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ICSE ICSE Class 8 - CISCE Question Bank Solutions

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Multiply: `2/3"ab"` by `-1/4 "a"^2"b"`

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7.
Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other
(i) Is PS also parallel to QR?
(ii) Assign a special name to quadrilateral PQRS.

[4.1] Understanding Shapes
Chapter: [4.1] Understanding Shapes
Concept: undefined >> undefined

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Use the information given in the following figure to find the value of x.

[4.1] Understanding Shapes
Chapter: [4.1] Understanding Shapes
Concept: undefined >> undefined

Multiply: −5cd2 by − 5cd2

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

[4.1] Understanding Shapes
Chapter: [4.1] Understanding Shapes
Concept: undefined >> undefined

Use the following figure to find the value of x

[4.1] Understanding Shapes
Chapter: [4.1] Understanding Shapes
Concept: undefined >> undefined

Multiply: 4a and 6a + 7

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

ABCDE is a regular pentagon. The bisector of angle A of the pentagon meets the side CD in point M. Show that ∠AMC = 90°.

[4.1] Understanding Shapes
Chapter: [4.1] Understanding Shapes
Concept: undefined >> undefined

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that:

∠AOB = (∠C + ∠D)

[4.1] Understanding Shapes
Chapter: [4.1] Understanding Shapes
Concept: undefined >> undefined

Multiply: −8x and 4 − 2x − x2

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: 2a2 − 5a − 4 and −3a

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: x + 4 by x − 5

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: 5a − 1 by 7a − 3

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: 12a + 5b by 7a − b

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: x2+ x + 1 by 1 − x

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: 2m2 − 3m − 1 and 4m2 − m − 1

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: a2, ab and b2

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: abx, −3a2x and 7b2x3

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: −3bx, −5xy and −7b3y2

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined

Multiply: `-3/2"x"^5"y"^3` and `4/9"a"^2"x"3"y"`

[3.1] Algebraic Expressions
Chapter: [3.1] Algebraic Expressions
Concept: undefined >> undefined
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