diff --git a/core/modules/config/tests/src/Kernel/ConfigImportRecreateTest.php b/core/modules/config/tests/src/Kernel/ConfigImportRecreateTest.php
index 86a7ac7..51b22cd 100644
--- a/core/modules/config/tests/src/Kernel/ConfigImportRecreateTest.php
+++ b/core/modules/config/tests/src/Kernel/ConfigImportRecreateTest.php
@@ -10,6 +10,7 @@
 use Drupal\Component\Utility\Unicode;
 use Drupal\Core\Config\ConfigImporter;
 use Drupal\Core\Config\StorageComparer;
+use Drupal\KernelTests\KernelTestBase;
 use Drupal\node\Entity\NodeType;
 
 /**
diff --git a/core/modules/config/tests/src/Kernel/ConfigImporterTest.php b/core/modules/config/tests/src/Kernel/ConfigImporterTest.php
index a4c3c14..04a3a7f 100644
--- a/core/modules/config/tests/src/Kernel/ConfigImporterTest.php
+++ b/core/modules/config/tests/src/Kernel/ConfigImporterTest.php
@@ -677,8 +677,9 @@ public function testInstallProfile() {
    * Tests config_get_config_directory().
    */
   public function testConfigGetConfigDirectory() {
+    global $config_directories;
     $directory = config_get_config_directory(CONFIG_SYNC_DIRECTORY);
-    $this->assertEqual($this->configDirectories[CONFIG_SYNC_DIRECTORY], $directory);
+    $this->assertEqual($config_directories[CONFIG_SYNC_DIRECTORY], $directory);
 
     $message = 'Calling config_get_config_directory() with CONFIG_ACTIVE_DIRECTORY results in an exception.';
     try {
diff --git a/core/modules/config/tests/src/Kernel/ConfigSchemaTest.php b/core/modules/config/tests/src/Kernel/ConfigSchemaTest.php
index 3b0504e..7074a97 100644
--- a/core/modules/config/tests/src/Kernel/ConfigSchemaTest.php
+++ b/core/modules/config/tests/src/Kernel/ConfigSchemaTest.php
@@ -388,7 +388,7 @@ public function testConfigSaveWithSchema() {
     // Ensure that configuration objects with keys marked as ignored are not
     // changed when saved. The 'config_schema_test.ignore' will have been saved
     // during the installation of configuration in the setUp method.
-    $extension_path = __DIR__ . '/../../tests/config_schema_test/';
+    $extension_path = __DIR__ . '/../../config_schema_test/';
     $install_storage = new FileStorage($extension_path . InstallStorage::CONFIG_INSTALL_DIRECTORY);
     $original_data = $install_storage->read('config_schema_test.ignore');
     $installed_data = $this->config('config_schema_test.ignore')->get();
diff --git a/core/modules/config/tests/src/Kernel/DefaultConfigTest.php b/core/modules/config/tests/src/Kernel/DefaultConfigTest.php
index 3e72d70..7bbc6b4 100644
--- a/core/modules/config/tests/src/Kernel/DefaultConfigTest.php
+++ b/core/modules/config/tests/src/Kernel/DefaultConfigTest.php
@@ -7,6 +7,7 @@
 
 namespace Drupal\Tests\config\Kernel;
 
+use Drupal\config\Tests\SchemaCheckTestTrait;
 use Drupal\config_test\TestInstallStorage;
 use Drupal\Core\Config\InstallStorage;
 use Drupal\Core\DependencyInjection\ContainerBuilder;
@@ -23,15 +24,6 @@ class DefaultConfigTest extends KernelTestBase {
   use SchemaCheckTestTrait;
 
   /**
-   * Modules to enable.
-   *
-   * Enable the system module so that system_config_schema_info_alter() fires.
-   *
-   * @var array
-   */
-  public static $modules = array('system', 'config_test');
-
-  /**
    * Themes which provide default configuration and need enabling.
    *
    * If a theme provides default configuration but does not have a schema
@@ -50,8 +42,8 @@ protected function setUp() {
   /**
    * {@inheritdoc}
    */
-  public function containerBuild(ContainerBuilder $container) {
-    parent::containerBuild($container);
+  public function register(ContainerBuilder $container) {
+    parent::register($container);
     $container->register('default_config_test.schema_storage')
       ->setClass('\Drupal\config_test\TestInstallStorage')
       ->addArgument(InstallStorage::CONFIG_SCHEMA_DIRECTORY);
diff --git a/core/tests/Drupal/KernelTests/KernelTestBase.php b/core/tests/Drupal/KernelTests/KernelTestBase.php
index d20f341..68b618e 100644
--- a/core/tests/Drupal/KernelTests/KernelTestBase.php
+++ b/core/tests/Drupal/KernelTests/KernelTestBase.php
@@ -192,6 +192,22 @@
   protected $strictConfigSchema = TRUE;
 
   /**
+   * An array of config object names that are excluded from schema checking.
+   *
+   * @var string[]
+   */
+  protected static $configSchemaCheckerExclusions = array(
+    // Following are used to test lack of or partial schema. Where partial
+    // schema is provided, that is explicitly tested in specific tests.
+    'config_schema_test.noschema',
+    'config_schema_test.someschema',
+    'config_schema_test.schema_data_types',
+    'config_schema_test.no_schema_data_types',
+    // Used to test application of schema to filtering of configuration.
+    'config_test.dynamic.system',
+  );
+
+  /**
    * {@inheritdoc}
    */
   public static function setUpBeforeClass() {
@@ -578,6 +594,7 @@ public function register(ContainerBuilder $container) {
       $container
         ->register('simpletest.config_schema_checker', 'Drupal\Core\Config\Testing\ConfigSchemaChecker')
         ->addArgument(new Reference('config.typed'))
+        ->addArgument($this->getConfigSchemaExclusions())
         ->addTag('event_subscriber');
     }
 
@@ -598,6 +615,25 @@ public function register(ContainerBuilder $container) {
   }
 
   /**
+   * Gets the config schema exclusions for this test.
+   *
+   * @return string[]
+   *   An array of config object names that are excluded from schema checking.
+   */
+  protected function getConfigSchemaExclusions() {
+    $class = get_class($this);
+    $exceptions = [];
+    while ($class) {
+      if (property_exists($class, 'configSchemaCheckerExclusions')) {
+        $exceptions = array_merge($exceptions, $class::$configSchemaCheckerExclusions);
+      }
+      $class = get_parent_class($class);
+    }
+    // Filter out any duplicates.
+    return array_unique($exceptions);
+  }
+
+  /**
    * {@inheritdoc}
    */
   protected function assertPostConditions() {