Check the Android Market and you will find an update the Maps. The new version is 5.7.0, once updated you will see a splash screen

Android map splash screen

To enable offline maps, go to “More” from the menu.

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Select the “Labs” option

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Tap on the “Download map area” section to enable it. You will see the green tick mark to indicate that it is enabled.

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Next, go to the city or are you are interested in. Tap on any place, you will get the popup place label. Click on the right arrow (>)

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You will get the place details.  Click on the “More” button.

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You will see the “Download Map Area” option. Tap on it to start downloading the map

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The map is downloading.

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After it has finished the download, the area that you have offline is indicated by a square on the map.

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The offline map is now working. You can test it by setting Airplane mode on your device.

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[Via smarterbysharing]