It depends. If your mom had a child with another man, that child would be your step sister. But if your step sister's mom had her sister with somebody else, you wouldn't be related by blood. In other words if you share no parents in common, but are only related to each other through a shared half-sister then you would be cross siblings. (http://en.wikipedia.org/wiki/Sibling#Cross_siblings)
Original answer:
You would call her a half sister because she has one of the same parents as you - and most sisters have the same two parents (the definition of sister is: a woman or girl in relation to other daughters and sons of her parents ) - so she only qualities to half of a sister by definition.
In everyday speech, simply "niece" or "nephew". Your acquaintance are not interested in the exact relationship.
But should you need to be precise for medical, legal or genealogical reasons, the term is "half-great-niece" or "half-great-nephew".
<i>Really it ought to be "grand", but for some reason it's "great" in English.</i>
your niece's or nephews
Their Names You Idiot
Half-Sister Cousins
cousins
your half sisters cousin would be your cousin
Yes, her Olympian half siblings include Dionysus, Hephaestus, Hermes, Apollo, and her sisters included Artemis and many other divine and mortal children.
well all the children of zues are his half siblings but he has no full out sibling
Children of the same father but different mothers are Half Brothers or Half Sisters, as are children of the same mother but different fathers. If two people who each have children from a previous marriage marry each other, then their existing children are step brothers or step sisters to each other.
Selena does not have any sisters or half sisters. Her mom only gave birth to Selena and her dad has had no other children yet. Her step-dad has not had any children.
He only has a brother and sister but they are half as it is only his dad children Brother:Jaxon Sister:Jazzy
The children of your husband's siblings are your nieces or nephews. Their children are your great-nieces or great-nephews.
They would be half brothers or half-sisters of each other.