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Balbharati solutions for Class 8 Mathematics chapter 7 - Variation

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Balbharati Balbharati Class 8 Mathematics

Balbharati Class 8 Mathematics - Shaalaa.com

Chapter 7: Variation

Practice Set 7.1Practice Set 7.2Practice Set 7.3

Chapter 7: Variation Exercise Practice Set 7.1 solutions [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.

Chapter 7: Variation Exercise Practice Set 7.2 solutions [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 = ?.

Chapter 7: Variation Exercise Practice Set 7.3 solutions [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 Balbharati Class 8 Mathematics

Balbharati Class 8 Mathematics - Shaalaa.com

Balbharati solutions for Class 8 Mathematics chapter 7 - Variation

Balbharati solutions for Class 8 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 Balbharati Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in 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.

Get the free view of chapter 7 Variation Class 8 extra questions for and can use Shaalaa.com to keep it handy for your exam preparation

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