Question Library

Y is partly constant and partly varies as x. When x = 3, y = 7 and when x = 5, y = 11. Find the constants of variation.

A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2

P is partly constant and varies partly as Q. If P = 32 when Q = 16 and P = 20 when Q = 12, find P when Q = 28

y is inversely proportional to x and y = 4, when x = \(\frac{1}{2}\), find x when y = 10

U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.

If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.

If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y

M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.

If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when u = 2 and v = 6, find a relationship between u, v, w.