diff --git a/maths/test_abs.py b/maths/test_abs.py
new file mode 100644
index 000000000000..cf07bce3819c
--- /dev/null
+++ b/maths/test_abs.py
@@ -0,0 +1,145 @@
+# /// script
+# requires-python = ">=3.13"
+# dependencies = [
+#     "pytest",
+# ]
+# ///
+
+import pytest
+
+from maths.abs import abs_max, abs_max_sort, abs_min, abs_val
+
+
+class TestAbsVal:
+    """Test cases for abs_val function."""
+
+    def test_positive_numbers(self):
+        """Test abs_val with positive numbers."""
+        assert abs_val(5) == 5
+        assert abs_val(10.5) == 10.5
+        assert abs_val(0.1) == 0.1
+
+    def test_negative_numbers(self):
+        """Test abs_val with negative numbers."""
+        assert abs_val(-5) == 5
+        assert abs_val(-10.5) == 10.5
+        assert abs_val(-0.1) == 0.1
+
+    def test_zero(self):
+        """Test abs_val with zero."""
+        assert abs_val(0) == 0
+        assert abs_val(0.0) == 0.0
+
+    def test_large_numbers(self):
+        """Test abs_val with large numbers."""
+        assert abs_val(-100000000000) == 100000000000
+        assert abs_val(100000000000) == 100000000000
+
+
+class TestAbsMin:
+    """Test cases for abs_min function."""
+
+    def test_positive_numbers(self):
+        """Test abs_min with positive numbers."""
+        assert abs_min([1, 2, 3, 4, 5]) == 1
+        assert abs_min([5, 1, 3, 4, 2]) == 1
+
+    def test_negative_numbers(self):
+        """Test abs_min with negative numbers."""
+        assert abs_min([-5, -1, -3, -4, -2]) == -1
+        assert abs_min([-10, -2, -8]) == -2
+
+    def test_mixed_numbers(self):
+        """Test abs_min with mixed positive and negative numbers."""
+        assert abs_min([3, -10, -2]) == -2
+        assert abs_min([0, 5, 1, 11]) == 0
+        assert abs_min([-3, -1, 2, -11]) == -1
+
+    def test_single_element(self):
+        """Test abs_min with single element list."""
+        assert abs_min([5]) == 5
+        assert abs_min([-5]) == -5
+
+    def test_empty_list(self):
+        """Test abs_min with empty list."""
+        with pytest.raises(ValueError, match="abs_min\\(\\) arg is an empty sequence"):
+            abs_min([])
+
+
+class TestAbsMax:
+    """Test cases for abs_max function."""
+
+    def test_positive_numbers(self):
+        """Test abs_max with positive numbers."""
+        assert abs_max([1, 2, 3, 4, 5]) == 5
+        assert abs_max([0, 5, 1, 11]) == 11
+
+    def test_negative_numbers(self):
+        """Test abs_max with negative numbers."""
+        assert abs_max([-5, -1, -3, -4, -2]) == -5
+        assert abs_max([-10, -2, -8]) == -10
+
+    def test_mixed_numbers(self):
+        """Test abs_max with mixed positive and negative numbers."""
+        assert abs_max([3, -10, -2]) == -10
+        assert abs_max([-3, -1, 2, -11]) == -11
+
+    def test_single_element(self):
+        """Test abs_max with single element list."""
+        assert abs_max([5]) == 5
+        assert abs_max([-5]) == -5
+
+    def test_empty_list(self):
+        """Test abs_max with empty list."""
+        with pytest.raises(ValueError, match="abs_max\\(\\) arg is an empty sequence"):
+            abs_max([])
+
+
+class TestAbsMaxSort:
+    """Test cases for abs_max_sort function."""
+
+    def test_positive_numbers(self):
+        """Test abs_max_sort with positive numbers."""
+        assert abs_max_sort([1, 2, 3, 4, 5]) == 5
+        assert abs_max_sort([0, 5, 1, 11]) == 11
+
+    def test_negative_numbers(self):
+        """Test abs_max_sort with negative numbers."""
+        assert abs_max_sort([-5, -1, -3, -4, -2]) == -5
+        assert abs_max_sort([-10, -2, -8]) == -10
+
+    def test_mixed_numbers(self):
+        """Test abs_max_sort with mixed positive and negative numbers."""
+        assert abs_max_sort([3, -10, -2]) == -10
+        assert abs_max_sort([-3, -1, 2, -11]) == -11
+
+    def test_single_element(self):
+        """Test abs_max_sort with single element list."""
+        assert abs_max_sort([5]) == 5
+        assert abs_max_sort([-5]) == -5
+
+    def test_empty_list(self):
+        """Test abs_max_sort with empty list."""
+        with pytest.raises(
+            ValueError, match="abs_max_sort\\(\\) arg is an empty sequence"
+        ):
+            abs_max_sort([])
+
+    def test_consistency_with_abs_max(self):
+        """Test that abs_max_sort gives same results as abs_max."""
+        test_cases = [
+            [1, 2, 3, 4, 5],
+            [-5, -1, -3, -4, -2],
+            [3, -10, -2],
+            [0, 5, 1, 11],
+            [-3, -1, 2, -11],
+            [42],
+            [-42],
+        ]
+
+        for test_case in test_cases:
+            assert abs_max_sort(test_case) == abs_max(test_case)
+
+
+if __name__ == "__main__":
+    pytest.main(["-v", __file__])