Ma 310 Exam 2 Worksheet With Answers - University Of Kentucky (Page 3 of 4) in pdf

Ma 310 Exam 2 Worksheet With Answers - University Of Kentucky Page 3

need to write out a full verbal explanation of your solution—just show your matrices

(if you choose to use them).

(a) Nobody got a state quarter from a state whose name started with the same letter

as his or her name.

(b) Robin and Jen work together. Their coworker Thelma gave one of them the

Delaware state quarter.

has it.

(d) One of Jen’s two sons has the Massachusetts quarter.

(e) Miles got home from school and told his mom that he got the New York quarter.

His brother Dustin wasn’t home.

From statements (6c), (6d), and (6e) we see that Jen’s sons are Miles and Dustin, and

hence Robin’s son is Nicholas. Once you realize this, you can ﬁll in the chart using the

various clues.

RI DE MA NY PA

Robin

Jen

Nicholas

Dustin

Miles

7. One day I began making triangular patterns with toothpicks.

As you can see, the ﬁrst pattern (which has a base of length one toothpick) uses a total

of 3 toothpicks. The second pattern (which has a base of length two toothpicks) uses a

total of 9 toothpicks. The third pattern (which has a base of length three toothpicks)

uses a total of 18 toothpicks. How many toothpicks are required to make the hundredth

pattern? Why?

Ma 310 Exam 2 Worksheet With Answers - University Of Kentucky Page 3