[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-477625-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-477625-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","determining-coin-change-fewest-coins","Determining Coin Change - Fewest Coins","","Worksheet materials for solving coin-change problems by determining the minimum number of coins needed to make given amounts in US currency. The page lists multiple target totals expressed in cents and prompts students to choose how many quarters, dimes, nickels, and pennies are required to reach each amount. An answer key provides the fewest-coin breakdown for several problems, supporting self-checking and review.",{"@graph":14,"@context":72},[15,34,55],{"@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/determining-coin-change-fewest-coins/477625/",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/determining-coin-change-fewest-coins/477625.png","ImageObject",300,407,{"name":42,"@type":43},"eBook King","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What task does the worksheet ask you to do for each amount?","Question",{"text":62,"@type":63},"For each cents total, determine how many coins are needed using the fewest coins possible.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Which coin types are used in the problems?",{"text":67,"@type":63},"The problems use quarters, dimes, nickels, and pennies.",{"name":69,"@type":60,"acceptedAnswer":70},"How can you check your answers?",{"text":71,"@type":63},"Use the provided answer key to compare your quarter, dime, nickel, and penny counts for each problem.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},477625,1793070464,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"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":110},962088006270,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Determining Coin Change (Fewest Coins)  \nName:  \n\n| Determine how many coins are needed to make the change shown using the |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| fewest coins possible.\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10)\u003Cbr>11)\u003Cbr>54 ¢\u003Cbr>71 ¢\u003Cbr>63 ¢\u003Cbr>93 ¢\u003Cbr>76 ¢\u003Cbr>99 ¢\u003Cbr>30 ¢\u003Cbr>51 ¢\u003Cbr>22 ¢\u003Cbr>97 ¢\u003Cbr>56 ¢\u003Cbr>quarters quarters\u003Cbr>quarters\u003Cbr>quarters quarters\u003Cbr>quarters\u003Cbr>quarters quarters\u003Cbr>quarters\u003Cbr>\u003Cbr>quarters\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes\u003Cbr>dimes dimes\u003Cbr>dimes\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels\u003Cbr>nickels nickels\u003Cbr>nickels |  | pennies pennies\u003Cbr>pennies\u003Cbr>pennies pennies\u003Cbr>pennies\u003Cbr>pennies pennies\u003Cbr>pennies\u003Cbr>\u003Cbr>pennies |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10.\u003Cbr>11.\u003Cbr>12.\u003Cbr>13.\u003Cbr>14. |  |  |  |  |  |  |  |\n| 12) | 57 ¢  quarters   dimes   nickels  | pennies |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | 40 ¢  quarters   dimes   nickels  | pennies |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | 60 ¢  quarters   dimes   nickels  | pennies |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1-10\u003Cbr>11-14 | 93 | 86 | 79 |  | 71 | 64 | 57 | 50 | 43 | 36 | 29 |\n|  |  |  | 21 | 14 | 7 |  | 0 |  |  |  |  |  |  |\n\nDetermining Coin Change (Fewest Coins)  \nName: Answer Key  \n\n| Determine how many coins are needed to make the change shown using the |  |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| fewest coins possible.\u003Cbr>1) 54 ¢ ~~ ~~qua2rters~~ ~~ ~~ di ~~0mes~~ ~~ ~~ ~~nic0~~kels ~~\u003Cbr>2) 71 ¢ ~~ ~~qua2rters~~ ~~ ~~ di ~~2mes~~ ~~ ~~ ~~nic0~~kels ~~\u003Cbr>3) 63 ¢ ~~ ~~qua2rters~~ ~~ ~~ di ~~1mes~~ ~~ ~~ ~~nic0~~kels ~~\u003Cbr>4) 93 ¢ ~~ ~~qua3rters~~ ~~ ~~ di ~~1mes~~ ~~ ~~ ~~nic1~~kels ~~\u003Cbr>5) 76 ¢ ~~ ~~qua3rters~~ ~~ ~~ di ~~0mes~~ ~~ ~~ ~~nic0~~kels  ~~6)  3   2   0 \u003Cbr>99 ¢ quarters dimes nickels\u003Cbr>7) 30 ¢ ~~ ~~qua1rters~~ ~~ ~~ di ~~0mes~~ ~~ ~~ ~~nic1~~kels ~~\u003Cbr>8) 51 ¢ ~~ ~~qua2rters~~ ~~ ~~ di ~~0mes~~ ~~ ~~ ~~nic0~~kels ~~\u003Cbr>9) 22 ¢ ~~ ~~qua0rters~~ ~~ ~~ di ~~2mes~~ ~~ ~~ ~~nic0~~kels ~~\u003Cbr>10) 97 ¢ ~~ ~~qua3rters~~ ~~ ~~ di ~~2mes~~ ~~ ~~ ~~nic0~~kels ~~\u003Cbr>11) 56 ¢ ~~ ~~qua2rters~~ ~~ ~~ di ~~0mes~~ ~~ ~~ ~~nic1~~kels ~~ |  |  | 4\u003Cbr>pennies\u003Cbr>1 pennies\u003Cbr>3 pennies\u003Cbr>3 pennies\u003Cbr>1 pennies\u003Cbr>4 pennies\u003Cbr>0 pennies\u003Cbr>1 pennies\u003Cbr>2 pennies\u003Cbr>2 pennies\u003Cbr>1\u003Cbr>pennies |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10.\u003Cbr>11.\u003Cbr>12.\u003Cbr>13.\u003Cbr>14. |  | 2 0 0 4\u003Cbr>2 2 0 1\u003Cbr>2 1 0 3\u003Cbr>3 1 1 3\u003Cbr>3 0 0 1\u003Cbr>3 2\u003Cbr>0 0 2\u003Cbr>2\u003Cbr>0 0 1\u003Cbr>1 0 1\u003Cbr>0\u003Cbr>0 0 1 1\u003Cbr>1\u003Cbr>4 1 0 2 1 0 2 3 2 2 1 2 2 1 0 2 0 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 57 ¢ ~~ ~~qua2rters~~ ~~ ~~ di ~~0mes~~ ~~ ~~ ~~nic1~~kels ~~ |","cbCaibvHZLT1jhjA","https://ap.wps.com/l/cbCaibvHZLT1jhjA","pdf",46005,"English","# Determine the fewest coins\n## Problems by target amount (cents)\n## Answer key and verification","[{\"question\":\"What task does the worksheet ask you to do for each amount?\",\"answer\":\"For each cents total, determine how many coins are needed using the fewest coins possible.\"},{\"question\":\"Which coin types are used in the problems?\",\"answer\":\"The problems use quarters, dimes, nickels, and pennies.\"},{\"question\":\"How can you check your answers?\",\"answer\":\"Use the provided answer key to compare your quarter, dime, nickel, and penny counts for each problem.\"}]","Determining Coin Change - Fewest Coins | PDF",1790790090]