Math Challenge Problems

This summer I've been sharing some of my favorite math enrichment problems with a small group of students via Zoom. It occurred to me that others might enjoy these. 

For starters, a list of useful strategies to keep on hand.

The next problem is VERY old--take some of the social situation references from the early 1960s:

Here are the clues. Use them to name each player that fields each of the nine positions on the diamond.

Clue # 1 – Andy dislikes the Catcher

Clue # 2 – Ed’s sister is engaged to the second baseman

Clue # 3 –  The center fielder is taller than the right fielder

Clue #  4 – Harry and the third baseman live in the same building

Clue # 5 – Paul and Allen each won 20 dollars from the pitcher at pinochle

Clue # 6 – Ed and the outfielders play poker during their free time

Clue # 7 – The pitcher’s wife is the third baseman’s sister

Clue # 8 – The catcher, pitcher, and infield except for Allen, Harry and Andy are shorter than Sam

Clue # 9 – Paul, Andy and the shortstop lost 150 dollars each at the racetrack

Clue # 10 – Paul, Harry, Bill and the catcher lost to the second baseman at pool

Clue # 11 – Sam is undergoing a divorce suit

Clue # 12 – The catcher and the third base each have two children

Clue # 13 – Ed, Paul, Jerry, the right fielder and the center fielder are bachelors, the others are married

Clue # 14 – The shortstop, third baseman and Bill each won betting on a fight

Clue # 15 – One of the outfielders is either Mike or Andy

Clue # 16 – Jerry is taller than Bill. Mike is shorter than Bill. Each of them is heavier than the third baseman.

Who plays each position?