Rearranging Formulas (AQA GCSE Maths: Foundation): Exam Questions

Make $q$ the subject of the formula  $6q-7w=19+5q$

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

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

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

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

Rearrange $2\left(w+h\right)=P$ 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 $5x-2y+7=0.$

$y=$.......................... 

Make $t$ the subject of the formula  $11g+4t=2\left(t+7\right)$

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]

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

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 $h^2=x^2+2y^2$.  

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