diff --git a/e2e/tests/journeys.spec.ts b/e2e/tests/journeys.spec.ts
index b7ab141..2d1f881 100644
--- a/e2e/tests/journeys.spec.ts
+++ b/e2e/tests/journeys.spec.ts
@@ -567,6 +567,12 @@ test('a desktop postcode search opens on the map with the list beside it', async
   await expect(card.getByRole('button', { name: /Compar/ })).toBeVisible();
   await expect(page.locator('.sc-pin').first()).toBeVisible({ timeout: 15_000 });
 
+  // The count and the sort share one line at the top of the list.
+  const heading = await pane.getByRole('heading', { level: 2 }).boundingBox();
+  const sort = await pane.getByRole('combobox').boundingBox();
+  expect(Math.abs((heading!.y + heading!.height / 2) - (sort!.y + sort!.height / 2)))
+    .toBeLessThan(8);
+
   // The split runs to the bottom of the screen rather than stopping short.
   const split = await page.locator('[class*="mapViewContainer"]').boundingBox();
   expect(split!.y + split!.height).toBeGreaterThan(800 - 40);
diff --git a/nextjs-app/__tests__/components/ResultsMapView.test.tsx b/nextjs-app/__tests__/components/ResultsMapView.test.tsx
index 332dbea..812a81f 100644
--- a/nextjs-app/__tests__/components/ResultsMapView.test.tsx
+++ b/nextjs-app/__tests__/components/ResultsMapView.test.tsx
@@ -94,7 +94,8 @@ it('lists a name search, which has no map', async () => {
 
 it('puts the count and the sort in the list beside the map, once', async () => {
   await renderMap();
-  expect(screen.getAllByRole('heading', { name: /3 schools within 1.0 miles of SW196AR/ })).toHaveLength(1);
+  // Short beside the map, so it shares one line with the sort.
+  expect(screen.getAllByRole('heading', { name: '3 schools within 1 mile' })).toHaveLength(1);
   expect(screen.getAllByRole('combobox')).toHaveLength(1);
 });
 
@@ -172,3 +173,9 @@ it('lets a keyboard pick a pin from the list, with a real button', async () => {
   expect(screen.getByTestId('map')).toHaveAttribute('data-selected', '2');
   expect(show).toHaveAttribute('aria-pressed', 'true');
 });
+
+it('keeps the postcode in the heading in list view, where there is room', async () => {
+  await renderMap();
+  fireEvent.click(screen.getByRole('button', { name: 'List' }));
+  expect(screen.getByRole('heading', { name: '3 schools within 1.0 miles of SW196AR' })).toBeInTheDocument();
+});
diff --git a/nextjs-app/components/HomeView.module.css b/nextjs-app/components/HomeView.module.css
index 7ea8c08..75ce66d 100644
--- a/nextjs-app/components/HomeView.module.css
+++ b/nextjs-app/components/HomeView.module.css
@@ -608,13 +608,32 @@
   border-right: 1px solid var(--border);
 }
 
+/* One line: the count takes what the sort leaves, and truncates rather than
+   wrap if a narrow pane cannot fit both. */
 .mapListPane .resultsHeader {
-  gap: 0.5rem;
+  flex-wrap: nowrap;
+  gap: 0.75rem;
   padding: 0.875rem 1rem 0.75rem;
 }
 
 .mapListPane .resultsHeader h2 {
-  font-size: var(--step-1);
+  flex: 1;
+  min-width: 0;
+  font-size: var(--step-0);
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+}
+
+.mapListPane .resultsHeaderActions {
+  flex-shrink: 0;
+}
+
+/* A select is as wide as its longest option ("Highest Reading, Writing &
+   Maths %", 281px), more than half the pane. Cap it; a long choice truncates. */
+.mapListPane .sortSelect {
+  max-width: 11rem;
+  text-overflow: ellipsis;
 }
 
 .mapContainer {
diff --git a/nextjs-app/components/HomeView.tsx b/nextjs-app/components/HomeView.tsx
index ceb5ce8..bcbec00 100644
--- a/nextjs-app/components/HomeView.tsx
+++ b/nextjs-app/components/HomeView.tsx
@@ -583,14 +583,20 @@ export function HomeView({ initialSchools, filters, totalSchools, howItWorks, ed
     )
   );
 
+  const schoolCount = `${initialSchools.total.toLocaleString()} school${initialSchools.total !== 1 ? 's' : ''}`;
+
   // The count and the sort. Above the list in list view; at the top of the
   // list pane, beside the map, in map view.
   const resultsHeader = (
     <div className={styles.resultsHeader}>
       <h2 aria-live="polite" aria-atomic="true">
-        {isLocationSearch && initialSchools.location_info
-          ? `${initialSchools.total.toLocaleString()} school${initialSchools.total !== 1 ? 's' : ''} within ${(initialSchools.location_info.radius / 1.60934).toFixed(1)} miles of ${initialSchools.location_info.postcode}`
-          : `${initialSchools.total.toLocaleString()} school${initialSchools.total !== 1 ? 's' : ''} found`
+        {/* Beside the map the heading shares one line with the sort, so it
+            drops the postcode, which the search box just above already shows. */}
+        {isMapView && radiusMiles != null
+          ? `${schoolCount} within ${radiusMiles} mile${radiusMiles === 1 ? '' : 's'}`
+          : isLocationSearch && initialSchools.location_info
+          ? `${schoolCount} within ${(initialSchools.location_info.radius / 1.60934).toFixed(1)} miles of ${initialSchools.location_info.postcode}`
+          : `${schoolCount} found`
         }
       </h2>
       <div className={styles.resultsHeaderActions}>