Front page > Lesson Plans > Math > Real World > Change for a dollar
Did you know there are 293 different ways to make change for a dollar?

This is a fun (if somewhat time consuming) exercise for counting money. Have your students try to list all 293 coin combinations. The list below will come in handy when checking papers.
  1. 1 dollar coin
  2. 2 half dollars
  3. 1 HD 1Q 2D IN
  4. 1 HD 1Q 2D 5P
  5. 1 HD 1Q 1D 3N
  6. 1 HD 1Q 1D 2N 5P
  7. 1 HD 1Q 1D 1N 10P
  8. 1 HD 1Q 1D 15P
  9. 1 HD 1Q 5N
  10. 1 HD 1Q 4N 5P
  11. 1 HD 1Q 3N 10P
  12. 1 HD 1Q 2N 15P
  13. 1 HD 1Q 1N 20 P
  14. 1 HD 1Q 25P
  15. 1 HD 5D
  16. 1 HD 4D 2N
  17. 1HD 4D 1N 5P
  18. 1 HD 4D 10P
  19. 1 HD 3D 4N
  20. 1 HD 3D 3N 5P
  21. 1 HD 3D 2N 10P
  22. 1 HD 3D 1N 15P
  23. 1 HD 3D 20P
  24. 1 HD 2D 6N
  25. 1 HD 2D 5N 5P
  26. 1 HD 2D 4N 10P
  27. 1 HD 2D 3N 15P
  28. 1 HD 2D 2N 20P
  29. 1 HD 2D 1N 25P
  30. 1 HD 2D 30P
  31. 1 HD 1D 8N
  32. 1 HD 1D 7N 5P
  33. 1 HD 1D 6N 10P
  34. 1 HD 1D 5N 15P
  35. 1 HD 1D 4N 20P
  36. 1 HD 1D 3N 25 P
  37. 1 HD 1D 2N 30 P
  38. 1 HD 1D 1N 35P
  39. 1 HD 1D 40P
  40. 1 HD 10N
  41. 1 HD 9N 5P
  42. 1 HD 8N 10P
  43. 1 HD 7N 15 P
  44. 1 HD 6N 20P
  45. 1 HD 5N 25P
  46. 1 HD 4N 30P
  47. 1HD 3N 35P
  48. 1 HD 2N 40P
  49. 1 HD 1N 45P
  50. 1 HD 50P
  51. 4Q
  52. 3Q 2D 1N
  53. 3Q 2D 5P
  54. 3Q 1D 3N
  55. 3Q 1D 2N 5P
  56. 3Q 1D 1N 10P
  57. 3Q 1D 15P
  58. 3Q 5N
  59. 3Q 4N 5P
  60. 3Q 3N 10P
  61. 3Q 2N 15P
  62. 3Q 1N 20 P
  63. 3Q 25P
  64. 2Q 5D
  65. 2Q 4D 2N
  66. 2Q 4D 1N 5P
  67. 2Q 4D 10P
  68. 2Q 3D 4N
  69. 2Q 3D 3N 5 P
  70. 2Q 3D 2N 10P
  71. 2Q 3D 1N 15P
  72. 2Q 3D 20P
  73. 2Q 2D 6N
  74. 2Q 2D 5N 5P
  75. 2Q 2D 4N 10 P
  76. 2Q 2D 3N 15P
  77. 2Q 2D 2N 20P
  78. 2Q 2D 1N 25P
  79. 2Q 2D 30P
  80. 2Q 1D 8N
  81. 2Q 1D 7N 5P
  82. 2Q 1D 6N 10P
  83. 2Q 1D 5N 15P
  84. 2Q 1D 4N 20P
  85. 2Q 1D 3N 25P
  86. 2Q 1D 2N 30P
  87. 2Q 1D 1N 35P
  88. 2Q 1D 40P
  89. 2Q 50P
  90. 2Q 10N
  91. 2Q 9N 5P
  92. 2Q 8N 10P
  93. 2Q 7N 15P
  94. 2Q 6N 20P
  95. 2Q 5N 25P
  96. 2Q 4N 30P
  97. 2Q 3N 35P
  98. 2Q 2N 40P
  99. 2Q 1N 45P
  100. 1Q 7D 1N
  101. 1Q 7D 5P
  102. 1Q 6D 3N
  103. 1Q 6D 2N 5P
  104. 1Q 6D 1N 10P
  105. 1Q 6D 15P
  106. 1Q 5D 5N
  107. 1Q 5D 4N 5P
  108. 1Q 5D 3N 10P
  109. 1Q 5D 2N 15P
  110. 1Q 5D 1N 20P
  111. 1Q 5D 25P
  112. 1Q 4D 7N
  113. 1Q 4D 6N 5P
  114. 1Q 4D 5N 15P
  115. 1Q 4D 4N 20P
  116. 1Q 4D 3N 25P
  117. 1Q 4D 2N 30P
  118. 1Q 4D 1N 35P
  119. 1Q 4D 40P
  120. 1Q 3D 9N
  121. 1Q 3D 8N 5P
  122. Q 3D 7N 10P
  123. 1Q 3D 6N 15P
  124. 1Q 3D 5N 20P
  125. 1Q 3D 4N 25P
  126. 1Q 3D 3N 30P
  127. 1Q 3D 2N 35P
  128. 1Q 3D 1N 40P
  129. 1Q 3D 45P
  130. 1Q 2D 11N
  131. 1Q 2D 10N 5P
  132. 1Q 2D 9N 10P
  133. 1Q 2D 8N 15P
  134. 1Q 2D 7N 20 P
  135. 1Q 2D 6N 25P
  136. 1Q 2D 5N 30P
  137. 1Q 2D 4N 35P
  138. 1Q 2D 3N 40P
  139. 1Q 2D 2N 45P
  140. 1Q 2D 1N 50P
  141. 1Q 2D 55P
  142. 1Q 1D 13N
  143. 1Q 1D 12N 5P
  144. 1Q 1D 11N 10P
  145. 1Q 1D 10N 15P
  146. 1Q 1D 9N 20P
  147. 1Q 1D 8N 25P
  148. 1Q 1D 7N 30P
  149. 1Q 1D 6N 35P
  150. 1Q 1D 5N 40P
  151. 1Q 1D 4N 45P
  152. 1Q 1D 3N 50P
  153. 1Q 1D 2N 55P
  154. 1Q 1D 1N 60P
  155. 1Q 1D 65P
  156. 1Q 15N
  157. 1Q 14N 5P
  158. 1Q 13N 10P
  159. 1Q 12N 15P
  160. 1Q 11N 20P
  161. 1Q 10N 25P
  162. 1Q 9N 30P
  163. 1Q 8N 35P
  164. 1Q 7N 40P
  165. 1Q 6N 45P
  166. 1Q 5N 50P
  167. 1Q 4N 55P
  168. 1Q 3N 60P
  169. 1Q 2N 65P
  170. 1Q 1N 70P
  171. 1Q 75P
  172. 10D
  173. 9D 2N
  174. 9D 1N 5P
  175. 9D 10P
  176. 8D 4N
  177. 8D 3N 5P
  178. 8D 2N 10P
  179. 8D 1N 15P
  180. 8D 20P
  181. 7D 6N
  182. 7D 5N 5P
  183. 7D 4N 10P
  184. 7D 3N 15P
  185. 7D 2N 20P
  186. 7D 1N 25P
  187. 7D 30P
  188. 6D 8N
  189. 6D 7N 5P
  190. 6D 6N 10P
  191. 6D 5N 15P
  192. 6D 4N 20P
  193. 6D 3N 25P
  194. 6D 2N 30P
  195. 6D 1N 35P
  196. 6D 40P
  197. 5D 10N
  198. 5D 9N 5P
  199. 5D 8N 10P
  200. 5D 7N 15P
  201. 5D 6N 20P
  202. 5D 5N 25P
  203. 5D 4N 30P
  204. 5D 3N 35P
  205. 5D 2N 40P
  206. 5D 1N 45P
  207. 5D 50P
  208. 4D 12N
  209. 4D 11N 5P
  210. 4D 10N 10P
  211. 4D 9N 15P
  212. 4D 8N 20P
  213. 4D 7N 25P
  214. 4D 6N 30P
  215. 4D 5N 35P
  216. 4D 4N 40P
  217. 4D 3N 45P
  218. 4D 2N 50P
  219. 4D 1N 55P
  220. 4D 60P
  221. 3D 14N
  222. 3D 13N 5P
  223. 3D 12N 10P
  224. 3D 11N 15P
  225. 3D 10N 20P
  226. 3D 9N 25P
  227. 3D 8N 30P
  228. 3D 7N 35P
  229. 3D 6N 40P
  230. 3D 5N 45P
  231. 3D 4N 50P
  232. 3D 3N 55P
  233. 3D 2N 60P
  234. 3D 1N 65P
  235. 3D 70P
  236. 2D 16N
  237. 2D 15N 5P
  238. 2D 14N 10P
  239. 2D 13N 15P
  240. 2D 12N 20P
  241. 2D 11N 25P
  242. 2D 10N 30P
  243. 2D 9N 35P
  244. 2D 8N 40P
  245. 2D 7N 45P
  246. 2D 6N 50P
  247. 2D 5N 55P
  248. 2D 4N 60P
  249. 2D 3N 65P
  250. 2D 2N 70P
  251. 2D 1N 75P
  252. 2D 80P
  253. 1D 18N
  254. 1D 17N 5P
  255. 1D 16N 10P
  256. 1D 15N 15P
  257. 1D 14N 20P
  258. 1D 13N 25P
  259. 1D 12N 30P
  260. 1D 11N 35P
  261. 1D 10N 40P
  262. 1D 9N 45P
  263. 1D 8N 50P
  264. 1D 7N 55P
  265. 1D 6N 60P
  266. 1D 5N 65P
  267. 1D 4N 70P
  268. 1D 3N 75P
  269. 1D 2N 80P
  270. 1D 1N 85P
  271. 1D 90P
  272. 20N
  273. 19N 5P
  274. 18N 10P
  275. 17N 15P
  276. 16N 20P
  277. 15N 25P
  278. 14N 30P
  279. 13N 35P
  280. 12N 40P
  281. 11N 45P
  282. 10N 50P
  283. 9N 55P
  284. 8N 60P
  285. 7N 65P
  286. 6N 70P
  287. 5N 75P
  288. 4N 80P
  289. 3N 85P
  290. 2N 90P
  291. 1N 95P
  292. 100P
  293. 1 HD 2Q

CONTRIBUTORS: Thanks to Cindy Stogsdill from Syracuse for contributing the list. Beth Dolezal's class at Glover Middle School in Spokane, WA, contributed a correct answer for #293 that wasn't listed originally! And a BIG thanks to Joshua Yohe, a music theory teacher at his own alma mater, Carnegie Mellon. Joshua was actually writing a computer program (for fun!) that would compute the list of 293 ways for him. To check his program, he found our page of answers, but then he emailed us 3 different mistakes! Thanks to everyone for their contributions.

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