# **Sudoku Puzzles**

**Sudoku puzzles** are an exciting game for kids. Here students will learn about sudoku rules, sudoku examples, sudoku tricks and tips, sudoku 9 × 9, and how to solve sudoku puzzles. That also connects students with the mathematical concept of addition sums for class 3 and multiplication sums for class 3.

## What Is Sudoku Puzzle?

One of the most popular games, sudoku, is a logic-based number placement puzzle. The objective of classic sudoku is to fill the 9 × 9 grids with numbers from 1-9 such that no digit repeats in each row or column of the grid. French newspapers published variations of the sudoku puzzles in the newspaper in the 19th century. Sudoku gained worldwide popularity in 1986. Japanese puzzle company Nikoli started publishing Sudoku in the name of ‘single number’. Sudoku doesn’t require math skills; only brain and concentration are needed to solve sudoku.

### Sudoku Examples

**Common Sudoku:**

Usually, a 9 × 9 grid with 3 × 3 regions is the most common sudoku.

## How to Solve Sudoku Puzzles?

The game starts with a 9 × 9 grid, some of which squares are filled in with numbers. The player must fill the missing digits with logic and complete the grid. One should remember that

- Any row should not contain more than one of the same numbers from 1-9.
- Any column should not contain more than the same numbers from 1-9.
- Any 3 × 3 grid should not contain more than the same numbers from 1-9.

### Sudoku Tips

Sudoku is a fun puzzle game that is very intimidating for beginners. These are a few tips for beginners to improve their sudoku skills.

**Tip 1:****Tip 2:**

First, we need to look for the 3 × 3 sections that contain five or more numbers. Work through the remaining empty cells by filling them with the numbers that are not being used. There will come many cases where we will find numbers that can only be used in one position.

It will be easy to divide the grid visually into 3 columns and 3 rows.

### Sudoku Example:

Like in this sudoku puzzle, there are two 3 × 3 sections with 5 numbers. One can start with anyone of them.

Here it is solved.

**Addition Sums for Class 3**

## Question 1:

Anish’s Uncle Has Visited His Place. Anish Learned From Him to Solve a Sudoku Puzzle That He Has Given Him. Anish’s Uncle Has Given Him This Sudoku.

Solve the Sudoku. Then Check if the Sum of the Numbers in the Row and the Sum of the Numbers in the Columns Are the Same.

### Answer:

The solution to the sudoku is

**In the row:**

8 + 2 + 7 + 1 + 5 + 4 + 3 + 9 + 6 = 45

9 + 6 + 5 + 3 + 2 + 7 + 1 + 4 + 8 = 45

3 + 4 + 1 + 6 + 8 + 9 + 7 + 5 + 2 = 45

Adding the numbers for the other rows, we will get the same sum for all the rows because the numbers along every row are the same. So, the sum of the numbers in the rows will be the same.

**In the column:**

8 + 9 + 3 + 5 + 4 + 6 + 7 + 1 + 2 = 45

2 + 6 + 4 + 9 + 7 + 1 + 8 + 5 + 3 = 45

Adding the numbers for the other columns, we will get the same sum for all the columns because the numbers along every column are the same. So, the sum of the numbers in the column will be the same.

## Question 2:

The Teacher Has Drawn Sudoku on the Board and Asked Each Student to Put a Number to Fill Up the Sudoku.

Solve the Sudoku. Then Check the Sum of Each 3 × 3 Grid Is the Same or Not.

### Answer:

Here is the solution to the sudoku that the students of the class have done.

Now, we have to check the sum of the numbers for each 3 × 3 grid.

Now in this blue marked 3 × 3 grid, the sum of the numbers is

7 + 9 + 3 + 6 + 5 + 4 + 1 + 2 + 8

= 16 + 3 + 6 + 5 + 4 + 1 + 2 + 8

= 19 + 6 + 5 + 4 + 1 + 10

= 25 + 10 + 10

= 35 + 10

= 45

Now in this pink marked 3 × 3 grid, the sum of the numbers is

2 + 1 + 9 + 3 + 4 + 6 + 7 + 5 + 8

= 2 + 10 + 7 + 6 + 12 + 8

= 12 + 7 + 6 + 20

= 32 + 13

= 45

Similarly, we can check for the other grids also. It is evident that the sum will be the same for all the 3 × 3 grids because the numbers in all the 3 × 3 grids are the same. Hence, the sum of all the 3 × 3 grids will be the same.

**Multiplication Word Problems for Class 3**

## Question 3:

Dipa Has Given Nisha This Sudoku to Solve. Help Nisha to Solve the Sudoku.

After Solving the Sudoku, Check if the Product of Each 3 × 3 Grid Is the Same or Not.

### Answer:

Here is the solution to the sudoku.

Now, we have to check the product of the numbers for each 3 × 3 grid.

Now in this purple marked 3 × 3 grid, the product of the numbers is

1 × 5 × 9 × 4 × 6 × 8 × 7 × 3 × 2

= 45 × 4 × 6 × 8 × 7 × 3 × 2

= 180 × 6 × 8 × 7 × 3 × 2

= 1080 × 8 × 7 × 3 × 2

= 8640 × 7 × 6

= 60480 × 6 = 362880

Now in this blue marked 3 × 3 grid, the product of the numbers Is

7 × 6 × 8 × 2 × 4 × 1 × 3 × 9 × 5

= 42 × 8 × 2 × 4 × 1 × 3 × 9 × 5

= 336 × 2 × 4 × 1 × 3 × 9 × 5

= 672 × 4 × 3 × 9 × 5

= 2688 × 3 × 9 × 5

= 8064 × 9 × 5

= 72576 × 5

= 362880

Similarly, we can check for the other grids also. It is evident that the product will be the same for all the 3 × 3 grids because the numbers in all the 3 × 3 grids are the same. Hence, the product of all the 3 × 3 grids will be the same.

## Question 4:

Shukla Found Sudoku in the Newspaper, and She Wants to Solve the Sudoku. Help Her to Solve the Sudoku.

Then Check if the Product of the Numbers Along the Rows Is the Same or Not. Similarly, whether if the Product of the Numbers Along the Columns Is the Same or Not.

**In the row: **

4 × 3 × 5 × 2 × 6 × 9 × 7 × 8 × 1 = 12 × 5 × 2 × 6 × 9 × 7 × 8

= 60 × 2 × 6 × 9 × 7 × 8

= 120 × 6 × 9 × 7 × 8

= 720 × 9 × 7 × 8

= 6480 × 7 × 8

= 45360 × 8

= 362880

Since the numbers are the same in every row, then for every row then the product of each row is the same.

**In the column: **

4 × 6 × 1 × 8 × 3 × 9 × 5 × 2 × 7 = 24 × 8 × 3 × 9 × 5 × 2 × 7

= 192 × 3 × 9 × 5 × 2 × 7

= 576 × 9 × 5 × 2 × 7

= 5184 × 5 × 2 × 7

= 5184 × 10 × 7

= 51840 × 7

= 362880

Since the numbers are the same in every column, then for every row

then the product of each column is the same.