Leah wrote 4 letters and correctly addressed 4 envelopes. She put one letter into each envelope, but she was careless and got some of them mixed up. As it happened, one of these three things was how it came out: she got exactly 3 of them right, or she got exactly 2 of them right, or she got exactly one of them wrong. How many did she get right?
Set 18
Words, Short to Long
The words below go from 2 letters to 15 letters in length. They aren’t a very fascinating bunch of words. Can you make a list of interesting words about your county?
BE
OAK
ROOM
AFTER
SCHOOL
KITCHEN
OVERCOAT
REVOLVING
DEMOCRATIC
ENTERTAINER
MATHEMATICAL
SPORTSMANSHIP
KINDERGARTENER
INTERNATIONALLY
OAK
ROOM
AFTER
SCHOOL
KITCHEN
OVERCOAT
REVOLVING
DEMOCRATIC
ENTERTAINER
MATHEMATICAL
SPORTSMANSHIP
KINDERGARTENER
INTERNATIONALLY
Squares in Sixteen Dots
Here are 16 dots arranged as what are called lattice points. Pretend that they are trees in an orchard. If you tie a rope around some of these trees you can make squares. How many different sized squares can you make this way? (You are not asked to count how many of each size; just find all the different sizes possible.)
Squares on a Checkerboard
How many squares can you find on a checkerboard? (More than 64!)
Squares in Twelve Dots
How many squares have four of these points as vertices?