diff --git a/stdlib/tests/stdlib_tests.rs b/stdlib/tests/stdlib_tests.rs
index f7df969f..d611191d 100644
--- a/stdlib/tests/stdlib_tests.rs
+++ b/stdlib/tests/stdlib_tests.rs
@@ -62,6 +62,30 @@ fn test_math_module() {
     assert_ne!(r1, r2); // pseudo-random sequence should advance
 }
 
+#[test]
+fn test_math_module_registration() {
+    let mut registry = StdlibRegistry::new();
+    registry.register_math();
+
+    let math = registry.get_module("std.math").unwrap();
+    assert_eq!(math.name, "std.math");
+    assert_eq!(math.version, "1.0.0");
+    assert!(math.required_capabilities.is_empty());
+
+    let expected_exports = vec![
+        "abs", "sin", "cos", "tan", "log", "exp", "sqrt", "pow", "floor", "ceil", "round",
+        "random", "to_float",
+    ];
+
+    for name in expected_exports {
+        assert!(
+            math.exports.contains_key(name),
+            "math module should export {}",
+            name
+        );
+    }
+}
+
 #[test]
 fn test_strings_module() {
     let registry = StdlibRegistry::new();