High-Low - Math Worksheet With Answers

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3–15
Name
Date
High-Low
1
1
Work in groups of three. Write a fraction on one side of an index card. Start with
and
;
2
3
2
1
2
3
9
etc., up to
You should have a total of 45 cards. Shuffle the deck and place the
;
;
;
;
.
3
4
4
4
1
0
cards face down on the table.
One person in the group is the dealer. The other two are the players. If you are the first
player, take your turn by picking the top two cards. Then add the fractions correctly in sim-
plest form. (The dealer checks.) Then either say “higher” or “lower,” according to what you
think the other player will draw. If you are right, you go again. If you are wrong, the other
player goes. Whoever has the most cards when the deck is finished wins.
You can keep reshuffling the deck and play more games, changing dealers each time.
Play the game and answer the questions.
Is it possible for one player to win all the cards? Why or why not?
1.
What is the highest number possible from the addition of two cards? What is the lowest?
2.
Between which pairs of denominators is the least common multiple
the product of
3.
the two denominators?

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