Holiday Puzzle

1. Find the value of 2² x 9 + 4.
Multiply x 10.
Add 2⁴.
Record your result: __

2. Solve: 7x - 5(x + 4) = 30
From this number, subtract the product of (-2) and (-5).
Multiply that answer by the difference between the square of five and the square root of 441.
Record your result:

3. 6 times 10² =
Subtract 5(19 + 29).
Add the number whose prime factorization is 5² x 3.
Record your result: _

4. Find 3/4 of 32.
Subtract 2³.
Reverse the digits and add the largest prime factor of 51.
Record your result:

5. Find the 15th term of 1, 4, 9, 16, ...
From this, subtract 3⁴.
Now subtract the product of the third and fourth prime numbers.
Record your result: _

6. a² + b² = c² suggests someone's theorem.
How many letters are in his name?
Multiply that number by the difference between the square of four and the first prime number having two digits.
Subtract the cube of 3.
Record your result: _

7. Find the only two digit number that is both a perfect square and a perfect cube.
Add to that number the following two numbers:
a. Work out 111111².
The sum of the digits of your answer is _.
b. Add the product of the number of prime numbers between 10 and 50 and the number of sides in a pentagon.
Record your result: _______

 Arrange your answers:

___  ___  ___  ___  ___  ___  ___
 1    2    3    4    5    6    7 


Code:
   	1 = A
	2 = T
	3 = O
	4 = H
	5 = L
	6 = P
	7 = I
	8 = D
	9 = S
	0 = Y

Use the code to determine the 
message.  For each digit in each
answer above, substitute the 
corresponding letter from the code.

Message: __________________

Arrange your answers: ___ ___ ___ ___ ___ ___ ___ 1 2 3 4 5 6 7 Code: 1 = A 2 = T 3 = O 4 = H 5 = L 6 = P 7 = I 8 = D 9 = S 0 = Y Use the code to determine the message. For each digit in each answer above, substitute the corresponding letter from the code. Message: __________________

Arrange your answers: _ _ _ _ _ _ _ 1 2 3 4 5 6 7 Code: 1 = A 2 = T 3 = O 4 = H 5 = L 6 = P 7 = I 8 = D 9 = S 0 = Y Use the code to determine the message. For each digit in each answer above, substitute the corresponding letter from the code. Message: ________________