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Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

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If 25 metres of cloth costs Rs 337.50, then what will be the length of the cloth bought for Rs 810?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

A swimming pool can be filled in 4 hours by 8 pumps of the same type. How many such pumps are required if the pool is to be filled in `2 2/3` hours?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

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The cost of 27 kg of iron is Rs 1,080, what will be the cost of 120 kg of iron of the same quality?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Mixture A Mixture B

If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Mixture C Mixture D

If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Mixture E Mixture F

If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Mixture G Mixture H

If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Work with a partner to write at least five ratio statements about this quilt, which has white, blue, and purple squares.


How many squares of each colour will be there in 12 such quilts?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

30 persons can reap a field in 17 days. How many more persons should be engaged to reap the same field in 10 days?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Shabnam takes 20 minutes to reach her school if she goes at a speed of 6 km/h. If she wants to reach school in 24 minutes, what should be her speed?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Match each of the entries in Column I with the appropriate entry in Column II

Column I Column II
1. x and y vary inversely to each other A. `x/y` = Constant
2. Mathematical representation of
inverse variation of quantities p and q
B. y will increase in proportion
3. Mathematical representation of
direct variation of quantities m and n
C. xy = Constant
4. When x = 5, y = 2.5 and when y = 5, x = 10 D. `p  oo  1/q`
5. When x = 10, y = 5 and when x = 20, y = 2.5 E. y will decrease in proportion
6. x and y vary directly with each other F. x and y are directly proportional
7. If x and y vary inversely then on decreasing x G. `m  oo  n`
8. If x and y vary directly then on decreasing x H. x and y vary inversely
  I. `p  oo  q`
  J. `m  oo  1/n`
[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

There are 20 grams of protein in 75 grams of sauted fish. How many grams of protein is in 225 gm of that fish?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Ms. Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 10 km?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.

  Distance (m) Time (sec.)
Elevator- A 435 29
Elevator- B 448 28
Elevator- C 130 10
Elevator- D 85 5

How much distance will be travelled by elevators B and C separately in 140 sec? Who travelled more and by how much?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and blue dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.

[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined
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