[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633702-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-633702-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","christmas-math-challenges-problem-solving-practice","Christmas Math Challenges - Problem Solving Practice","","This document provides a series of engaging mathematical word problems themed around Christmas, designed to test and improve logical reasoning and calculation skills. The content includes two primary challenges: one involving fractional distribution of Christmas trees and another requiring number theory applications to deduce a specific quantity of Christmas lights based on digit constraints. Detailed step-by-step solutions are provided for each problem, making it an excellent resource for students seeking practice in algebraic thinking, division, and logic puzzles. The document is presented in an educational and interactive format, encouraging learners to apply arithmetic operations and deductive reasoning to solve real-world-style scenarios within a festive context.",{"@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/christmas-math-challenges-problem-solving-practice/633702/",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/christmas-math-challenges-problem-solving-practice/633702.png","ImageObject",300,407,{"name":42,"@type":43},"Jake","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How many trees did Captain Salamander collect at the start?","Question",{"text":63,"@type":64},"Captain Salamander collected 18 trees. He sold half (9) to Frazer, then a third of the remaining 9 trees (3) to Sally, leaving him with 6 trees to take home.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What are the mathematical constraints for Sally's number of Christmas lights?",{"text":68,"@type":64},"The number must be between 1100 and 2000, the hundreds digit must be a multiple of 4, the total sum of all digits must be 10, and the total number must be odd.",{"name":70,"@type":61,"acceptedAnswer":71},"Which numbers satisfy the criteria for the Christmas tree lights problem?",{"text":72,"@type":64},"The four possible numbers that satisfy the criteria are 1405, 1423, 1441, and 1801.","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},633702,1792900376,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"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":26,"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":55},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","1) Captain Salamander is collecting Christmas trees to sell at the market. He collects some trees. He sells some of the trees to two of his friends.  \n• He sells half his trees to Frazer and a third of the remaining trees to Sally.  \n• He takes 6 trees back home.  \nHow many trees did he collect at the start?  \n2) Sally is counting her Christmas tree lights.  \n• She has between 1100 and 2000 lights.  \n• The hundreds digit of this numbers is a multiple of 4.  \n• The total of all the digits is 10.  \n• The number of lights is odd.  \nHow many lights could Sally have? See if you can find all 4 possibilities.  \n1) Captain Salamander is collecting Christmas trees to sell at the market. He collects some trees. He sells some of the trees to two of his friends.  \n• He sells half his trees to Frazer and a third of the remaining trees to Sally.  \n• He takes 6 trees back home.  \nHow many trees did he collect at the start?  \n\n| 18 |  |  |  |\n| --- | --- | --- | --- |\n| 9 |  |  | 9 |\n| 3 | 3 | 3 | |\n\n• Captain Salamander takes 6 trees back which is 2/3 of the remaining trees after he has given half of them to Frazer.  \n• Sally ended up with 3 trees which is a third of the remaining trees. So half the number of trees must have been 9 trees.  \n• So the total number of trees must have been 18 trees!  \n2) Sally is counting her Christmas tree lights.  \n• She has between 1100 and 2000 lights.  \n• The hundreds digit of this numbers is a multiple of 4.  \n• The total of all the digits is 10.  \n• The number of lights is odd.  \nHow many lights could Sally have?  \nHere are the possibilities for the number of trees Sally could have had: 1405, 1423, 1441, 1801","cbCaittwTkcA2sRI","https://ap.wps.com/l/cbCaittwTkcA2sRI","pdf",142844,"English","# Christmas Tree Collection Challenge\n## Solution to Tree Challenge\n# Christmas Tree Lights Challenge\n## Possible Solutions for Lights","[{\"question\":\"How many trees did Captain Salamander collect at the start?\",\"answer\":\"Captain Salamander collected 18 trees. He sold half (9) to Frazer, then a third of the remaining 9 trees (3) to Sally, leaving him with 6 trees to take home.\"},{\"question\":\"What are the mathematical constraints for Sally's number of Christmas lights?\",\"answer\":\"The number must be between 1100 and 2000, the hundreds digit must be a multiple of 4, the total sum of all digits must be 10, and the total number must be odd.\"},{\"question\":\"Which numbers satisfy the criteria for the Christmas tree lights problem?\",\"answer\":\"The four possible numbers that satisfy the criteria are 1405, 1423, 1441, and 1801.\"}]","Christmas Math Challenges - Problem Solving Practice | PDF",1792672569]