﻿126:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Olimpiadas matemáticas:@0.107368:0.074738:0.438969:0.074738:0.438969:0.046697:0.107368:0.046697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096359:0.125354:0.115100:0.125354:0.115100:0.108218:0.096359:0.108218:0.000000:0.000000:0.000000
¿Cuál es el área de la flor formada en el hexágono? Toma en cuenta que cada lado mide 1 m. :@0.124848:0.125354:0.805523:0.125354:0.805523:0.109684:0.124848:0.109684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Argumenta la solución:@0.324198:0.466977:0.495732:0.466977:0.495732:0.450353:0.324198:0.450353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.495732:0.466977:0.498938:0.466977:0.498938:0.451307:0.495732:0.451307:0.000000
Argumenta la solución:@0.357718:0.240976:0.529252:0.240976:0.529252:0.224352:0.357718:0.224352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.529252:0.240976:0.532458:0.240976:0.532458:0.225306:0.529252:0.225306:0.000000
Argumenta la solución:@0.485754:0.619857:0.657287:0.619857:0.657287:0.603233:0.485754:0.603233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.657287:0.619857:0.660494:0.619857:0.660494:0.604187:0.657287:0.604187:0.000000
(a):@0.192201:0.805474:0.211550:0.805474:0.211550:0.788850:0.192201:0.788850:0.000000:0.000000:0.000000
(b):@0.334592:0.805474:0.355489:0.805474:0.355489:0.788850:0.334592:0.788850:0.000000:0.000000:0.000000
(c):@0.478659:0.805474:0.497381:0.805474:0.497381:0.788850:0.478659:0.788850:0.000000:0.000000:0.000000
(d):@0.621049:0.805474:0.641909:0.805474:0.641909:0.788850:0.621049:0.788850:0.000000:0.000000:0.000000
(e):@0.766793:0.805474:0.786493:0.805474:0.786493:0.788850:0.766793:0.788850:0.000000:0.000000:0.000000
2. :@0.096378:0.295356:0.115118:0.295356:0.115118:0.278221:0.096378:0.278221:0.000000:0.000000:0.000000
A una cuadrícula de papel de 5 × 5, como la que se presenta a un lado, se la quiere cortar de manera que se :@0.124867:0.295356:0.907636:0.295356:0.907636:0.279687:0.124867:0.279687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtengan cuadrículas de 2 x 2 ¿Cuál es el mayor número de cuadrículas que se puede obtener?:@0.124867:0.311953:0.823357:0.311953:0.823357:0.296283:0.124867:0.296283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096378:0.508274:0.115118:0.508274:0.115118:0.491138:0.096378:0.491138:0.000000:0.000000:0.000000
¿Con qué piezas de las siguientes se forma un cuadrado?:@0.124867:0.508274:0.541215:0.508274:0.541215:0.492604:0.124867:0.492604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.096378:0.663367:0.115118:0.663367:0.115118:0.646231:0.096378:0.646231:0.000000:0.000000:0.000000
Un rectángulo de madera de 30 cm × 24 cm se cortó en dos piezas iguales, de manera que estas piezas :@0.124867:0.663367:0.907691:0.663367:0.907691:0.647697:0.124867:0.647697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903655:0.663367:0.907691:0.663367:0.907691:0.647697:0.903655:0.647697:0.000000
puedan reensamblarse para formar otro rectángulo de 40 cm × 18 cm. ¿Cuál de las siguientes figuras  :@0.124867:0.679963:0.907691:0.679963:0.907691:0.664294:0.124867:0.664294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra el rectángulo original dividido en las dos piezas? :@0.124867:0.696560:0.546432:0.696560:0.546432:0.680890:0.124867:0.680890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.096378:0.846024:0.115118:0.846024:0.115118:0.828888:0.096378:0.828888:0.000000:0.000000:0.000000
Marisa tiene 4 blusas, 3 faldas y 2 pantalones. ¿Cuántas combinaciones distintas puede hacer para vestirse? :@0.124867:0.846024:0.907708:0.846024:0.907708:0.830354:0.124867:0.830354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. :@0.096378:0.890046:0.115118:0.890046:0.115118:0.872910:0.096378:0.872910:0.000000:0.000000:0.000000
¿Cuántos resultados diferentes podemos obtener sumando dos números distintos del conjunto :@0.124867:0.890046:0.829018:0.890046:0.829018:0.874376:0.124867:0.874376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{1, 2, 3, . . . , 10}?:@0.124867:0.906642:0.237312:0.906642:0.237312:0.890973:0.124867:0.890973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuperado de: http://www.ommenlinea.org/:@0.659104:0.940374:0.905065:0.940374:0.905065:0.928977:0.659104:0.928977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.392647:0.561425:0.400728:0.561425:0.400728:0.547597:0.392647:0.547597:0.000000
5:@0.392647:0.615492:0.400728:0.615492:0.400728:0.601664:0.392647:0.601664:0.000000
2:@0.147296:0.605647:0.155378:0.605647:0.155378:0.591819:0.147296:0.591819:0.000000
1:@0.159026:0.562874:0.167108:0.562874:0.167108:0.549046:0.159026:0.549046:0.000000
3:@0.276296:0.599367:0.284378:0.599367:0.284378:0.585539:0.276296:0.585539:0.000000
2:@0.567986:0.236954:0.574730:0.236954:0.574730:0.225202:0.567986:0.225202:0.000000
3 3:@0.593979:0.236954:0.616396:0.236954:0.616396:0.225202:0.593979:0.225202:0.000000:0.000000:0.000000
Se obtienen 6 piezas.:@0.522029:0.465875:0.620320:0.465875:0.620320:0.455904:0.522029:0.455904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se forma un cuadrado con las figuras 1, 3 y 5.:@0.684643:0.618592:0.893822:0.618592:0.893822:0.608620:0.684643:0.608620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.123709:0.864979:0.135154:0.864979:0.135154:0.855007:0.123709:0.855007:0.000000:0.000000
17:@0.123709:0.927845:0.135154:0.927845:0.135154:0.917874:0.123709:0.917874:0.000000:0.000000
e:@0.837676:0.803327:0.843363:0.803327:0.843363:0.793356:0.837676:0.793356:0.000000