diff --git a/narwhals/_arrow/series.py b/narwhals/_arrow/series.py
index a7ffd2f027..5230cdb410 100644
--- a/narwhals/_arrow/series.py
+++ b/narwhals/_arrow/series.py
@@ -271,14 +271,14 @@ def __truediv__(self: Self, other: Any) -> Self:
         if not isinstance(other, (pa.Array, pa.ChunkedArray)):
             # scalar
             other = lit(other)
-        return self._with_native(pc.divide(*cast_for_truediv(ser, other)))  # type: ignore[arg-type, type-var]
+        return self._with_native(pc.divide(*cast_for_truediv(ser, other)))  # type: ignore[type-var]
 
     def __rtruediv__(self: Self, other: Any) -> Self:
         ser, other = extract_native(self, other)
         if not isinstance(other, (pa.Array, pa.ChunkedArray)):
             # scalar
             other = lit(other) if not isinstance(other, pa.Scalar) else other
-        return self._with_native(pc.divide(*cast_for_truediv(other, ser)))  # type: ignore[arg-type, type-var]
+        return self._with_native(pc.divide(*cast_for_truediv(other, ser)))  # type: ignore[type-var]
 
     def __mod__(self: Self, other: Any) -> Self:
         floor_div = (self // other).native
@@ -596,11 +596,11 @@ def value_counts(
         counts = cast("ArrowChunkedArray", val_counts.field("counts"))
 
         if normalize:
-            arrays = [values, pc.divide(*cast_for_truediv(counts, pc.sum(counts)))]  # type: ignore[type-var]
+            arrays = [values, pc.divide(*cast_for_truediv(counts, pc.sum(counts)))]
         else:
             arrays = [values, counts]
 
-        val_count = pa.Table.from_arrays(arrays, names=[index_name_, value_name_])  # type: ignore[arg-type]
+        val_count = pa.Table.from_arrays(arrays, names=[index_name_, value_name_])
 
         if sort:
             val_count = val_count.sort_by([(value_name_, "descending")])
diff --git a/narwhals/_arrow/typing.py b/narwhals/_arrow/typing.py
index 2382be617d..1fcf4939b8 100644
--- a/narwhals/_arrow/typing.py
+++ b/narwhals/_arrow/typing.py
@@ -34,6 +34,11 @@
 
     ArrowChunkedArray: TypeAlias = pa.ChunkedArray[Any]
     ArrowArray: TypeAlias = pa.Array[Any]
+    ArrayAny: TypeAlias = "ArrowArray | ArrowChunkedArray"
+    ScalarAny: TypeAlias = pa.Scalar[Any]
+    ArrayOrScalarAny: TypeAlias = "ArrayAny | ScalarAny"
+    ArrayOrScalarT1 = TypeVar("ArrayOrScalarT1", ArrowArray, ArrowChunkedArray, ScalarAny)
+    ArrayOrScalarT2 = TypeVar("ArrayOrScalarT2", ArrowArray, ArrowChunkedArray, ScalarAny)
     _AsPyType = TypeVar("_AsPyType")
 
     class _BasicDataType(pa.DataType, Generic[_AsPyType]): ...
diff --git a/narwhals/_arrow/utils.py b/narwhals/_arrow/utils.py
index 87a739455b..380388d51d 100644
--- a/narwhals/_arrow/utils.py
+++ b/narwhals/_arrow/utils.py
@@ -26,6 +26,9 @@
     from typing_extensions import TypeIs
 
     from narwhals._arrow.series import ArrowSeries
+    from narwhals._arrow.typing import ArrayAny
+    from narwhals._arrow.typing import ArrayOrScalarT1
+    from narwhals._arrow.typing import ArrayOrScalarT2
     from narwhals._arrow.typing import ArrowArray
     from narwhals._arrow.typing import ArrowChunkedArray
     from narwhals.dtypes import DType
@@ -35,7 +38,6 @@
     # NOTE: stubs don't allow for `ChunkedArray[StructArray]`
     # Intended to represent the `.chunks` property storing `list[pa.StructArray]`
     ChunkedArrayStructArray: TypeAlias = ArrowChunkedArray
-    ArrayAny: TypeAlias = "ArrowArray | ArrowChunkedArray"
 
     _T = TypeVar("_T")
 
@@ -356,12 +358,8 @@ def floordiv_compat(left: Any, right: Any) -> Any:
 
 
 def cast_for_truediv(
-    arrow_array: ArrowChunkedArray | pa.Scalar[Any],
-    pa_object: ArrowChunkedArray | ArrowArray | pa.Scalar[Any],
-) -> tuple[
-    ArrowChunkedArray | pa.Scalar[Any],
-    ArrowChunkedArray | ArrowArray | pa.Scalar[Any],
-]:
+    arrow_array: ArrayOrScalarT1, pa_object: ArrayOrScalarT2
+) -> tuple[ArrayOrScalarT1, ArrayOrScalarT2]:
     # Lifted from:
     # https://github.com/pandas-dev/pandas/blob/262fcfbffcee5c3116e86a951d8b693f90411e68/pandas/core/arrays/arrow/array.py#L108-L122
     # Ensure int / int -> float mirroring Python/Numpy behavior
@@ -369,6 +367,7 @@ def cast_for_truediv(
     if pa.types.is_integer(arrow_array.type) and pa.types.is_integer(pa_object.type):
         # GH: 56645.  # noqa: ERA001
         # https://github.com/apache/arrow/issues/35563
+        # NOTE: `pyarrow==11.*` doesn't allow keywords in `Array.cast`
         return pc.cast(arrow_array, pa.float64(), safe=False), pc.cast(
             pa_object, pa.float64(), safe=False
         )