[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-475763-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-475763-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","multiplication-mazes-multiples-of-3","Multiplication Mazes: Multiples of 3","","Solve the multiplication maze by selecting numbers that are multiples of 3 and form a continuous path from ⊗ to ★. Numbers must be touching, including diagonally by a corner, to count as connected. Ignore distractors: multiples of 3 that are not adjacent to the current valid step. The provided grids require checking adjacency carefully to avoid false routes and reach the final target symbol.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/multiplication-mazes-multiples-of-3/475763/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/multiplication-mazes-multiples-of-3/475763.png","ImageObject",300,407,{"name":42,"@type":43},"Chumphorn","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do I decide which numbers to use in the maze?","Question",{"text":63,"@type":64},"Use numbers that are multiples of 3. Each chosen number must be connected to the previous one by touching.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Can diagonal touching (a corner) count as connected?",{"text":68,"@type":64},"Yes. The rule allows numbers to be touching even if only by a corner.",{"name":70,"@type":61,"acceptedAnswer":71},"What are distractors in this puzzle?",{"text":72,"@type":64},"Distractors are numbers that are multiples of 3 but are not touching the current valid path, so they cannot be used to continue.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},475763,1791024870,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":118,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":103},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Determine the multiples of 3 to find your way through the maze. Remember the numbers must be touching even if its just by a corner. Watch out for distractors (numbers that are multiples of 3, but not touching). Start at ⊗ and finish at ★.  \n\n| 20 | 17 | ★ | 6 | 30 | 27 | 15 | 27 | 3 | 18 | 14 | 25 | 21 | 19 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| ⊗ | 5 | 11 | 17 | 23 | 26 | 25 | 16 | 16 | 5 | 9 | 25 | 15 | 8 |\n| 4 | 9 | 11 | 17 | 20 | 20 | 13 | 21 | 12 | 3 | 23 | 22 | 27 | 27 |\n| 22 | 7 | 6 | 22 | 2 | 28 | 15 | 4 | 17 | 26 | 20 | 22 | 16 | 13 |\n| 6 | 32 | 24 | 10 | 4 | 23 | 1 | 27 | 28 | 29 | 28 | 29 | 19 | 27 |\n| 19 | 8 | 24 | 28 | 27 | 11 | 19 | 28 | 21 | 18 | 30 | 6 | 23 | 17 |\n| 1 | 7 | 21 | 29 | 10 | 28 | 5 | 5 | 19 | 32 | 22 | 25 | 12 | 1 |\n| 31 | 6 | 8 | 7 | 12 | 24 | 23 | 26 | 22 | 14 | 17 | 27 | 11 | 8 |\n| 15 | 29 | 4 | 5 | 24 | 23 | 17 | 21 | 18 | 18 | 3 | 23 | 2 | 30 |\n| 25 | 6 | 20 | 26 | 5 | 10 | 24 | 7 | 16 | 23 | 14 | 8 | 9 | 26 |\n| 14 | 9 | 10 | 20 | 29 | 11 | 11 | 21 | 22 | 28 | 23 | 11 | 12 | 16 |\n| 5 | 29 | 9 | 30 | 28 | 26 | 29 | 10 | 18 | 2 | 32 | 10 | 3 | 24 |\n| 24 | 28 | 16 | 12 | 28 | 2 | 23 | 32 | 6 | 32 | 19 | 14 | 15 | 24 |\n| 18 | 28 | 25 | 6 | 27 | 18 | 12 | 15 | 17 | 22 | 8 | 11 | 12 | 23 |\n\n\n| 1 | 30 | 8 | 30 | 23 | 31 | 7 | 11 | 20 | 2 | 8 | 15 | 21 | 14 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 11 | 18 | 12 | 17 | 8 | 25 | 17 | 24 | 27 | 27 | 20 | 11 | 25 | 12 |\n| 29 | 25 | 18 | 24 | 7 | 23 | 27 | 10 | 8 | 29 | 9 | 13 | 8 | 25 |\n| 18 | 6 | 3 | 29 | 23 | 3 | 23 | 20 | 25 | 31 | 28 | 30 | 23 | 22 |\n| 15 | 8 | 19 | 23 | 15 | 22 | 23 | 28 | 31 | 18 | 23 | 29 | 27 | 22 |\n| 29 | 19 | 19 | 5 | 20 | 3 | 15 | 9 | 8 | 4 | 20 | 31 | 17 | ★ |\n| 30 | 22 | 12 | 24 | 14 | 22 | 13 | 5 | 3 | 20 | 18 | 12 | 31 | 11 |\n| 21 | 26 | 14 | 27 | 29 | 12 | 7 | 13 | 27 | 22 | 21 | 3 | 3 | 10 |\n| 27 | 17 | 2 | 11 | 5 | 4 | 10 | 7 | 15 | 4 | 22 | 9 | 26 | 3 |\n| 3 | 15 | 30 | 22 | 5 | 29 | 9 | 3 | 21 | 19 | 18 | 15 | 23 | 14 |\n| 23 | 2 | 21 | 32 | 28 | 18 | 32 | 32 | 20 | 23 | 27 | 15 | 27 | 20 |\n| 25 | 25 | 17 | 10 | 17 | 27 | 10 | 17 | 24 | 17 | 29 | 29 | 19 | 14 |\n| 28 | 6 | 9 | 31 | 1 | 13 | 30 | 13 | 25 | 15 | 12 | 21 | 13 | 15 |\n| 26 | 3 | 9 | 21 | 31 | 20 | 8 | ⊗ | 29 | 31 | 10 | 11 | 13 | 30 |\n\nDetermine the multiples of 3 to find your way through the maze. Remember the numbers must be touching even if its just by a corner. Watch out for distractors (numbers that are multiples of 3, but not touching). Start at ⊗ and finish at ★.  \n\n| 20 | 17 | ★ | 6 | 30 | 27 | 15 | 27 | 3 | 18 | 14 | 25 | 21 | 19 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| ⊗ | 5 | 11 | 17 | 23 | 26 | 25 | 16 | 16 | 5 | 9 | 25 | 15 | 8 |\n| 4 | 9 | 11 | 17 | 20 | 20 | 13 | 21 | 12 | 3 | 23 | 22 | 27 | 27 |\n| 22 | 7 | 6 | 22 | 2 | 28 | 15 | 4 | 17 | 26 | 20 | 22 | 16 | 13 |\n| 6 | 32 | 24 | 10 | 4 | 23 | 1 | 27 | 28 | 29 | 28 | 29 | 19 | 27 |\n| 19 | 8 | 24 | 28 | 27 | 11 | 19 | 28 | 21 | 18 | 30 | 6 | 23 | 17 |\n| 1 | 7 | 21 | 29 | 10 | 28 | 5 | 5 | 19 | 32 | 22 | 25 | 12 | 1 |\n| 31 | 6 | 8 | 7 | 12 | 24 | 23 | 26 | 22 | 14 | 17 | 27 | 11 | 8 |\n| 15 | 29 | 4 | 5 | 24 | 23 | 17 | 21 | 18 | 18 | 3 | 23 | 2 | 30 |\n| 25 | 6 | 20 | 26 | 5 | 10 | 24 | 7 | 16 | 23 | 14 | 8 | 9 | 26 |\n| 14 | 9 | 10 | 20 | 29 | 11 | 11 | 21 | 22 | 28 | 23 | 11 | 12 | 16 |\n| 5 | 29 | 9 | 30 | 28 | 26 | 29 | 10 | 18 | 2 | 32 | 10 | 3 | 24 |\n| 24 | 28 | 16 | 12 | 28 | 2 | 23 | 32 | 6 | 32 | 19 | 14 | 15 | 24 |\n| 18 | 28 | 25 | 6 | 27 | 18 | 12 | 15 | 17 | 22 | 8 | 11 | 12 | 23 |\n\nNot a Multiple Distractor Correct Path  \n\n| 1 | 30 | 8 | 30 | 23 | 31 | 7 | 11 | 20 | 2 | 8 | 15 | 21 | 14 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 11 | 18 | 12 | 17 | 8 | 25 | 17 | 24 | 27 | 27 | 20 | 11 | 25 | \u003Cbr>12 |\n| 29 | 25 | 18 | 24 | 7 | 23 | 27 | 10 | 8 | 29 | 9 | 13 | 8 | 25 |\n| 18 | 6 | 3 | 29 | 23 | 3 | 2","cbCaidGO5IlRiwyA","https://ap.wps.com/l/cbCaidGO5IlRiwyA","pdf",575551,"English","# Instructions\n## Start and finish points\n## Rule: touch (including corners)\n## Distractors to avoid\n# Mazes\n## Grid 1\n## Grid 2\n## Grid 3","[{\"question\":\"How do I decide which numbers to use in the maze?\",\"answer\":\"Use numbers that are multiples of 3. Each chosen number must be connected to the previous one by touching.\"},{\"question\":\"Can diagonal touching (a corner) count as connected?\",\"answer\":\"Yes. The rule allows numbers to be touching even if only by a corner.\"},{\"question\":\"What are distractors in this puzzle?\",\"answer\":\"Distractors are numbers that are multiples of 3 but are not touching the current valid path, so they cannot be used to continue.\"}]","Multiplication Mazes: Multiples of 3 | PDF",1790786608]