Elementary Brain Teaser




How Many Marbles


What is the smallest number of marbles when:

grouping the marbles by 4s leaves 2 extra,
grouping the marbles by 5s leaves 1 extra,
and more than 10 marbles are in the collection?


Correct Solutions:


  1. Tyler Hall. Wocoltt Street School, LeRoy, NY
  2. Barbara Zarnick. Walnut Creek MS, Erie, PA
  3. Katie Hall. Wolcott Street School, LeRoy, NY
  4. Stacy Reade. Harding ES, Erie, PA
  5. Ashley Goldberg. Jefferson School, Jefferson, MA
  6. Jon Allain. Jefferson School, Jefferson, MA
  7. Jason Strouse. Geneva ES, Geneva, FL
  8. Gayla Day. Sunrise ES, Amarillo, TX
  9. Osman Bhatty. Colton ES, Spring Valley, NY
  10. Jane M. Baby. Colton ES, Spring Valley, NY
  11. Mar¡a Silvia Parra. Asunci¢n de la Virgen, Buenos Aires, Argentina
  12. Tim Machado. Sunrise School, Albany, OR
  13. Michelle Williams. Sunrise School, Albany, OR
  14. Benjamin Delvalle. Colton ES, Spring Valley, NY
  15. Matthew Ortega. Colton ES, Spring Valley, NY
  16. John Abraham. Colton ES, Spring Valley, NY
  17. Nithin Thomas. Colton ES, Spring Valley, NY
  18. Lynn Leandre. Colton ES, Spring Valley, NY
  19. Keriann DeRosa. Colton ES, Spring Valley, NY
  20. Adam Basile. Colton ES, Spring Valley, NY
  21. Sean Antonucci. Colton ES, Spring Valley, NY
  22. Devin Cozart. Colton ES, Spring Valley, NY
  23. Jordan Laloan. Colton ES, Spring Valley, NY
  24. Eugene Berger. Colton ES, Spring Valley, NY
  25. Jaclyn Mackawgy. Colton ES, Spring Valley, NY
  26. Daniel Guanzon. Colton ES, Spring Valley, NY
  27. Gail Nunez. Colton ES, Spring Valley, NY
  28. Andrew Marquez. Colton ES, Spring Valley, NY
  29. Adam Browning. Colton ES, Spring Valley, NY
  30. R.T. Andaloro. Colton ES, Spring Valley, NY
  31. Helen Tseng. Morgantown ES, Natchez, MS
  32. Grace Tseng. Morgantown ES, Natchez, MS
  33. William Grisaitis. Park Maitland School, Maitland, FL
  34. Mai Goto. Taguchi ES, Aichi, Japan
  35. Daniel Escuder. St. Andrew Catholic, Coral Springs, FL
  36. Demetrious Parler. Pine Tree Hll ES, Camden, SC
  37. Amanda Snipes. Pine Tree Hll ES, Camden, SC
  38. Aubrey Wingo. Rainbow ES, Winter Springs, FL
  39. Jade Jorgenson. Arlington ES, Arlington, SD
  40. Francesca Ball. Colton ES, Spring Valley, NY
  41. Abraham Thomas. Colton ES, Spring Valley, NY
  42. Nathan Elkins. Geneva ES, Geneva, FL
  43. Max Bennett. Geneva ES, Geneva, FL
  44. Adam Thornton. Walnut Creek MS, Erie, PA
  45. Joshua Jackson. Randall ES, Madison, WI
  46. Ray Hibbler. Randall ES, Madison, WI
  47. Jacob Stewart. Arlington ES, Arlington, SD
  48. Sean Barry. Briarhill MS, Highland Village, TX
  49. Alex King. Rainbow ES, Winter Springs, FL
  50. Daniel Geary. Lake Highland Prep, Orlando, FL
  51. Katie Duncan. Oak Ridge ES, Oak Ridge, NC
  52. Ryan Newman. Buena Vista Academy, Windermere, FL
  53. Xylene Almanza. Rainbow ES, Winter Springs, FL
  54. Desiderio Britton. Rainbow ES, Winter Springs, FL
  55. Vince Raley. Rainbow ES, Winter Springs, FL
  56. Kevin Nethers. Rainbow ES, Winter Springs, FL
  57. Illania Nelson. Rainbow ES, Winter Springs, FL
  58. Mitchel Boeck. Arlington School, Arlington, SD
  59. John Kromer, SPJHS, Tunnelton, WV
  60. Chris Arnita. Colton ES, Spring Valley, NY
  61. Jascob Stewart. Arlington ES, Arlington, SD
  62. Erica Blake. Walnut Creek MS, Erie, PA
  63. Michael Kornblum. PS 31, Queens, NY
  64. Bubba Whitney. Little Oak MS, Slidell, LA
  65. Raj Viswanathan. Middlebury PS, Mississauga, Ontario, Canada
  66. Elise Hernandez. Rainbow ES , Winter Springs, FL
  67. Gabrielle Hoffman. Walnut Creek MS, Erie, PA
  68. Terri Martin, Lincoln Akerman School, Hampton Falls, NH
  69. Andrew Gortmaker. Arlington ES, Arlington, SD
  70. Kayla Rolsma. Arlington ES, Arlington, SD
  71. Stephanie Ramswinter, Highland ES, Apple Valley, MN
  72. Jenny Coukos. Zervas ES, Newton, MA
  73. Emily Ross. Zervas ES, Newton, MA
  74. Alison Durgan. Ralya ES, Haslett, MI
  75. Leonard Anghelescu, Broadlands PS, North York, Ontario, Canada
  76. Jeff Vernon Fenchel. Franklin ES, Madison, WI
  77. Michael Vernon Fenchel. Randall ES, Madison, WI
  78. Aliya Merchant. Gateway PS, Toronto, Canada
  79. Rossli Chace. Lincoln Akerman School, Hampton Falls, NH
  80. Nick Midura-Ellis. Lincoln Akerman School, Hampton Falls, NH
  81. Marco Costa. Escola 2/3 do Feijo, Almada, Portugal
  82. Joao Pinto. Escola 2/3 do Feijo, Almada, Portugal
  83. Braden James Caley. Howard Debeck ES, Richmond, Canada
  84. Tru Boldt. Arlington ES, Arlington, SD
  85. Ashley Kleinjan. Arlington ES, Arlington, SD
  86. Sam Disse. Arlington ES, Arlington, SD
  87. Jessica Dah. Arlington ES, Arlington, SD
  88. Brady Josephsen. Arlington ES, Arlington, SD
  89. Mandy Lee. Arlington ES, Arlington, SD
  90. Kalli Price. Arlington ES, Arlington, SD
  91. Trevor Doherty. The Learning Castle, La Canada, CA
  92. Kim Hoang. Rainbow ES, Winter Park, FL
  93. Damaris Britton. Rainbow ES, Winter Springs, FL
  94. Tenneille Loo. Middlebury PS, Mississauga, Ontario, Canada
  95. Daniel Hermansson. Persboskolan, Skultuna, Sweden





Previous Problems