diff --git a/openedx/features/course_experience/templates/course_experience/course-outline-fragment.html b/openedx/features/course_experience/templates/course_experience/course-outline-fragment.html
index 649731f25e..4f9ac16415 100644
--- a/openedx/features/course_experience/templates/course_experience/course-outline-fragment.html
+++ b/openedx/features/course_experience/templates/course_experience/course-outline-fragment.html
@@ -79,7 +79,7 @@ reset_deadlines_banner_displayed = False
                                 class="subsection-text outline-button"
                                 id="${ subsection['id'] }"
                             >
-                            % if num_graded_problems:
+                            % if num_graded_problems and not (subsection.get('format') or 'special_exam_info' in subsection):
                                       <span class="icon fa fa-pencil-square-o" aria-hidden="true"></span>
                             % endif
                                       <h4 class="subsection-title">
@@ -125,7 +125,7 @@ reset_deadlines_banner_displayed = False
                 %>
                 % if subsection.get('format') or 'special_exam_info' in subsection:
                                             <span class="subtitle">
-                    % if 'special_exam' in subsection:
+                    % if 'special_exam_info' in subsection:
                                                     ## Display the exam status icon and status message
                                                     <span
                                                         class="menu-icon icon fa ${subsection['special_exam_info'].get('suggested_icon', 'fa-pencil-square-o')} ${subsection['special_exam_info'].get('status', 'eligible')}"