Holiday Puzzles 2023

1. PRODUCT COMPARISONS
Place a positive integer in each empty square so that two multiplication equations are true. Digits vertically adjacent will be within 1 of each other. Vertical <, >, or = indicate whether they are equal or which one is bigger.

2. MORE CHRISTMAS EMOJI SONGS
What Christmas songs do each of these triples of emoji represent?  
a)     b)     c)     d)    
e)     f)     g)     h)    
i)     j)     k)     l)    

3. MATCHSTICK MATH

In what sense are the equations 9+1=4+7 and 1+2+5=8+3 true?

4. HAPPY NEW YEAR!

Fill in the empty circles with numbers. Each circle should contain either the product or the absolute difference of the numbers in the two circles directly above it.
 

5. U CAN DO IT
Put a letter in each blank to form words.
1. _ U U _ U U
2. U _ U _ U _ _
3. _ U _ U _ U _
4. _ U _ U _ _ U
5. U _ _ _ U _ U _
6. _ U _ _ U _ U _
7. U _ _ U _ _ U _ _
8. U _ _ U _ _ _ U _
9. _ U _ _ _ U _ U _