1. Investigation : Card games

2. The players then add up the numbers on their own cards.
Peter, Alan and Shirley are playing a game using the 9 cards shown below.
The cards are turned over and mixed up, so that no one knows which card is which. Each player in turn picks up a card until they each have 3 cards and all 9 cards have been picked up.
The players then add up the numbers on their own cards.
    2 4 6 7 1 3 5 2 3

3. and Shirley has a total of 8.
Peter gets a total of 14.
"You must have picked up cards with the numbers 7, 6 and 1 “, Alan said to Peter. “
Not necessarily ", said Peter, “it could have been cards numbered with 6, 5 and 3 .
INVESTIGATE and find all the different ways that the 9 cards can be picked up so that Peter has a total of 14
Alan has a total of 11
and Shirley has a total of 8.

4. 5 1 2 5 6 1 2 4 4 Repeat the above example for the situation below.
INVESTIGATE and find all the different ways that the 9 cards can be picked up so that Tom has a total of 12, Dom has a total of 10 and Harry has a total of 8. 5 1 2 5 6 1 2 4
Tom, Dok and Harry are
playing a game using the
nine cards shown 4

5. David, Elizabeth and Aimee' are playing a game using the 9 cards shown1 2 1 3 2 4 3
INVESTIGATE and find all
the different ways that
the 9 cards can be picked
up so that
David has a total of 10,
Elizabeth has a total of 8
and Aimee' has a total of 7. 5 4

6. possibilities are listed in the table below
Solution
Solution to :- the
possibilities are listed in the table below

7. 12-10-8 :- the possibilities are listed in the table below
Solution
:- the possibilities
are listed in the table below

8. Solution to 10-8-7 :- the possibilities are listed in the table below