# Question Bank Solutions for CBSE Class 9 - CBSE - Mathematics

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Is zero a rational number? Can you write it in the form p/q, where p and q are integersand q ≠ 0?

[1.01] Number Systems
Chapter: [1.01] Number Systems
Concept: Introduction of Real Number

Find six rational numbers between 3 and 4.

[1.01] Number Systems
Chapter: [1.01] Number Systems
Concept: Introduction of Real Number

Find five rational numbers between 3/5 and 4/5.

[1.01] Number Systems
Chapter: [1.01] Number Systems
Concept: Introduction of Real Number

State whether the following statement is true or false. Give reasons for your answers.

Every natural number is a whole number.

[1.01] Number Systems
Chapter: [1.01] Number Systems
Concept: Introduction of Real Number

Use suitable identities to find the following products :- (x + 4) (x + 10)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Use suitable identities to find the following products :- (x + 8) (x – 10)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Use suitable identities to find the following products :- (3x + 4) (3x – 5)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Use suitable identities to find the following products :-

(y^2+3/2)(y^2-3/2)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Use suitable identities to find the following products :- (3 – 2x) (3 + 2x)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Evaluate the following product without multiplying directly:- 103 × 107

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Evaluate the following product without multiplying directly:- 95 × 96

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Evaluate the following product without multiplying directly:- 104 × 96

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Factorise the following using appropriate identities:- 9x2 + 6xy + y2

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Factorise the following using appropriate identities:- 4y2 – 4y + 1

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Factorise the following using appropriate identities:- x^2 - y^2/100

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Expand following, using suitable identities :- (x + 2y + 4z)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Expand following, using suitable identities :- (2x – y + z)2

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Expand following, using suitable identities :- (–2x + 3y + 2z)2

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Expand following, using suitable identities :- (3a – 7b – c)2

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities

Expand following, using suitable identities :- (–2x + 5y – 3z)2

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: Algebraic Identities
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