--- a
+++ b/tests/unit/backends/test_emis.py
@@ -0,0 +1,26 @@
+import pytest
+from trino import exceptions as trino_exceptions
+
+from ehrql.backends.emis import EMISBackend
+
+
+@pytest.mark.parametrize(
+    "exception",
+    [
+        # These are trino errors that we may want to support in future with
+        # custom exit codes, but currently inherit from the base method
+        # Database errors
+        trino_exceptions.DatabaseError,
+        # OperationError is a subclass of DatabaseError
+        trino_exceptions.OperationalError,
+        # TrinoQueryError is encountered for over-complex/over-nested queries
+        trino_exceptions.TrinoQueryError,
+        # TrinoUserError is encountered for out of range numbers
+        trino_exceptions.TrinoUserError,
+        # TrinoUserError is encountered for bad/out of range dates
+        trino_exceptions.TrinoDataError,
+    ],
+)
+def test_backend_exceptions(exception):
+    backend = EMISBackend()
+    assert backend.get_exit_status_for_exception(exception) is None