diff --git a/Lib/test/test_fstring.py b/Lib/test/test_fstring.py
index ac5aa9a..e0bb5b5 100644
--- a/Lib/test/test_fstring.py
+++ b/Lib/test/test_fstring.py
@@ -583,7 +583,7 @@
                              ])
 
         # Different error message is raised for other whitespace characters.
-        self.assertAllRaise(SyntaxError, 'invalid character in identifier',
+        self.assertAllRaise(SyntaxError, r"invalid non-printable character U\+00A0",
                             ["f'''{\xa0}'''",
                              "\xa0",
                              ])
diff --git a/Lib/test/test_source_encoding.py b/Lib/test/test_source_encoding.py
index a0bd741..5ca4346 100644
--- a/Lib/test/test_source_encoding.py
+++ b/Lib/test/test_source_encoding.py
@@ -57,6 +57,9 @@
         # one byte in common with the UTF-16-LE BOM
         self.assertRaises(SyntaxError, eval, b'\xff\x20')
 
+        # one byte in common with the UTF-8 BOM
+        self.assertRaises(SyntaxError, eval, b'\xef\x20')
+
         # two bytes in common with the UTF-8 BOM
         self.assertRaises(SyntaxError, eval, b'\xef\xbb\x20')
 
diff --git a/Lib/test/test_unicode_identifiers.py b/Lib/test/test_unicode_identifiers.py
index 07332c4..5b9ced5 100644
--- a/Lib/test/test_unicode_identifiers.py
+++ b/Lib/test/test_unicode_identifiers.py
@@ -20,9 +20,11 @@
     def test_invalid(self):
         try:
             from test import badsyntax_3131
-        except SyntaxError as s:
-            self.assertEqual(str(s),
-              "invalid character in identifier (badsyntax_3131.py, line 2)")
+        except SyntaxError as err:
+            self.assertEqual(str(err),
+              "invalid character '€' (U+20AC) (badsyntax_3131.py, line 2)")
+            self.assertEqual(err.lineno, 2)
+            self.assertEqual(err.offset, 1)
         else:
             self.fail("expected exception didn't occur")