diff --git a/Tests/cu2qu/ufo_test.py b/Tests/cu2qu/ufo_test.py
index 78003defb..aa9765e63 100644
--- a/Tests/cu2qu/ufo_test.py
+++ b/Tests/cu2qu/ufo_test.py
@@ -48,13 +48,20 @@ class FontsToQuadraticTest(object):
             fonts_to_quadratic(fonts, dump_stats=True)
         assert captor.assertRegex("New spline lengths:")
 
-    def test_remember_curve_type(self, fonts):
+    def test_remember_curve_type_quadratic(self, fonts):
         fonts_to_quadratic(fonts, remember_curve_type=True)
         assert fonts[0].lib[CURVE_TYPE_LIB_KEY] == "quadratic"
         with CapturingLogHandler(logger, "INFO") as captor:
             fonts_to_quadratic(fonts, remember_curve_type=True)
         assert captor.assertRegex("already converted")
 
+    def test_remember_curve_type_mixed(self, fonts):
+        fonts_to_quadratic(fonts, remember_curve_type=True, all_quadratic=False)
+        assert fonts[0].lib[CURVE_TYPE_LIB_KEY] == "mixed"
+        with CapturingLogHandler(logger, "INFO") as captor:
+            fonts_to_quadratic(fonts, remember_curve_type=True)
+        assert captor.assertRegex("already converted")
+
     def test_no_remember_curve_type(self, fonts):
         assert CURVE_TYPE_LIB_KEY not in fonts[0].lib
         fonts_to_quadratic(fonts, remember_curve_type=False)
@@ -92,6 +99,9 @@ class FontsToQuadraticTest(object):
 
     def test_single_font(self, fonts):
         assert font_to_quadratic(fonts[0], max_err_em=0.002, reverse_direction=True)
+        assert font_to_quadratic(
+            fonts[1], max_err_em=0.002, reverse_direction=True, all_quadratic=False
+        )
 
 
 class GlyphsToQuadraticTest(object):