246:@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. :@0.096359:0.117810:0.115100:0.117810:0.115100:0.100675:0.096359:0.100675:0.000000:0.000000:0.000000
Calcula:@0.124848:0.117810:0.182471:0.117810:0.182471:0.100910:0.124848:0.100910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la superficie del área sombreada expresada en fracción.:@0.182471:0.117810:0.590822:0.117810:0.590822:0.102141:0.182471:0.102141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512566:0.279888:0.516472:0.279888:0.516472:0.263264:0.512566:0.263264:0.000000
Argumenta:@0.541055:0.279888:0.631553:0.279888:0.631553:0.262987:0.541055:0.262987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.631553:0.279888:0.635460:0.279888:0.635460:0.263264:0.631553:0.263264:0.000000
la solución::@0.634796:0.279888:0.715749:0.279888:0.715749:0.264218:0.634796:0.264218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512566:0.472032:0.516472:0.472032:0.516472:0.455408:0.512566:0.455408:0.000000
Argumenta:@0.541055:0.472032:0.631553:0.472032:0.631553:0.455132:0.541055:0.455132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.631553:0.472032:0.635460:0.472032:0.635460:0.455408:0.631553:0.455408:0.000000
la solución::@0.634815:0.472032:0.715786:0.472032:0.715786:0.456363:0.634815:0.456363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.530728:0.100266:0.530728:0.100266:0.514104:0.096359:0.514104:0.000000
Argumenta:@0.124848:0.530728:0.215346:0.530728:0.215346:0.513827:0.124848:0.513827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215346:0.530728:0.219253:0.530728:0.219253:0.514104:0.215346:0.514104:0.000000
la solución::@0.219253:0.530728:0.300887:0.530728:0.300887:0.515058:0.219253:0.515058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.648784:0.100266:0.648784:0.100266:0.632160:0.096359:0.632160:0.000000
Argumenta:@0.124848:0.648784:0.215346:0.648784:0.215346:0.631883:0.124848:0.631883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215346:0.648784:0.219253:0.648784:0.219253:0.632160:0.215346:0.632160:0.000000
la solución::@0.219253:0.648784:0.300887:0.648784:0.300887:0.633114:0.219253:0.633114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.743521:0.100266:0.743521:0.100266:0.726897:0.096359:0.726897:0.000000
Argumenta:@0.124848:0.743521:0.215346:0.743521:0.215346:0.726621:0.124848:0.726621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215346:0.743521:0.219253:0.743521:0.219253:0.726897:0.215346:0.726897:0.000000
la solución::@0.219253:0.743521:0.300887:0.743521:0.300887:0.727852:0.219253:0.727852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.413923:0.927534:0.417829:0.927534:0.417829:0.910910:0.413923:0.910910:0.000000
Argumenta:@0.429015:0.927534:0.519511:0.927534:0.519511:0.910633:0.429015:0.910633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.519511:0.927534:0.523418:0.927534:0.523418:0.910910:0.519511:0.910910:0.000000
la solución::@0.522775:0.927534:0.603727:0.927534:0.603727:0.911864:0.522775:0.911864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096359:0.314062:0.115100:0.314062:0.115100:0.296927:0.096359:0.296927:0.000000:0.000000:0.000000
Al doblar los cuadrados del gráfico, se forma un cubo. ¿Qué letra queda opuesta a B?:@0.124848:0.314062:0.743200:0.314062:0.743200:0.298393:0.124848:0.298393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.506096:0.115100:0.506096:0.115100:0.488961:0.096359:0.488961:0.000000:0.000000:0.000000
Tres martes en un mes coincidieron con fechas pares. ¿Qué día de la semana fue 21 de ese mes? :@0.124848:0.506096:0.831672:0.506096:0.831672:0.490427:0.124848:0.490427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.096359:0.563077:0.115100:0.563077:0.115100:0.545941:0.096359:0.545941:0.000000:0.000000:0.000000
El promedio de estudiantes que ingresaron a una escuela, durante los cuatro años del periodo 2017-2020, :@0.124848:0.563077:0.907669:0.563077:0.907669:0.547407:0.124848:0.547407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fue de 325 estudiantes por año.:@0.124848:0.579674:0.355651:0.579674:0.355651:0.564004:0.124848:0.564004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.603393:0.100395:0.603393:0.100395:0.587723:0.096359:0.587723:0.000000
Si el promedio de ingreso, durante los cinco años del periodo 2017-2021, es 20 % más alto, ¿cuántos estu-:@0.124848:0.603393:0.903615:0.603393:0.903615:0.587723:0.124848:0.587723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diantes entraron a la escuela en 2021?:@0.124848:0.619989:0.403270:0.619989:0.403270:0.604319:0.124848:0.604319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.096359:0.681479:0.115100:0.681479:0.115100:0.664343:0.096359:0.664343:0.000000:0.000000:0.000000
Pepe le cambia dos dígitos al número 888 buscando un número de 3 cifras lo más grande posible que sea :@0.124848:0.681479:0.907542:0.681479:0.907542:0.665809:0.124848:0.665809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible para 8. José le cambia dos dígitos al número 888 buscando un número de 3 cifras lo menor posible :@0.124848:0.698075:0.907560:0.698075:0.907560:0.682405:0.124848:0.682405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y que sea divisible para 8. ¿Cuánto vale la diferencia entre ambos números?:@0.124848:0.714671:0.674685:0.714671:0.674685:0.699002:0.124848:0.699002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. :@0.096359:0.775220:0.115100:0.775220:0.115100:0.758085:0.096359:0.758085:0.000000:0.000000:0.000000
Si el área del rectángulo es de 200 mm, ¿cuál es el área sombreada?:@0.124848:0.775220:0.618259:0.775220:0.618259:0.759551:0.124848:0.759551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.407268:0.214362:0.415444:0.214362:0.415444:0.200117:0.407268:0.200117:0.000000
1:@0.313991:0.278343:0.321757:0.278343:0.321757:0.264810:0.313991:0.264810:0.000000
B:@0.337059:0.377361:0.355671:0.377361:0.355671:0.346022:0.337059:0.346022:0.000000
C:@0.335861:0.418871:0.356869:0.418871:0.356869:0.387532:0.335861:0.387532:0.000000
E:@0.280794:0.460382:0.297969:0.460382:0.297969:0.429043:0.280794:0.429043:0.000000
D:@0.277459:0.418871:0.301304:0.418871:0.301304:0.387532:0.277459:0.387532:0.000000
F:@0.223887:0.460382:0.240914:0.460382:0.240914:0.429043:0.223887:0.429043:0.000000
A:@0.392568:0.377361:0.414128:0.377361:0.414128:0.346022:0.392568:0.346022:0.000000
Recuperado de: http://www.cangurocr.org/:@0.642975:0.945369:0.903641:0.945369:0.903641:0.932548:0.642975:0.932548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.156155:0.817888:0.165955:0.817888:0.165955:0.803643:0.156155:0.803643:0.000000
D:@0.155636:0.912186:0.166474:0.912186:0.166474:0.897940:0.155636:0.897940:0.000000
M:@0.263421:0.817888:0.276454:0.817888:0.276454:0.803643:0.263421:0.803643:0.000000
N:@0.264593:0.912186:0.275281:0.912186:0.275281:0.897940:0.264593:0.897940:0.000000
B:@0.376265:0.817888:0.384725:0.817888:0.384725:0.803643:0.376265:0.803643:0.000000
C:@0.375712:0.912186:0.385261:0.912186:0.385261:0.897940:0.375712:0.897940:0.000000
El área sombreada es :@0.729017:0.278923:0.829701:0.278923:0.829701:0.268952:0.729017:0.268952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.836136:0.273495:0.841721:0.273495:0.841721:0.263764:0.836136:0.263764:0.000000
32:@0.833275:0.285622:0.844318:0.285622:0.844318:0.275891:0.833275:0.275891:0.000000:0.000000
. :@0.847384:0.278923:0.851993:0.278923:0.851993:0.268952:0.847384:0.268952:0.000000:0.000000
La letra que queda opuesta a B es E.:@0.728382:0.468878:0.895088:0.468878:0.895088:0.458906:0.728382:0.458906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
21 de ese mes fue domingo.:@0.312800:0.528356:0.444957:0.528356:0.444957:0.518384:0.312800:0.518384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
650:@0.312800:0.646405:0.329968:0.646405:0.329968:0.636433:0.312800:0.636433:0.000000:0.000000:0.000000
856:@0.312800:0.741149:0.329968:0.741149:0.329968:0.731177:0.312800:0.731177:0.000000:0.000000:0.000000
100 mm:@0.612170:0.926262:0.651115:0.926262:0.651115:0.916291:0.612170:0.916291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000