When I swipe the home page the apps are staying and being superimposed by the next page of apps.

why do the apps from the home page stay on the screen when swiping to another page of apps? It appears the home screen is locked and the other apps are then superimposed over them.

Have you tried resetting the iPad?  Do this by pressing and holding the home and power buttons till you see the apple logo on the screen at which point you can release them and the iPad will finish booting back up.

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