Cayuga Heights 5th Grade Math Club
Problems for February 26, 2016
Cryptarithms
Cryptarithms are puzzles where letters stand for different digits in an arithmetic prob-
lem. The problem is usually to figure out which letters stand for which digits.
Often it helps to write equations using the letters. Algebra can then be used to solve for
the letters.
Sometimes you can narrow the possibilities for a given letter down to a small number
of choices, and you just have to try them and see if there is a way to get a solution.
1. In this addition problem, different letters stand for different digits. What digit does
Astand for? 4A
+A4
B C B
2. HA and AH represent two-digits numbers. If HA โAH = 18, what is the value of
the expression HโA?
3. In this multiplication problem, different letters stand for different digits. What digit
does Hstand for? A H A
รA
T A D A
4. When the six-digit number 3456X7is divided by 8, the remainder is 5. Give both
possible values of the digit X.
5. In this multiplication problem, A and B represent different digits. What is the 4-digit
product?
A B
รB A
๎8
๎ ๎
๎ ๎ ๎ ๎
6. If 23AB3is divisible by 99, what is the two-digit number AB?
