Rearranging Formulas (Cambridge International IGCSE Mathematics): Exam Questions

Make$x$the subject of this formula.

$2y=5x-7$

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

Make$m$the subject of the formula $y=4m-p$

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

Make$r$ the subject of this formula.

$p=3r-5$

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

Make $p$ the subject of this formula.

$H=7p-3$

$p=$...............................

Make $x$ the subject of the following formula

$T = 1 \frac{1}{3} ( 5 x + 2 )$

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

Rearrange the formula $5w--3y+7=0$ to make $w$ the subject.

$w=$..........................

Rearrange $T = 5 ( p + 2 )$ to make $p$ the subject.

$p$ = ...................................................

Rearrange $2 ( w + h ) = P$ to make $w$ the subject.

$w=$ ..............................

Make $r$ the subject of the formula.

$T=3(r+5)$

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

Make $y$ the subject of the equation $5x-2y+7=0.$

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

Rearrange $y=2x+1$ to make $x$ the subject of the formula.

Rearrange this formula to make $x$ the subject.

$5x^{2}-3y=4y+8$

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

Some students dive off boards of different heights.

The speed, $s$ m/s, that they enter the water from a board of height $h$ metres, can be found using this formula.

$s=\sqrt{19.6h}$

i) Calculate the value of $s$ when $h$ = 10.

$s$ = ................................. [2]

ii) Make $h$ the subject of the formula.

$h$ = ................................. [2]

$A=(2π+y)x^{2}$

Rearrange the formula to make $x$ the subject.

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

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

Make $x$the subject of this formula.

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

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

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