diff --git a/django/contrib/gis/db/backends/mysql/operations.py b/django/contrib/gis/db/backends/mysql/operations.py
index cfd780022f4..de64bc95db0 100644
--- a/django/contrib/gis/db/backends/mysql/operations.py
+++ b/django/contrib/gis/db/backends/mysql/operations.py
@@ -34,8 +34,11 @@ class MySQLOperations(BaseSpatialOperations, DatabaseOperations):
     }
 
     function_names = {
+        'Difference': 'ST_Difference',
         'Distance': 'ST_Distance',
+        'Intersection': 'ST_Intersection',
         'Length': 'GLength',
+        'SymDifference': 'ST_SymDifference',
         'Union': 'ST_Union',
     }
 
@@ -48,12 +51,12 @@ class MySQLOperations(BaseSpatialOperations, DatabaseOperations):
     def unsupported_functions(self):
         unsupported = {
             'AsGeoJSON', 'AsGML', 'AsKML', 'AsSVG', 'BoundingCircle',
-            'Difference', 'ForceRHR', 'GeoHash', 'Intersection', 'MemSize',
+            'ForceRHR', 'GeoHash', 'MemSize',
             'Perimeter', 'PointOnSurface', 'Reverse', 'Scale', 'SnapToGrid',
-            'SymDifference', 'Transform', 'Translate',
+            'Transform', 'Translate',
         }
         if self.connection.mysql_version < (5, 6, 1):
-            unsupported.update({'Distance', 'Union'})
+            unsupported.update({'Difference', 'Distance', 'Intersection', 'SymDifference', 'Union'})
         return unsupported
 
     def geo_db_type(self, f):
diff --git a/docs/ref/contrib/gis/db-api.txt b/docs/ref/contrib/gis/db-api.txt
index 94228027e1d..75baf93b5a4 100644
--- a/docs/ref/contrib/gis/db-api.txt
+++ b/docs/ref/contrib/gis/db-api.txt
@@ -312,12 +312,12 @@ Function                              PostGIS  Oracle  MySQL        SpatiaLite
 :class:`AsSVG`                        X                             X
 :class:`BoundingCircle`               X
 :class:`Centroid`                     X        X       X            X
-:class:`Difference`                   X        X                    X
+:class:`Difference`                   X        X       X (≥ 5.6.1)  X
 :class:`Distance`                     X        X       X (≥ 5.6.1)  X
 :class:`Envelope`                     X                X            X
 :class:`ForceRHR`                     X
 :class:`GeoHash`                      X
-:class:`Intersection`                 X        X                    X
+:class:`Intersection`                 X        X       X (≥ 5.6.1)  X
 :class:`Length`                       X        X       X            X
 :class:`MemSize`                      X
 :class:`NumGeometries`                X        X       X            X
@@ -327,7 +327,7 @@ Function                              PostGIS  Oracle  MySQL        SpatiaLite
 :class:`Reverse`                      X        X                    X (≥ 4.0)
 :class:`Scale`                        X                             X
 :class:`SnapToGrid`                   X                             X (≥ 3.1)
-:class:`SymDifference`                X        X                    X
+:class:`SymDifference`                X        X       X (≥ 5.6.1)  X
 :class:`Transform`                    X        X                    X
 :class:`Translate`                    X                             X
 :class:`Union`                        X        X       X (≥ 5.6.1)  X
diff --git a/tests/gis_tests/geoapp/test_functions.py b/tests/gis_tests/geoapp/test_functions.py
index 745a0dee6f6..ff99cc48551 100644
--- a/tests/gis_tests/geoapp/test_functions.py
+++ b/tests/gis_tests/geoapp/test_functions.py
@@ -169,9 +169,9 @@ class GISFunctionsTests(TestCase):
             qs = qs.exclude(name='Texas')
 
         for c in qs:
-            self.assertEqual(c.mpoly.difference(geom), c.diff)
+            self.assertTrue(c.mpoly.difference(geom).equals(c.diff))
 
-    @skipUnlessDBFeature("has_Difference_function")
+    @skipUnlessDBFeature("has_Difference_function", "has_Transform_function")
     def test_difference_mixed_srid(self):
         """Testing with mixed SRID (Country has default 4326)."""
         geom = Point(556597.4, 2632018.6, srid=3857)  # Spherical mercator
@@ -180,7 +180,7 @@ class GISFunctionsTests(TestCase):
         if spatialite:
             qs = qs.exclude(name='Texas')
         for c in qs:
-            self.assertEqual(c.mpoly.difference(geom), c.difference)
+            self.assertTrue(c.mpoly.difference(geom).equals(c.difference))
 
     @skipUnlessDBFeature("has_Envelope_function")
     def test_envelope(self):
@@ -218,8 +218,8 @@ class GISFunctionsTests(TestCase):
         geom = Point(5, 23, srid=4326)
         qs = Country.objects.annotate(inter=functions.Intersection('mpoly', geom))
         for c in qs:
-            if spatialite:
-                # When the intersection is empty, Spatialite returns None
+            if spatialite or mysql:
+                # When the intersection is empty, Spatialite and MySQL return None
                 expected = None
             else:
                 expected = c.mpoly.intersection(geom)
@@ -376,9 +376,7 @@ class GISFunctionsTests(TestCase):
         geom = Point(5, 23, srid=4326)
         qs = Country.objects.annotate(sym_difference=functions.SymDifference('mpoly', geom))
         for country in qs:
-            # Ordering might differ in collections
-            self.assertSetEqual(set(g.wkt for g in country.mpoly.sym_difference(geom)),
-                                set(g.wkt for g in country.sym_difference))
+            self.assertTrue(country.mpoly.sym_difference(geom).equals(country.sym_difference))
 
     @skipUnlessDBFeature("has_Transform_function")
     def test_transform(self):
@@ -431,14 +429,11 @@ class GISFunctionsTests(TestCase):
             # SpatiaLite).
             return
         for c in qs:
-            self.assertEqual(c.mpoly.difference(geom), c.difference)
-            if not spatialite:
+            self.assertTrue(c.mpoly.difference(geom).equals(c.difference))
+            if not (spatialite or mysql):
                 self.assertEqual(c.mpoly.intersection(geom), c.intersection)
-            # Ordering might differ in collections
-            self.assertSetEqual(set(g.wkt for g in c.mpoly.sym_difference(geom)),
-                                set(g.wkt for g in c.sym_difference))
-            self.assertSetEqual(set(g.wkt for g in c.mpoly.union(geom)),
-                                set(g.wkt for g in c.union))
+            self.assertTrue(c.mpoly.sym_difference(geom).equals(c.sym_difference))
+            self.assertTrue(c.mpoly.union(geom).equals(c.union))
 
     @skipUnlessDBFeature("has_Union_function")
     def test_union(self):