diff --git a/people/migrations/0032_personquestion_answer_is_public.py b/people/migrations/0032_personquestion_answer_is_public.py
new file mode 100644
index 0000000..97d8ca5
--- /dev/null
+++ b/people/migrations/0032_personquestion_answer_is_public.py
@@ -0,0 +1,18 @@
+# Generated by Django 2.2.10 on 2021-02-08 13:32
+
+from django.db import migrations, models
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('people', '0031_question_allow_free_text'),
+    ]
+
+    operations = [
+        migrations.AddField(
+            model_name='personquestion',
+            name='answer_is_public',
+            field=models.BooleanField(default=True, help_text='Should answers to this question be displayed on profiles?'),
+        ),
+    ]
diff --git a/people/models/person.py b/people/models/person.py
index 914c53d..2b20564 100644
--- a/people/models/person.py
+++ b/people/models/person.py
@@ -95,6 +95,12 @@ class Theme(models.Model):
 
 class PersonQuestion(Question):
     """Question which may be asked about a person."""
+    #: Should answers to this question be displayed on public profiles?
+    answer_is_public = models.BooleanField(
+        help_text='Should answers to this question be displayed on profiles?',
+        default=True,
+        blank=False,
+        null=False)
 
 
 class PersonQuestionChoice(QuestionChoice):
@@ -193,6 +199,10 @@ class PersonAnswerSet(AnswerSet):
     #: Longitude for displaying location on a map
     longitude = models.FloatField(blank=True, null=True)
 
+    def public_answers(self) -> models.QuerySet:
+        """Get answers to questions which are public."""
+        return self.question_answers.filter(question__answer_is_public=True)
+
     def as_dict(self):
         """Get the answers from this set as a dictionary for use in Form.initial."""
         exclude_fields = {
diff --git a/people/templates/people/person/includes/answer_set_partial.html b/people/templates/people/person/includes/answer_set_partial.html
index ccd6dd8..2e96e5f 100644
--- a/people/templates/people/person/includes/answer_set_partial.html
+++ b/people/templates/people/person/includes/answer_set_partial.html
@@ -15,7 +15,7 @@
         <tr><td>Organisation</td><td>{{ answer_set.organisation }}</td></tr>
     {% endif %}
 
-    {% for answer in answer_set.question_answers.all %}
+    {% for answer in answer_set.public_answers.all %}
         <tr>
             <td>{{ answer.question }}</td>
             <td>{{ answer }}</td>