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ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

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Mathematics
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Simplify: 

`a(a + 1/a) - b(b - 1/b) - c(c + 1/c)`

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

Simplify: 5 x (2x + 3y) – 2x (x – 9y)

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

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Simplify: a + (b + c – d)

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

Simplify: 5 − 8x − 6 − x

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

Use the adjacent figure, to find angle x and its supplement.

[4.01] Lines and Angles (Including Construction of Angles)
Chapter: [4.01] Lines and Angles (Including Construction of Angles)
Concept: undefined >> undefined

Simplify: `2"a" +(6 - bar("a" - "b"))`

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

Simplify: 3x + [4x – (6x – 3)]

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

Find k of the given figure.

[4.01] Lines and Angles (Including Construction of Angles)
Chapter: [4.01] Lines and Angles (Including Construction of Angles)
Concept: undefined >> undefined

Simplify: 5b – {6a + (8 – b – a)}

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

Simplify: 2x-[5y- (3x -y) + x]

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

Simplify: 6a – 3 (a + b – 2)

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

Simplify: 8 [m + 2n-p – 7 (2m -n + 3p)]

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

Simplify: {9 – (4p – 6q)} – {3q – (5p – 10)}

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

Simplify: 2 [a – 3 {a + 5 {a – 2) + 7}]

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

Simplify: 5a – [6a – {9a – (10a – `bar("4a" - "3a"))}]`

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

Simplify: 9x + 5 – [4x – {3x – 2 (4x – 3)}]

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

Simplify: (x + y – z)x + (z + x – y)y – (x + y – z)z

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

Simplify: -1[a - 3{b - 4(a - b - 8) + 4a} + 10]

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

In the given figure, find ∠AOB and ∠BOC.

[4.01] Lines and Angles (Including Construction of Angles)
Chapter: [4.01] Lines and Angles (Including Construction of Angles)
Concept: undefined >> undefined

Simplify: `"p"^2 - ["x"^2 - {"x"^2 - ("q"^2 - bar("x"^2 - "q"^2)) - "2y"^2}]`

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