Q.1. Which of the following statements are true?

i)

Hence True.

ii)

Hence True

iii)

Hence True

iv)

Hence True

Q.2. Check whether the following numbers are in proportion or not:

i)

We have:

Hence are not in proportion

ii)

We have

Therefore

Hence are in proportion.

iii)

We have

Therefore

Hence are in proportional

iv)

We have:

Therefore

Hence are in proportion

vi)

We have:

Therefore

Hence are not in proportion

Q.3. Find the value of *x* in each of the following:

i)

We have

ii)

We have

iii)

We have

iv)

We have

Q.4. Find the fourth proportional to:

i)

Let the fourth proportional term be

We have

ii)

Let the fourth proportional term be

iii)

Let the fourth proportional term be

Let the fourth proportional term be

Q.5. Find the third proportional to:

i)

Let the third proportional to

Then,

ii)

Let the third proportional to

Then

iii)

Let the third proportional to

Then

iv)

Let the third proportional to

Then

Q.6. Find the mean proportional between:

Mean proportional between

Mean proportional between

Mean proportional between

Mean proportional between

Mean proportional between

Q.7. If is the third proportional to , find the value of

Q.8. If are in continued proportion, find the value of

Q.9. A rod was cut into two pieces in the ratio . If the length of the smaller piece was , then find the length of the longer piece.

We have

Q.10. The areas of two rectangular fields are in the ratio . Find the area of the smaller field if that of the larger field is sq. meters.

We have

Q.11. What number must be subtracted from each of the numbers so that the differences are proportional?

Let the number to be subtracted

Therefore

solving for

Q.12. An alloy is to contain copper and zinc in the ratio . Find the quantity of zinc to be melted with of copper, to get the desired alloy.

Let the quantity of zinc be

We have