Club de Matemáticas Municipal por EMMO

<span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;">En este encuentro se contó con la participación de 20 estudiantes donde se les presentó un taller compuesto por diez problemas para que lo realizaran en grupos de 3 personas, el objetivo principal era visualizar las diferentes estrategias que adoptan los estudiantes en la fase inicial de la solución de problemas y elaborar un diagnostico que evidencie las falencias y fortalezas de los estudiantes; lo que permitirá construir un protocolo de acción para los talleres futuros.</span><br />
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<span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">TALLER N°1<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">RESOLUCIÓN DE PROBLEMAS<o:p></o:p></span></div><div align="right" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: right;"><br />
</div><div align="right" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: right;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">Lic. Eduar Mauricio Mateus Ocampo<o:p></o:p></span></div><div align="right" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: right;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">Reunirse en grupos de 3 o 4 estudiantes y analizar, conjeturar, explorar y encontrar la(s) solución(es) de los problemas que se  plantean a continuación:<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">1. ¿Qué dígito debe sustituirse por  <b>Ω  </b>para que la igualdad sea verdadera  <b>Ω</b>1996/9 = <b>Ω</b>444?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 10.6pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 10.6pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 10.6pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 10.6pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
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</tbody></table><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">2. ¿Calcular 99-97+95-93+91-…+3-1=?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 10.1pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 10.1pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 10.1pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 10.1pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
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</tbody></table><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">3. Camilo leyó un libro. El primer día leyó 5 páginas, y cada día siguiente leyó 2 páginas más que el día anterior. Si la lectura del libro le llevó un total  de 20 días. ¿Cuántas  páginas tenía el libro?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 7.1pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 7.1pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 7.1pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 7.1pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
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</tbody></table><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">4. Si el producto de las edades de dos personas adultas es de 1.000 años. ¿Qué edad tiene cada persona?, ¿Cuántas soluciones tiene el problema?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 7.5pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 7.5pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 7.5pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 7.5pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">5. Cuatro números  impares consecutivos suman 48. ¿Cuál es el mayor de estos números?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 14.2pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 14.2pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 14.2pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 14.2pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">6</span><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">. Los números a partir de 1 son arreglados en 4 columnas como se muestra a continuación. En qué columna debe aparecer el número a) 125? b) 12.346?</span></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 106.2pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 35.4pt;"><b><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">A          B          C         D<o:p></o:p></span></b></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 106.2pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 35.4pt;"><b><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">1           2          3          4<o:p></o:p></span></b></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 106.2pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 35.4pt;"><b><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">8           7          6          5<o:p></o:p></span></b></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 106.2pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 35.4pt;"><b><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">9         10        11        12 <o:p></o:p></span></b></div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 106.2pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 35.4pt;"><b><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">.            .           .           .  <o:p></o:p></span></b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 14.15pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 14.15pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 14.15pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 14.15pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">7. Una tarjeta para llamar por teléfono tiene un cupo disponible de dos horas, dieciséis minutos y 20 segundos, se hace con ella una llamada de cincuenta y ocho minutos con 49 segundos.  ¿Cuál es el nuevo cupo disponible de la tarjeta?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 6.15pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 6.15pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 6.15pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 6.15pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">8. El producto de las temperaturas que se registraron en Bogotá a las 5:30 a.m. en los últimos 5 días es de 12ºC. Si se registró una temperatura diferente en cada día y si todas las temperaturas son enteras. ¿Cuál es la suma de las temperaturas<b>?<o:p></o:p></b></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 9.4pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 9.4pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 9.4pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 9.4pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">9. Una caja contiene más de 100 canicas. Cuando las canicas se distribuyen en partes iguales entre 6,7 u 8 niños, sobra una canica cada vez. ¿Cuál es el menor valor de canicas que puede contener la caja?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 8.35pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 8.35pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 8.35pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 8.35pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: justify;"><span style="font-family: 'Times New Roman', serif; font-size: 10pt;">10.En la escuela secundaria Santa María, el 30% de los estudiantes que pertenecen al club de matemáticas, pertenecen también al club de Ciencias y el 80% de los estudiantes que pertenecen que pertenecen al club de Ciencias pertenecen también al club de matemáticas. Hay 15 estudiantes que pertenecen al club de Ciencias. ¿Cuántos estudiantes pertenecen al club de matemáticas?<o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom-style: none; border-collapse: collapse; border-color: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; width: 595px;"><tbody>
<tr style="height: 13.2pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">   <td style="border: solid black 1.0pt; height: 13.2pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 1<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 13.2pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOLUCIÓN 2<o:p></o:p></span></div></td>   <td style="border-left: none; border: solid black 1.0pt; height: 13.2pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div align="center" class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto; text-align: center;"><span lang="ES" style="font-family: 'Times New Roman', serif; font-size: 10pt;">SOL1UCIÓN 3<o:p></o:p></span></div></td>  </tr>
<tr style="height: 84.75pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">   <td style="border-top: none; border: solid black 1.0pt; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.8pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>   <td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 84.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 148.85pt;" valign="top" width="198"><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-add-space: auto;"><br />
</div></td>  </tr>
</tbody></table><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;"><br />
</div>

Taller Diagnostico

En este encuentro se contó con la participación de 20 estudiantes donde se les presentó un taller compuesto por diez problemas para que lo r...

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