Variation

Given that q varies directly as the square of p and q = 18 when p = 3, express q in terms of p.

• q =  $2p^2$  

• q =  $p^2$  

• q = 2p

• q =  $\frac{1}{2}$  $p^2$   

It is given that M varies directly as the cube root of N and M = 15 when N = 27. Express M in terms of N.

• M = 5N

• $M\ =\ N^{\frac{1}{3}}$

  
  

• M = 5N 3

• $M\ =\ 5N^{\frac{1}{3}}$

Table shows the values of the variables x and y which satisfy a relation.

• 25

• 16

• 9

• 36

Given that g varies directly as h² and h = 8 when g = 320, find the probably value of g when h = 5.

• 5

• 25

• 125

• 200

It is given that T varies inversely as the square root of U and T = 2 when U = 81. Express T in terms of U.

• $T\ =\ 18U^2$
  

• $T\ =\frac{1}{U}$

• $T\ =\ 18U^{\frac{-1}{2}}$

• T = $\frac{1}{\sqrt{U}}$

Table shows the values of the variables j and k which satisfy the relation $j\ \propto\ \frac{1}{k}$  


Find the value of z.

• 2

• 3

• 4

• 5

Which of the following graphs represent $y\ \propto\ x\ ^2$  

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Table shows the values of the variables m and n. Given that m varies inversely as the square of n, find the value of x.

• 5

• 6

• 7

• 8

It is given that P varies inversely as q and cube root of r. When p = 1, q = 4 and r = 8, express p in terms of q and r.

• $p\ =\frac{8}{qr}$

• $p\ =\ \frac{8}{qr^{\frac{1}{3}}}$

• $p\ =8qr^{\frac{1}{3}}$

• $p\ =\ \frac{8}{qr^3}$

Table shows some values of the variables p and q. Express p in terms of q.

• $\ p\ =\ q^2$

• $p\ =\ \frac{1}{q^2}$

• $p\ =\ \frac{1}{\sqrt{q}}$

• $p\ =\ 3q$