Find out how many supercells are possible for different numbers of cells. Do you notice any pattern? What is the method to fill a given table to get the maximum number of supercells? Explore and share your strategy

Important Questions on Number Play

MEDIUM

Mathematics>Arithmetic>Number Play>Supercells

There is only one supercell (number greater than all its neighbours) in this grid. If you exchange two digits of one of the numbers, there will be $4$ supercells. Figure out which digits to swap.

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MEDIUM

Mathematics>Arithmetic>Number Play>Supercells

Fill the table below such that we get as many supercells as possible. Use numbers between $100$ and $1000$ without repetitions.

EASY

Mathematics>Arithmetic>Number Play>Supercells

Can you fill a supercell table without repeating numbers such that there are no supercells? Why or why not?

MEDIUM

Mathematics>Arithmetic>Number Play>Supercells

Fill a table such that the cell having the second largest number is not a supercell, but the second smallest number is a supercell. Is it possible?

MEDIUM

Mathematics>Arithmetic>Number Play>Supercells

Fill a table such that the cell having the second largest number is not a supercell.

MEDIUM

Mathematics>Arithmetic>Number Play>Supercells

Will the cell having the largest number in a table always be a supercell? Can the cell having the smallest number in a table be a supercell? Why or why not?

MEDIUM

Mathematics>Arithmetic>Number Play>Supercells

Fill the table below such that we get as many supercells as possible. Use numbers between $100$ and $1000$ without repetitions.