BRAIN CHALLENGES!
Math Frog: Math Frog - Play me!
Today's Calcrostic Puzzle
ab / a = cb - / + × + cb / d = e = = = = = db - e = ce
Calcrostic Puzzle
We call these problems calcrostic because they are showing calculations in a form similar to acrostic word puzzles. The color in the puzzle is used to indicate the computations in the rows, columns and diagonals. In a calcrostic, like:
ab × cd = ebaf + × ÷ ÷ − egf × h = hdc = = = = = ejc × k = bfj
each letter represents a digit (one of 0,1,2,3,4,5,6,7,8,9). Equal letters represent equal digits, different letters represent different digits. The 9 resulting numbers ab, cd, ebaf, egf, h, hdc, ejc, k, bfj may have more than one digit (for example, ab is a 2-digit number) and are arranged in a 3 × 3 square as above. These numbers satisfy 3 horizontal, 3 vertical and 2 diagonal relations (like the diagonal relation ab × h = bfj where × stands for multiplication and ÷ for division. The problem is to find the value of each letter.
For example, the puzzle above has the solution
54 × 27 = 1458 + × ÷ ÷ − 108 × 9 = 972 = = = = = 162 × 3 = 486
Have fun!
October 20th
Sept. 24th
This week's BRAIN CHALLENGE:
a)Using the numbers from 2-8 once each, create a 4 digit number and a 3 -digit number that gives you the largest possible answer. How do you know you are correct?
b) Now, create a 4-digit and 3 digit number (remember, you can only use each number once), with the SMALLEST sum (answer).
Sept. 15th -
What's the mystery number?
- It's greater than one million but less than ten million.
- It's an even number.
- None of the digits is less than 3.
- No digit is used more than once.
- The sum of the digits in the ones, tens, hundred column is 12.
- The digit in the ten thousands place is equal to the sum of the digits in the tens and hundreds places.
- The digit in the millions place is 2 more than the digit in the thousands place.
- The digit in the hundred thousands place is twice the digit in the tens place.
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