{"id":618,"date":"2026-09-30T15:17:01","date_gmt":"2026-09-30T15:17:01","guid":{"rendered":"https:\/\/academic.pargaidefenceacademy.in\/class-6th\/?p=618"},"modified":"2026-09-30T15:35:50","modified_gmt":"2026-09-30T15:35:50","slug":"ch-1-patterns-in-mathematics","status":"publish","type":"post","link":"https:\/\/academic.pargaidefenceacademy.in\/class-6th\/2026\/09\/30\/ch-1-patterns-in-mathematics\/","title":{"rendered":"Ch &#8211; \u0967, Patterns in Mathematics &#8211; \u092a\u0948\u091f\u0930\u094d\u0928"},"content":{"rendered":"<div id=\"pl-618\"  class=\"panel-layout\" ><div id=\"pg-618-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-618-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-618-0-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"0\" ><div class=\"textwidget custom-html-widget\"><div id=\"AGNIVEER-CH1-MATH-FIXED-HINDI-UK\" style=\"max-width:850px;margin:15px auto;border:3px solid #4a148c;border-radius:16px;overflow:hidden;font-family:'Noto Sans Devanagari',Arial,sans-serif;background:#fff;height:620px;display:flex;flex-direction:column;box-shadow:0 4px 15px rgba(0,0,0,0.2);\">\n<div style=\"background:linear-gradient(90deg,#4a148c,#7b1fa2);padding:12px;text-align:center;flex-shrink:0;\">\n<div style=\"display:inline-block;background:#fff;color:#4a148c;padding:7px 18px;border-radius:25px;font-weight:bold;font-size:13px;\">\ud83d\udd22 \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 - \u0915\u0915\u094d\u0937\u093e 6 \u0917\u0923\u093f\u0924 - \u0905\u0927\u094d\u092f\u093e\u092f 1 - \u092a\u0948\u091f\u0930\u094d\u0928<\/div>\n<div style=\"color:#e1bee7;font-weight:bold;font-size:11px;margin-top:4px;\">Patterns in Mathematics - \u0909\u0924\u094d\u0924\u0930\u093e\u0916\u0902\u0921 \u0917\u0923\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 - \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926 - Class Wise<\/div>\n<\/div>\n\n<div id=\"ch1MathMainUK\" style=\"flex:1;overflow-y:auto;overflow-x:hidden;background:#f3e5f5;-webkit-overflow-scrolling:touch;\">\n\n<!-- Page 1 -->\n<div id=\"ch1mp1h\" style=\"display:block;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;margin-bottom:12px;\">\ud83d\udcd6 \u092d\u093e\u0917 1\/5 - \u0917\u0923\u093f\u0924 \u0915\u094d\u092f\u093e \u0939\u0948 - \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926<\/div>\n<div style=\"background:#fff;border-left:6px solid #4a148c;border-radius:10px;padding:14px;box-shadow:0 2px 8px rgba(0,0,0,0.1);\">\n<p style=\"margin:0 0 8px;font-weight:bold;color:#4a148c;font-size:13px;\">\u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u0939\u0948 - Mathematics is, in large part, the search for patterns, and for the explanations as to why those patterns exist<\/p>\n<div style=\"font-size:12px;line-height:1.7;font-weight:500;\">\n<p style=\"margin:0 0 6px;\">\u2705 <b>\u0917\u0923\u093f\u0924 \u0915\u094d\u092f\u093e \u0939\u0948:<\/b> \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u0940 \u0916\u094b\u091c \u0914\u0930 \u0909\u0928 \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e Explanation - \u092a\u0948\u091f\u0930\u094d\u0928 \u0939\u092e\u093e\u0930\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 - \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u092e\u0947\u0902 Nature, \u0918\u0930\u094b\u0902 \u092e\u0947\u0902 Homes, \u0938\u094d\u0915\u0942\u0932\u094b\u0902 \u092e\u0947\u0902 Schools, \u0938\u0942\u0930\u094d\u092f \u091a\u0902\u0926\u094d\u0930\u092e\u093e \u0924\u093e\u0930\u094b\u0902 \u0915\u0940 \u0917\u0924\u093f Motion of sun moon stars \u092e\u0947\u0902 - Shopping Cooking, Ball \u092b\u0947\u0902\u0915\u0928\u093e Playing games, Weather patterns \u092e\u094c\u0938\u092e \u0915\u0947 \u092a\u0948\u091f\u0930\u094d\u0928, Technology \u0924\u0915\u0928\u0940\u0915 \u092e\u0947\u0902 - \u0916\u094b\u091c \u092e\u091c\u093c\u0947\u0926\u093e\u0930 \u0930\u091a\u0928\u093e\u0924\u094d\u092e\u0915 Fun creative - \u0915\u0932\u093e \u0914\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0926\u094b\u0928\u094b\u0902 Art and science<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>\u0915\u094d\u092f\u094b\u0902 \u091c\u0930\u0942\u0930\u0940:<\/b> \u0938\u093f\u0930\u094d\u092b \u0915\u094d\u092f\u093e \u092a\u0948\u091f\u0930\u094d\u0928 \u0939\u0948 \u092f\u0939 \u0928\u0939\u0940\u0902, \u0915\u094d\u092f\u094b\u0902 \u0939\u0948 \u092f\u0939 \u092d\u0940 - \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e Applications \u092e\u0947\u0902 \u092e\u093e\u0928\u0935\u0924\u093e \u0915\u094b \u0906\u0917\u0947 \u092c\u0922\u093c\u093e\u0924\u0940 Propel humanity forward - \u0924\u093e\u0930\u094b\u0902 \u0917\u094d\u0930\u0939\u094b\u0902 \u0909\u092a\u0917\u094d\u0930\u0939\u094b\u0902 \u0915\u0947 \u092a\u0948\u091f\u0930\u094d\u0928 \u0938\u0947 Gravitation \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 - Satellite \u0909\u092a\u0917\u094d\u0930\u0939 Moon Mars \u0924\u0915 \u0930\u0949\u0915\u0947\u091f - Genomes \u091c\u0940\u0928\u094b\u092e \u092a\u0948\u091f\u0930\u094d\u0928 \u0938\u0947 \u092c\u0940\u092e\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u093e \u0928\u093f\u0926\u093e\u0928 \u0907\u0932\u093e\u091c Diagnosing curing diseases - \u0939\u091c\u093e\u0930\u094b\u0902 \u0909\u0926\u093e\u0939\u0930\u0923<\/p>\n<p style=\"margin:0;\">\u2705 <b>\u0930\u094b\u091c\u092e\u0930\u094d\u0930\u093e \u092e\u0947\u0902:<\/b> Budgeting Shopping Discount Price Compare Expense, Cooking Baking Measurements Proportions Timing, Time management Schedule Travel time Task estimate, Traffic Daily routines - \u0939\u0930 \u091c\u0917\u0939 \u0917\u0923\u093f\u0924 - Figure it Out 1,2 - Everyday lives Scientific experiments Economy Democracy Bridges Houses Complex structures TV Mobile Computer Bicycle Train Car Plane Calendar Clock<\/p>\n<\/div>\n<div style=\"background:#f3e5f5;border-radius:6px;padding:8px;margin-top:10px;font-size:11px;font-weight:bold;text-align:center;\">\ud83c\udfaf \u0909\u0924\u094d\u0924\u0930\u093e\u0916\u0902\u0921 - Mathematics = search for patterns + explanations why - Art and Science - \u092f\u093e\u0926 \u0930\u0916\u094b!<\/div>\n<\/div>\n<\/div>\n\n<!-- Page 2 -->\n<div id=\"ch1mp2h\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;margin-bottom:12px;\">\ud83d\udcd6 \u092d\u093e\u0917 2\/5 - \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u092a\u0948\u091f\u0930\u094d\u0928 - \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926<\/div>\n<div style=\"background:#fff;border-left:6px solid #0d47a1;border-radius:10px;padding:14px;box-shadow:0 2px 8px rgba(0,0,0,0.1);\">\n<p style=\"margin:0 0 8px;font-weight:bold;color:#0d47a1;font-size:13px;\">\u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u0939\u0948 - Among most basic patterns are patterns of numbers, particularly whole numbers 0,1,2,3... Branch called number theory - Number sequences most fascinating<\/p>\n<div style=\"font-size:12px;line-height:1.7;font-weight:500;\">\n<p style=\"margin:0 0 6px;\">\u2705 <b>Table 1 - Key number sequences:<\/b><br>\n1,1,1,1,1... (All 1's \u0938\u092c \u090f\u0915)<br>\n1,2,3,4,5,6,7... (Counting numbers \u0917\u093f\u0928\u0924\u0940)<br>\n1,3,5,7,9,11,13... (Odd numbers \u0935\u093f\u0937\u092e)<br>\n2,4,6,8,10,12,14... (Even numbers \u0938\u092e)<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>\u0914\u0930 sequences:<\/b><br>\n1,3,6,10,15,21,28... (Triangular numbers \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f - Dots \u0938\u0947 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 \u092c\u0928\u0924\u093e Triangle arrangement)<br>\n1,4,9,16,25,36,49... (Squares \u0935\u0930\u094d\u0917 - Dots \u0938\u0947 \u0935\u0930\u094d\u0917 Square arrangement)<br>\n1,8,27,64,125,216... (Cubes \u0918\u0928 - 3D \u092e\u0947\u0902 Cube \u092c\u0928\u0924\u093e)<br>\n1,2,3,5,8,13,21... (Virahanka numbers \u0935\u093f\u0930\u0939\u093e\u0902\u0915 - Fibonacci - 13\u0935\u0940\u0902 \u0938\u0926\u0940 \u0906\u091a\u093e\u0930\u094d\u092f \u0935\u093f\u0930\u0939\u093e\u0902\u0915 - \u092a\u0939\u0932\u0947 \u0926\u094b \u091c\u094b\u0921\u093c \u0905\u0917\u0932\u093e)<br>\n1,2,4,8,16,32,64... (Powers of 2 - 2 \u0915\u0940 \u0918\u093e\u0924 - Computing \u092e\u0947\u0902 Foundation)<br>\n1,3,9,27,81,243,729... (Powers of 3 - 3 \u0915\u0940 \u0918\u093e\u0924)<\/p>\n<p style=\"margin:0;\">\u2705 <b>\u092a\u0939\u091a\u093e\u0928\u094b \u092a\u0948\u091f\u0930\u094d\u0928:<\/b> Figure it Out - Can you recognise pattern in each sequences - Describe in words \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0935\u0930\u094d\u0923\u0928 \u091c\u0930\u0942\u0930\u0940 - \u0938\u093f\u0930\u094d\u092b \u0906\u0917\u0947 \u092c\u0922\u093c\u093e\u0928\u093e \u0928\u0939\u0940\u0902 - Logical reasoning \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0938\u094b\u091a<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<!-- Page 3 -->\n<div id=\"ch1mp3h\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;margin-bottom:12px;\">\ud83d\udcd6 \u092d\u093e\u0917 3\/5 - \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 - \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926<\/div>\n<div style=\"background:#fff;border-left:6px solid #2e7d32;border-radius:10px;padding:14px;box-shadow:0 2px 8px rgba(0,0,0,0.1);\">\n<p style=\"margin:0 0 8px;font-weight:bold;color:#2e7d32;font-size:13px;\">\u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u0939\u0948 - Visualizing sequences helps understanding - Sum of odd numbers gives square numbers - Relations among sequences<\/p>\n<div style=\"font-size:12px;line-height:1.7;font-weight:500;\">\n<p style=\"margin:0 0 6px;\">\u2705 <b>Visualize \u0915\u0930\u0928\u093e:<\/b> Diagrams \u0938\u0947 \u0938\u092e\u091d \u0906\u0938\u093e\u0928 - Dots \u0938\u0947 \u0938\u092e\u091d\u094b - Triangular dots \u0938\u0947 \u0924\u094d\u0930\u093f\u0915\u094b\u0923, Square dots \u0938\u0947 \u0935\u0930\u094d\u0917 - Visual aid Complex sequences Relations \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>Odd \u0938\u0947 Square:<\/b> \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092f\u094b\u0917 \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u0924\u093e - Sum of odd numbers gives square numbers<br>\n1 = 1 = 1\u00b2<br>\n1+3 = 4 = 2\u00b2<br>\n1+3+5 = 9 = 3\u00b2<br>\n1+3+5+7 = 16 = 4\u00b2<br>\n1+3+5+7+9 = 25 = 5\u00b2 - Strong pattern in addition<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u0915\u0928\u0947\u0915\u094d\u0936\u0928:<\/b> Number Series Reasoning \u092e\u0947\u0902 \u092f\u0939\u0940 \u092a\u0948\u091f\u0930\u094d\u0928 \u092a\u0942\u091b\u093e \u091c\u093e\u0924\u093e \u0939\u0948 - 1,3,6,10,15 \u0915\u094d\u092f\u093e \u0906\u090f\u0917\u093e? - Triangular +3,+4,+5 - 1,4,9,16 \u0905\u0917\u0932\u093e? 25 Square - 1,2,4,8 \u0905\u0917\u0932\u093e? 16 Powers of 2 - 1,2,3,5,8 \u0905\u0917\u0932\u093e? 13 Virahanka - \u0939\u0930 \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u093e Rule \u0928\u093f\u092f\u092e Predictable way \u0926\u094b\u0939\u0930\u093e\u0924\u093e Develops<\/p>\n<p style=\"margin:0;\">\u2705 <b>Rule:<\/b> Pattern is rule arrangement repeats develops predictable way - Once rule identify, what comes next and why explain - Describing explaining pattern<\/p>\n<\/div>\n<div style=\"background:#e8f5e9;border-radius:6px;padding:8px;margin-top:10px;font-size:11px;font-weight:bold;text-align:center;\">\ud83c\udfaf Sum of odd = Square - 1+3+5=9 - \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 Number Series \u0915\u093e \u092c\u0947\u0938!<\/div>\n<\/div>\n<\/div>\n\n<!-- Page 4 -->\n<div id=\"ch1mp4h\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;margin-bottom:12px;\">\ud83d\udcd6 \u092d\u093e\u0917 4\/5 - \u0906\u0915\u0943\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u092a\u0948\u091f\u0930\u094d\u0928 - \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926<\/div>\n<div style=\"background:#fff;border-left:6px solid #bf360c;border-radius:10px;padding:14px;box-shadow:0 2px 8px rgba(0,0,0,0.1);\">\n<p style=\"margin:0 0 8px;font-weight:bold;color:#bf360c;font-size:13px;\">\u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u0939\u0948 - Shape patterns studied in geometry - Regular polygons triangles to decagons - Complete graphs - Stacked triangles squares - Koch snowflake fractal<\/p>\n<div style=\"font-size:12px;line-height:1.7;font-weight:500;\">\n<p style=\"margin:0 0 6px;\">\u2705 <b>Shape patterns \u0906\u0915\u0943\u0924\u093f \u092a\u0948\u091f\u0930\u094d\u0928:<\/b> Number \u0915\u0947 \u092c\u093e\u0926 Shape sequences - Growing \u0914\u0930 Repeating patterns \u092c\u0922\u093c\u0924\u0947 \u0914\u0930 \u0926\u094b\u0939\u0930\u093e\u0924\u0947 \u092a\u0948\u091f\u0930\u094d\u0928 - Shapes can form sequences - Stacked triangles and squares - Shapes arranged specific rules - Identify Repeating Growing - Logical thinking Spatial reasoning \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0938\u094b\u091a \u0938\u094d\u0925\u093e\u0928\u093f\u0915 \u0924\u0930\u094d\u0915<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>Regular polygons \u0928\u093f\u092f\u092e\u093f\u0924 \u092c\u0939\u0941\u092d\u0941\u091c:<\/b> Triangle 3 sides \u0938\u0947 Decagon 10 sides \u0924\u0915 Sides \u092c\u0922\u093c\u0924\u0947 - Equilateral triangle Square Pentagon Hexagon Heptagon Octagon Nonagon Decagon - Regular \u092e\u0924\u0932\u092c \u0938\u092c sides angles equal - Shape pattern \u0915\u093e \u092c\u0947\u0938<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>Complete graphs \u092a\u0942\u0930\u093e \u0917\u094d\u0930\u093e\u092b:<\/b> \u0938\u092d\u0940 Points \u091c\u0941\u0921\u093c\u0947 - Dots \u0915\u094b lines \u0938\u0947 \u091c\u094b\u0921\u093c\u0928\u093e - Stacked squares triangles \u090f\u0915 \u092a\u0930 \u090f\u0915 \u0930\u0916\u0947 \u0935\u0930\u094d\u0917 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 - Growing pattern<\/p>\n<p style=\"margin:0;\">\u2705 <b>Koch snowflake \u0915\u094b\u091a \u0939\u093f\u092e\u0915\u0923:<\/b> Fractal \u092b\u094d\u0930\u0948\u0915\u094d\u091f\u0932 - Iterative patterning \u0926\u094b\u0939\u0930\u093e\u0935 \u0938\u0947 \u091c\u091f\u093f\u0932 \u0906\u0915\u0943\u0924\u093f Complex shapes Definite boundaries \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0940\u092e\u093e - \u0939\u0930 iteration \u092e\u0947\u0902 \u0928\u092f\u093e pattern - Snowflake \u091c\u0948\u0938\u093e - Nature \u092e\u0947\u0902 petals flowers Tiled design \u092b\u0942\u0932\u094b\u0902 \u0915\u0940 \u092a\u0902\u0916\u0941\u0921\u093c\u093f\u092f\u093e\u0902 \u091f\u093e\u0907\u0932 \u0921\u093f\u091c\u093e\u0907\u0928 \u092e\u0947\u0902 \u092d\u0940 pattern - Art Architecture \u092e\u0947\u0902<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<!-- Page 5 -->\n<div id=\"ch1mp5h\" style=\"display:none;padding:16px;\">\n<div style=\"background:#b71c1c;color:#fff;display:inline-block;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;margin-bottom:12px;\">\ud83d\udcdd \u092d\u093e\u0917 5\/5 - \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u0915\u0947 \u0932\u093f\u090f \u092e\u0939\u0924\u094d\u0935 - \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926<\/div>\n<div style=\"background:#fff;border-left:6px solid #b71c1c;border-radius:10px;padding:14px;box-shadow:0 2px 8px rgba(0,0,0,0.1);\">\n<p style=\"margin:0 0 8px;font-weight:bold;color:#b71c1c;font-size:13px;\">\u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u0939\u0948 - Chapter builds logical thinking problem-solving creativity - Foundation for shapes numbers visual math useful in higher classes competitive exams later<\/p>\n<div style=\"font-size:12px;line-height:1.6;font-weight:500;\">\n<p style=\"margin:0 0 6px;\">\u2705 <b>\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 \u0915\u094d\u092f\u094b\u0902 \u091c\u0930\u0942\u0930\u0940:<\/b> Maths \u0938\u093f\u0930\u094d\u092b Calculation \u0928\u0939\u0940\u0902 Finding Describing Explaining patterns \u092d\u0940 - Pattern Rule Arrangement repeats develops predictable way - Number sequences Shapes Games Calendars Nature Art Architecture - Petals Flowers Tiled design Odd numbers - Noticing \u0938\u0947 Describing mathematically \u0924\u0915 - Builds logical reasoning skills \u0938\u092d\u0940 \u092c\u093e\u0926 \u0915\u0947 \u0905\u0927\u094d\u092f\u093e\u092f\u094b\u0902 \u0915\u093e \u0906\u0927\u093e\u0930<\/p>\n<p style=\"margin:0 0 6px;\">\u2705 <b>\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 Reasoning:<\/b> Number Series, Shape Series, Calendar pattern - \u0938\u092c \u0907\u0938\u0940 \u091a\u0948\u092a\u094d\u091f\u0930 \u0915\u093e Extension - Describing pattern in words \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0935\u0930\u094d\u0923\u0928 - Careful observation \u0938\u093e\u0935\u0927\u093e\u0928\u0940\u092a\u0942\u0930\u094d\u0935\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 - Future competitive exams later \u0915\u0947 \u0932\u093f\u090f Strong foundation - Higher classes \u092e\u0947\u0902 Algebra Geometry Data handling \u092e\u0947\u0902 Expand<\/p>\n<p style=\"margin:0 0 6px;\"><b>\u092a\u094d\u0930\u0936\u094d\u0928 1.<\/b> \u0917\u0923\u093f\u0924 \u0915\u094d\u092f\u093e \u0939\u0948? <span style=\"background:#ffebee;padding:2px 6px;border-radius:4px;\">Search for patterns and explanations why patterns exist - Art and Science - Nature Homes Schools Sun Moon Stars Shopping Cooking Games Weather Technology - Gravitation Satellite Genomes<\/span><\/p>\n<p style=\"margin:0 0 6px;\"><b>\u092a\u094d\u0930\u0936\u094d\u0928 2.<\/b> Virahanka numbers \u0915\u094d\u092f\u093e? <span style=\"background:#ffebee;padding:2px 6px;border-radius:4px;\">1,2,3,5,8,13,21... \u092a\u0939\u0932\u0947 \u0926\u094b \u091c\u094b\u0921\u093c \u0905\u0917\u0932\u093e - 13\u0935\u0940\u0902 \u0938\u0926\u0940 \u0906\u091a\u093e\u0930\u094d\u092f \u0935\u093f\u0930\u0939\u093e\u0902\u0915 - Fibonacci<\/span><\/p>\n<p style=\"margin:0;\"><b>\u092a\u094d\u0930\u0936\u094d\u0928 3.<\/b> Odd \u0938\u0947 Square \u0915\u0948\u0938\u0947? <span style=\"background:#ffebee;padding:2px 6px;border-radius:4px;\">1=1\u00b2 1+3=4=2\u00b2 1+3+5=9=3\u00b2 - Visual dots triangle square cube - Powers of 2 1,2,4,8,16 Computing foundation<\/span><\/p>\n<\/div>\n<div style=\"background:#4a148c;color:#fff;text-align:center;padding:8px;border-radius:8px;font-weight:bold;font-size:11px;margin-top:12px;\">\u2705 \u092a\u0942\u0930\u0947 \u0936\u092c\u094d\u0926 \u0915\u093f\u0924\u093e\u092c \u0938\u0947 - \u0909\u0924\u094d\u0924\u0930\u093e\u0916\u0902\u0921 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 - Odd Even Triangular Square Cube Virahanka Powers - \u092c\u093e\u0939\u0930 \u0915\u093e \u0936\u092c\u094d\u0926 \u0928\u0939\u0940\u0902!<\/div>\n<\/div>\n<\/div>\n\n<\/div>\n\n<div style=\"display:flex;justify-content:space-between;align-items:center;padding:12px 14px;background:#e1bee7;border-top:3px solid #4a148c;flex-shrink:0;\">\n<button type=\"button\" onclick=\"ch1MathPrevHUK();return false;\" style=\"background:#546e7a;color:#fff;border:none;padding:10px 18px;border-radius:25px;font-weight:bold;font-size:13px;cursor:pointer;touch-action:manipulation;\">\u2190 \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch1MathInfoHUK\" style=\"background:#fff;border:2px solid #4a148c;color:#4a148c;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;\">1 \/ 5<\/span>\n<button type=\"button\" onclick=\"ch1MathNextHUK();return false;\" style=\"background:#4a148c;color:#fff;border:none;padding:10px 18px;border-radius:25px;font-weight:bold;font-size:13px;cursor:pointer;touch-action:manipulation;\">\u0906\u0917\u0947 \u2192<\/button>\n<\/div>\n\n<\/div>\n<script>\n(function(){\nvar cur=1; var total=5;\nwindow.ch1MathShowHUK=function(n){\nfor(var i=1;i<=total;i++){var el=document.getElementById('ch1mp'+i+'h'); if(el) el.style.display='none';}\nvar c=document.getElementById('ch1mp'+n+'h'); if(c) c.style.display='block';\nvar info=document.getElementById('ch1MathInfoHUK'); if(info) info.innerHTML=n+' \/ '+total;\nvar main=document.getElementById('ch1MathMainUK'); if(main) main.scrollTop=0;\ncur=n;\n};\nwindow.ch1MathNextHUK=function(){var n=cur+1; if(n>total) n=1; window.ch1MathShowHUK(n);};\nwindow.ch1MathPrevHUK=function(){var n=cur-1; if(n<1) n=total; window.ch1MathShowHUK(n);};\nwindow.ch1MathShowHUK(1);\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-618-1\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-618-1-0\"  class=\"panel-grid-cell\" ><div id=\"panel-618-1-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"1\" ><div class=\"textwidget custom-html-widget\"><div id=\"AGNIVEER-CH1-MCQ-FIXED-V2\" style=\"max-width:850px;margin:15px auto;border:3px solid #4a148c;border-radius:16px;overflow:hidden;font-family:'Noto Sans Devanagari',Arial,sans-serif;background:#fff;height:650px;display:flex;flex-direction:column;box-shadow:0 4px 15px rgba(0,0,0,0.2);\">\n<div style=\"background:linear-gradient(90deg,#4a148c,#7b1fa2);padding:12px;text-align:center;flex-shrink:0;\">\n<div style=\"display:inline-block;background:#fff;color:#4a148c;padding:7px 18px;border-radius:25px;font-weight:bold;font-size:13px;\">\ud83d\udd22 \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 - \u0905\u0927\u094d\u092f\u093e\u092f 1 - 10 \u092a\u094d\u0930\u0936\u094d\u0928 - \u092a\u0948\u091f\u0930\u094d\u0928<\/div>\n<div style=\"color:#e1bee7;font-weight:bold;font-size:11px;margin-top:4px;\">\u0909\u0924\u094d\u0924\u0930\u093e\u0916\u0902\u0921 \u0939\u093f\u0902\u0926\u0940 - Fix V2 - \u092a\u094d\u0930\u0936\u094d\u0928 \u0905\u092c \u0916\u093f\u0938\u0915\u0947\u0917\u093e<\/div>\n<\/div>\n<div id=\"mainCh1FixV2\" style=\"flex:1;overflow-y:auto;overflow-x:hidden;background:#f3e5f5;-webkit-overflow-scrolling:touch;\">\n\n<div id=\"c1q1v2\" style=\"display:block;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 1\/10 - \u0917\u0923\u093f\u0924 \u0915\u094d\u092f\u093e \u0939\u0948<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 1. \u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0917\u0923\u093f\u0924 \u0915\u094d\u092f\u093e \u0939\u0948?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u0940 \u0916\u094b\u091c \u0914\u0930 \u0909\u0928 \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u094d\u092f\u094b\u0902 \u092e\u094c\u091c\u0942\u0926 \u0939\u0948\u0902 - \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u0918\u0930 \u0938\u094d\u0915\u0942\u0932 \u0938\u0942\u0930\u094d\u092f \u091a\u0902\u0926\u094d\u0930\u092e\u093e \u0924\u093e\u0930\u0947 \u0916\u0930\u0940\u0926\u0926\u093e\u0930\u0940 \u0916\u093e\u0928\u093e \u092c\u0928\u093e\u0928\u093e \u0917\u0947\u0902\u0926 \u0916\u0947\u0932\u0928\u093e \u092e\u094c\u0938\u092e \u0924\u0915\u0928\u0940\u0915 \u092e\u0947\u0902 - \u092e\u091c\u093c\u0947\u0926\u093e\u0930 \u0930\u091a\u0928\u093e\u0924\u094d\u092e\u0915 \u0915\u0932\u093e \u0914\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0926\u094b\u0928\u094b\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0938\u093f\u0930\u094d\u092b \u091c\u094b\u0921\u093c \u0918\u091f\u093e\u0935<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0915\u094b\u0908 \u092a\u0948\u091f\u0930\u094d\u0928 \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0938\u093f\u0930\u094d\u092b \u0915\u093f\u0924\u093e\u092c \u092a\u0922\u093c\u0928\u093e<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Search for patterns and explanations why - Fun creative Art and Science<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q2v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 2\/10 - \u092b\u093e\u092f\u0926\u093e<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 2. \u092a\u0948\u091f\u0930\u094d\u0928 \u0938\u092e\u091d\u0928\u0947 \u0938\u0947 \u0915\u094d\u092f\u093e \u092b\u093e\u092f\u0926\u093e?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u0924\u093e\u0930\u094b\u0902 \u0917\u094d\u0930\u0939\u094b\u0902 \u0909\u092a\u0917\u094d\u0930\u0939\u094b\u0902 \u0915\u0947 \u092a\u0948\u091f\u0930\u094d\u0928 \u0938\u0947 \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 - \u0909\u092a\u0917\u094d\u0930\u0939 \u091a\u093e\u0901\u0926 \u092e\u0902\u0917\u0932 \u0924\u0915 \u0930\u0949\u0915\u0947\u091f - \u091c\u0940\u0928\u094b\u092e \u0938\u0947 \u092c\u0940\u092e\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u093e \u0928\u093f\u0926\u093e\u0928 \u0907\u0932\u093e\u091c - \u0939\u091c\u093e\u0930\u094b\u0902 \u0909\u0926\u093e\u0939\u0930\u0923 - \u092e\u093e\u0928\u0935\u0924\u093e \u0915\u094b \u0906\u0917\u0947 \u092c\u0922\u093c\u093e\u0928\u093e<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0915\u094b\u0908 \u092b\u093e\u092f\u0926\u093e \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0938\u093f\u0930\u094d\u092b \u0916\u0947\u0932<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0938\u092e\u092f \u092c\u0930\u094d\u092c\u093e\u0926<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Gravitation satellites Moon Mars genomes<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q3v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 3\/10 - \u092c\u0941\u0928\u093f\u092f\u093e\u0926\u0940 \u0915\u094d\u0930\u092e<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 3. \u092c\u0941\u0928\u093f\u092f\u093e\u0926\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094d\u0930\u092e?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u0938\u092c \u090f\u0915 1,1,1 \u0917\u093f\u0928\u0924\u0940 1,2,3 \u0935\u093f\u0937\u092e 1,3,5 \u0938\u092e 2,4,6 - \u0938\u092c\u0938\u0947 \u092c\u0941\u0928\u093f\u092f\u093e\u0926\u0940<\/div>\n<div style=\"padding:6px 10px;\">\u0916) 10,20,30<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0915\u094b\u0908 \u0915\u094d\u0930\u092e \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0909\u0932\u094d\u091f\u093e \u0915\u094d\u0930\u092e<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Counting Odd Even All 1's<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q4v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 4\/10 - \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0935\u0930\u094d\u0917 \u0918\u0928<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 4. \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0935\u0930\u094d\u0917 \u0918\u0928 \u0915\u094d\u092f\u093e \u0939\u0948\u0902?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f 1,3,6,10,15,21 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0938\u0947 \u0924\u094d\u0930\u093f\u0915\u094b\u0923, \u0935\u0930\u094d\u0917 1,4,9,16,25 \u0935\u0930\u094d\u0917, \u0918\u0928 1,8,27,64 \u0924\u0940\u0928 \u0906\u092f\u093e\u092e \u092e\u0947\u0902 Cube - \u091a\u093f\u0924\u094d\u0930 \u0938\u0947 \u0938\u092e\u091d<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0938\u092c \u090f\u0915 \u091c\u0948\u0938\u0947<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0909\u0932\u094d\u091f\u0947<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Visualizing helps - Reasoning \u092e\u0947\u0902 \u092a\u0942\u091b\u093e \u091c\u093e\u0924\u093e!<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q5v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 5\/10 - \u0935\u093f\u0930\u0939\u093e\u0902\u0915<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 5. \u0935\u093f\u0930\u0939\u093e\u0902\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) 1,2,3,5,8,13,21 \u092a\u0939\u0932\u0947 \u0926\u094b \u091c\u094b\u0921\u093c \u0905\u0917\u0932\u093e - 13\u0935\u0940\u0902 \u0938\u0926\u0940 \u0906\u091a\u093e\u0930\u094d\u092f \u0935\u093f\u0930\u0939\u093e\u0902\u0915 - \u092b\u093f\u092c\u094b\u0928\u093e\u091a\u0940<\/div>\n<div style=\"padding:6px 10px;\">\u0916) 1,2,3,4,5<\/div>\n<div style=\"padding:6px 10px;\">\u0917) 2,4,6,8<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0915\u094b\u0908 \u092a\u0948\u091f\u0930\u094d\u0928 \u0928\u0939\u0940\u0902<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Number Series \u092e\u0947\u0902 \u092a\u0942\u091b\u093e \u091c\u093e\u0924\u093e - \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 POINT!<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q6v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 6\/10 - 2 \u0915\u0940 \u0918\u093e\u0924<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 6. 2 \u0915\u0940 \u0918\u093e\u0924 \u0915\u093e \u0915\u094d\u0930\u092e?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) 1,2,4,8,16,32,64 \u092c\u0922\u093c\u0924\u0940 \u0918\u093e\u0924 - \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u093f\u0902\u0917 \u092e\u0947\u0902 \u092c\u0941\u0928\u093f\u092f\u093e\u0926 - 3 \u0915\u0940 \u0918\u093e\u0924 1,3,9,27,81<\/div>\n<div style=\"padding:6px 10px;\">\u0916) 1,3,5,7<\/div>\n<div style=\"padding:6px 10px;\">\u0917) 2,3,4,5<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0915\u094b\u0908 \u0915\u094d\u0930\u092e \u0928\u0939\u0940\u0902<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Powers of 2 - computing foundation<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q7v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 7\/10 - \u0935\u093f\u0937\u092e \u0938\u0947 \u0935\u0930\u094d\u0917<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 7. \u0935\u093f\u0937\u092e \u091c\u094b\u0921\u093c \u0938\u0947 \u0915\u094d\u092f\u093e \u092c\u0928\u0924\u093e?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u0935\u0930\u094d\u0917 - 1=1\u00b2 1+3=4=2\u00b2 1+3+5=9=3\u00b2 1+3+5+7=16=4\u00b2 - \u091c\u094b\u0921\u093c \u092e\u0947\u0902 \u092e\u091c\u092c\u0942\u0924 \u092a\u0948\u091f\u0930\u094d\u0928<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0918\u0928<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0915\u0941\u091b \u0928\u0939\u0940\u0902<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Sum of odd = Square<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q8v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 8\/10 - \u0906\u0915\u0943\u0924\u093f \u092a\u0948\u091f\u0930\u094d\u0928<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 8. \u0906\u0915\u0943\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u092a\u0948\u091f\u0930\u094d\u0928?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u0928\u093f\u092f\u092e\u093f\u0924 \u092c\u0939\u0941\u092d\u0941\u091c Triangle 3 \u0938\u0947 Decagon 10 \u0924\u0915 - \u092a\u0942\u0930\u093e \u0917\u094d\u0930\u093e\u092b \u0938\u092c \u092c\u093f\u0902\u0926\u0941 \u091c\u0941\u0921\u093c\u0947 - \u090f\u0915 \u092a\u0930 \u090f\u0915 \u0930\u0916\u0947 \u0935\u0930\u094d\u0917 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 - \u092c\u0922\u093c\u0924\u093e \u0914\u0930 \u0926\u094b\u0939\u0930\u093e\u0924\u093e<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0915\u094b\u0908 \u0906\u0915\u0943\u0924\u093f \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0938\u093f\u0930\u094d\u092b \u0917\u094b\u0932\u093e<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0938\u093f\u0930\u094d\u092b \u0930\u0947\u0916\u093e<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Regular polygons triangles to decagons<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q9v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 9\/10 - \u0915\u094b\u091a \u0939\u093f\u092e\u0915\u0923<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 9. \u0915\u094b\u091a \u0939\u093f\u092e\u0915\u0923 \u0915\u094d\u092f\u093e?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u092b\u094d\u0930\u0948\u0915\u094d\u091f\u0932 - \u0926\u094b\u0939\u0930\u093e\u0935 \u0938\u0947 \u091c\u091f\u093f\u0932 \u0906\u0915\u0943\u0924\u093f - \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0940\u092e\u093e - \u0939\u093f\u092e\u0915\u0923 \u091c\u0948\u0938\u093e - \u092b\u0942\u0932 \u092a\u0902\u0916\u0941\u0921\u093c\u093f\u092f\u093e\u0902 \u091f\u093e\u0907\u0932 \u0921\u093f\u091c\u093e\u0907\u0928 \u0915\u0932\u093e \u0935\u093e\u0938\u094d\u0924\u0941\u0915\u0932\u093e \u092e\u0947\u0902 \u092d\u0940<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0938\u093e\u0927\u093e\u0930\u0923 \u0917\u094b\u0932\u093e<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0915\u094b\u0908 \u092a\u0948\u091f\u0930\u094d\u0928 \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0938\u093f\u0930\u094d\u092b \u0930\u0947\u0916\u093e<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Koch snowflake fractal<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"c1q10v2\" style=\"display:none;padding:16px;\">\n<div style=\"background:#4a148c;color:#fff;display:inline-block;padding:5px 12px;border-radius:20px;font-weight:bold;font-size:11px;margin-bottom:10px;\">\u092a\u094d\u0930\u0936\u094d\u0928 10\/10 - \u092e\u0939\u0924\u094d\u0935<\/div>\n<div style=\"background:#fff;border:2px solid #4a148c;border-radius:10px;padding:12px;\">\n<p style=\"margin:0 0 8px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928 10. \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u0915\u0947 \u0932\u093f\u090f \u0915\u094d\u092f\u094b\u0902 \u091c\u0930\u0942\u0930\u0940?<\/p>\n<div style=\"font-size:12px;line-height:1.9;\">\n<div style=\"background:#f3e5f5;padding:6px 10px;border-radius:6px;margin-bottom:4px;font-weight:bold;\">\u0915) \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0938\u094b\u091a \u0938\u092e\u0938\u094d\u092f\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0930\u091a\u0928\u093e\u0924\u094d\u092e\u0915\u0924\u093e - \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0935\u0930\u094d\u0923\u0928 \u0938\u093e\u0935\u0927\u093e\u0928\u0940\u092a\u0942\u0930\u094d\u0935\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 - Number Series Shape Series Calendar pattern \u0915\u093e \u0906\u0927\u093e\u0930 - \u0909\u091a\u094d\u091a \u0915\u0915\u094d\u0937\u093e \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u092e\u091c\u092c\u0942\u0924 \u0928\u0940\u0902\u0935<\/div>\n<div style=\"padding:6px 10px;\">\u0916) \u0915\u094b\u0908 \u091c\u0930\u0942\u0930\u0940 \u0928\u0939\u0940\u0902<\/div>\n<div style=\"padding:6px 10px;\">\u0917) \u0938\u093f\u0930\u094d\u092b \u0938\u092e\u092f \u092c\u0930\u094d\u092c\u093e\u0926<\/div>\n<div style=\"padding:6px 10px;\">\u0918) \u0938\u093f\u0930\u094d\u092b \u0916\u0947\u0932<\/div>\n<\/div>\n<div style=\"background:#c8e6c9;border-left:4px solid #2e7d32;border-radius:6px;padding:8px;margin-top:10px;\">\n<p style=\"margin:0;font-size:12px;font-weight:bold;color:#2e7d32;\">\u2705 \u0909\u0924\u094d\u0924\u0930: \u0915) Logical reasoning skills - Future competitive<\/p>\n<\/div>\n<div style=\"background:#4a148c;color:#fff;text-align:center;padding:10px;border-radius:8px;font-weight:bold;font-size:11px;margin-top:12px;\">\ud83c\udfaf Fix V2 - \u0905\u092c \u092a\u094d\u0930\u0936\u094d\u0928 \u0916\u093f\u0938\u0915\u0947\u0917\u093e - Unique ID - \u0909\u0924\u094d\u0924\u0930\u093e\u0916\u0902\u0921 \u0939\u093f\u0902\u0926\u0940!<\/div>\n<\/div>\n<\/div>\n\n<\/div>\n<div style=\"display:flex;justify-content:space-between;align-items:center;padding:12px 14px;background:#e1bee7;border-top:3px solid #4a148c;flex-shrink:0;\">\n<button type=\"button\" id=\"btnPrevCh1V2\" style=\"background:#546e7a;color:#fff;border:none;padding:10px 18px;border-radius:25px;font-weight:bold;font-size:13px;cursor:pointer;\">\u2190 \u092a\u0940\u091b\u0947<\/button>\n<span id=\"infoCh1V2\" style=\"background:#fff;border:2px solid #4a148c;color:#4a148c;padding:6px 14px;border-radius:20px;font-weight:bold;font-size:12px;\">1 \/ 10<\/span>\n<button type=\"button\" id=\"btnNextCh1V2\" style=\"background:#4a148c;color:#fff;border:none;padding:10px 18px;border-radius:25px;font-weight:bold;font-size:13px;cursor:pointer;\">\u0906\u0917\u0947 \u2192<\/button>\n<\/div>\n<\/div>\n<script>\n(function(){\nvar cur=1; var total=10;\nvar main=document.getElementById('mainCh1FixV2');\nvar info=document.getElementById('infoCh1V2');\nfunction show(n){\nfor(var i=1;i<=total;i++){var el=document.getElementById('c1q'+i+'v2'); if(el) el.style.display='none';}\nvar c=document.getElementById('c1q'+n+'v2'); if(c) c.style.display='block';\nif(info) info.textContent=n+' \/ '+total;\nif(main) main.scrollTop=0;\ncur=n;\n}\ndocument.getElementById('btnNextCh1V2').addEventListener('click',function(){var n=cur+1; if(n>total) n=1; show(n);});\ndocument.getElementById('btnPrevCh1V2').addEventListener('click',function(){var n=cur-1; if(n<1) n=total; show(n);});\nshow(1);\n})();\n<\/script><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>\ud83d\udd22 \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 &#8211; \u0915\u0915\u094d\u0937\u093e 6 \u0917\u0923\u093f\u0924 &#8211; \u0905\u0927\u094d\u092f\u093e\u092f 1 &#8211; \u092a\u0948\u091f\u0930\u094d\u0928 Patterns in Mathematics &#8211; \u0909\u0924\u094d\u0924\u0930\u093e\u0916\u0902\u0921 \u0917\u0923\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 &#8211; \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926 &#8211; Class Wise \ud83d\udcd6 \u092d\u093e\u0917 1\/5 &#8211; \u0917\u0923\u093f\u0924 \u0915\u094d\u092f\u093e \u0939\u0948 &#8211; \u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0936\u092c\u094d\u0926 \u0915\u093f\u0924\u093e\u092c \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u0939\u0948 &#8211; Mathematics is, in large part, the search for patterns, and for the explanations as [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-618","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - 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