Rocks that made of broken pieces of rocks and minerals:

Conglomerate - a rock composed of rounded fragments of rocks and minerals cemented together. The fragments can vary in size and can include a variety of different rock types.

Breccia - similar to conglomerate, but the fragments are angular instead of rounded. They are also cemented together by minerals.

Tillite - a type of sedimentary rock formed from compacted glacial till, which is a mixture of unsorted rocks, minerals, and clay that is deposited by glaciers.

Fault breccia - a type of breccia that forms along fault lines, where rocks on either side of the fault are broken and jumbled together.

Impact breccia - formed during meteorite impacts, where the energy of the impact shatters rocks and minerals, creating a brecciated texture.

Hydraulic breccia - formed when rocks are broken apart and cemented together by the pressure of flowing water, often found in stream beds or river channels.

Volcanic breccia - formed from the consolidation of volcanic fragments, such as ash, pumice, and volcanic rock fragments, ejected during explosive volcanic activity.

These are just a few examples of rocks that are made up of broken pieces of rocks and minerals. There are many variations and types of rocks in this category, depending on the specific geological processes involved in their formation.