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F5C1 Variation

Total questions: 5

Worksheet time: 13mins

Name
Class
Date
1.

P varies directly as X and inversely as W. Show the relation in the form of equation.

a)

P = kXWP\ =\ \frac{kX}{W}

b)

P = Xk WP\ =\ \frac{X}{k\ W}

2.

 P = kXWP\ =\ \frac{kX}{W}  
Find the value of k if P = 0.9, X = 18 and W = 5.

a)

0.05

b)

0.15

c)

0.25

d)

0.35

3.

 P = 0.25 XWP\ =\ \frac{0.25\ X}{W}  
Find the value of W when P = 20 and X =6

a)

0.065

b)

0.075

c)

0.085

d)

0.095

4.

A varies directly as b and the square of c, and inversely as the square root of d. Show this relation in the form of variation.

a)

 A  bcdA\ \propto\ \frac{bc}{d}  

b)

 A  bc2dA\ \propto\ \frac{b^{ }c^2}{d}  

c)

 A kbc2dA\ \propto\frac{kbc^2}{\sqrt{d}}  

d)

 A  bc2dA\ \propto\ \frac{bc^2}{\sqrt{d}}  

5.

Given that p varies inversely as q. If p = 2 when q = 7, calculate the value of q when p = 8.75.

a)

1.2

b)

1.4

c)

1.6

d)

1.8