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Cuadrados mágicos resolución interactiva
Otra Educación
MATHEMATICAL
PUZZLES

Cuadrados mágicos interactivos

Rellena la siguiente tabla, sabiendo que el valor de la suma de cada fila, cada columna y cada diagonal debe ser la misma.

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File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
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Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" rel="nofollow">

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Filename: pasatiempos/cuadrados_magicos.php

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Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 23
Function: _error_handler

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: Trying to access array offset on value of type null

Filename: pasatiempos/cuadrados_magicos.php

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Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 23
Function: _error_handler

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

https://mathematicsforkids.com/" alt="?">

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Severity: Warning

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Filename: pasatiempos/cuadrados_magicos.php

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Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 26
Function: _error_handler

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

A PHP Error was encountered

Severity: Warning

Message: Trying to access array offset on value of type null

Filename: pasatiempos/cuadrados_magicos.php

Line Number: 26

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 26
Function: _error_handler

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

51 6
71 26 46 11
1 56 36 61
¿Puedes calcular el valor de cada uno de los elementos?

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Severity: 8192

Message: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated

Filename: core/Config.php

Line Number: 342

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 16
Function: base_url

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

https://mathematicsforkids.com/" alt="" class="pulsable siguiente" data-show="#input_%index%, #second_question" data-hide="#first_question" style="height:50px;width:auto;" />

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" placeholder="?" type="text" value="" size="3" class="incognita valores" data-objeto="imagen_incognita_

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" data-value="16" />

A PHP Error was encountered

Severity: 8192

Message: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated

Filename: core/Config.php

Line Number: 342

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 16
Function: base_url

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

https://mathematicsforkids.com/" alt="" class="pulsable siguiente" data-show="#input_%index%, #second_question" data-hide="#first_question" style="height:50px;width:auto;" />

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" placeholder="?" type="text" value="" size="3" class="incognita valores" data-objeto="imagen_incognita_

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" data-value="41" />

A PHP Error was encountered

Severity: 8192

Message: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated

Filename: core/Config.php

Line Number: 342

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 16
Function: base_url

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

https://mathematicsforkids.com/" alt="" class="pulsable siguiente" data-show="#input_%index%, #second_question" data-hide="#first_question" style="height:50px;width:auto;" />

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" placeholder="?" type="text" value="" size="3" class="incognita valores" data-objeto="imagen_incognita_

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" data-value="21" />

A PHP Error was encountered

Severity: 8192

Message: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated

Filename: core/Config.php

Line Number: 342

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 16
Function: base_url

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

https://mathematicsforkids.com/" alt="" class="pulsable siguiente" data-show="#input_%index%, #second_question" data-hide="#first_question" style="height:50px;width:auto;" />

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" placeholder="?" type="text" value="" size="3" class="incognita valores" data-objeto="imagen_incognita_

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" data-value="66" />

A PHP Error was encountered

Severity: 8192

Message: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated

Filename: core/Config.php

Line Number: 342

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 16
Function: base_url

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

https://mathematicsforkids.com/" alt="" class="pulsable siguiente" data-show="#input_%index%, #second_question" data-hide="#first_question" style="height:50px;width:auto;" />

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" placeholder="?" type="text" value="" size="3" class="incognita valores" data-objeto="imagen_incognita_

A PHP Error was encountered

Severity: 8192

Message: basename(): Passing null to parameter #1 ($path) of type string is deprecated

Filename: incs/inputs_soluciones.php

Line Number: 18

Backtrace:

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/incs/inputs_soluciones.php
Line: 18
Function: basename

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/views/pasatiempos/cuadrados_magicos.php
Line: 45
Function: include

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/_FrontendController.php
Line: 74
Function: view

File: /homepages/33/d349327298/htdocs/mathematicsforkids/application/controllers/Pasatiempos.php
Line: 65
Function: cargarVista

File: /homepages/33/d349327298/htdocs/mathematicsforkids/index.php
Line: 318
Function: require_once

" data-value="31" />
Subir

Rellena los cuadrados en blanco debajo de cada dibujo y pulsa en "Comprobar" cuando hayas terminado.
Un cuadrado mágico es una tabla en la que todas las filas, columnas y las dos diagonales suman igual
Resolver un cuadrado mágico tiene una cierta dificultad, aunque siguiendo un orden no deberías tener problema
Si te atascas, empieza primero resolviendo la suma de algunas de las filas o columnas completas
Una vez hecho, ya podrás calcular el valor de alguna columna o fila en la que solo haya un cuadrado desconocido
En cuanto vayas averiguando el valor de cada imagen, te quedará una nueva fila o columna con un solo dato desconocido