diff --git a/Lib/test/test_heapq.py b/Lib/test/test_heapq.py
index 68003e7..2da4f8c 100644
--- a/Lib/test/test_heapq.py
+++ b/Lib/test/test_heapq.py
@@ -105,13 +105,19 @@
 
     def test_nsmallest(self):
         data = [random.randrange(2000) for i in range(1000)]
+        f = lambda x:  x * 547 % 2000
         for n in (0, 1, 2, 10, 100, 400, 999, 1000, 1100):
             self.assertEqual(nsmallest(n, data), sorted(data)[:n])
+            self.assertEqual(nsmallest(n, data, key=f),
+                             sorted(data, key=f)[:n])
 
-    def test_largest(self):
+    def test_nlargest(self):
         data = [random.randrange(2000) for i in range(1000)]
+        f = lambda x:  x * 547 % 2000
         for n in (0, 1, 2, 10, 100, 400, 999, 1000, 1100):
             self.assertEqual(nlargest(n, data), sorted(data, reverse=True)[:n])
+            self.assertEqual(nlargest(n, data, key=f),
+                             sorted(data, key=f, reverse=True)[:n])
 
 
 #==============================================================================