadth<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) side\u00b2<\/p>\n\n\n\n<p>8. Volume of cube of side a =<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;a) 3a<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;b) a\u00b2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;c) a\u00b3<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) 6a\u00b2<\/p>\n\n\n\n<p>9. Probability of a sure event is:<\/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\/2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;d) 2<\/p>\n\n\n\n<p>10. Total angle of a circle in pie chart is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;a) 90\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;b) 180\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;c) 360\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;d) 270\u00b0<\/p>\n\n\n\n<p><strong>Section B \u2013 Fill in the Blanks (1 \u00d7 10 = 10 Marks)<\/strong><\/p>\n\n\n\n<p>1. Reciprocal of 5\/8 is ________.<\/p>\n\n\n\n<p>2. 10\u207b\u00b2 = ________.<\/p>\n\n\n\n<p>3. (a \u2212 b)\u00b2 = ________.<\/p>\n\n\n\n<p>4. LCM of two numbers is always ________ or equal to the numbers.<\/p>\n\n\n\n<p>5. If CP = \u20b9800 and SP = \u20b9750, there is a ________.<\/p>\n\n\n\n<p>6. Opposite sides of a parallelogram are ________.<\/p>\n\n\n\n<p>7. Surface area of cuboid = ________.<\/p>\n\n\n\n<p>8. Graph of linear equation in one variable is a ________.<\/p>\n\n\n\n<p>9. Sum of interior angles of quadrilateral is ________.<\/p>\n\n\n\n<p>10. Probability lies between ________ and ________.<\/p>\n\n\n\n<p><strong>Section C \u2013 Very Short Answer Questions (2 \u00d7 5 = 10 Marks)<\/strong><\/p>\n\n\n\n<p>1. Find: 3\/5 + (\u22127\/10)<\/p>\n\n\n\n<p>2. Simplify: (3x)(4x\u00b2)<\/p>\n\n\n\n<p>3. Find the compound interest on \u20b91000 for 1 year at 10% per annum.<\/p>\n\n\n\n<p>4. Find area of trapezium with parallel sides 10 cm and 6 cm, height 5 cm.<\/p>\n\n\n\n<p>5. Find probability of getting an even number when a die is thrown.<\/p>\n\n\n\n<p><strong>Section D \u2013 Short Answer Questions (3 \u00d7 5 = 15 Marks)<\/strong><\/p>\n\n\n\n<p>1. Factorize: x\u00b2 \u2212 9<\/p>\n\n\n\n<p>2. Divide: 6x\u00b3 \u00f7 2x<\/p>\n\n\n\n<p>3. A shirt costs \u20b91200 and is sold at 15% profit. Find SP.<\/p>\n\n\n\n<p>4. Find total surface area of cube of side 7 cm.<\/p>\n\n\n\n<p>5. Draw a pie chart for:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;Study \u2013 4 hours<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;Play \u2013 2 hours<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;Sleep \u2013 8 hours<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;Others \u2013 10 hours<\/p>\n\n\n\n<p><strong>Section E \u2013 Long Answer Questions (5 \u00d7 4 = 20 Marks)<\/strong><\/p>\n\n\n\n<p>1. Simplify using identities:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;(2x + 3)\u00b2 \u2212 (2x \u2212 3)\u00b2<\/p>\n\n\n\n<p>2. Find compound interest on \u20b95000 at 8% per annum for 2 years.<\/p>\n\n\n\n<p>3. Marks obtained by students:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Marks<\/td><td>10<\/td><td>20<\/td><td>30<\/td><td>40<\/td><td>50<\/td><\/tr><tr><td>Students<\/td><td>2<\/td><td>5<\/td><td>8<\/td><td>3<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(a) Find mean<\/p>\n\n\n\n<p>(b) Represent data by bar graph<\/p>\n\n\n\n<p>4. A cylinder has radius 7 cm and height 10 cm.<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;(a) Find curved surface area<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;(b) Find volume<\/p>\n\n\n\n<p><strong>Section F \u2013 Constructions (2 \u00d7 5 = 10 Marks)<\/strong><\/p>\n\n\n\n<p>1. Construct quadrilateral ABCD where:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;AB = 5 cm, BC = 4 cm, CD = 6 cm, DA = 5 cm, diagonal AC = 7 cm<\/p>\n\n\n\n<p>2. Construct a regular hexagon of side 4 cm.<\/p>\n\n\n\n<p><strong>Section G \u2013 HOTS (1 \u00d7 5 = 5 Marks)<\/strong><\/p>\n\n\n\n<p>1. A rectangular field is 50 m long and 40 m wide. A path of 5 m width is built outside all around it.&nbsp; Find the area of the path.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time: 3 Hours Maximum Marks: 80 Section A \u2013 MCQs (1 \u00d7 10 = 10 Marks) 1. The additive inverse of \u22127\/9 is: &nbsp;&nbsp;&nbsp;a) 7\/9 &nbsp;&nbsp;&nbsp;b) \u22127\/9 &nbsp;&nbsp;&nbsp;c) 9\/7 &nbsp;&nbsp;&nbsp;d) 0 2. 2\u00b3 \u00d7 2\u2074 = &nbsp;&nbsp;&nbsp;a) 2\u2077 &nbsp;&nbsp;&nbsp;b) 4\u2077&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-162991","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Class 8 \u2013 Mathematics Question Paper - Gyankatta<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/news.gyankatta.org\/?p=162991\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Class 8 \u2013 Mathematics Question Paper - Gyankatta\" \/>\n<meta property=\"og:description\" content=\"Time: 3 Hours Maximum Marks: 80 Section A \u2013 MCQs (1 \u00d7 10 = 10 Marks) 1. 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