diff --git a/array_api_tests/test_constants.py b/array_api_tests/test_constants.py
index 45c039e0..ce14a128 100644
--- a/array_api_tests/test_constants.py
+++ b/array_api_tests/test_constants.py
@@ -1,9 +1,13 @@
+import math
+
 from ._array_module import (e, inf, nan, pi, equal, isnan, abs, full, float32,
                             float64, less, isinf, greater, all)
 from .array_helpers import one
 
 def test_e():
-    # Check that e acts as a scalar
+    # Check that e is a Python scalar
+    assert isinstance(e, float), "e is not a Python scalar"
+
     E = full((1,), e, dtype=float64)
 
     # We don't require any accuracy. This is just a smoke test to check that
@@ -11,7 +15,9 @@ def test_e():
     assert all(less(abs(E - 2.71), one((1,), dtype=float64))), "e is not the constant e"
 
 def test_pi():
-    # Check that pi acts as a scalar
+    # Check that pi is a Python scalar
+    assert isinstance(pi, float), "pi is not a Python scalar"
+
     PI = full((1,), pi, dtype=float64)
 
     # We don't require any accuracy. This is just a smoke test to check that
@@ -19,21 +25,25 @@ def test_pi():
     assert all(less(abs(PI - 3.14), one((1,), dtype=float64))), "pi is not the constant π"
 
 def test_inf():
-    # Check that inf acts as a scalar
+    # Check that inf is a Python scalar
+    assert isinstance(inf, float), "inf is not a Python scalar"
+
     INF = full((1,), inf, dtype=float64)
     zero = full((1,), 0.0, dtype=float64)
 
-    assert all(isinf(inf)), "inf is not infinity"
+    assert math.isinf(inf), "inf is not infinity"
     assert all(isinf(INF)), "inf is not infinity"
-    assert all(greater(inf, zero)), "inf is not positive"
+    assert inf > 0, "inf is not positive"
     assert all(greater(INF, zero)), "inf is not positive"
 
 def test_nan():
-    # Check that nan acts as a scalar
+    # Check that nan is a Python scalar
+    assert isinstance(nan, float), "nan is not a Python scalar"
+
     NAN = full((1,), nan, dtype=float64)
 
-    assert all(isnan(nan)), "nan is not Not a Number"
+    assert math.isnan(nan), "nan is not Not a Number"
     assert all(isnan(NAN)), "nan is not Not a Number"
 
-    assert not all(equal(nan, nan)), "nan should be unequal to itself"
+    assert nan != nan, "nan should be unequal to itself"
     assert not all(equal(NAN, NAN)), "nan should be unequal to itself"