diff --git a/jaraco/context/__init__.py b/jaraco/context/__init__.py
index 74457d9..f249be2 100644
--- a/jaraco/context/__init__.py
+++ b/jaraco/context/__init__.py
@@ -8,8 +8,9 @@
 import subprocess
 import sys
 import tempfile
+import types
 import urllib.request
-from typing import Iterator
+from typing import Iterator, TypeVar, Union, Optional, Callable, Type, Tuple
 
 
 if sys.version_info < (3, 12):
@@ -17,9 +18,12 @@
 else:
     import tarfile
 
+PathLike = Union[str, os.PathLike]
+T = TypeVar('T')
+
 
 @contextlib.contextmanager
-def pushd(dir: str | os.PathLike) -> Iterator[str | os.PathLike]:
+def pushd(dir: PathLike) -> Iterator[PathLike]:
     """
     >>> tmp_path = getfixture('tmp_path')
     >>> with pushd(tmp_path):
@@ -37,8 +41,8 @@ def pushd(dir: str | os.PathLike) -> Iterator[str | os.PathLike]:
 
 @contextlib.contextmanager
 def tarball(
-    url, target_dir: str | os.PathLike | None = None
-) -> Iterator[str | os.PathLike]:
+    url: str, target_dir: str | os.PathLike | None = None
+) -> Iterator[PathLike]:
     """
     Get a URL to a tarball, download, extract, yield, then clean up.
 
@@ -89,7 +93,11 @@ def strip_first_component(
     return member
 
 
-def _compose(*cmgrs):
+CM = TypeVar('CM', bound=contextlib.AbstractContextManager)
+"""Type var for context managers."""
+
+
+def _compose(*cmgrs: Callable[..., CM]) -> Callable[..., CM]:
     """
     Compose any number of dependent context managers into a single one.
 
@@ -126,7 +134,7 @@ def composed(*args, **kwargs):
 
 
 @contextlib.contextmanager
-def temp_dir(remover=shutil.rmtree):
+def temp_dir(remover: Callable[[str], None] = shutil.rmtree) -> Iterator[str]:
     """
     Create a temporary directory context. Pass a custom remover
     to override the removal behavior.
@@ -145,7 +153,12 @@ def temp_dir(remover=shutil.rmtree):
 
 
 @contextlib.contextmanager
-def repo_context(url, branch: str | None = None, quiet: bool = True, dest_ctx=temp_dir):
+def repo_context(
+    url,
+    branch: str | None = None,
+    quiet: bool = True,
+    dest_ctx: Callable[[], contextlib.AbstractContextManager[str]] = temp_dir,
+):
     """
     Check out the repo indicated by url.
 
@@ -167,7 +180,7 @@ def repo_context(url, branch: str | None = None, quiet: bool = True, dest_ctx=te
         yield repo_dir
 
 
-class ExceptionTrap:
+class ExceptionTrap(contextlib.AbstractContextManager):
     """
     A context manager that will catch certain exceptions and provide an
     indication they occurred.
@@ -201,9 +214,13 @@ class ExceptionTrap:
     False
     """
 
-    exc_info = None, None, None
+    exc_info: Tuple[
+        Optional[Type[BaseException]],
+        Optional[BaseException],
+        Optional[types.TracebackType],
+    ] = (None, None, None)  # Explicitly type the tuple
 
-    def __init__(self, exceptions=(Exception,)):
+    def __init__(self, exceptions: Tuple[Type[BaseException], ...] = (Exception,)):
         self.exceptions = exceptions
 
     def __enter__(self):
@@ -231,7 +248,9 @@ def __exit__(self, *exc_info):
     def __bool__(self):
         return bool(self.type)
 
-    def raises(self, func, *, _test=bool):
+    def raises(
+        self, func: Callable[..., T], *, _test: Callable[[ExceptionTrap], bool] = bool
+    ):
         """
         Wrap func and replace the result with the truth
         value of the trap (True if an exception occurred).
@@ -258,7 +277,7 @@ def wrapper(*args, **kwargs):
 
         return wrapper
 
-    def passes(self, func):
+    def passes(self, func: Callable[..., T]) -> Callable[..., bool]:
         """
         Wrap func and replace the result with the truth
         value of the trap (True if no exception).