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Example 10: Complete the given 3 × 3 magic maths fun

square with magic sum 24.
Sudoku is a numerical puzzle based
4 on logic. It consists of 9 × 9 table. It
further divides into 3 × 3 boxes. The objective
6
of the game is to fill every row, column of the
12 5 table and each box with digits 1 to 9.

Solution: Here, order = 3 and magic sum = 24 Solve the given Sudoku. And label whether it
is of level easy/medium/hard.
Since, Magic sum/constant = Order × Central
number 7 5 8 3 2
5 9 2 3
So, central number = 24 ÷ 3 = 8
3 4 6 5 7
Now, by arranging the other numbers around 7 9 5 6 3 2
the central number 8, we get the magic 3 6 9 7 1
square as follows: 6 8 2 7

11 4 9 9 1 4 8 3 5 7 6
6 8 10 3 7 1 4 9 5
5 6 7 4 2 9 1 3
7 12 5

Practice Time 15B

1. In a certain code language, APPLE is written as 11616125. In the same code language, how will SWEET
POTATO be written?
2. In a certain code language, HAPPY is written as 27558 and RUNG is written as 6134. Find the code
for HURRY.

3. In a certain code language, DRAMA is written as 37. In the same code language, how will PLAY be
written?

4. Recognise the number pattern and find the next three terms.
(a) 3, 8, 6, 11, 9, ......, ......, ....... .

(b) 1, 1, 2, 4, 3, 9, ......, ......, ....... .

5. Identify the following number patterns and write the missing terms.
(a) 16, 20, ......, 28, ......, ......, 40.

(b) 2, 6, ......, 54, 162, ......, ...... .
6. Complete the given magic squares.

(a) 7 (b) 3 5
4 8 6
3 7 9

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