diff --git a/Lib/test/test_unicode.py b/Lib/test/test_unicode.py
--- a/Lib/test/test_unicode.py
+++ b/Lib/test/test_unicode.py
@@ -176,6 +176,9 @@
 
         self.assertRaises(TypeError, 'hello'.find)
         self.assertRaises(TypeError, 'hello'.find, 42)
+        
+        self.assertRaisesRegexp(TypeError, r'^find\(',
+                                'hello'.find, 'x', None, None, None)
 
     def test_rfind(self):
         string_tests.CommonTest.test_rfind(self)
@@ -184,6 +187,9 @@
         self.checkequalnofix(12,  'abcdefghiabc', 'rfind', '')
         self.checkequalnofix(12, 'abcdefghiabc', 'rfind',  '')
 
+        self.assertRaisesRegexp(TypeError, r'^rfind\(',
+                                'hello'.rfind, 'x', None, None, None)
+
     def test_index(self):
         string_tests.CommonTest.test_index(self)
         self.checkequalnofix(0, 'abcdefghiabc', 'index',  '')
@@ -195,6 +201,9 @@
         self.assertRaises(ValueError, 'abcdefghi'.index,  'ghi', 8)
         self.assertRaises(ValueError, 'abcdefghi'.index,  'ghi', -1)
 
+        self.assertRaisesRegexp(TypeError, r'^index\(',
+                                'hello'.index, 'x', None, None, None)
+
     def test_rindex(self):
         string_tests.CommonTest.test_rindex(self)
         self.checkequalnofix(12, 'abcdefghiabc', 'rindex',  '')
@@ -208,6 +217,9 @@
         self.assertRaises(ValueError, 'abcdefghi'.rindex,  'ghi', 0, 8)
         self.assertRaises(ValueError, 'abcdefghi'.rindex,  'ghi', 0, -1)
 
+        self.assertRaisesRegexp(TypeError, r'^rindex\(',
+                                'hello'.rindex, 'x', None, None, None)
+
     def test_maketrans_translate(self):
         # these work with plain translate()
         self.checkequalnofix('bbbc', 'abababc', 'translate',