All permanent magnets have a north and a south side - even if you break them.
But what about strength?
Neodymium and ferrite have the same strength on all sides. That is, the magnets have the same strength on the surfaces and the same strength on the sides, but there can be a big difference in how much strength there is on the sides compared to the surfaces, depending on whether the magnets are axially magnetised on the large surfaces, or whether they are diametrically magnetised on the sides.
In other words: they are not equally strong all the way around. But the magnetism from the north side of the magnet is just as strong as the south side.
Unless you change the shape of the magnet...
Exception to the rule
The strength in Gauss will always be the same for the entire magnet. But, the strength in grams/kilo can be changed if you change the shape of the magnet. However, this does not apply to all shapes, because if you take a cone-shaped magnet, the flux lines gather on the small side, and thus you still achieve the same high strength on the smallest surface. So for the vast majority of magnets there will be no difference in the strength of each side. It is distance that creates strength loss - not difference between the poles.
Can you block magnetism on one side?
Raw magnets have full strength from all sides. And depending on whether you choose magnets with axial magnetism or diametrical magnetism, you get the greatest strength on the side where there is only the north or only the south pole. But if you need to block the strength on one side, this can be done by distance; meaning that the magnet does not make full contact on one side. That is why pot magnets, where the magnet is placed in a metal pot, only have 1 very magnetic side: namely the side that is free and has no metal to block the magnetism. But you cannot "turn off" the magnetism on a raw magnet. Then you need to get hold of electromagnets.