diff --git a/mod/assign/backup/moodle2/backup_assign_stepslib.php b/mod/assign/backup/moodle2/backup_assign_stepslib.php
index be6b6dcea2192..0fe4b005af409 100644
--- a/mod/assign/backup/moodle2/backup_assign_stepslib.php
+++ b/mod/assign/backup/moodle2/backup_assign_stepslib.php
@@ -91,6 +91,8 @@ protected function define_structure() {
                                                   'maxattempts',
                                                   'markingworkflow',
                                                   'markingallocation',
+                                                  'markercount',
+                                                  'multimarkmethod',
                                                   'markinganonymous',
                                                   'preventsubmissionnotingroup',
                                                   'activity',
@@ -106,8 +108,25 @@ protected function define_structure() {
                                                       'mailed',
                                                       'locked',
                                                       'extensionduedate',
-                                                      'workflowstate',
-                                                      'allocatedmarker'));
+                                                      'workflowstate'));
+
+        $allocatedmarkers = new backup_nested_element('allocatedmarkers');
+
+        $allocatedmarker = new backup_nested_element('allocatedmarker',
+                                                array('id'),
+                                                array('student',
+                                                      'assignment',
+                                                      'marker'));
+
+        $marks = new backup_nested_element('marks');
+
+        $mark = new backup_nested_element('mark',
+                                                array('id'),
+                                                array('assignment',
+                                                      'gradeid',
+                                                      'timecreated',
+                                                      'timemodified',
+                                                      'marker'));
 
         $submissions = new backup_nested_element('submissions');
 
@@ -146,6 +165,10 @@ protected function define_structure() {
         // Build the tree.
         $assign->add_child($userflags);
         $userflags->add_child($userflag);
+        $assign->add_child($allocatedmarkers);
+        $allocatedmarkers->add_child($allocatedmarker);
+        $assign->add_child($marks);
+        $marks->add_child($mark);
         $assign->add_child($submissions);
         $submissions->add_child($submission);
         $assign->add_child($grades);
@@ -166,6 +189,11 @@ protected function define_structure() {
         if ($userinfo) {
             $userflag->set_source_table('assign_user_flags',
                                      array('assignment' => backup::VAR_PARENTID));
+            $allocatedmarker->set_source_table('assign_allocated_marker',
+                                     array('assignment' => backup::VAR_PARENTID));
+
+            $mark->set_source_table('assign_mark',
+                                     array('assignment' => backup::VAR_PARENTID));
 
             $submissionparams = array('assignment' => backup::VAR_PARENTID);
             if (!$groupinfo) {
@@ -192,7 +220,9 @@ protected function define_structure() {
 
         // Define id annotations.
         $userflag->annotate_ids('user', 'userid');
-        $userflag->annotate_ids('user', 'allocatedmarker');
+        $allocatedmarker->annotate_ids('user', 'student');
+        $allocatedmarker->annotate_ids('user', 'marker');
+        $mark->annotate_ids('user', 'marker');
         $submission->annotate_ids('user', 'userid');
         $submission->annotate_ids('group', 'groupid');
         $grade->annotate_ids('user', 'userid');
diff --git a/mod/assign/backup/moodle2/restore_assign_stepslib.php b/mod/assign/backup/moodle2/restore_assign_stepslib.php
index 403e879d92596..9e333a2a5c0b3 100644
--- a/mod/assign/backup/moodle2/restore_assign_stepslib.php
+++ b/mod/assign/backup/moodle2/restore_assign_stepslib.php
@@ -65,6 +65,12 @@ protected function define_structure() {
             $userflag = new restore_path_element('assign_userflag',
                                                    '/activity/assign/userflags/userflag');
             $paths[] = $userflag;
+            $allocatedmarker = new restore_path_element('assign_allocatedmarker',
+                                                   '/activity/assign/allocatedmarkers/allocatedmarker');
+            $paths[] = $allocatedmarker;
+            $mark = new restore_path_element('assign_mark',
+                                                   '/activity/assign/marks/mark');
+            $paths[] = $mark;
         }
 
         $paths[] = new restore_path_element('assign_override', '/activity/assign/overrides/override');
@@ -125,6 +131,9 @@ protected function process_assign($data) {
         if (!isset($data->markingallocation)) {
             $data->markingallocation = 0;
         }
+        if (!isset($data->markercount)) {
+            $data->markercount = 1;
+        }
         if (!isset($data->markinganonymous)) {
             $data->markinganonymous = 0;
         }
@@ -202,9 +211,6 @@ protected function process_assign_userflag($data) {
         $data->assignment = $this->get_new_parentid('assign');
 
         $data->userid = $this->get_mappingid('user', $data->userid);
-        if (!empty($data->allocatedmarker)) {
-            $data->allocatedmarker = $this->get_mappingid('user', $data->allocatedmarker);
-        }
         if (!empty($data->extensionduedate)) {
             $data->extensionduedate = $this->apply_date_offset($data->extensionduedate);
         } else {
@@ -215,6 +221,41 @@ protected function process_assign_userflag($data) {
         $newitemid = $DB->insert_record('assign_user_flags', $data);
     }
 
+    /**
+     * Process an allocated_marker restore.
+     * @param object $data The data in object form.
+     * @return void
+     */
+    protected function process_assign_allocatedmarker($data) {
+        global $DB;
+
+        $data = (object)$data;
+
+        $data->assignment = $this->get_new_parentid('assign');
+
+        $data->student = $this->get_mappingid('user', $data->student);
+        $data->marker = $this->get_mappingid('user', $data->marker);
+
+        $DB->insert_record('assign_allocated_marker', $data);
+    }
+
+    /**
+     * Process mark restore.
+     * @param object $data The data in object form.
+     * @return void
+     */
+    protected function process_assign_mark($data) {
+        global $DB;
+
+        $data = (object)$data;
+
+        $data->assignment = $this->get_new_parentid('assign');
+
+        $data->marker = $this->get_mappingid('user', $data->marker);
+
+        $DB->insert_record('assign_mark', $data);
+    }
+
     /**
      * Process a grade restore
      * @param object $data The data in object form
diff --git a/mod/assign/batchsetallocatedmarkerform.php b/mod/assign/batchsetallocatedmarkerform.php
index e01f78083fa64..4d5ab7ddc8cb2 100644
--- a/mod/assign/batchsetallocatedmarkerform.php
+++ b/mod/assign/batchsetallocatedmarkerform.php
@@ -46,7 +46,23 @@ public function definition() {
         $mform->addElement('static', 'userslist', get_string('selectedusers', 'assign'), $params['usershtml']);
 
         $options = $params['markers'];
-        $mform->addElement('select', 'allocatedmarker', get_string('allocatedmarker', 'assign'), $options);
+
+        if (empty($params['markercount'])) {
+            $markercount = 1;
+        } else {
+            $markercount = $params['markercount'];
+        }
+
+        $markerids = array_keys($options);
+
+        for ($i = 1; $i <= $markercount; $i++) {
+            $mform->addElement('select', "allocatedmarker{$i}", get_string('allocatedmarker', 'assign'), $options);
+            // With more than one marker set the default for each marker for
+            // that teacher's position in the options so that we don't have the
+            // same (first) teacher as the default for each marker.
+            $mform->getElement("allocatedmarker{$i}")->setSelected($markerids[$i - 1]);
+        }
+
 
         $mform->addElement('hidden', 'id');
         $mform->setType('id', PARAM_INT);
diff --git a/mod/assign/db/install.xml b/mod/assign/db/install.xml
index 63ecc90ff20aa..192131abdc101 100644
--- a/mod/assign/db/install.xml
+++ b/mod/assign/db/install.xml
@@ -169,6 +169,7 @@
     <TABLE NAME="assign_mark" COMMENT="Marks from multiple markers for a single submission">
       <FIELDS>
         <FIELD NAME="id" TYPE="int" LENGTH="10" NOTNULL="true" SEQUENCE="true"/>
+        <FIELD NAME="assignment" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The ID of the assignment this mark applies to"/>
         <FIELD NAME="gradeid" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The ID of an assign_grades row"/>
         <FIELD NAME="timecreated" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The time this mark was created"/>
         <FIELD NAME="timemodified" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The time this mark was modified"/>
@@ -185,9 +186,9 @@
     <TABLE NAME="assign_allocated_marker" COMMENT="One or more teachers allocated to mark individual submissions">
       <FIELDS>
         <FIELD NAME="id" TYPE="int" LENGTH="10" NOTNULL="true" SEQUENCE="true"/>
-        <FIELD NAME="studentid" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The id of the student this marker is allocated to"/>
-        <FIELD NAME="assignid" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The id of the assignment this marker is allocated to"/>
-        <FIELD NAME="markerid" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The teacher allocated to mark this user+assignment"/>
+        <FIELD NAME="student" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="User ID of student this marker is allocated to"/>
+        <FIELD NAME="assignment" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="The id of the assignment this marker is allocated to"/>
+        <FIELD NAME="marker" TYPE="int" LENGTH="10" NOTNULL="true" DEFAULT="0" SEQUENCE="false" COMMENT="User ID of teacher allocated to mark this student"/>
       </FIELDS>
       <KEYS>
         <KEY NAME="primary" TYPE="primary" FIELDS="id"/>
diff --git a/mod/assign/db/upgrade.php b/mod/assign/db/upgrade.php
index c0b7ed03a6db9..91a72c03cf341 100644
--- a/mod/assign/db/upgrade.php
+++ b/mod/assign/db/upgrade.php
@@ -227,5 +227,41 @@ function xmldb_assign_upgrade($oldversion) {
         upgrade_mod_savepoint(true, 2024100700.08, 'assign');
     }
 
+    if ($oldversion < 2024100700.09) {
+        // Define table assign_allocated_marker to be modified.
+        $table = new xmldb_table('assign_allocated_marker');
+
+        $field = new xmldb_field('studentid', XMLDB_TYPE_INTEGER, '10', null, XMLDB_NOTNULL, null, null);
+        $dbman->rename_field($table, $field, 'student');
+
+        $field = new xmldb_field('assignid', XMLDB_TYPE_INTEGER, '10', null, XMLDB_NOTNULL, null, null);
+        $dbman->rename_field($table, $field, 'assignment');
+
+        $field = new xmldb_field('markerid', XMLDB_TYPE_INTEGER, '10', null, XMLDB_NOTNULL, null, null);
+        $dbman->rename_field($table, $field, 'marker');
+
+        // Define table assign_mark to be modified.
+        $table = new xmldb_table('assign_mark');
+
+        // Add field assignment.  This field is just so that rows are
+        // associated with the corresponding assignment during backup/restore.
+        $field = new xmldb_field('assignment', XMLDB_TYPE_INTEGER, '10', null, null, null, null, 'id');
+
+        // Conditionally launch add field assignment.
+        if (!$dbman->field_exists($table, $field)) {
+            $dbman->add_field($table, $field);
+        }
+
+        $DB->execute("UPDATE {assign_mark} am
+                        JOIN {assign_grades} ag ON am.gradeid = ag.id
+                         SET am.assignment = ag.assignment");
+
+        $field = new xmldb_field('assignment', XMLDB_TYPE_INTEGER, '10', null, XMLDB_NOTNULL, null, null);
+        $dbman->change_field_notnull($table, $field);
+
+        // Assign savepoint reached.
+        upgrade_mod_savepoint(true, 2024100700.09, 'assign');
+    }
+
     return true;
 }
diff --git a/mod/assign/gradingtable.php b/mod/assign/gradingtable.php
index 643a18310842b..c968f7014efb1 100644
--- a/mod/assign/gradingtable.php
+++ b/mod/assign/gradingtable.php
@@ -344,9 +344,9 @@ public function __construct(assign $assignment,
                         $where .= ' AND am.markerid IS NULL';
                     } else {
                         $from .= 'LEFT JOIN {assign_allocated_marker} am
-                                 ON u.id = am.studentid
-                                AND am.assignid = :assignmentid4 ';
-                        $where .= " AND am.markerid = :markerid";
+                                 ON u.id = am.student
+                                AND am.assignment = :assignmentid4 ';
+                        $where .= " AND am.marker = :markerid";
                         $params['assignmentid4'] = (int)$this->assignment->get_instance()->id;
                         $params['markerid'] = $markerfilter;
 
@@ -699,7 +699,7 @@ public function col_allocatedmarker(stdClass $row, int $markerpos = 1) {
         static $markers = null;
         static $markerlist = array();
 
-        $markers2 = $DB->get_fieldset('assign_allocated_marker', 'markerid', ['studentid' => $row->userid, 'assignid' => $this->assignment->get_instance()->id]);
+        $markers2 = $DB->get_fieldset('assign_allocated_marker', 'marker', ['student' => $row->userid, 'assignment' => $this->assignment->get_instance()->id]);
         if (!empty($row) && !empty($markers2)) {
             $marker1 = fullname(\core_user::get_user($markers2[$markerpos - 1])); // FIXME $marker1 variable name.
         }
@@ -1068,10 +1068,10 @@ public function col_marker(stdClass $row, int $col): string {
                     $this->assignment->get_instance()->markingallocation) {
                 // Allocated markers are enabled: get the mark corresponding to
                 // the marker for this column.
-                $markers = array_values($DB->get_records('assign_allocated_marker', ['studentid' => $row->userid, 'assignid' => $this->assignment->get_instance()->id], 'id'));
+                $markers = array_values($DB->get_records('assign_allocated_marker', ['student' => $row->userid, 'assignment' => $this->assignment->get_instance()->id], 'id'));
 
                 if (count($markers) > $col - 1) {
-                    $mark = $DB->get_field('assign_mark', 'mark', ['gradeid' => $row->gradeid, 'marker' => $markers[$col - 1]->markerid]);
+                    $mark = $DB->get_field('assign_mark', 'mark', ['gradeid' => $row->gradeid, 'marker' => $markers[$col - 1]->marker]);
                     if ($mark !== false) {
                         $displaymark = $this->display_grade($mark, $this->quickgrading && !$gradingdisabled, $row->userid, $row->timemarked);
                     }
@@ -1122,7 +1122,8 @@ public function col_marker(stdClass $row, int $col): string {
                     $this->assignment->get_instance()->markingallocation) {
                 // If allocated marking is enabled is this user the marker for
                 // this column?
-                if ($markers = $DB->get_fieldset('assign_allocated_marker', 'markerid', ['studentid' => $row->userid, 'assignid' => $this->assignment->get_instance()->id])) {
+                $markers = $DB->get_fieldset('assign_allocated_marker', 'marker', ['student' => $row->userid, 'assignment' => $this->assignment->get_instance()->id]);
+                if ($markers = $DB->get_fieldset('assign_allocated_marker', 'marker', ['student' => $row->userid, 'assignment' => $this->assignment->get_instance()->id])) {
                     $isallocatedmarker = ($markers[$col - 1] == $USER->id);
                 }
             } else if (((count($existingmarkers) >= $col) && ($existingmarkers[$col]->marker == $USER->id)) ||
diff --git a/mod/assign/locallib.php b/mod/assign/locallib.php
index 99eb902139c30..62ce063f614d9 100644
--- a/mod/assign/locallib.php
+++ b/mod/assign/locallib.php
@@ -2347,9 +2347,9 @@ public function list_participants($currentgroup, $idsonly, $tablesort = false) {
                     has_capability('mod/assign:grade', $this->get_context())) {
 
                 $additionaljoins .= ' LEFT JOIN {assign_allocated_marker} am
-                                     ON u.id = am.studentid
-                                     AND am.assignid = :assignmentid3';
-                $additionalfilters .= " AND am.markerid = :markerid";
+                                     ON u.id = am.student
+                                     AND am.assignment = :assignmentid3';
+                $additionalfilters .= " AND am.marker = :markerid";
                 $params['assignmentid3'] = $instance->id;
                 $params['markerid'] = $USER->id;
             }
@@ -3055,9 +3055,7 @@ public function update_grade($grade, $reopenattempt = false) {
 
     /**
      * Add or update an mdl_assign_mark record.
-     * @param int $gradeid The corresponding mdl_assign_grades record for this
-     * mark, that is, the record where the grade field will be populated when
-     * all necessary marks are awarded allowing the grade to be set.
+     * @param stdClass $grade a grade record.
      * @param int $marker The user ID of this marker.
      * @param float $mark The mark awarded by this marker, for example, 55.2.
      * @param FIXME $workflowstate
@@ -3072,6 +3070,7 @@ public function update_mark($grade, $mark, $workflowstate) {
             $DB->update_record('assign_mark', $record);
         } else {
             $record = new stdClass();
+            $record->assignment = $grade->assignment;
             $record->gradeid = $grade->id;
             $record->timecreated = $record->timemodified = time();
             $record->marker = $grade->grader;
@@ -8538,12 +8537,12 @@ protected function process_set_batch_marking_allocation() {
                     continue; // Allocated marker can only be changed in certain workflow states.
                 }
 
-                $DB->delete_records('assign_allocated_marker', ['studentid' => $userid, 'assignid' => $flags->assignment]);
+                $DB->delete_records('assign_allocated_marker', ['student' => $userid, 'assignment' => $flags->assignment]);
                 foreach ($markers as $marker) {
                     $record = new stdClass();
-                    $record->studentid = $userid;
-                    $record->assignid = $flags->assignment;
-                    $record->markerid = $marker;
+                    $record->student = $userid;
+                    $record->assignment = $flags->assignment;
+                    $record->marker = $marker;
                     $DB->insert_record('assign_allocated_marker', $record);
                 }
             }
diff --git a/mod/assign/version.php b/mod/assign/version.php
index d47e7b6b431c7..1d033dc7d09bf 100644
--- a/mod/assign/version.php
+++ b/mod/assign/version.php
@@ -25,5 +25,5 @@
 defined('MOODLE_INTERNAL') || die();
 
 $plugin->component = 'mod_assign'; // Full name of the plugin (used for diagnostics).
-$plugin->version  = 2024100700.08;    // The current module version (Date: YYYYMMDDXX).
+$plugin->version  = 2024100700.09;    // The current module version (Date: YYYYMMDDXX).
 $plugin->requires = 2024100100;    // Requires this Moodle version.