{"id":1604,"date":"2025-11-17T01:22:25","date_gmt":"2025-11-17T01:22:25","guid":{"rendered":"https:\/\/learnhubshiksha.com\/?page_id=1604"},"modified":"2025-11-17T02:31:43","modified_gmt":"2025-11-17T02:31:43","slug":"mathematics-notes","status":"publish","type":"page","link":"https:\/\/learnhubshiksha.com\/hi\/competitive-exams\/subject-wise-notes\/mathematics-notes\/","title":{"rendered":"Mathematics Notes"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"1604\" class=\"elementor elementor-1604\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d11779f e-flex e-con-boxed e-con e-parent\" data-id=\"d11779f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e39fc69 elementor-widget elementor-widget-text-editor\" data-id=\"e39fc69\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><strong data-start=\"221\" data-end=\"249\">1.Arithmetic (\u0905\u0902\u0915\u0917\u0923\u093f\u0924)<\/strong><\/h3><ul><li data-start=\"252\" data-end=\"269\"><p data-start=\"254\" data-end=\"269\">Number System<\/p><\/li><li data-start=\"270\" data-end=\"283\"><p data-start=\"272\" data-end=\"283\">HCF &amp; LCM<\/p><\/li><li data-start=\"284\" data-end=\"302\"><p data-start=\"286\" data-end=\"302\">Simplification<\/p><\/li><li data-start=\"303\" data-end=\"328\"><p data-start=\"305\" data-end=\"328\">Square &amp; Cube \/ Roots<\/p><\/li><li data-start=\"329\" data-end=\"351\"><p data-start=\"331\" data-end=\"351\">Ratio &amp; Proportion<\/p><\/li><li data-start=\"352\" data-end=\"366\"><p data-start=\"354\" data-end=\"366\">Percentage<\/p><\/li><li data-start=\"367\" data-end=\"384\"><p data-start=\"369\" data-end=\"384\">Profit &amp; Loss<\/p><\/li><li data-start=\"385\" data-end=\"397\"><p data-start=\"387\" data-end=\"397\">Discount<\/p><\/li><li data-start=\"398\" data-end=\"422\"><p data-start=\"400\" data-end=\"422\">Simple Interest (SI)<\/p><\/li><li data-start=\"423\" data-end=\"449\"><p data-start=\"425\" data-end=\"449\">Compound Interest (CI)<\/p><\/li><li data-start=\"450\" data-end=\"461\"><p data-start=\"452\" data-end=\"461\">Average<\/p><\/li><li data-start=\"462\" data-end=\"477\"><p data-start=\"464\" data-end=\"477\">Time &amp; Work<\/p><\/li><li data-start=\"478\" data-end=\"504\"><p data-start=\"480\" data-end=\"504\">Time, Speed &amp; Distance<\/p><\/li><li data-start=\"505\" data-end=\"524\"><p data-start=\"507\" data-end=\"524\">Boats &amp; Streams<\/p><\/li><li data-start=\"525\" data-end=\"544\"><p data-start=\"527\" data-end=\"544\">Pipes &amp; Cistern<\/p><\/li><li data-start=\"545\" data-end=\"560\"><p data-start=\"547\" data-end=\"560\">Partnership<\/p><\/li><li data-start=\"561\" data-end=\"585\"><p data-start=\"563\" data-end=\"585\">Mixture &amp; Alligation<\/p><\/li><li data-start=\"586\" data-end=\"611\"><p data-start=\"588\" data-end=\"611\">Mensuration (2D &amp; 3D)<\/p><\/li><li data-start=\"612\" data-end=\"638\"><p data-start=\"614\" data-end=\"638\">Data Interpretation (DI)\u00a0<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f7c290e e-flex e-con-boxed e-con e-parent\" data-id=\"f7c290e\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-27b1769 elementor-widget elementor-widget-text-editor\" data-id=\"27b1769\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 data-start=\"645\" data-end=\"675\"><strong data-start=\"648\" data-end=\"673\">2.Algebra (\u092c\u0940\u091c\u0917\u0923\u093f\u0924)<\/strong><\/h3><ul data-start=\"676\" data-end=\"890\"><li data-start=\"676\" data-end=\"701\"><p data-start=\"678\" data-end=\"701\">Algebraic Expressions<\/p><\/li><li data-start=\"702\" data-end=\"717\"><p data-start=\"704\" data-end=\"717\">Polynomials<\/p><\/li><li data-start=\"718\" data-end=\"735\"><p data-start=\"720\" data-end=\"735\">Factorization<\/p><\/li><li data-start=\"736\" data-end=\"756\"><p data-start=\"738\" data-end=\"756\">Linear Equations<\/p><\/li><li data-start=\"757\" data-end=\"780\"><p data-start=\"759\" data-end=\"780\">Quadratic Equations<\/p><\/li><li data-start=\"781\" data-end=\"797\"><p data-start=\"783\" data-end=\"797\">Inequalities<\/p><\/li><li data-start=\"798\" data-end=\"844\"><p data-start=\"800\" data-end=\"844\">Arithmetic &amp; Geometric Progression (AP\/GP)<\/p><\/li><li data-start=\"845\" data-end=\"858\"><p data-start=\"847\" data-end=\"858\">Logarithm<\/p><\/li><li data-start=\"859\" data-end=\"890\"><p data-start=\"861\" data-end=\"890\">Sets, Relations &amp; Functions<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f99861a e-flex e-con-boxed e-con e-parent\" data-id=\"f99861a\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0e358d4 elementor-widget elementor-widget-text-editor\" data-id=\"0e358d4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 data-start=\"897\" data-end=\"929\"><strong data-start=\"900\" data-end=\"927\">3.Geometry (\u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f)<\/strong><\/h4><ul data-start=\"930\" data-end=\"1083\"><li data-start=\"930\" data-end=\"948\"><p data-start=\"932\" data-end=\"948\">Basic Geometry<\/p><\/li><li data-start=\"949\" data-end=\"967\"><p data-start=\"951\" data-end=\"967\">Lines &amp; Angles<\/p><\/li><li data-start=\"968\" data-end=\"981\"><p data-start=\"970\" data-end=\"981\">Triangles<\/p><\/li><li data-start=\"982\" data-end=\"1009\"><p data-start=\"984\" data-end=\"1009\">Congruency &amp; Similarity<\/p><\/li><li data-start=\"1010\" data-end=\"1028\"><p data-start=\"1012\" data-end=\"1028\">Quadrilaterals<\/p><\/li><li data-start=\"1029\" data-end=\"1040\"><p data-start=\"1031\" data-end=\"1040\">Circles<\/p><\/li><li data-start=\"1041\" data-end=\"1083\"><p data-start=\"1043\" data-end=\"1083\">Coordinate Geometry (Coordinate Plane)<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e58c135 e-flex e-con-boxed e-con e-parent\" data-id=\"e58c135\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-29693e4 elementor-widget elementor-widget-text-editor\" data-id=\"29693e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 data-start=\"1090\" data-end=\"1128\"><strong data-start=\"1093\" data-end=\"1126\">4.Mensuration (\u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092e\u093f\u0924\u093f)<\/strong><\/h4><p data-start=\"1129\" data-end=\"1145\"><strong data-start=\"1129\" data-end=\"1143\">2D Shapes:<\/strong><\/p><ul data-start=\"1146\" data-end=\"1260\"><li data-start=\"1146\" data-end=\"1156\"><p data-start=\"1148\" data-end=\"1156\">Square<\/p><\/li><li data-start=\"1157\" data-end=\"1170\"><p data-start=\"1159\" data-end=\"1170\">Rectangle<\/p><\/li><li data-start=\"1171\" data-end=\"1183\"><p data-start=\"1173\" data-end=\"1183\">Triangle<\/p><\/li><li data-start=\"1184\" data-end=\"1195\"><p data-start=\"1186\" data-end=\"1195\">Rhombus<\/p><\/li><li data-start=\"1196\" data-end=\"1213\"><p data-start=\"1198\" data-end=\"1213\">Parallelogram<\/p><\/li><li data-start=\"1214\" data-end=\"1227\"><p data-start=\"1216\" data-end=\"1227\">Trapezium<\/p><\/li><li data-start=\"1228\" data-end=\"1260\"><p data-start=\"1230\" data-end=\"1260\">Circle (Area, Circumference)<\/p><\/li><\/ul><p data-start=\"1262\" data-end=\"1278\"><strong data-start=\"1262\" data-end=\"1276\">3D Shapes:<\/strong><\/p><ul data-start=\"1279\" data-end=\"1346\"><li data-start=\"1279\" data-end=\"1287\"><p data-start=\"1281\" data-end=\"1287\">Cube<\/p><\/li><li data-start=\"1288\" data-end=\"1298\"><p data-start=\"1290\" data-end=\"1298\">Cuboid<\/p><\/li><li data-start=\"1299\" data-end=\"1311\"><p data-start=\"1301\" data-end=\"1311\">Cylinder<\/p><\/li><li data-start=\"1312\" data-end=\"1320\"><p data-start=\"1314\" data-end=\"1320\">Cone<\/p><\/li><li data-start=\"1321\" data-end=\"1331\"><p data-start=\"1323\" data-end=\"1331\">Sphere<\/p><\/li><li data-start=\"1332\" data-end=\"1346\"><p data-start=\"1334\" data-end=\"1346\">Hemisphere<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-2066441 e-flex e-con-boxed e-con e-parent\" data-id=\"2066441\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6398f41 elementor-widget elementor-widget-text-editor\" data-id=\"6398f41\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 data-start=\"1353\" data-end=\"1392\"><strong data-start=\"1356\" data-end=\"1390\">5.Trigonometry (\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f)<\/strong><\/h4><ul data-start=\"1393\" data-end=\"1546\"><li data-start=\"1393\" data-end=\"1417\"><p data-start=\"1395\" data-end=\"1417\">Trigonometric Ratios<\/p><\/li><li data-start=\"1418\" data-end=\"1446\"><p data-start=\"1420\" data-end=\"1446\">Trigonometric Identities<\/p><\/li><li data-start=\"1447\" data-end=\"1468\"><p data-start=\"1449\" data-end=\"1468\">Height &amp; Distance<\/p><\/li><li data-start=\"1469\" data-end=\"1493\"><p data-start=\"1471\" data-end=\"1493\">Complementary Angles<\/p><\/li><li data-start=\"1494\" data-end=\"1521\"><p data-start=\"1496\" data-end=\"1521\">Trigonometric Equations<\/p><\/li><li data-start=\"1522\" data-end=\"1546\"><p data-start=\"1524\" data-end=\"1546\">Inverse Trigonometry<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-937f13a e-flex e-con-boxed e-con e-parent\" data-id=\"937f13a\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d34eadd elementor-widget elementor-widget-text-editor\" data-id=\"d34eadd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 data-start=\"1553\" data-end=\"1588\"><strong data-start=\"1556\" data-end=\"1586\">6.Statistics (\u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940)<\/strong><\/h4><ul data-start=\"1589\" data-end=\"1694\"><li data-start=\"1589\" data-end=\"1611\"><p data-start=\"1591\" data-end=\"1611\">Mean, Median, Mode<\/p><\/li><li data-start=\"1612\" data-end=\"1621\"><p data-start=\"1614\" data-end=\"1621\">Range<\/p><\/li><li data-start=\"1622\" data-end=\"1644\"><p data-start=\"1624\" data-end=\"1644\">Standard Deviation<\/p><\/li><li data-start=\"1645\" data-end=\"1660\"><p data-start=\"1647\" data-end=\"1660\">Probability<\/p><\/li><li data-start=\"1661\" data-end=\"1694\"><p data-start=\"1663\" data-end=\"1694\">Graphs (Bar, Line, Pie Chart)<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-320a0ee e-flex e-con-boxed e-con e-parent\" data-id=\"320a0ee\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-bb97b22 elementor-widget elementor-widget-text-editor\" data-id=\"bb97b22\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 data-start=\"2085\" data-end=\"2141\"><strong data-start=\"2088\" data-end=\"2139\">9.Logical Mathematics \/ Reasoning Based Maths<\/strong><\/h4><ul data-start=\"2142\" data-end=\"2229\"><li data-start=\"2142\" data-end=\"2159\"><p data-start=\"2144\" data-end=\"2159\">Number Series<\/p><\/li><li data-start=\"2160\" data-end=\"2179\"><p data-start=\"2162\" data-end=\"2179\">Missing Numbers<\/p><\/li><li data-start=\"2180\" data-end=\"2202\"><p data-start=\"2182\" data-end=\"2202\">Puzzle-Based Maths<\/p><\/li><li data-start=\"2203\" data-end=\"2229\"><p data-start=\"2205\" data-end=\"2229\">Mathematical Reasoning<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>1.Arithmetic (\u0905\u0902\u0915\u0917\u0923\u093f\u0924) Number System HCF &amp; LCM Simplification Square &amp; Cube \/ Roots Ratio &amp; Proportion Percentage Profit &amp; Loss Discount Simple Interest (SI) Compound Interest (CI) Average Time &amp; Work Time, Speed &amp; Distance Boats &amp; Streams Pipes &amp; Cistern Partnership Mixture &amp; Alligation Mensuration (2D &amp; 3D) Data Interpretation (DI)\u00a0 2.Algebra (\u092c\u0940\u091c\u0917\u0923\u093f\u0924) Algebraic [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1394,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-1604","page","type-page","status-publish","hentry"],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"trp-custom-language-flag":false},"uagb_author_info":{"display_name":"learnhubshiksha","author_link":"https:\/\/learnhubshiksha.com\/hi\/author\/mandadeg91gmail-com\/"},"uagb_comment_info":0,"uagb_excerpt":"1.Arithmetic (\u0905\u0902\u0915\u0917\u0923\u093f\u0924) Number System HCF &amp; LCM Simplification Square &amp; Cube \/ Roots Ratio &amp; Proportion Percentage Profit &amp; Loss Discount Simple Interest (SI) Compound Interest (CI) Average Time &amp; Work Time, Speed &amp; Distance Boats &amp; Streams Pipes &amp; Cistern Partnership Mixture &amp; Alligation Mensuration (2D &amp; 3D) Data Interpretation (DI)\u00a0 2.Algebra (\u092c\u0940\u091c\u0917\u0923\u093f\u0924) Algebraic&hellip;","_links":{"self":[{"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/pages\/1604","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/comments?post=1604"}],"version-history":[{"count":55,"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/pages\/1604\/revisions"}],"predecessor-version":[{"id":1664,"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/pages\/1604\/revisions\/1664"}],"up":[{"embeddable":true,"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/pages\/1394"}],"wp:attachment":[{"href":"https:\/\/learnhubshiksha.com\/hi\/wp-json\/wp\/v2\/media?parent=1604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}