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Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions for Mathematics

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Mathematics
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A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a distance of 20 metres to reach the batsman?

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

Here is a key board of a harmonium:

  1. Find the ratio of white keys to black keys on the keyboard.
  2. What is the ratio of black keys to all keys on the given keyboard.
  3. This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns.
[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

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Here is a keyboard of a harmonium: What is the ratio of black keys to all keys on the given keyboard.

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

Here is a keyboard of a harmonium: This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns.

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

The following table shows the distance travelled by one of the new eco-friendly energy-efficient cars travelled on gas.

Litres of gas 1 0.5 2 2.5 3 5
Distance (km) 15 7.5 30 37.5 45 75

Which type of properties are indicated by the table? How much distance will be covered by the car in 8 litres of gas?

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

Kritika is following this recipe for bread. She realises her sister used most of sugar syrup for her breakfast. Kritika has only `1/6` cup of syrup, so she decides to make a small size of bread. How much of each ingredient shall she use?

Bread recipe

1 cup quick cooking oats

2 cups bread flour

`1/3` cup sugar syrup

1 tablespoon cooking oil

`1 1/3` cups water

3 tablespoons yeast

1 teaspoon salt.

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

Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?

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

Kusum always forgets how to convert miles to kilometres and back again. However she remembers that her car’s speedometer shows both miles and kilometres. She knows that travelling 50 miles per hour is same as travelling 80 kilometres per hour. To cover a distance of 200 km, how many miles Kusum would have to go?

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

The students of Anju’s class sold posters to raise money. Anju wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. She knew they could raise Rs 250 for every 60 posters sold.

  1. How much money would Anju’s class make for selling 102 posters?
  2. Could Anju’s class raise exactly Rs 2,000? If so, how many posters would they need to sell? If not, why?
[11] Direct and Inverse Proportions
Chapter: [11] Direct and Inverse Proportions
Concept: undefined >> undefined

The students of Anju’s class sold posters to raise money. Anju wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. Could Anju’s class raise exactly Rs 2,000? If so, how many posters would they need to sell? If not, why?

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

The area of a parallelogram is 60 cm2 and one of its altitudes is 5 cm. The length of its corresponding side is ______.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

The perimeter of a rectangle becomes ______ times its original perimeter, if its length and breadth are doubled.

[9] Mensuration
Chapter: [9] Mensuration
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Mukesh walks around a circular track of radius 14 m with a speed of 4 km/hr. If he takes 20 rounds of the track, for how long does he walk?

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

Find the perimeter of the given figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined

Find the area of the shaded portion in the following figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined

Find the area of the shaded portion in the following figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined

Find the area of the shaded portion in the following figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined

Find the area of the shaded portion in the following figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined

Find the area of the shaded portion in the following figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined

Find the area of the shaded portion in the following figure.

[10] Visualizing Solid Shapes
Chapter: [10] Visualizing Solid Shapes
Concept: undefined >> undefined
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