diff --git a/src/activities/domActivities/SimpleCheckboxQuiz.css b/src/activities/domActivities/SimpleCheckboxQuiz.css
index 7ed74712..3fc5053c 100644
--- a/src/activities/domActivities/SimpleCheckboxQuiz.css
+++ b/src/activities/domActivities/SimpleCheckboxQuiz.css
@@ -16,6 +16,14 @@
 .simple-comprehension-quiz .checkbox-and-textbox-choice {
     display: flex;
     z-index: 0;
+    /* without this, each choice extends to the full width of the container */
+    /* that means you can click on empty space to the right of the text and accidentally select the choice */
+    /* this could also interfere with trying to swipe to the next page */
+    /* note that everything from the container down to the paragraph has to have width: fit-content */
+    width: fit-content;
+    * {
+        width: fit-content;
+    }
     /* Checkmark is done as a rotated half-bordered box that is the :before of the div */
 }
 .simple-comprehension-quiz .checkbox-and-textbox-choice input {
diff --git a/src/activities/domActivities/SimpleCheckboxQuiz.ts b/src/activities/domActivities/SimpleCheckboxQuiz.ts
index 9ebad462..51adf745 100644
--- a/src/activities/domActivities/SimpleCheckboxQuiz.ts
+++ b/src/activities/domActivities/SimpleCheckboxQuiz.ts
@@ -41,7 +41,7 @@ export default class SimpleCheckboxQuiz implements IActivityObject {
         const choices = this.activityContext.pageElement.getElementsByClassName(
             "checkbox-and-textbox-choice"
         );
-        Array.from(choices).forEach((choice: HTMLElement) => {
+        Array.from(choices).forEach((choice: HTMLElement, index: number) => {
             const checkbox = this.getCheckBox(choice);
 
             // ----- This whole file is never loaded in Bloom. For now it is bloom-player only.
@@ -68,6 +68,34 @@ export default class SimpleCheckboxQuiz implements IActivityObject {
                     capture: true
                 }
             );
+            // We only need to add these body-level listeners once.
+            if (index === 0) {
+                // I can't find any clear documentation on whether we need all of these or just the pointer ones.
+                for (const eventName of [
+                    "mousedown",
+                    "mousemove",
+                    "pointerdown",
+                    "pointermove",
+                    "touchstart",
+                    "touchmove"
+                ]) {
+                    // The purpose of this is to prevent Swiper allowing the page to be moved or
+                    // flicked when the user is trying to click on a choice.
+                    // Unfortunately it does not work to put a handler on these events for the choice itself.
+                    // Apparently the Swiper is capturing them before they get to the choice.
+                    // So we capture them at a higher level still, but only stop propagation if
+                    // in one of the choices.
+                    this.activityContext.addEventListener(
+                        eventName,
+                        choice.ownerDocument.body,
+                        e => this.handleInputMouseEvent(e),
+                        {
+                            capture: true
+                        }
+                    );
+                }
+            }
+
             const key = this.getStorageKeyForChoice(choice);
             if (
                 activityContext.getSessionPageData(key) ===
@@ -102,6 +130,23 @@ export default class SimpleCheckboxQuiz implements IActivityObject {
                 (e.textContent || "").trim() !== ""
         );
     }
+    private handleInputMouseEvent(event: Event) {
+        if (
+            (event.target as HTMLElement).closest(
+                ".checkbox-and-textbox-choice"
+            )
+        ) {
+            // Stop Swier from seeing events on these elements.
+            // Note: Swiper version 11 has a class "swiper-no-swiping" that I think can be used to
+            // achieve this, or configured with noSwipingClass or noSwipingSelector.
+            // But we're at too low a version to use that, and bringing in the latest
+            // version is non-trivial.
+            event.stopPropagation();
+            // We don't need to preventDefault to keep Swiper from moving the page,
+            // and we don't want to because I think it would stop the mousedown
+            // from eventually resulting in a click.
+        }
+    }
 
     private handleReadModeClick(event: Event) {
         // prevent the browser messing with the check box checked state