Sedimentary rock composed of older fragments of rock is called clastic sedimentary rock.

Here's why:

* Clastic refers to the origin of the rock fragments (clasts). These fragments come from pre-existing rocks that have been weathered and eroded.

* Sedimentary indicates that the rock was formed from the accumulation and cementation of sediments.

Here are some examples of clastic sedimentary rocks:

* Conglomerate: Made up of large, rounded clasts (gravel).

* Breccia: Made up of large, angular clasts (gravel).

* Sandstone: Made up of sand-sized clasts.

* Siltstone: Made up of silt-sized clasts.

* Shale: Made up of clay-sized clasts.