Vidaara.orgClass 9 · Mathematics
CodeVID-M9-18-CT
Factorisation — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
The first step in factorisation is to take out the:
- A.largest term
- B.common factor (HCF)
- C.constant
- D.square
2.
$a^2-b^2=$
- A.$(a+b)(a-b)$
- B.$(a-b)^2$
- C.$(a+b)^2$
- D.$a^2+b^2$
3.
$a^3+b^3=$
- A.$(a+b)(a^2-ab+b^2)$
- B.$(a+b)(a^2+ab+b^2)$
- C.$(a-b)(a^2+ab+b^2)$
- D.$(a+b)^3$
4.
$6x+9=$
- A.$3(2x+3)$
- B.$3(2x+9)$
- C.$6(x+3)$
- D.$3(x+3)$
5.
$x^2+5x+6=$
- A.$(x+2)(x+3)$
- B.$(x+1)(x+6)$
- C.$(x-2)(x-3)$
- D.$(x+5)(x+1)$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Factorise $4x+8$.
7.
Factorise $x^2-16$.
8.
Factorise $x^3+1$.
9.
Factorise $5x^2-10x$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Factorise $x^2+xy+x+y$.
11.
Factorise $x^2+x-12$.
12.
Factorise $8x^3+27$.
13.
Factorise $6xy+4y+9x+6$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Factorise completely: $12a^2b-18ab^2+24ab$.
15.
Factorise $6x^2+11x-10$.
Answer Key
Section A — Multiple Choice Questions
- (B) common factor (HCF)
- (A) $(a+b)(a-b)$
- (A) $(a+b)(a^2-ab+b^2)$
- (A) $3(2x+3)$
- (A) $(x+2)(x+3)$
Section B — Short Answer (2 marks)
- $4(x+2)$.
- $(x+4)(x-4)$.
- $(x+1)(x^2-x+1)$.
- $5x(x-2)$.
Section C — Short Answer (3 marks)
- $(x+1)(x+y)$.
- $(x+4)(x-3)$.
- $(2x+3)(4x^2-6x+9)$.
- $(3x+2)(2y+3)$.
Section D — Long Answer (5 marks)
- $6ab(2a-3b+4)$.
- $(3x-2)(2x+5)$.
Generated by Vidaara.org · Assignment VID-M9-18-CT · vidaara.org