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# Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 7 - Variation [Latest edition]

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## Chapter 7: Variation

Practice Set 7.1Practice Set 7.2Practice Set 7.3

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 7 Variation Exercise Practice Set 7.1 [Pages 36 - 37]

Practice Set 7.1 | Q 1.1 | Page 36

Write the following statement using the symbol of variation.

Circumference (c) of a circle is directly proportional to its radius (r).

Practice Set 7.1 | Q 1.2 | Page 36

Write the following statement using the symbol of variation.

Consumption of petrol (l) in a car and distance travelled by that car (d) are in direct variation.

Practice Set 7.1 | Q 2 | Page 36

Complete the following table considering that the cost of apples and their number are in direct variation.

 Number of apples (x) 1 4 ... 12 ... Cost of apples (y) 8 32 56 ... 160
Practice Set 7.1 | Q 3 | Page 36

If m ∝ n and when m = 154, n = 7. Find the value of m, when n = 14

Practice Set 7.1 | Q 4 | Page 36

If n varies directly as m, complete the following table.

 m 3 5 6.5 ... 1.25 n 12 20 ... 28 ...
Practice Set 7.1 | Q 5 | Page 36

y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation and equation of variation.

Practice Set 7.1 | Q 6 | Page 37

The total remuneration paid to labourers, employed to harvest soyabeen is in direct variation with the number of labourers. If remuneration of 4 labourers is ₹ 1000, find the remuneration of 17 labourers.

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 7 Variation Exercise Practice Set 7.2 [Pages 38 - 40]

Practice Set 7.2 | Q 1 | Page 38

The information about numbers of workers and number of days to complete a work is given in the following table. Complete the table.

 Number of workers 30 20 10 Days 6 9 12 36
Practice Set 7.2 | Q 2.1 | Page 38

Find constant of variation and write equation of variation for every example given below.

p ∝ $\frac{1}{q}$ ; if p = 15 then q = 4

Practice Set 7.2 | Q 2.2 | Page 38

Find constant of variation and write equation of variation for every example given below.

z ∝ $\frac{1}{w}$ ; when z = 2.5 then w = 24

Practice Set 7.2 | Q 2.3 | Page 38

Find constant of variation and write equation of variation for every example given below.

s ∝ $\frac{1}{t^2}$ ; if s = 4 then t = 5

Practice Set 7.2 | Q 2.4 | Page 38

Find constant of variation and write equation of variation for every example given below.

x ∝ $\frac{1}{\sqrt{y}}$ ; if x = 15 then y = 9

Practice Set 7.2 | Q 3 | Page 38

The boxes are to be filled with apples in a heap. If 24 apples are put in a box then 27 boxes are needed. If 36 apples are filled in a box how many boxes will be needed?

Practice Set 7.2 | Q 4.1 | Page 39

Write the following statement using symbol of variation .

The wavelength of sound (l) and its frequency (f) are in inverse variation.

Practice Set 7.2 | Q 4.2 | Page 40

Write the following statement using symbol of variation .

The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp.

Practice Set 7.2 | Q 5 | Page 39

x ∝ $\frac{1}{\sqrt{y}}$  and when x = 40 then y = 16. If x = 10, find y.

Practice Set 7.2 | Q 6 | Page 39

x varies inversely as y, when x = 15 then y = 10, if x = 20 then y = ?.

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 7 Variation Exercise Practice Set 7.3 [Page 40]

Practice Set 7.3 | Q 1.1 | Page 40

Which of the following statement is of inverse variation?

Number of workers on a job and time taken by them to complete the job.

Practice Set 7.3 | Q 1.2 | Page 40

Which of the following statement is of inverse variation?

Number of pipes of same size to fill a tank and the time taken by them to fill the tank.

Practice Set 7.3 | Q 1.3 | Page 40

Which of the following statement is of inverse variation?

Petrol filled in the tank of a vehical and its cost

Practice Set 7.3 | Q 1.4 | Page 40

Which of the following statement is of inverse variation?

Area of circle and its radius.

Practice Set 7.3 | Q 2 | Page 40

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours ?

Practice Set 7.3 | Q 3 | Page 40

120 bags of half litre milk can be filled by a machine within 3 minutes find the time to fill such 1800 bags ?

Practice Set 7.3 | Q 4 | Page 40

A car with speed 60 km/hr  takes 8 hours to travel some distance. What should be the increase in the speed if the same distance is to be covered in 7$\frac{1}{2}$ hours?

## Chapter 7: Variation

Practice Set 7.1Practice Set 7.2Practice Set 7.3

## Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 7 - Variation

Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 7 (Variation) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board Class 8 Mathematics chapter 7 Variation are Direct Variation, Inverse Variation, Time, Work, Speed.

Using Balbharati Class 8 solutions Variation exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board Class 8 prefer Balbharati Textbook Solutions to score more in exam.

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