diff --git a/test/dofs/test_pyr5_facet_maps.jl b/test/dofs/test_pyr5_facet_maps.jl
new file mode 100644
index 0000000..3382e1c
--- /dev/null
+++ b/test/dofs/test_pyr5_facet_maps.jl
@@ -0,0 +1,54 @@
+# This file is a part of JuliaFEM.
+# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
+
+using Test
+using LinearAlgebra
+using JuliaFEM
+using JuliaFEM: Pyr5FacetMaps, build_pyr5_facet_maps, pyr5_edge_orientation_sign
+using JuliaFEM: FacetMassKernel, EdgeMassKernel
+using JuliaFEM: DOFBasedCOOAssembler, DOFBasedCOOCache, assemble!, extract_system
+
+@testset "build_pyr5_facet_maps (single pyramid)" begin
+    nodes = Vec{3, Float64}[reference_coordinates(Pyr5())...]
+    conn = ntuple(i -> UInt32(i), 5)
+    mesh = Mesh{Pyr5}(nodes, [conn])
+    maps = build_pyr5_facet_maps(mesh)
+    @test maps isa Pyr5FacetMaps
+    @test maps.n_edges == 8
+    @test maps.n_faces == 5
+
+    for le in 1:8
+        @test pyr5_edge_orientation_sign(conn, le) == maps.elem_edge_orientation[le, 1]
+    end
+
+    S = @DOFSet{e::DOF{Float64, Edge}}
+    elements, handler = create_elements!(mesh, Element{Pyr5, Lagrange{1}, S})
+    @test handler.total_dofs == 8
+    @test elements[1].dof_indices isa NTuple{8, UInt64}
+end
+
+@testset "FacetMassKernel / EdgeMassKernel on reference Pyr5" begin
+    nodes = Vec{3, Float64}[reference_coordinates(Pyr5())...]
+    conn = ntuple(i -> UInt32(i), 5)
+    mesh = Mesh{Pyr5}(nodes, [conn])
+    X = nodes
+
+    expected_face_area = sum(pyr_face_area_physical(X, lf) for lf in 1:5)
+    expected_edge_len = sum(pyr_edge_length_physical(X, le) for le in 1:8)
+
+    Sf = @DOFSet{flux::DOF{Float64, Face}}
+    ef, hf = create_elements!(mesh, Element{Pyr5, Lagrange{1}, Sf})
+    kf = FacetMassKernel(mesh)
+    cf = DOFBasedCOOCache(ef, hf, mesh, kf)
+    assemble!(cf, DOFBasedCOOAssembler(), kf, mesh)
+    Kf, _ = extract_system(cf)
+    @test sum(diag(Matrix(Kf))) ≈ expected_face_area rtol = 1e-10
+
+    Se = @DOFSet{circ::DOF{Float64, Edge}}
+    ee, he = create_elements!(mesh, Element{Pyr5, Lagrange{1}, Se})
+    ke = EdgeMassKernel(mesh)
+    ce = DOFBasedCOOCache(ee, he, mesh, ke)
+    assemble!(ce, DOFBasedCOOAssembler(), ke, mesh)
+    Ke, _ = extract_system(ce)
+    @test sum(diag(Matrix(Ke))) ≈ expected_edge_len rtol = 1e-10
+end