Number Puzzles and Games

Playing with number puzzles and games will increase your skills and knowledge in math numbers.

Examples on number puzzles and games will help you understand the tricky magic games.

1. Complete the magic square given below so that the sum of the numbers in each row or in each column or along each diagonal is fifteen.

Number Puzzles and Games


The number in the lower-right corner = 15 - (6 + 5) = 4. Fill this number in the cell. 

The number in the lower-middle cell = 15 - (1 + 5) = 9. Fill this number in the cell. 

The number in the lower-left corner = 15 - (9 + 4) = 2. Fill this number in the cell. 

The number in the middle-left cell = 15 - (6 + 2) = 7. Fill this number in the cell.

The number in the upper-right corner = 15 - (6 + 1) = 8. Fill this number in the cell.

The number in the middle-right cell = 15 - (7 + 5) =3. Fill this number in the cell.

Number Puzzles and Games

2. Insert the eight four-digit numbers in the 4 × 4 grid, four reading across and four reading down.

5 4 1 7

9 1 3 2

8 6 2 1

3 7 5 1

6 1 9 3

1 4 7 6

2 7 3 5

6 5 2 8

Number Puzzles and Games


We begin with selecting the two numbers which have the same first digit. Such numbers are 6193 and 6528. Place any of these numbers (say 6193) in the top row. Then, the other number (6528) will appear in the leftmost column. The number 1476 will appear in the second left column. The number 9132 will appear in the third left column and the number 3751 will appear in the rightmost column. The grid will then appear as shown alongside.

Number Puzzles and Games

3. In the following problem, replace the letters of the English alphabet by digits (two or more letters may have the same value) to complete the procedure of division.


In the quotient, the first number is 5 and we know that 9 × 5 = 45. 

Therefore, D = 4 and E = 5.

Now, 48 - 45 = 3

Therefore, A = 8.

Also, to make the number 3F to be divisible by 9 we must have F = 6.

And so, C = 4 and B = 6. Also, G = 3, H = 6.

Thus, the division works out as shown below:

4. Fill in the numbers from 1 to 6 (without repetition) so that each side of the magic triangle adds up to 12.

Math Magic Triangle


Place the largest numbers, i.e., 4, 5 and 6, at the three corners of the triangle.

Now, 4 + 5 = 9, 4 + 6 = 10 and 5 + 6 = 11

Therefore, by placing 3 between 4 and 5, 2 between 4 and 6, and 1 between 5 and 6 we get the desired magic triangle.

Math Magic Triangle

5. Ask a friend to write any number ‘a’. Again, ask him to write any other number ‘b’. Add the two numbers to get the 3rd number. To this (third) number add the number ‘b’. You thus get the 4th number. To this (fourth) number add the 3rd number so as to get the 5th number. Add the 4th and the 5th numbers to get the 6th number. Continue the process till you reach the 10th number. Ask your friend to calculate the sum of all the 10 numbers you obtained. You can solve it before anyone else. How?


Let the first two numbers be 13 and 16.

Then, you get your ten numbers as:

1st— 13

2nd— 16

3rd— 29

4th— 45

5th— 74

6th— 119

7th— 193

8th— 312

9th— 505

10th— 817

You can obtain the sum simply by multiplying the seventh numbers, i.e., 193, by 11.

You thus get 2123. (This result can be verified by actually adding up the above 10 numbers.)

Note: Such numbers are called Fibonacci numbers.

In a Fibonacci system of numbers we get the ten numbers as:

a, b, (a + b), (a + 2b), (2a +3b), (3a + 5b), (5a + 8b), (8a + 13b),

(13a + 21b), (21a + 34b).

Adding all these numbers we get the sum (55a + 88b) which is equal to 1 1(5a +8b), i.e., 11 times the seventh number.

 Fun with Numbers

Playing with Numbers

Test of Divisibility

Number Puzzles and Games

 Fun with Numbers - Worksheets

Worksheet on Number Puzzles and Games

8th Grade Math Practice

From Number Puzzles and Games to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Formation of Greatest and Smallest Numbers | Arranging the Numbers

    May 19, 24 03:36 PM

    Formation of Greatest and Smallest Numbers
    the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number…

    Read More

  2. Formation of Numbers with the Given Digits |Making Numbers with Digits

    May 19, 24 03:19 PM

    In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

    Read More

  3. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

    May 19, 24 02:23 PM

    Arranging Numbers
    We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

    Read More

  4. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 19, 24 01:26 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More

  5. Worksheets on Comparison of Numbers | Find the Greatest Number

    May 19, 24 10:42 AM

    Comparison of Two Numbers
    In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging…

    Read More