diff --git a/pandas/tests/extension/base/ops.py b/pandas/tests/extension/base/ops.py
index cd5e55d9871b2f..fd8053841d78e1 100644
--- a/pandas/tests/extension/base/ops.py
+++ b/pandas/tests/extension/base/ops.py
@@ -119,6 +119,12 @@ def test_direct_arith_with_series_returns_not_implemented(self, data):
                 "{} does not implement add".format(data.__class__.__name__)
             )
 
+    def test_arith_diff_lengths(self, data, all_arithmetic_operators):
+        op = self.get_op_from_name(all_arithmetic_operators)
+        other = data[:3]
+        with pytest.raises(ValueError):
+            op(data, other)
+
 
 class BaseComparisonOpsTests(BaseOpsUtil):
     """Various Series and DataFrame comparison ops methods."""
@@ -164,3 +170,9 @@ def test_direct_arith_with_series_returns_not_implemented(self, data):
             raise pytest.skip(
                 "{} does not implement __eq__".format(data.__class__.__name__)
             )
+
+    def test_compare_diff_lengths(self, data, all_compare_operators):
+        op = self.get_op_from_name(all_compare_operators)
+        other = data[:3]
+        with pytest.raises(ValueError):
+            op(data, other)
diff --git a/pandas/tests/extension/decimal/test_decimal.py b/pandas/tests/extension/decimal/test_decimal.py
index 6281c5360cd031..5090ff6b3a4702 100644
--- a/pandas/tests/extension/decimal/test_decimal.py
+++ b/pandas/tests/extension/decimal/test_decimal.py
@@ -299,6 +299,12 @@ def _check_divmod_op(self, s, op, other, exc=NotImplementedError):
     def test_error(self):
         pass
 
+    def test_arith_diff_lengths(self):
+        # TODO
+        # Raise ValueError when carrying out arithmetic operation
+        # on two decimal arrays of different lengths
+        pass
+
 
 class TestComparisonOps(BaseDecimal, base.BaseComparisonOpsTests):
 
@@ -324,6 +330,11 @@ def test_compare_array(self, data, all_compare_operators):
                                    for i in alter]
         self._compare_other(s, data, op_name, other)
 
+    def test_compare_diff_lengths(self):
+        # TODO:
+        # Raise ValueError when comparing decimal arrays of different lenghts
+        pass
+
 
 class DecimalArrayWithoutFromSequence(DecimalArray):
     """Helper class for testing error handling in _from_sequence."""
diff --git a/pandas/tests/extension/json/test_json.py b/pandas/tests/extension/json/test_json.py
index a35997b07fd83d..209a85e300b549 100644
--- a/pandas/tests/extension/json/test_json.py
+++ b/pandas/tests/extension/json/test_json.py
@@ -291,9 +291,13 @@ def _check_divmod_op(self, s, op, other, exc=NotImplementedError):
             s, op, other, exc=TypeError
         )
 
+    def test_arith_diff_lengths(self):
+        pass
+
 
 class TestComparisonOps(BaseJSON, base.BaseComparisonOpsTests):
-    pass
+    def test_compare_diff_lengths(self):
+        pass
 
 
 class TestPrinting(BaseJSON, base.BasePrintingTests):
diff --git a/pandas/tests/extension/test_categorical.py b/pandas/tests/extension/test_categorical.py
index 6106bc3d586205..c8079babc9e91e 100644
--- a/pandas/tests/extension/test_categorical.py
+++ b/pandas/tests/extension/test_categorical.py
@@ -215,6 +215,9 @@ def _check_divmod_op(self, s, op, other, exc=NotImplementedError):
             s, op, other, exc=TypeError
         )
 
+    def test_arith_diff_lengths(self):
+        pass
+
 
 class TestComparisonOps(base.BaseComparisonOpsTests):
 
@@ -233,3 +236,11 @@ def _compare_other(self, s, data, op_name, other):
         else:
             with pytest.raises(TypeError):
                 op(data, other)
+
+    @pytest.mark.parametrize('op_name',
+                             ['__eq__', '__ne__'])
+    def test_compare_diff_lengths(self, data, op_name):
+        op = self.get_op_from_name(op_name)
+        other = data[:3]
+        with pytest.raises(ValueError):
+            op(data, other)
diff --git a/pandas/tests/extension/test_period.py b/pandas/tests/extension/test_period.py
index 08e21fc30ad100..a43f7aab93bd79 100644
--- a/pandas/tests/extension/test_period.py
+++ b/pandas/tests/extension/test_period.py
@@ -119,6 +119,12 @@ def test_add_series_with_extension_array(self, data):
     def test_error(self):
         pass
 
+    def test_arith_diff_lengths(self, data):
+        op = self.get_op_from_name('__sub__')
+        other = data[:3]
+        with pytest.raises(ValueError):
+            op(data, other)
+
     def test_direct_arith_with_series_returns_not_implemented(self, data):
         # Override to use __sub__ instead of __add__
         other = pd.Series(data)
diff --git a/pandas/tests/extension/test_sparse.py b/pandas/tests/extension/test_sparse.py
index ea849a78cda122..da269cbb4d0369 100644
--- a/pandas/tests/extension/test_sparse.py
+++ b/pandas/tests/extension/test_sparse.py
@@ -321,6 +321,17 @@ def test_arith_series_with_array(self, data, all_arithmetic_operators):
             all_arithmetic_operators
         )
 
+    def test_arith_diff_lengths(self, data, all_arithmetic_operators):
+        from pandas.core.dtypes.common import is_float_dtype
+
+        if is_float_dtype(data):
+            op = self.get_op_from_name(all_arithmetic_operators)
+            other = data[:3]
+            with pytest.raises(ValueError):
+                op(data, other)
+        else:
+            pass
+
 
 class TestComparisonOps(BaseSparseTests, base.BaseComparisonOpsTests):
 
@@ -348,6 +359,17 @@ def _compare_other(self, s, data, op_name, other):
         result = op(s, other)
         tm.assert_series_equal(result, expected)
 
+    def test_compare_diff_lengths(self, data, all_compare_operators):
+        from pandas.core.dtypes.common import is_float_dtype
+
+        if is_float_dtype(data):
+            op = self.get_op_from_name(all_compare_operators)
+            other = data[:3]
+            with pytest.raises(ValueError):
+                op(data, other)
+        else:
+            pass
+
 
 class TestPrinting(BaseSparseTests, base.BasePrintingTests):
     @pytest.mark.xfail(reason='Different repr', strict=True)