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Let’s do some other variation. Here is a 3 by 3 magic square, also known as the 2 7 6
Lo Shu magic square. Can you guess why 2 out of 9 numbers are coloured?
9 5 1
The simple reason behind this is that only those numbers are coloured whose
adjacent cells – up and down, right and left are greater than the number. Here, 4 3 8
1 is smaller than the numbers 6, 8 and 5, which are in the three adjacent cells.
Similarly, 3 is coloured because its adjacent

cells have numbers 4, 5 and 8 which are Knowledge Desk
greater than it. Thus, the coloured numbers The 3 × 3 magic square is known
are called subcells. as the Lo Shu square. King Yu found

You can make another attempt to colour the this magic square where the sum
supercells or subcells of numbers in different of the rows, columns and diagonals
were 15.
sets of magic squares, magic triangles, and
magic circles. Just explore it and give it a try.

Example 2: Complete the table with 5-digit numbers whose digits 96301 36109
are ‘1’, ‘0’, ‘6’, ‘3’, and ‘9’ in some order. A coloured cell should have a 13609 60319 19306
number greater than all its neighbours.
60193
After completing the table:
(a) encircle the biggest number 10963

(b) tick the smallest even number, and

(c) cross out the smallest number greater than 50,000 in the table.

Solution: We can form various numbers to complete the given table. One possible way is shown
below.

96310 96301 36109 36910

13690 13609 60319 19306

13906 10936 60193 19360

10369 10963 10396 19630

www
MAths connect
Our solar system has eight planets: Mercury, Venus, Mars, Earth, Jupiter, Saturn, Uranus, and Neptune.
Although all these planets are spherical, but they all vary in size. All the planets move around the
sun in fixed paths, which are called orbits.
Draw a diagram of the solar system. Mention the diameter of each planet taking the help of internet or any other
resource, and answer the following questions:
1. Find the largest and smallest planets and write their diameters.
2. Write all the planets according to their diameters in ascending order.
3. If you write the diameters of planets in a table in order to their distances from the sun, how many supercells
and subcells will be found?

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