diff --git a/test/test_arraycontext.py b/test/test_arraycontext.py
index 0975d5ce..3b95b38b 100644
--- a/test/test_arraycontext.py
+++ b/test/test_arraycontext.py
@@ -44,7 +44,7 @@
 from arraycontext.pytest import (_PytestPyOpenCLArrayContextFactoryWithClass,
                                  _PytestPytatoPyOpenCLArrayContextFactory,
                                  _PytestEagerJaxArrayContextFactory,
-                                 _PytestPytatoJaxArrayContextFactory)
+                                 _PytestPytatoJaxArrayContextFactory,
                                  _PytestPytatoPyOpenCLArrayContextFactory,
                                  _PytestNumpyArrayContextFactory)
 
@@ -1138,7 +1138,11 @@ def test_flatten_with_leaf_class(actx_factory):
 # {{{ test from_numpy and to_numpy
 
 def test_numpy_conversion(actx_factory):
+    from arraycontext import NumpyArrayContext
+
     actx = actx_factory()
+    if isinstance(actx, NumpyArrayContext):
+        pytest.skip("Irrelevant tests  for NumpyArrayContext")
 
     nelements = 42
     ac = MyContainer(
@@ -1317,6 +1321,8 @@ def test_container_equality(actx_factory):
 class Foo:
     u: DOFArray
 
+    __array_priority__ = 1  # disallow numpy arithmetic to take precedence
+
     @property
     def array_context(self):
         return self.u.array_context