Mathematics-10 Rehearsal Exams 2021

A histogram is a set of adjacent.

• squares

• circles

• rectangles

• none of these

Two linear factors of  $x^2\ -\ 15x\ +56\$  are:

• (x-7) and (x+8)

• (x+7) and (x-8)

• (x-7) and (x-8)

• (x+7) and (x+8)

Mean is affected by change in

• value

• ratio

• origin

• None of these

Find x in proportion 4 : x :: 5 :15

• $\frac{75}{4}$

• $\frac{4}{3}$

• $\frac{3}{4}$

• $12$

If   $\frac{u}{v}=\frac{v}{w}=k,\ then$  

•  $u=wk^2\ \$  

•  $u=vk^2\$  

•  $u=w^2k$  

•  $u=v^2k$  

The third proportion of   $x^2\ \$ and  $y^2\ \$  is

•  $\frac{y^2}{x^2}\$  

•  $x^2y^2$  

•  $\frac{y^4}{x^2}$  

•  $\frac{y^2}{x^4\ }\$  

If a : b = x : y, then alternando property is

• $\frac{a}{x}=\frac{b}{y}$

• $\frac{a}{b}=\frac{x}{y}$

• $\frac{a+b}{b}=\frac{x+y}{y}$

• $\frac{a-b}{x}=\frac{x-y}{y}$

The extent of variation between two extreme observations of a data set is measured by

• range 

• average 

• quartiles

• none of these

A   fraction in which the degree of numerator is less than the degree of the denominator is called

• an equation

• an improper fraction

• a proper fraction 

• an identity

 $\frac{1}{1+\sin\theta}+\frac{1}{1-\sin\theta}=$  

•  $2\sec^2\theta$  

•  $2\cos^2\theta$  

•  $\sec^2\theta$  

•  $\cos\theta$