Systematic Listing

Systematic Listing

Number puzzle is considered to be one of the unique games in mathematics. These types of games create more interest and involvement to learn mathematics in a very easy manner.

It is very happy to note that most of the number puzzles contain the basic knowledge of mathematics.

Here is a game of number puzzle with a systematic rule and with a specific property.

i. Choose any one number

ii. Add the next number to this

iii. Then add 9

iv. Divide by 2

v. And then subtract the assumed number

vi. Answer 5 (common for all)

Let us know

The above diagram (grid) shows rows and columns, horizontal squares are called Rows vertical squares are called Columns.

Example 1

3×3 Sudoku

The object is to fill all empty squares so that the numbers 1 to 3 appear once in a row and column.

[Answer: (1 2 3), (1 3 2), (2 1 3), (2 1 3), (3 1 2)]

Try this

In how many ways can we arrange the numbers 1 to 3 in first Row? 6 ways

Example 2

4×4 Sudoku

Try it

In how many ways can we arrange the numbers from 1 to 4 in first row? 24 ways

Let us know

5, 3, 2= 15 10 22

9, 2, 4= 18 36 52

8, 6, 3= 48 24 66

5, 4, 5= 20 25 41

 therefore 7, 2, 5 = ?

Answer: 14 35 47

Hint:

(i) Multiply of 1st and 2nd numbers 7 × 2 = 14

(ii) Multiply of 1st and 3rd numbers 7 × 5 = 35

(iii) Add the 2 products and subtract the middle number = 14+35=49–2=45