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.