1. Grade 4
Problem Solving Performance Task
Write a mathematical problem based on the characters of your fantasy story, or
everyday life. Be sure that it can be solved using logical reasoning as a strategy.
Problem:
Five friends (Joshua, Henry, Dan, Jane and Amy) are all going to buy a car.At the car
shop, each person chooses a different color. Use to clues to work out which person
chose each car.
Clues:
 The woman that bought a white car was not Jane.
 Dan doesn’t like red.
 Jane didn’t choose blue.
 Joshua likes black.
 Henry’s favorite color is blue.
Grid:
Blue Silver Red Black White

Joshua
X X X X
 
Henry
X X X X
Dan X X X X

Jane
X X X X
Amy
X X X X
Answer:
1. Joshua chose black.
2. Henry chose blue.
3. Dan chose silver.
4. Jane chose red.
5. Amy chose white.