Out of the 9 numbers, how many supercells are there in the table above? Class 6

Out of the 9 numbers, how many supercells are there in the table above? Class 6

Question 1.

Out of the 9 numbers, how many supercells are there in the table above? Class 6

Solution:

In the above table, there are five supercells.

Question 2.

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. Class 6

Solution:

For 2 numbers, 1[latex]\left(\frac{2}{2}\right)[/latex] supercell is possible;

For 3 numbers, [latex]\frac{3+1}{2}[/latex] = 2 supercells are possible;

For 4 numbers, [latex]\frac{4}{2}[/latex] = 2 supercells are possible;

For 5 numbers, possible; [latex]\frac{5+1}{2}[/latex] = 3 supercells are possible;

For 6 numbers, [latex]\frac{6}{2}[/latex] = 3 supercells are possible; and so on. Thus, the pattern is as follows:

(a) If the number of given numbers is even (2, 4, 6, ...), then the maximum number of that even number supercells possible = [latex]\frac{\text { that even number }}{2}[/latex]. example, for 10 numbers, the maximum number of supercells will be [latex]\frac{10}{2}[/latex] = 5.

(b) If the number of given numbers is odd (1, 3, 5, 7, 9, ...), then the maximum number of supercells possible [latex]\frac{\text { that odd number }+1}{2}[/latex]. For example, for 9 numbers, the maximum number of supercells possible [latex]\frac{9+1}{2}[/latex] = 5.