Proportion (Cambridge International IGCSE Mathematics): Exam Questions

$y$ is inversely proportional to $x^{2}$. When $x=4$, $y=7.5$. Find $y$ when $x=5$.

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

$y$ is inversely proportional to $x^{2}$. When $x=4$, $y=2$. Find $y$ when $x=\frac{1}{2}$.

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

A ball falls $d$ metres in $t$ seconds. $d$ is directly proportional to the square of $t$. The ball falls 44.1 m in 3 seconds.

Find a formula for $d$ in terms of $t$.

$d=$................................................

Extract:

A ball falls d metres in t seconds. d is directly proportional to the square of t. The ball falls 44.1 m in 3 seconds. Find a formula for d in terms of t.

Calculate the distance the ball falls in 2 seconds.

............................................ m

$y$ is inversely proportional to the square root of $x$. When $y=7$, $x=2.25$.
Write $y$ in terms of $x$.

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

$p$ is directly proportional to $( q + 2 )^{2}$. When $q=1$, $p=1$.

Find $p$ when $q=10$.

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

$y$ is directly proportional to $(x-1)^{2}$ . When $x=5,y=4$. Find $y$ when $x=7$.

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

$y$ is directly proportional to the cube root of $( x + 3 )$. When $x=5,y=\frac{2}{3}$.
Find $y$ when $x=24$.

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

$t$ is inversely proportional to the square of $(x+1)$. When $x=2$, $t=5$.

Write $t$ in terms of $x$.

$t$ = ...................................................

Extract:

t is inversely proportional to the square of (x + 1). When x = 2, t = 5.

When $t=1.8$, find the positive value of $x$.

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

$y$ is inversely proportional to the square of $(x+1)$. $y=0.875$ when $x=1$.

Find $y$ when $x=4$.

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