| diff --git a/tests/handlers/test_presence.py b/tests/handlers/test_presence.py
index ce330e79cc..1ffab709fc 100644
--- a/tests/handlers/test_presence.py
+++ b/tests/handlers/test_presence.py
@@ -729,7 +729,7 @@ class PresenceJoinTestCase(unittest.HomeserverTestCase):
         )
         self.assertEqual(expected_state.state, PresenceState.ONLINE)
         self.federation_sender.send_presence_to_destinations.assert_called_once_with(
-            destinations=["server2"], states={expected_state}
+            destinations={"server2"}, states=[expected_state]
         )
 
         #
@@ -740,7 +740,7 @@ class PresenceJoinTestCase(unittest.HomeserverTestCase):
         self._add_new_user(room_id, "@bob:server3")
 
         self.federation_sender.send_presence_to_destinations.assert_called_once_with(
-            destinations=["server3"], states={expected_state}
+            destinations={"server3"}, states=[expected_state]
         )
 
     def test_remote_gets_presence_when_local_user_joins(self):
@@ -788,14 +788,8 @@ class PresenceJoinTestCase(unittest.HomeserverTestCase):
             self.presence_handler.current_state_for_user("@test2:server")
         )
         self.assertEqual(expected_state.state, PresenceState.ONLINE)
-        self.assertEqual(
-            self.federation_sender.send_presence_to_destinations.call_count, 2
-        )
-        self.federation_sender.send_presence_to_destinations.assert_any_call(
-            destinations=["server3"], states={expected_state}
-        )
-        self.federation_sender.send_presence_to_destinations.assert_any_call(
-            destinations=["server2"], states={expected_state}
+        self.federation_sender.send_presence_to_destinations.assert_called_once_with(
+            destinations={"server2", "server3"}, states=[expected_state]
         )
 
     def _add_new_user(self, room_id, user_id):
diff --git a/tests/rest/admin/test_room.py b/tests/rest/admin/test_room.py
 index 6b84188120..ee071c2477 100644
--- a/tests/rest/admin/test_room.py
+++ b/tests/rest/admin/test_room.py
@@ -17,6 +17,8 @@ import urllib.parse
 from typing import List, Optional
 from unittest.mock import Mock
 
+from parameterized import parameterized_class
+
 import synapse.rest.admin
 from synapse.api.constants import EventTypes, Membership
 from synapse.api.errors import Codes
@@ -144,6 +146,13 @@ class ShutdownRoomTestCase(unittest.HomeserverTestCase):
         )
 
 
+@parameterized_class(
+    ("method", "url_template"),
+    [
+        ("POST", "/_synapse/admin/v1/rooms/%s/delete"),
+        ("DELETE", "/_synapse/admin/v1/rooms/%s"),
+    ],
+)
 class DeleteRoomTestCase(unittest.HomeserverTestCase):
     servlets = [
         synapse.rest.admin.register_servlets,
@@ -175,7 +184,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         self.room_id = self.helper.create_room_as(
             self.other_user, tok=self.other_user_tok
         )
-        self.url = "/_synapse/admin/v1/rooms/%s/delete" % self.room_id
+        self.url = self.url_template % self.room_id
 
     def test_requester_is_no_admin(self):
         """
@@ -183,7 +192,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         """
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url,
             json.dumps({}),
             access_token=self.other_user_tok,
@@ -196,10 +205,10 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         """
         Check that unknown rooms/server return error 404.
         """
-        url = "/_synapse/admin/v1/rooms/!unknown:test/delete"
+        url = self.url_template % "!unknown:test"
 
         channel = self.make_request(
-            "POST",
+            self.method,
             url,
             json.dumps({}),
             access_token=self.admin_user_tok,
@@ -212,10 +221,10 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         """
         Check that invalid room names, return an error 400.
         """
-        url = "/_synapse/admin/v1/rooms/invalidroom/delete"
+        url = self.url_template % "invalidroom"
 
         channel = self.make_request(
-            "POST",
+            self.method,
             url,
             json.dumps({}),
             access_token=self.admin_user_tok,
@@ -234,7 +243,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"new_room_user_id": "@unknown:test"})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url,
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -253,7 +262,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"new_room_user_id": "@not:exist.bla"})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url,
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -272,7 +281,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"block": "NotBool"})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url,
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -288,7 +297,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"purge": "NotBool"})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url,
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -314,7 +323,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"block": True, "purge": True})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url.encode("ascii"),
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -347,7 +356,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"block": False, "purge": True})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url.encode("ascii"),
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -381,7 +390,7 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         body = json.dumps({"block": False, "purge": False})
 
         channel = self.make_request(
-            "POST",
+            self.method,
             self.url.encode("ascii"),
             content=body.encode(encoding="utf_8"),
             access_token=self.admin_user_tok,
@@ -426,10 +435,9 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         self._is_member(room_id=self.room_id, user_id=self.other_user)
 
         # Test that the admin can still send shutdown
-        url = "/_synapse/admin/v1/rooms/%s/delete" % self.room_id
         channel = self.make_request(
-            "POST",
-            url.encode("ascii"),
+            self.method,
+            self.url,
             json.dumps({"new_room_user_id": self.admin_user}),
             access_token=self.admin_user_tok,
         )
@@ -473,10 +481,9 @@ class DeleteRoomTestCase(unittest.HomeserverTestCase):
         self._is_member(room_id=self.room_id, user_id=self.other_user)
 
         # Test that the admin can still send shutdown
-        url = "/_synapse/admin/v1/rooms/%s/delete" % self.room_id
         channel = self.make_request(
-            "POST",
-            url.encode("ascii"),
+            self.method,
+            self.url,
             json.dumps({"new_room_user_id": self.admin_user}),
             access_token=self.admin_user_tok,
         )
diff --git a/tests/rest/client/v2_alpha/test_sync.py b/tests/rest/client/v2_alpha/test_sync.py
 index dbcbdf159a..74be5176d0 100644
--- a/tests/rest/client/v2_alpha/test_sync.py
+++ b/tests/rest/client/v2_alpha/test_sync.py
@@ -37,35 +37,7 @@ class FilterTestCase(unittest.HomeserverTestCase):
         channel = self.make_request("GET", "/sync")
 
         self.assertEqual(channel.code, 200)
-        self.assertTrue(
-            {
-                "next_batch",
-                "rooms",
-                "presence",
-                "account_data",
-                "to_device",
-                "device_lists",
-            }.issubset(set(channel.json_body.keys()))
-        )
-
-    def test_sync_presence_disabled(self):
-        """
-        When presence is disabled, the key does not appear in /sync.
-        """
-        self.hs.config.use_presence = False
-
-        channel = self.make_request("GET", "/sync")
-
-        self.assertEqual(channel.code, 200)
-        self.assertTrue(
-            {
-                "next_batch",
-                "rooms",
-                "account_data",
-                "to_device",
-                "device_lists",
-            }.issubset(set(channel.json_body.keys()))
-        )
+        self.assertIn("next_batch", channel.json_body)
 
 
 class SyncFilterTestCase(unittest.HomeserverTestCase):
diff --git a/tests/server_notices/test_resource_limits_server_notices.py b/tests/server_notices/test_resource_limits_server_notices.py
 index d46521ccdc..3245aa91ca 100644
--- a/tests/server_notices/test_resource_limits_server_notices.py
+++ b/tests/server_notices/test_resource_limits_server_notices.py
@@ -306,8 +306,9 @@ class TestResourceLimitsServerNoticesWithRealRooms(unittest.HomeserverTestCase):
 
         channel = self.make_request("GET", "/sync?timeout=0", access_token=tok)
 
-        invites = channel.json_body["rooms"]["invite"]
-        self.assertEqual(len(invites), 0, invites)
+        self.assertNotIn(
+            "rooms", channel.json_body, "Got invites without server notice"
+        )
 
     def test_invite_with_notice(self):
         """Tests that, if the MAU limit is hit, the server notices user invites each user
@@ -364,7 +365,8 @@ class TestResourceLimitsServerNoticesWithRealRooms(unittest.HomeserverTestCase):
             # We could also pick another user and sync with it, which would return an
             # invite to a system notices room, but it doesn't matter which user we're
             # using so we use the last one because it saves us an extra sync.
-            invites = channel.json_body["rooms"]["invite"]
+            if "rooms" in channel.json_body:
+                invites = channel.json_body["rooms"]["invite"]
 
         # Make sure we have an invite to process.
         self.assertEqual(len(invites), 1, invites)
 |