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ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

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The circumference of a circle exceeds its diameter by 18 cm. find the radius of the circle.

[4.07] Mensuration
Chapter: [4.07] Mensuration
Concept: undefined >> undefined

A circular racing track has inner circumference 528 m and outer circumference 616 m. Find the width of the track.

[4.07] Mensuration
Chapter: [4.07] Mensuration
Concept: undefined >> undefined

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The inner circumference of a circular track is 264 m and the width of the track is 7 m. Find:
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.

[4.07] Mensuration
Chapter: [4.07] Mensuration
Concept: undefined >> undefined

Evaluate: (c + 5)(c - 3)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (3c - 5d)(4c - 6d)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (a2 + 2ab + b2)(a + b)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (3x - 1)(4x3 - 2x2 + 6x - 3) 

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (4m - 2)(m2 + 5m - 6) 

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (8 - 12x + 7x2 - 6x3)(5 - 2x)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (4x2 - 4x + 1)(2x3 - 3x2 + 2) 

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (6p2 - 8pq + 2q2) (- 5p)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: - 4y (15 + 12y - 8z) (x - 2y)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c) 

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Evaluate:

(i) (a + b)(a - b)

(ii) (a2 + b2)(a + b)(a - b); using the result of (i).

(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Multiply: (2x + 3y)(2x + 3y)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Multiply: (2x - 3y)(2x + 3y)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Multiply: (2x + 3y)(2x - 3y)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Multiply: (2x - 3y)(2x - 3y)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined

Multiply: (-2x + 3y)(2x - 3y)

[3.01] Fundamental Concepts (Including Fundamental Operations)
Chapter: [3.01] Fundamental Concepts (Including Fundamental Operations)
Concept: undefined >> undefined
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