diff --git a/pytest.ini b/pytest.ini
index 1c95f715a..d4deeb57c 100644
--- a/pytest.ini
+++ b/pytest.ini
@@ -36,8 +36,5 @@ flake8-ignore =
     scrapy/spiders/__init__.py E402 F401
 
     # Issues pending a review:
-    scrapy/utils/http.py F403
-    scrapy/utils/markup.py F403
-    scrapy/utils/multipart.py F403
     scrapy/utils/url.py F403 F405
     tests/test_loader.py E741
diff --git a/scrapy/core/scheduler.py b/scrapy/core/scheduler.py
index a18c26b17..9ce823dbc 100644
--- a/scrapy/core/scheduler.py
+++ b/scrapy/core/scheduler.py
@@ -1,14 +1,10 @@
 import os
 import json
 import logging
-import warnings
 from os.path import join, exists
 
-from queuelib import PriorityQueue
-
 from scrapy.utils.misc import load_object, create_instance
 from scrapy.utils.job import job_dir
-from scrapy.utils.deprecate import ScrapyDeprecationWarning
 
 
 logger = logging.getLogger(__name__)
@@ -56,14 +52,6 @@ class Scheduler:
         dupefilter_cls = load_object(settings['DUPEFILTER_CLASS'])
         dupefilter = create_instance(dupefilter_cls, settings, crawler)
         pqclass = load_object(settings['SCHEDULER_PRIORITY_QUEUE'])
-        if pqclass is PriorityQueue:
-            warnings.warn("SCHEDULER_PRIORITY_QUEUE='queuelib.PriorityQueue'"
-                          " is no longer supported because of API changes; "
-                          "please use 'scrapy.pqueues.ScrapyPriorityQueue'",
-                          ScrapyDeprecationWarning)
-            from scrapy.pqueues import ScrapyPriorityQueue
-            pqclass = ScrapyPriorityQueue
-
         dqclass = load_object(settings['SCHEDULER_DISK_QUEUE'])
         mqclass = load_object(settings['SCHEDULER_MEMORY_QUEUE'])
         logunser = settings.getbool('SCHEDULER_DEBUG')
diff --git a/scrapy/utils/gz.py b/scrapy/utils/gz.py
index 11d433cf5..76156a4b8 100644
--- a/scrapy/utils/gz.py
+++ b/scrapy/utils/gz.py
@@ -1,7 +1,6 @@
+import struct
 from gzip import GzipFile
 from io import BytesIO
-import re
-import struct
 
 from scrapy.utils.decorators import deprecated
 
@@ -42,17 +41,5 @@ def gunzip(data):
     return b''.join(output_list)
 
 
-_is_gzipped = re.compile(br'^application/(x-)?gzip\b', re.I).search
-_is_octetstream = re.compile(br'^(application|binary)/octet-stream\b', re.I).search
-
-
-@deprecated
-def is_gzipped(response):
-    """Return True if the response is gzipped, or False otherwise"""
-    ctype = response.headers.get('Content-Type', b'')
-    cenc = response.headers.get('Content-Encoding', b'').lower()
-    return _is_gzipped(ctype) or _is_octetstream(ctype) and cenc in (b'gzip', b'x-gzip')
-
-
 def gzip_magic_number(response):
     return response.body[:3] == b'\x1f\x8b\x08'
diff --git a/scrapy/utils/http.py b/scrapy/utils/http.py
deleted file mode 100644
index ceb3f0509..000000000
--- a/scrapy/utils/http.py
+++ /dev/null
@@ -1,36 +0,0 @@
-"""
-Transitional module for moving to the w3lib library.
-
-For new code, always import from w3lib.http instead of this module
-"""
-
-import warnings
-
-from scrapy.exceptions import ScrapyDeprecationWarning
-from scrapy.utils.decorators import deprecated
-from w3lib.http import *  # noqa: F401
-
-
-warnings.warn("Module `scrapy.utils.http` is deprecated, "
-              "Please import from `w3lib.http` instead.",
-              ScrapyDeprecationWarning, stacklevel=2)
-
-
-@deprecated
-def decode_chunked_transfer(chunked_body):
-    """Parsed body received with chunked transfer encoding, and return the
-    decoded body.
-
-    For more info see:
-    https://en.wikipedia.org/wiki/Chunked_transfer_encoding
-
-    """
-    body, h, t = '', '', chunked_body
-    while t:
-        h, t = t.split('\r\n', 1)
-        if h == '0':
-            break
-        size = int(h, 16)
-        body += t[:size]
-        t = t[size + 2:]
-    return body
diff --git a/scrapy/utils/markup.py b/scrapy/utils/markup.py
deleted file mode 100644
index 9728c542a..000000000
--- a/scrapy/utils/markup.py
+++ /dev/null
@@ -1,14 +0,0 @@
-"""
-Transitional module for moving to the w3lib library.
-
-For new code, always import from w3lib.html instead of this module
-"""
-import warnings
-
-from scrapy.exceptions import ScrapyDeprecationWarning
-from w3lib.html import *  # noqa: F401
-
-
-warnings.warn("Module `scrapy.utils.markup` is deprecated. "
-              "Please import from `w3lib.html` instead.",
-              ScrapyDeprecationWarning, stacklevel=2)
diff --git a/scrapy/utils/multipart.py b/scrapy/utils/multipart.py
deleted file mode 100644
index 5dcf791b8..000000000
--- a/scrapy/utils/multipart.py
+++ /dev/null
@@ -1,15 +0,0 @@
-"""
-Transitional module for moving to the w3lib library.
-
-For new code, always import from w3lib.form instead of this module
-"""
-import warnings
-
-from scrapy.exceptions import ScrapyDeprecationWarning
-from w3lib.form import *  # noqa: F401
-
-
-warnings.warn("Module `scrapy.utils.multipart` is deprecated. "
-              "If you're using `encode_multipart` function, please use "
-              "`urllib3.filepost.encode_multipart_formdata` instead",
-              ScrapyDeprecationWarning, stacklevel=2)
diff --git a/tests/test_utils_gz.py b/tests/test_utils_gz.py
index 7148185f4..4943731cb 100644
--- a/tests/test_utils_gz.py
+++ b/tests/test_utils_gz.py
@@ -3,10 +3,11 @@ from os.path import join
 
 from w3lib.encoding import html_to_unicode
 
-from scrapy.utils.gz import gunzip, is_gzipped
-from scrapy.http import Response, Headers
+from scrapy.utils.gz import gunzip, gzip_magic_number
+from scrapy.http import Response
 from tests import tests_datadir
 
+
 SAMPLEDIR = join(tests_datadir, 'compressed')
 
 
@@ -14,8 +15,12 @@ class GunzipTest(unittest.TestCase):
 
     def test_gunzip_basic(self):
         with open(join(SAMPLEDIR, 'feed-sample1.xml.gz'), 'rb') as f:
-            text = gunzip(f.read())
-            self.assertEqual(len(text), 9950)
+            r1 = Response("http://www.example.com", body=f.read())
+            self.assertTrue(gzip_magic_number(r1))
+
+            r2 = Response("http://www.example.com", body=gunzip(r1.body))
+            self.assertFalse(gzip_magic_number(r2))
+            self.assertEqual(len(r2.body), 9950)
 
     def test_gunzip_truncated(self):
         with open(join(SAMPLEDIR, 'truncated-crc-error.gz'), 'rb') as f:
@@ -28,46 +33,16 @@ class GunzipTest(unittest.TestCase):
 
     def test_gunzip_truncated_short(self):
         with open(join(SAMPLEDIR, 'truncated-crc-error-short.gz'), 'rb') as f:
-            text = gunzip(f.read())
-            assert text.endswith(b'</html>')
+            r1 = Response("http://www.example.com", body=f.read())
+            self.assertTrue(gzip_magic_number(r1))
 
-    def test_is_x_gzipped_right(self):
-        hdrs = Headers({"Content-Type": "application/x-gzip"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertTrue(is_gzipped(r1))
-
-    def test_is_gzipped_right(self):
-        hdrs = Headers({"Content-Type": "application/gzip"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertTrue(is_gzipped(r1))
-
-    def test_is_gzipped_not_quite(self):
-        hdrs = Headers({"Content-Type": "application/gzippppp"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertFalse(is_gzipped(r1))
-
-    def test_is_gzipped_case_insensitive(self):
-        hdrs = Headers({"Content-Type": "Application/X-Gzip"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertTrue(is_gzipped(r1))
-
-        hdrs = Headers({"Content-Type": "application/X-GZIP ; charset=utf-8"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertTrue(is_gzipped(r1))
+            r2 = Response("http://www.example.com", body=gunzip(r1.body))
+            assert r2.body.endswith(b'</html>')
+            self.assertFalse(gzip_magic_number(r2))
 
     def test_is_gzipped_empty(self):
         r1 = Response("http://www.example.com")
-        self.assertFalse(is_gzipped(r1))
-
-    def test_is_gzipped_wrong(self):
-        hdrs = Headers({"Content-Type": "application/javascript"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertFalse(is_gzipped(r1))
-
-    def test_is_gzipped_with_charset(self):
-        hdrs = Headers({"Content-Type": "application/x-gzip;charset=utf-8"})
-        r1 = Response("http://www.example.com", headers=hdrs)
-        self.assertTrue(is_gzipped(r1))
+        self.assertFalse(gzip_magic_number(r1))
 
     def test_gunzip_illegal_eof(self):
         with open(join(SAMPLEDIR, 'unexpected-eof.gz'), 'rb') as f:
diff --git a/tests/test_utils_http.py b/tests/test_utils_http.py
deleted file mode 100644
index 363b015a8..000000000
--- a/tests/test_utils_http.py
+++ /dev/null
@@ -1,19 +0,0 @@
-import unittest
-
-from scrapy.utils.http import decode_chunked_transfer
-
-
-class ChunkedTest(unittest.TestCase):
-
-    def test_decode_chunked_transfer(self):
-        """Example taken from: http://en.wikipedia.org/wiki/Chunked_transfer_encoding"""
-        chunked_body = "25\r\n" + "This is the data in the first chunk\r\n\r\n"
-        chunked_body += "1C\r\n" + "and this is the second one\r\n\r\n"
-        chunked_body += "3\r\n" + "con\r\n"
-        chunked_body += "8\r\n" + "sequence\r\n"
-        chunked_body += "0\r\n\r\n"
-        body = decode_chunked_transfer(chunked_body)
-        self.assertEqual(
-            body,
-            "This is the data in the first chunk\r\nand this is the second one\r\nconsequence"
-        )