[2 Mark Question Answer]

Question 12 Marks

Make a formula for the statement$:"$The number of diagonals$, d, $that can be drawn from one vertex of an $n$ sided polygon to all the other vertices is equal to the number of sides of the polygon less $3".$

Answer

Let the number of sides of the polygon $= n$
Number of sides of the polygon less $3 = n - 3$
As per the data$: d = n - 3.$

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Question 22 Marks

The arithmetic mean $M$ of the five numbers $a, b, c, d, e$ is equal to their sum divided by the number of quantities. Express it as a formula.

Answer

Sum of $a, b, c, d, e=a+b+c+d+e$
Number of quantities $=5$
Sum divided by the number of quantities $=\frac{a+b+c+d+e}{5}$
As per the data$: M=\frac{a+b+c+d+e}{5}$.

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Question 32 Marks

The volume$ V,$ of a cone is equal to one third of $\pi $ times the cube of the radius. Find a formula for it.

Answer

Let radius $=r$
Therefore, cube of radius $=r^3$
One third of times $\pi$ the cube of the radius $=\frac{1}{3} \pi r ^3$
As per the data$: V=\frac{1}{3} \pi r^3$.

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Question 42 Marks

The simple interest on a sum of money is the product of the sum of money, the number of years and the rate percentage. Write the formula to find the simple interest on Rs $A$ for $T$ years at $R%$ per annum.

Answer

Let the simple interest $=1$
Now simple interest on sum of money $=$ product of sum of money,
number of years and rate
$\text { percentage }=\frac{A \times I \times R}{100}$
As per the data $I =\frac{ A \times I \times R }{100}$.

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MATHEMATICS [2 Mark Question Answer]

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