diff --git a/exceptiongroup/__init__.py b/exceptiongroup/__init__.py
index a48c235..6044986 100644
--- a/exceptiongroup/__init__.py
+++ b/exceptiongroup/__init__.py
@@ -1,5 +1,7 @@
 """Top-level package for exceptiongroup."""
 
+import sys
+
 from ._version import __version__
 
 __all__ = ["ExceptionGroup", "split", "catch"]
@@ -42,26 +44,152 @@ def __init__(self, message, exceptions, sources):
                 )
             )
 
+    def __bool__(self):
+        return bool(self.exceptions)
+
+    def __contains__(self, exception):
+        return exception in self.exceptions
+
     # copy.copy doesn't work for ExceptionGroup, because BaseException have
     # rewrite __reduce_ex__ method.  We need to add __copy__ method to
     # make it can be copied.
     def __copy__(self):
         new_group = self.__class__(self.message, self.exceptions, self.sources)
-        new_group.__traceback__ = self.__traceback__
-        new_group.__context__ = self.__context__
-        new_group.__cause__ = self.__cause__
-        # Setting __cause__ also implicitly sets the __suppress_context__
-        # attribute to True.  So we should copy __suppress_context__ attribute
-        # last, after copying __cause__.
-        new_group.__suppress_context__ = self.__suppress_context__
+        self._copy_magic_attrs(new_group)
         return new_group
 
+    def __iter__(self):
+        return zip(self.exceptions, self.sources)
+
+    def __len__(self):
+        return len(self.exceptions)
+
     def __str__(self):
         return ", ".join(repr(exc) for exc in self.exceptions)
 
     def __repr__(self):
         return "<ExceptionGroup: {}>".format(self)
 
+    def _copy_magic_attrs(self, dst):
+        """Copy exception-specific attributes to another :class:`ExceptionGroup`."""
+        dst.__traceback__ = self.__traceback__
+        dst.__context__ = self.__context__
+        dst.__cause__ = self.__cause__
+        # Setting __cause__ also implicitly sets the __suppress_context__
+        # attribute to True.  So we should copy __suppress_context__ attribute
+        # last, after copying __cause__.
+        dst.__suppress_context__ = self.__suppress_context__
+
+    def add(self, exception, source=""):
+        """Return a new group with exceptions of this group + another exception.
+
+        The magic attributes ``__cause__``, ``__context__``, ``__suppress_context__``
+        and ``__traceback__`` are preserved.
+
+        :param exception: exception to add
+        :type  exception: BaseException
+        :param source: string describing where the exception originated from
+        :type  source: str
+        :rtype: ExceptionGroup
+        """
+        new = type(self)(
+            self.message,
+            self.exceptions + [exception],
+            self.sources + [source],
+        )
+        self._copy_magic_attrs(new)
+        return new
+
+    def find(self, predicate, with_source=False):
+        """Return the first exception that fulfills some predicate or ``None``.
+
+        :param predicate: see :meth:`findall`
+        :type  predicate: callable, type, (type)
+        :param with_source: see :meth:`findall`
+        :type  with_source: bool
+        :rtype: BaseException, None
+        """
+        for item in self.findall(predicate, with_source):
+            return item
+
+    def findall(self, predicate, with_source=False):
+        """Yield only exceptions that fulfill some predicate.
+
+        :param predicate:
+            Callable that takes a :class:`BaseException` object and returns whether it
+            fulfills some criteria (``True``) or not (``False``).
+            If a type or tuple of types is given instead of a callable, :func:`isinstance`
+            is automatically used as the predicate function.
+        :type  predicate: callable, type, (type)
+        :param with_source:
+            Normally, only the matching :class:`BaseException` objects are
+            yielded. However, when this is set to ``True``, two-element tuples are
+            yielded whose first element is the :class:`BaseException` and the second
+            is the associated source (:class:`str`).
+        :type  with_source: bool
+        """
+        if isinstance(predicate, (type, tuple)):
+            exc_type = predicate
+            predicate = lambda _exc: isinstance(_exc, exc_type)
+        if with_source:
+            for exception, source in zip(self.exceptions, self.sources):
+                if predicate(exception):
+                    yield exception, source
+        else:
+            yield from filter(predicate, self.exceptions)
+
+    def maybe_reraise(self, from_exception=0, unwrap=True):
+        """(Re-)raise this exception group if it contains any exception.
+
+        If the group is empty, this returns without doing anything.
+
+        :param from_exception:
+            This has the same meaning as the ``from`` keyword of the ``raise``
+            statement. The default value of ``0`` causes the exception originally
+            caught by the current ``except`` block to be used. This is retrieved using
+            ``sys.exc_info()[1]``.
+        :type  from_exception: BaseException, None
+        :param unwrap:
+            Normally, when there is just one exception left in the group, it is
+            unwrapped and raised as is. With this option, you can prevent the
+            unwrapping.
+        :type  unwrap: bool
+        """
+        if not self.exceptions:
+            return
+        if unwrap and len(self.exceptions) == 1:
+            exc = self.exceptions[0]
+        else:
+            exc = self
+        if from_exception == 0:
+            from_exception = sys.exc_info()[1]
+        raise exc from from_exception
+
+    def remove(self, exception):
+        """Return a new group without a particular exception.
+
+        The magic attributes ``__cause__``, ``__context__``, ``__suppress_context__``
+        and ``__traceback__`` are preserved.
+
+        :param exception: exception to remove
+        :type  exception: BaseException
+        :rtype: ExceptionGroup
+        :raises ValueError: if exception not contained in this group
+        """
+        try:
+            idx = self.exceptions.index(exception)
+        except ValueError:
+            raise ValueError(
+                f"{exception!r} not contained in {self!r}"
+            ) from None
+        new = type(self)(
+            self.message,
+            self.exceptions[:idx] + self.exceptions[idx + 1 :],
+            self.sources[:idx] + self.sources[idx + 1 :],
+        )
+        self._copy_magic_attrs(new)
+        return new
+
 
 from . import _monkeypatch
 from ._tools import split, catch