[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-477307-105":59,"doc-detail-477307-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","making-an-amount-with-the-fewest-coins-worksheet-answers","Making an Amount with the Fewest Coins - Worksheet - Answers","","Worksheet for practicing coin-change problems where the task is to write how many coins of each denomination are needed to make given amounts using the fewest coins. Includes multiple items with dollar-and-cents totals and blank answer fields for students to fill in coin counts. An answer key provides the minimum number of each coin type required for each listed amount, supporting self-checking and targeted review.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/making-an-amount-with-the-fewest-coins-worksheet-answers/477307/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/making-an-amount-with-the-fewest-coins-worksheet-answers/477307.png","ImageObject",300,407,{"name":92,"@type":93},"Stanford","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask students to do?","Question",{"text":112,"@type":113},"Write the number of each coin needed to make each listed amount using the fewest coins possible.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Where can students verify their answers?",{"text":117,"@type":113},"The document includes an answer key with the coin counts for each problem.",{"name":119,"@type":110,"acceptedAnswer":120},"What type of math skill is practiced?",{"text":121,"@type":113},"Coin-change and optimization—finding the minimum number of coins to reach a target value.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},477307,1792898653,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},2336477552062,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Making an Amount with the Fewest Coins  \nName:  \n\n| Write how many of each coin you would use to make each amount with the fewest coins. |  |  |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.        \u003Cbr>2.        \u003Cbr>3.        \u003Cbr>4.        \u003Cbr>5.        \u003Cbr>6.        \u003Cbr>7.        \u003Cbr>8.        \u003Cbr>9.        \u003Cbr>10.         |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | 32¢ =\u003Cbr>63¢ =\u003Cbr>15¢ =\u003Cbr>29¢ =\u003Cbr>92¢ =\u003Cbr>21¢ =\u003Cbr>51¢ =\u003Cbr>81¢ =\u003Cbr>88¢ =\u003Cbr>53¢ = | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  |  |  |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nMaking an Amount with the Fewest Coins  \nName: Answer Key  \n\n| Write how many of each coin you would use to make each amount with the fewest coins. |  |  | Answers 1.  1   0   1   2  2.  2   1   0   3  3.  0   1   1   0  4.  1   0   0   4  5.  3   1   1   2  6.  0   2   0   1  7.  2   0   0   1  8.  3   0   1   1  9.  3   1   0   3  10.  2   0   0   3  |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | 32¢ =\u003Cbr>1\u003Cbr>63¢ =\u003Cbr>2\u003Cbr>15¢ =\u003Cbr>0\u003Cbr>29¢ =\u003Cbr>1\u003Cbr>92¢ =\u003Cbr>3\u003Cbr>21¢ =\u003Cbr>0\u003Cbr>51¢ =\u003Cbr>2\u003Cbr>81¢ =\u003Cbr>3\u003Cbr>88¢ =\u003Cbr>3\u003Cbr>53¢ =\u003Cbr>2\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>3\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>4\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>3\u003Cbr>+\u003Cbr>3\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| |  |\n\n[Math](Math www.CommonCoreSheets.com 10 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10 1-10)[ 10](Math www.CommonCoreSheets.com 10 1-10)[ 1-10](Math www.CommonCoreSheets.com 10 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nMaking an Amount with the Fewest Coins  \nName:  \n\n| Write how many of each coin you would use to make each amount with the fewest coins. |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.        \u003Cbr>2.        \u003Cbr>3.        \u003Cbr>4.        \u003Cbr>5.        \u003Cbr>6.        \u003Cbr>7.        \u003Cbr>8.         |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8) | 32¢ =\u003Cbr>63¢ =\u003Cbr>15¢ =\u003Cbr>29¢ =\u003Cbr>92¢ =\u003Cbr>21¢ =\u003Cbr>51¢ =\u003Cbr>81¢ = | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  |  |  |  |  |  | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10","cbCaiahpc5Np6A1q","https://ap.wps.com/l/cbCaiahpc5Np6A1q","pdf",69379,"English","# Practice: Fewest Coins\n## Write coin counts for each amount\n## Check with the answer key","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Write the number of each coin needed to make each listed amount using the fewest coins possible.\"},{\"question\":\"Where can students verify their answers?\",\"answer\":\"The document includes an answer key with the coin counts for each problem.\"},{\"question\":\"What type of math skill is practiced?\",\"answer\":\"Coin-change and optimization—finding the minimum number of coins to reach a target value.\"}]","Making an Amount with the Fewest Coins - Worksheet - Answers | PDF",1790789514]