diff --git a/django/utils/dateparse.py b/django/utils/dateparse.py
index a693dcbb68..b4bd559a66 100644
--- a/django/utils/dateparse.py
+++ b/django/utils/dateparse.py
@@ -15,16 +15,16 @@ date_re = re.compile(
     r'(?P<year>\d{4})-(?P<month>\d{1,2})-(?P<day>\d{1,2})$'
 )
 
+time_re = re.compile(
+    r'(?P<hour>\d{1,2}):(?P<minute>\d{1,2})'
+    r'(?::(?P<second>\d{1,2})(?:\.(?P<microsecond>\d{1,6})\d{0,6})?)?'
+)
+
 datetime_re = re.compile(
     r'(?P<year>\d{4})-(?P<month>\d{1,2})-(?P<day>\d{1,2})'
     r'[T ](?P<hour>\d{1,2}):(?P<minute>\d{1,2})'
     r'(?::(?P<second>\d{1,2})(?:\.(?P<microsecond>\d{1,6})\d{0,6})?)?'
-    r'(?P<tzinfo>Z|[+-]\d{1,2}:\d{1,2})?$'
-)
-
-time_re = re.compile(
-    r'(?P<hour>\d{1,2}):(?P<minute>\d{1,2})'
-    r'(?::(?P<second>\d{1,2})(?:\.(?P<microsecond>\d{1,6})\d{0,6})?)?'
+    r'(?P<tzinfo>Z|[+-]\d{2}:?\d{2})?$'
 )
 
 def parse_date(value):
@@ -73,7 +73,7 @@ def parse_datetime(value):
         if tzinfo == 'Z':
             tzinfo = utc
         elif tzinfo is not None:
-            offset = 60 * int(tzinfo[1:3]) + int(tzinfo[4:6])
+            offset = 60 * int(tzinfo[1:3]) + int(tzinfo[-2:])
             if tzinfo[0] == '-':
                 offset = -offset
             tzinfo = FixedOffset(offset)
diff --git a/tests/regressiontests/utils/dateparse.py b/tests/regressiontests/utils/dateparse.py
new file mode 100644
index 0000000000..1a6ca646b8
--- /dev/null
+++ b/tests/regressiontests/utils/dateparse.py
@@ -0,0 +1,44 @@
+from __future__ import unicode_literals
+
+from datetime import date, time, datetime
+
+from django.utils.dateparse import parse_date, parse_time, parse_datetime
+from django.utils import unittest
+from django.utils.tzinfo import FixedOffset
+
+
+class DateParseTests(unittest.TestCase):
+
+    def test_parse_date(self):
+        # Valid inputs
+        self.assertEqual(parse_date('2012-04-23'), date(2012, 4, 23))
+        self.assertEqual(parse_date('2012-4-9'), date(2012, 4, 9))
+        # Invalid inputs
+        self.assertEqual(parse_date('20120423'), None)
+        self.assertRaises(ValueError, parse_date, '2012-04-56')
+
+    def test_parse_time(self):
+        # Valid inputs
+        self.assertEqual(parse_time('09:15:00'), time(9, 15))
+        self.assertEqual(parse_time('10:10'), time(10, 10))
+        self.assertEqual(parse_time('10:20:30.400'), time(10, 20, 30, 400000))
+        self.assertEqual(parse_time('4:8:16'), time(4, 8, 16))
+        # Invalid inputs
+        self.assertEqual(parse_time('091500'), None)
+        self.assertRaises(ValueError, parse_time, '09:15:90')
+
+    def test_parse_datetime(self):
+        # Valid inputs
+        self.assertEqual(parse_datetime('2012-04-23T09:15:00'),
+            datetime(2012, 4, 23, 9, 15))
+        self.assertEqual(parse_datetime('2012-4-9 4:8:16'),
+            datetime(2012, 4, 9, 4, 8, 16))
+        self.assertEqual(parse_datetime('2012-04-23T09:15:00Z'),
+            datetime(2012, 4, 23, 9, 15, 0, 0, FixedOffset(0)))
+        self.assertEqual(parse_datetime('2012-4-9 4:8:16-0320'),
+            datetime(2012, 4, 9, 4, 8, 16, 0, FixedOffset(-200)))
+        self.assertEqual(parse_datetime('2012-04-23T10:20:30.400+02:30'),
+            datetime(2012, 4, 23, 10, 20, 30, 400000, FixedOffset(150)))
+        # Invalid inputs
+        self.assertEqual(parse_datetime('20120423091500'), None)
+        self.assertRaises(ValueError, parse_datetime, '2012-04-56T09:15:90')
diff --git a/tests/regressiontests/utils/tests.py b/tests/regressiontests/utils/tests.py
index a7deeeefae..09547a0c95 100644
--- a/tests/regressiontests/utils/tests.py
+++ b/tests/regressiontests/utils/tests.py
@@ -26,3 +26,4 @@ from .timezone import TimezoneTests
 from .crypto import TestUtilsCryptoPBKDF2
 from .archive import TestZip, TestTar, TestGzipTar, TestBzip2Tar
 from .regex_helper import NormalizeTests
+from .dateparse import DateParseTests