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Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

### Legs Eleven

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

# Alphabetti Sudoku

By Henry Kwok

#### Rules of "Alphabetti Sudoku"

Like the standard sudoku, this sudoku variant consists of a grid of nine rows and nine columns subdivided into nine 3x3 subgrids.
It has two basic rules:
• Each column, each row, and each box (3x3 subgrid) must have the numbers 1 through 9
• No column, row or box can have two squares with the same number.

The puzzle can be solved with the help of some starting digits and 9 upper-case letters in certain squares.
The 9 upper-case letters (J and A to H) stand for the 9 mathematical problems given below.
Find the digit in each box of the given problems. After that, you will have to substitute all the letters with the answers and solve the sudoku puzzle with the usual strategy and techniques.

Below are the nine problems. Can you find the answer in each of the problems?

$A. \; 631 - 2\bigcirc 9 = 372$
$B. \; 5\bigcirc 4 + 584 = 1128$
$C. \; 318 \times 6\bigcirc 3 = 220374$
$D. \; 140781 \div 1\bigcirc 7 = 843$
$E. \; 13\bigcirc :209 = 7:11$
$F. \; 32\%$ of $7\bigcirc 1 = 230.72$
$G. \; \frac{\bigcirc 2}{45} \times \frac{5}{4} = \frac{1}{3}$
$H. \; \frac{3}{5} - \frac{\bigcirc}{12} = \frac{1}{60}$
$J. \;$The average of $98$ and $\bigcirc 6$ is $92.$