Logic Problems : Using a Matrix

Directions
Read each situation and all the clues provided. Look for the clues that give a definite yes or no answer. Mark the boxes with a O for yes and an X for no. You may need to go through the list of clues two or more times since some clues may make other clues more helpful.

Situation 1
Christine, Kali, Bianca, Jacob, Matthew, and Jason all love to watch and play sports, but they each have a different favorite sport. Which sports do the tree house detectives enjoy?

CLUES:

• Kali plays a sport with a round ball.
• In Bianca's favorite sport, one way to score is by kicking the ball.
• Christine usually competes against one or two opponents at a time.
• Jacob really can't practice his sport very well alone.
• Matthew's favorite sport requires ropes for safety.
• For Jason to win, he has to be faster than everyone else.

	Golf	Basketball	Football	Swimming	Tennis	Rock Climbing
Christine
Kali
Bianca
Jacob
Matthew
Jason

Situation 2
Bianca, Jacob, Matthew, and Kali each play an instrument. No two tree house detectives play the same instrument. Match the instrument with the correct tree house detective.

CLUES:

• Jacob plays a stringed instrument.
• A girl enjoys playing the trombone.

	Flute	Drums	Trombone	Guitar
Bianca
Jacob
Matthew
Kali

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Answer Key

	Golf	Basketball	Football	Swimming	Tennis	Rock Climbing
Christine	X	X	X	X	O	X
Kali	O	X	X	X	X	X
Bianca	X	X	O	X	X	X
Jacob	X	O	X	X	X	X
Matthew	X	X	X	X	X	O
Jason	X	X	X	O	X	X

	Flute	Drums	Trombone	Guitar
Bianca	X	X	O	X
Jacob	X	X	X	O
Matthew	O	X	X	X
Kali	X	O	X	X