Hints & Answers to the Activity Guide Riddles

**If you've tried really, really hard to figure out the answers to the riddles in the activity guides, you can find hints here. And if you've tried really, really hard to figure them out with the hints and still can't, answers are below that. But I promise you'll feel so much better if you figure them out on your own, and you'll learn so much in the struggle!**

You can do hard things! I believe in you!

You can do hard things! I believe in you!

Hints for *Like Magic*

*"I have many feathers..."*You'll find one of these in

*Like Magic*, and it's something Grace finds in a poem and Jada uses in her art.

*"One day, Jada asks Malia..."*Make a table of all the ways you can multiply three numbers to get 72. (1 x 1 x 72, 1 x 2 x 36, etc.) You'll also want to see what the sum of each of these sets of numbers is. (1 + 1 + 72 = 74, etc.)

*"Since there are three main characters..."*Write down the numbers you have to work with, then figure out how many more you need on each of the three sides. How can you arrange the six remaining numbers so they add up to the three sums you need?

Hints for *Paper Chains*

*Ana in the Attic:*Ana will be able to tell which bulbs are lit up when she goes upstairs, but is there a way to tell whether a bulb has been on after it's turned off?

*The Firebirds:*Firebird A might be able to figure it out, but only if B and C have the same color of feathers as each other. If they don't, Firebird A won't make a guess. Who would this help?

*Thankful Chains:*The numbers of the links will no longer be in order...

*The Dark Bridge:*If Katie and Babushka cross separately, they'll take up lots of time. And we probably don't want either of them bringing the flashlight back...

Answers for *Like Magic*

Highlight the text next to the first words of each riddle to see the answer to that riddle.

*"I have many feathers..."*It's an arrow!

"One day, Jada asks Malia..." The table on the left shows all the possible ages the three cousins could be so that the product of their ages is 72.If Malia tells them that the ages add up to the same number as the house number and Jada and Grace can't figure it out, that means the ages must add up to a number that you can get to with more than one combination of ages. Since the only sum that we see twice in the column on the right is 14, we know that the ages must either be 8, 3, and 3, or 6, 6, and 2. If we know that the oldest one is a really good singer, then there must be one that's older than the others, so the ages are 8, 3, and 3. |

*"Since there are three main characters..."*

1 + 3 + 6 + 7 = 1 + 2 + 5 + 9 = 2 + 3 + 4 + 8 = 17

There are many solutions for arranging the numbers to add up to 20, but here are a few:

20 = 1 + 6 + 8 + 5 = 5 + 2 + 4 + 9 = 9 + 3 + 7 + 1 (corners 1, 5, 9)

20 = 2 + 4 + 9 + 5 = 5 + 1 + 6 + 8 = 8 + 3 + 7 + 2 (corners 2, 5, 8)

20 = 2 + 6 + 7 + 5 = 5 + 3 + 4 + 8 = 8 + 1 + 9 + 2 (corners 3, 5, 7)

20 = 3 + 4 + 8 + 5 = 5 + 2 + 6 + 7 = 7 + 1 + 9 + 3 (corners 4, 5, 6)

20 = 4 + 2 + 9 + 5 = 5 + 1 + 8 + 6 = 6 + 3 + 7 + 4 (corners 4, 5, 6)

20 = 4 + 3 + 8 + 5 = 5 + 2 + 7 + 6 = 6 + 1 + 9 + 4 (corners 4, 5, 6)

Do you notice any pattern in the numbers that go at the corners? Can you find any other numbers besides 17 and 20 that you can make all three sides add up to?

Answers for *Paper Chains*

Highlight the text next to the riddle name to see the answer to that riddle.

*Anna in the Attic:*If there are three switches, Anna can figure out which switch goes with which bulb in only one trip to the attic if she turns on the first two switches and leaves them on for a while, then turns off the first switch before she goes upstairs. Whichever bulb is on goes to switch two. Whichever bulb is on and still cold goes to switch three. And the bulb that's off but still warm goes to switch one.

*The Firebirds:*If Firebird A doesn't know what color her feathers are, B and C must have different colors. So if she doesn't say anything, Firebird B will know that she must have a different color than Firebird C, so she can figure out which color she has and make the correct guess to break the spell!

*Thankful Chains:*Use link 1 to connect 6-7, link 2 to connect 9-10, and 3 to connect 12-13.

*The Dark Bridge:*Ana and Mikey cross together (2 minutes), then Mikey takes the flashlight back (1 minute). Katie and Babushka cross together (10 minutes), then Ana takes the flashlight back (2 minutes). Then Mikey and Ana cross together (2 minutes). Everybody is safely across! 2 + 1 + 10 + 2 + 2 = 17 minutes