1)

a) *a* = 2*b*^{2}

b) 18

c) 128

d) 6

e) 10

2)

a) *c* = 6*d*^{2}

b) 600

c) 7

d) 1.5

e) 14

3)

a) 3

b) 5

c) 4374

d) 6

4)

a)

b) 49

c) 2

d) 110.25

5)

a)

c) 2

d) 110.25

5)

a)

b) 1296

c) 256

d) 6

e) 8

6)

a) 5

b) 15.625

c) 1

7)

a)

c) 256

d) 6

e) 8

6)

a) 5

b) 15.625

c) 1

7)

a)

b) 50

c) 49

d) 144

8)

a) 13.5

b) 9

c) 12

d) 36

c) 49

d) 144

8)

a) 13.5

b) 9

c) 12

d) 36

**Working**

**Questions**

You may use a calculator for the following questions.

1)

*a*is directly proportional to the square of

*b*. When

*a*is 50,

*b*is 5.

*a*and

*b*are always positive.

a) Form an equation for

*a*in terms of

*b*.

b) Find the value of

*a*when

*b*is 3.

c) Find the value of

*a*when

*b*is 8.

d) Find the value of

*b*when

*a*is 72.

e) Find the value of

*b*when

*a*is 200.

2)

When

a) Form an equation for

b) Find the value of

c) Find the value of

d) Find the value of

e) Find the value of

3)

a) Find the value of

b) Find the value of

c) Find the value of

d) Find the value of

4)

*c*is 54,*d*is 3.*c*and*d*are always positive.a) Form an equation for

*c*in terms of*d*.b) Find the value of

*c*when*d*is 10.c) Find the value of

*d*when*c*is 294.d) Find the value of

*c*when*d*is ½.e) Find the value of

*d*when*c*is 1176.3)

*e*is directly proportional to the cube of*f*. When*e*is 48,*f*is 2.a) Find the value of

*f*when*e*is 162.b) Find the value of

*f*when*e*is 750.c) Find the value of

*e*when*f*is 9.d) Find the value of

*e*when*f*is 1.4)

When

a) Form an equation for

b) Find the value of

c) Find the value of

d) Find the value of

5)

a) Form an equation for

b) Find the value of

c) Find the value of

d) Find the value of

e) Find the value of

6)

a) Find the value of

b) Find the value of

c) Find the value of

7)

a) Form an equation for

b) Find the value of

c) Find the value of

d) Find the value of

8)

a) Find the value of

b) Find the value of

c) Find the value of

d) Find the value of

*g*is 196,*h*is 3.*g*and*h*are always positive.a) Form an equation for

*g*in terms of*h*.b) Find the value of

*g*when*h*is 6.c) Find the value of

*h*when*g*is 441d) Find the value of

*g*when*h*is 4.5)

*i*is inversely proportional to the square of*j*. When*i*is 81,*j*is 16.*i*and*j*are always positive.a) Form an equation for

*i*in terms of*j*.b) Find the value of

*i*when*j*is 4.c) Find the value of

*i*when*j*is 9.d) Find the value of

*j*when*i*is 576.e) Find the value of

*j*when*i*is 324.6)

*m*is inversely proportional to the cube of*n*. When*m*is 125,*n*is 2.a) Find the value of

*n*when*m*is 8.b) Find the value of

*m*when*n*is 4.c) Find the value of

*m*when*n*is 10.7)

*p*is directly proportional to the square root of*q*. When*p*is 10,*q*is 4.a) Form an equation for

*p*in terms of*q*.b) Find the value of

*p*when*q*is 100?c) Find the value of

*q*when*p*is 35?d) Find the value of

*q*when*p*is 60?8)

*y*is inversely proportional to the square root of*x*. When*y*is 27,*x*is 16.a) Find the value of

*y*when*x*is 64.b) Find the value of

*x*when*y*is 36.c) Find the value of

*y*when*x*is 81.d) Find the value of

*x*when*y*is 18.