Thinking Hat Exercises

I've been informed that some people don't have the TK worksheet. So, I'll post the questions here:

HAT EXERCISE B: (Adeline's group; Kate's group)

There are three children named Amy, Sarah and Eric. There are five hats; two are yellow and three are pink. Each child can see only two hats, those worn by the other children. They cannot see the unworn hats or their own hats. Use the facts below to deduce the color of each child's hat.

Fact: When asked if any of the children knew the color of their own hats. Eric was the only one that knew the color of his hat.

HAT EXERCISE C: (Grace's group; Jonathan's group)

There are three children named Mike, Max and Nancy. There are five hats, three black and two white. Each child can only see two hats, those worn by the other children. Use the facts below to deduce the color of Nancy's hat.

Facts:

After looking at the other children's hat, Mike said, "I don't know the color of my hat."

Max has the same reply.

However, Nancy knew the color of her hat.

HAT EXERCISE D: (Daniel's group; Melissa's group)

There are three girls named Julie, Jill and Janet. There are six hats, three red and three green. Each girl can see only the two hats worn by the other girls. The girls cannot see their own hats or the unworn hats. Use the facts below to deduce the color of Jill's hat.

Facts:

When asked if they could see a red hat, all three girls answered "Yes"

When asked if they could name the color of their hats, Jill was the only girl who said she couldn't.

Bonus: After hearing Janet's and Julie's answer, Jill said "If my sisters know the color of their hats, then I can deduce the color of mine." Explain how she could do this.

Please don't ask me to type out Exercise A.

Goldwin