WORKSHEET ( Based on Chapters 9 to 16 )

Find the probability of selecting a vowel from the English alphabet?

Two poles of height $18$ m and $28$ m stand upright on a plane ground. If the distance between their feet is $24$ m, find the distance between their tops.

In the given figure, $ABCD$  is a quadrilateral in which diagonal $\mathrm{AC}$ $=84\mathrm{cm}$, $\mathrm{DL}\perp \mathrm{AC}$ , $\mathrm{BM}\perp \mathrm{AC}$, $\mathrm{DL}=14.2\mathrm{cm} , \mathrm{BM}=5.8\mathrm{cm}$. Find the area of quadrilateral $\mathrm{ABCD}$.

If the area of a triangle is equal to the area of a square whose each side measures $10$m, find the length of the side of a triangle corresponding to the altitude measuring $5$m.

If letters of the word ‘MAHABHARATA’ are put in a box and one letter is taken out at random, find the probability of taking out: 
the letter $\mathrm{A}$.

If letters of the word ‘MAHABHARATA’ are put in a box and one letter is taken out at random, find the probability of taking out:
A letter other than $\mathrm{A}$

If letters of the word $‘\mathrm{MAHABHARATA}’$ are put in a box and one letter is taken out at random, find the probability of taking out the letter $\mathrm{N}$.

Draw an isometric sketch of a cuboid with dimensions $6 \mathrm{cm}\times 4 \mathrm{cm}\times 3 \mathrm{cm}$