# Worksheet: Cryptarithmetic

In this worksheet, we will practice solving cryptarithmetic puzzles in which numeric digits are replaced by letters of the alphabet.

**Q1: **

Each letter in this cryptarithmetic puzzle represents a different digit, and none of the numbers use leading zeros.

Find the value of each letter in the puzzle in order to make a correct sum.

- AC = 9, R = 6, O = 2, S = 3, A = 5, D = 1, N = 8, G = 7, E = 4
- BC = 3, R = 5, O = 1, S = 4, A = 9, D = 2, N = 7, G = 6, E = 8
- CC = 1, R = 2, O = 0, S = 3, A = 9, D = 1, N = 4, G = 5, E = 7
- DC = 2, R = 8, O = 5, S = 9, A = 4, D = 1, N = 0, G = 3, E = 6
- EC = 5, R = 7, O = 2, S = 9, A = 3, D = 1, N = 6, G = 4, E = 8

**Q2: **

Each letter in this cryptarithmetic puzzle represents a different digit, and none of the numbers use leading zeros.

After finding the value of each letter in this well-known cryptarithmetic puzzle to make a correct sum, use the letter values to calculate the result of M + O + N + E + Y.

**Q3: **

Each letter in this cryptarithmetic puzzle represents a different digit, and none of the numbers use leading zeros.

After finding the value of each letter in the puzzle in order to make a correct sum, work out the value of the number represented by the word FIFTY.

**Q4: **

After finding the value of each letter in the puzzle in order to make a correct sum, work out which number would be represented by the word NIFTY.

**Q5: **

After finding the value of the digit that each letter represents in order to make this a correct sum, work out which number would be represented by the word STELLAR.

**Q6: **

Each letter in this cryptarithmetic puzzle represents a different digit, and none of the numbers use leading zeroes.

Everyone is a winner when learning with Nagwa! After finding the value of the digit that each letter represents in order to make this into a correct sum, use your result to find the value of LEARNING.

**Q7: **

Each letter in this cryptarithmetic puzzle represents a different digit, and none of the numbers use leading zeroes.

After finding the value of the digit that each letter represents in order to make this musical cryptarithmetic puzzle into a correct sum, write down the number represented by the word LOVE.

**Q8: **

After finding the value of the digit that each letter represents in order to make this food-related cryptarithmetic puzzle into a correct sum, find the number that you get if you add MEAT to OATMEAL.

**Q9: **

You can find the value of the digits represented by each letter more easily if you rearrange the calculation as follows.

After solving the puzzle to find out which digit is represented by each letter, find the number represented by the word WORKTIME.

**Q10: **

After finding the value of the digit that each letter represents in order to make this a correct sum, find the value of the number you get if you add HORSE to ASCOT.

- A142,013
- B193,214
- C219,728
- D507,152
- E309,137

**Q11: **

After finding the value of the digit that each letter represents in order to make this a correct sum, find out which number is represented by the word PINWORK.

**Q12: **

You will have to use your brains to work out the value represented by each letter in this puzzle. Use what you found out to write down the number that would be represented by the word BRAINS.

**Q13: **

After finding the value of the digit that each letter represents in order to make this a correct sum, write down the values of the numbers represented by the words ROPEY PLEURON.

- A30,857 8,452,309
- B45,186 1,283,459
- C23,816 8,719,234
- D17,926 9,324,178
- E61,493 4,297,615

**Q14: **

After finding the value of each letter in the puzzle in order to make a correct sum, write down the number represented by the word TROWEL.

**Q15: **

There are two possible solutions to this puzzle. Find the value of F + I + V + E + N for the solution in which the value of N is less than 5.

**Q16: **

After finding the value of the digit that each letter represents in order to make this fruit-related cryptarithmetic puzzle into a correct sum, find the number represented by the word MOONBEAM.

**Q17: **

Each letter in this cryptarithmetic puzzle represents a different digit, and none of the numbers use leading zeroes.

There are 3 possible sets of values for the letters M, O, C, and W in order to make this a correct sum.

It has been said that a “wombat” is something you can use when playing “wom.” Use the cryptarithmetic solution which has the smallest value of M to calculate the value of W + O + M.

**Q18: **

How many different sets of values for I, H, and A make this a correct sum?

**Q19: **

Find the value of each letter in the puzzle in order to make a correct sum.

- AB = 6, A = 5, S = 7, E = 2, L = 4, G = 1, M = 8
- BB = 7, A = 4, S = 8, E = 3, L = 5, G = 1, M = 9
- CB = 5, A = 6, S = 9, E = 2, L = 3, G = 1, M = 7
- DB = 4, A = 3, S = 6, E = 9, L = 7, G = 2, M = 8
- EB = 9, A = 6, S = 3, E = 1, L = 4, G = 1, M = 7

**Q20: **

The English coins are 1p, 2p, 5p, 10p, 20p, 50p, £1, and . A man has 4 coins in his pocket. Using the clues, can you work out what the coins are?

- He can not afford an item that costs .
- Two of the coins are the same.
- Three of the coins add up to 57p.
- The total amount of money he has is an even number.

- A2p, 2p, 5p, 50p
- B2p, 5p, 5p, 20p
- C2p, 5p, 5p, 50p
- D1p, 2p, 5p, 50p
- E2p, 5p, 50p, 50p

**Q21: **

What digit in place of B would make the shown sum true?

**Q22: **

What digit is ?

**Q23: **

In the given cryptogram, A is a positive single-digit integer. Find the missing 5-digit sum.