[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-458753-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-458753-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","grade-5-practice-problems","Grade 5 - Practice Problems","","Grade 5 and Grade 6 practice problems organized by IMC years (2016–2019) include a set of multi-step math questions covering number construction, algebraic equations, geometry (areas of rectangles and composite shapes), and word problems involving wheels, cakes, cabins, twins, and building towers. The document also provides an answer key matching each question number to its solution, enabling fast self-check and review for students.",{"@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/grade-5-practice-problems/458753/",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/grade-5-practice-problems/458753.png","ImageObject",300,407,{"name":42,"@type":43},"Indoniesian Boy","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-15","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What topics are covered in the Grade 5 practice problems?","Question",{"text":63,"@type":64},"They include number construction, calculations with fractions and division, solving for x, geometry and area, and multi-step logic word problems.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the problems organized in the document?",{"text":68,"@type":64},"Problems are grouped by grade and by IMC year (2016, 2017, 2018, 2019), with question numbers and a corresponding answers section.",{"name":70,"@type":61,"acceptedAnswer":71},"Is an answer key included?",{"text":72,"@type":64},"Yes. The document lists answers by question number for each grade’s problems, supporting self-check and review.","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},458753,1791214841,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"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":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":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"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":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":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145},962090760608,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Practice Problems  \nGrade 5  \nIMC 2019 ……………………………………………………………………………………… Pg. 2  \nIMC 2018 ……………………………………………………………………………………… Pg. 7  \nIMC 2017 ……………………………………………………………………………………… Pg. 12  \nIMC 2016 ………………………………………………………………………………………. Pg. 17  \nGrade 6  \nIMC 2019 ……………………………………………………………………………………… Pg. 21  \nIMC 2018 ……………………………………………………………………………………… Pg. 26  \nIMC 2017 ……………………………………………………………………………………… Pg. 31  \nIMC 2016 ……………………………………………………………………………………… Pg. 36  \nIMC 2019 Grade 5  \n1. Emily has four cards marked 2, 0, 1, and 9. What is the smallest four digit number that Emily can make with her cards?  \n| 2. Calculate: (5 ~~ ~~25 − 35~~ ~~ ) ÷ 45 |\n| --- |\n| 3. Mary cut a rectangular piece of paper into two triangles with sides 9, 40, and 41 cm. Find the area of the rectangular piece of paper before cutting.\u003Cbr>|\n| 4. Find the value of x , if ~~ ~~12~~ ~~ x + 5 ~~ ~~12 = 14 ~~ ~~12 |\n\n5. Adam the Ant and Anna the Ant dared each other to grab a moving bicycle wheel. Adam the Ant hung on for 20 seconds, in which time the wheel made 30 turns; then, he fell off. Anna the Ant hung on 12 seconds longer than Adam the Ant. How many times did she spin around on the bicycle wheel?  \n| 6. Find the covered number:\u003Cbr>|\n| --- |\n| 7. Fifteen elves made some identical cakes for a party. Each elf ate half of a cake, one-fifth of a cake, and a third piece, which was six times smaller than the second piece. Three cakes were left untouched. How many cakes did the elves make?\u003Cbr>|\n\n8. One chocolate bar can be used to create one chocolate rabbit with some chocolate left over. The leftovers of seven bars can be used to create two chocolate rabbits without any chocolate left over. How many chocolate rabbits can be created from 35 chocolate bars?  \n| 9. All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there? |\n| --- |\n| 10. Mother Goose’s twin sons, Winken and Blinken, were born on the same day of the year as their mom. Two years ago, the sum of all their ages was 19. Today, Mother Goose is 3 times as old as Winken. How old is Blinken today? |\n| 11. Alice used 9 cm × 9 cm × 9 cm cubes to build a tower which is 12 cubes tall, 4 cubes wide and 3 cubes long. Then, she decided to make her tower taller by taking apart one of the side layers to build a few more layers on the top of the tower. What is the smallest possible height, in centimeters, of the new tower? |\n\n12. All the unicorns on Rainbow Island are either green or yellow. Every time the clock strikes midnight, some of the unicorns change their color. Yesterday, there were 6 green unicorns for every 5 yellow ones. Today, there are 3 green ones for every 4 yellow ones. What is the smallest possible number of unicorns living on Rainbow Island?  \n| 13. As a present for Mother’s Day, Mary wants to decorate a 1-inch-wide frame around a 6-inch by 9-inch photo of her mom. Mary paints each square inch with alternating striped and solid triangles, as shown. How many striped triangles will Mary paint?\u003Cbr>|\n| --- |\n| 14. The Ancient Wizard Albus owns 3 ancient Clocks of Perpetual Motion. Every day, Clock \\#1 runs 20 minutes fast; Clock \\#2 runs 30 minutes fast, and Clock \\#3 runs 40 minutes fast. He sets all three clocks to the correct time and leaves to visit his friend. After many days, he returns home and, to his surprise, finds all 3 clocks showing the correct time again! What is the fewest possible number of days Albus could have spent away from home? |\n\nAnswers  \n\n| Question No. | Answer |\n| --- | --- |\n| 1 | The smallest four digit number that Emily can make is 1029 or 1026 or 1,029 or 1,026 . |\n| 2 | 6 |\n| 3 | The area of the rectangular piece of paper is 360 cm2 . |\n| 4 | x = 18 |\n| 5 | Anna the Ant spun around the bicycle wheel 48 times. |\n| 6 | The covered number is 2038 or 2,038 . |\n| 7 | The elves made 14 cakes. |\n| 8 | 45 chocolate rabbits. |\n| 9 | There are 62 cabins. ","cbCaieezcFfXW7Ih","https://ap.wps.com/l/cbCaieezcFfXW7Ih","pdf",2068261,39,"English","# Grade 5\n## IMC 2019\n## IMC 2018\n## IMC 2017\n## IMC 2016\n# Grade 6\n## IMC 2019\n## IMC 2018\n## IMC 2017\n## IMC 2016","[{\"question\":\"What topics are covered in the Grade 5 practice problems?\",\"answer\":\"They include number construction, calculations with fractions and division, solving for x, geometry and area, and multi-step logic word problems.\"},{\"question\":\"How are the problems organized in the document?\",\"answer\":\"Problems are grouped by grade and by IMC year (2016, 2017, 2018, 2019), with question numbers and a corresponding answers section.\"},{\"question\":\"Is an answer key included?\",\"answer\":\"Yes. The document lists answers by question number for each grade’s problems, supporting self-check and review.\"}]","Grade 5 - Practice Problems | PDF",1790754305,98]