V K Raman and S N Sharma Solutions for Exercise 3: MASTERY TEST

Reduce $\frac{1-x^2}{4a(1-x)}$ to lowest term

If  the expression $\frac{x^2{y}^2-x{y}^2}{3(x-1)}$ is reduced to lowest term as $\frac{x{y}^m}{n}$, find the value of $m-n$

Simplify $\frac{5}{13a} \mathrm{of} \left(\frac{3\mathrm{a}}{5}+\frac{7\mathrm{a}}{10}\right)$.

Simplify $\left(\frac{8a}{9}-\frac{2a}{3}\right)+\frac{2a}{3}$.

Four times a number is $2$ more than $10.$ Find the number.

The first numbers of the four elements of a set of ordered pairs is given by the set $\{3, 4, 5, 6\}.$ Draw the arrow diagram using the rule 'is one-fourth of'.

Write the rule of mapping in words in $\left\{\right(10, 5), (8, 4), (6, 3), (4, 2\left)\right\}$

Write the rule of mapping in words in $\left\{\right(2, 6), (3, 9), (4, 12), (5, 15\left)\right\}$