Rearranging Formulas (Cambridge (CIE) IGCSE Maths: Extended): Exam Questions

$P=2r+\pi r$

Rearrange the formula to write $r$ in terms of $P$ and $\pi$.

$r$ = ................................................... 

$A=\mathrm{\pi }rl+\mathrm{\pi }{r}^2$  

Rearrange this formula to make $l$ the subject.  

$l$ = ................................................ 

$A=(2\mathrm{\pi }+y)x^2$

Rearrange the formula to make $x$ the subject.

$x=$................................................

Make p the subject of the formula     $y=3p^2-4$

$m=\sqrt{\frac{k+1}{4}}$

Make $k$ the subject of the formula.

$m=2p+\sqrt{\frac{x}{y}}$

Make $x$the subject of this formula.  

$x=$ ................................................

Make $y$ the subject of the formula $h^2=x^2+2y^2$.  

$y=$ .................................................

Rearrange this formula to make $m$ the subject.

$P=\frac{k+m}{m}$ 

Make $m$ the subject of the formula.

$x=\frac{3m}{2-m}$  

$m$ = ...............................................

Make $m$ the subject of   $g—3m=am+5$

Make $v$ the subject of the formula  $w=\frac{15\left(t-2v\right)}{v}$

Make $a$ the subject of   $a+3=\frac{2a+7}{r}$

Make a the subject of the formula  $p=\frac{3a+5}{4-a}$

Make t the subject of the formula 

$p=\frac{3-2t}{4+t}$

Make m the subject of the formula  $f=\frac{3m+4}{m-1}$

Make $g$ the subject of the formula

$T=2\mathrm{\pi }\sqrt{\frac{L+h}{g-a}}$

Leave your answer as a single fraction.

Make t the subject of  $n^2=\frac{4d+t^3}{t^3}$

Make $c$ the subject of the formula  $p=\sqrt{\frac{ac+8}{3+c}}$

Make $x$the subject of $y=\sqrt{\frac{x+1}{x-4}}$

Given that $n>0$ make $n$ the subject of the formula $y=\frac{n^2+d}{n^2}$

Rearrange $y=\frac{1}{\sqrt{x+1}}$ to make $x$ the subject.