Inversely Proportional

Question 1

T is inversely proportional to N. When T = 30, N = 5.
(a) Find an equation connecting T and N.
(b) Work out the value of T when N = 10.

Answer:
(a) T =

(b) T =

Question 2

A is inversely proportional to B. When A = 8, B = 12.
(a) Find an equation connecting A and B.
(b) Work out the value of A when B = 6.

Answer:
(a) A =

(b) A =

Question 3

P is inversely proportional to Q. When P = 20, Q = 4.
(a) Find an equation connecting P and Q.
(b) Work out the value of P when Q = 10.

Answer:
(a) P =

(b) P =

Question 4

Y is inversely proportional to X. When Y = 50, X = 2.
(a) Find an equation connecting Y and X.
(b) Work out the value of Y when X = 10.

Answer:
(a) Y =

(b)Y =  

Question 5

M is inversely proportional to D. When M = 6, D = 3.
(a) Find an equation connecting M and D.
(b) Work out the value of M when D = 9.

Answer:
(a) M =

(b) M =  

Question 1:
W is inversely proportional to √B. When B = 9, W = 9.
(a) Express W in terms of B.
(b) Work out the value of W when B = 4.

 a) W =

(b) B =

Question 2:
P is inversely proportional to √Q. When Q = 16, P = 5.
(a) Express P in terms of Q.
(b) Find the value of P when Q = 4.

(a) P =

(b) Q=

Question 3:
Y is inversely proportional to √X. When X = 25, Y = 6.
(a) Express Y in terms of X.
(b) Find the value of Y when X = 100.

(a) Y =

(b) X=
Question 4:

T is inversely proportional to √M. When M = 1, T = 12.
(a) Express T in terms of M.
(b) Find the value of T when M = 36.

(a) T =

(b) M =

Question 5:
H is inversely proportional to √Z. When Z = 49, H = 2.
(a) Express H in terms of Z.
(b) Find the value of H when Z = 4.

(a) H =

(b) Z =