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(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

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A quadrilateral field of unequal has a longer diagonal with 140m. The perpendiculars from opposite vertives upon this diagonal are 20m and 14m. Find the area of the field.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

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Find the area of a quadrilateral field whose sides are 12m, 9m, 18m and 21m respectively and the angle between the first two sides is a right angle. Take the value of `sqrt(6)` as 2.5.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

Find the diagonal of a quadrilateral whose area is 756cm2 and the perpendicular from the opposite vertices are 17cm and 19cm.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

State whether true or false:

√2 + √3 = √5

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

State, in each case, whether true or false : 
2√4 + 2 = 6

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

3√7 - 2√7 = √7 

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

State, in each case, whether true or false : 
`2/7` ia an irrational number.

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

State, in each case, whether true or false :
`5/11` is a rational number.

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

State, in each case, whether true or false : 
All rational numbers are real numbers.

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

State, in each case, whether true or false : 
All real numbers are rational numbers.

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

State, in each case, whether true or false : 
Some real numbers are rational numbers.

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`

From the given set, find: set of irrational numbers

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`

From the given set, find: set of integers

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`
From the given set, find : set of non-negative integers

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Write a pair of irrational numbers whose sum is rational.

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Write in ascending order: 3√5 and 4√3

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Write in ascending order :  `2 root(3)(5)  and 3 root(3)(2)`

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Write in ascending order :  6√5, 7√3 and 8√2

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined

Write in ascending order : 6√5, 7√3, and 8√2

[1] Rational and Irrational Numbers
Chapter: [1] Rational and Irrational Numbers
Concept: undefined >> undefined
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