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Direct Proportion

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

A is directly proportional to B.

When A = 12, B = 3.

Find a formula for A in terms of B.

a)

B = 4A

b)


B = A4B\ =\ \frac{A}{4}

c)

A = 4B

d)

A = B4A\ =\ \frac{B}{4}

2.

A is directly proportional to B.

When A = 12, B = 3.

Find A when B = 5.



(a)  

3.

A is directly proportional to B.

When A = 12, B = 3.

Find B when A = 36.



(a)  

4.

C is directly proportional to D.

When C = 125, D = 5.

Find a formula for C in terms of D.

a)

C = 25D

b)


 C = D25C\ =\ \frac{D}{25} 

c)

D = 25C

d)

 D = C25D\ =\ \frac{C}{25} 

5.

C is directly proportional to D.

When C = 125, D = 5.

Find C when D = 10.



(a)  

6.

C is directly proportional to D.

When C = 125, D = 5.

Find D when C = 75.



(a)  

7.

E is directly proportional to F.

When E = 2, F = 8.

Find a formula for E in terms of F.

a)

E = 4F

b)

E=0.25F

c)

F=4E

d)

F=0.25E

8.

E is directly proportional to F.

When E = 2, F = 8.

Find E when F = 30.



(a)  

9.

E is directly proportional to F.

When E = 2, F = 8.

Find F when E = 100.



(a)  

10.

Y is directly proportional to X.

When X = 400, Y = 10.

Find a formula for Y in terms of X.

a)

Y = 40X

b)

Y=0.025X

c)

X=40Y

d)

X=0.025Y

11.

Y is directly proportional to X.

When X = 400, Y = 10.

Find Y when X = 450.



(a)  

12.

Y is directly proportional to X.

When X = 400, Y = 10.

Find X when Y = 200.



(a)  

13.

In a spring the tension (T newtons) is directly proportional to the extension of the spring (y cm)

When the tension is 180 newtons, the extension is 4 cm.

Find a formula for T in terms of y.

a)

y = 45T

b)

y=0.02T

c)

T=0.02y

d)

T = 45y

14.

In a spring the tension (T newtons) is directly proportional to the extension of the spring (y cm)

When the tension is 180 newtons, the extension is 4 cm.

Find the tension of the spring when it is extended to 3 cm.



(a)  

15.

In a spring the tension (T newtons) is directly proportional to the extension of the spring (y cm)

When the tension is 180 newtons, the extension is 4 cm.

Find by how much the spring is extended if the tension is 585 N.



(a)