Class 8 Factorisation CBSE Questions & Answers

Class 8 · Factorisation

This is Mathematics Class 8 Factorisation CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Factorise: \({\text{1}}0{{\text{m}}^{\text{2}}}-{\text{ 15mn }} + {\text{ 4mn }}-{\text{ 6}}{{\text{n}}^{\text{2}}}\)
  • A
    (5m + 2n) (2m – 3n)
    Correct
  • B
    (2m – 3n)
  • C
    None of these
  • D
    (5m + 2n)
2
Factorise: \({\text{81}}{{\text{a}}^{\text{2}}} + {\text{ 18a }} + {\text{ 1}}\)
  • A
    \({\left( {{\text{9a }}-{\text{ 1}}} \right)^{\text{2}}}\)
  • B
    \({\left( {{\text{9a }} + {\text{ 1}}} \right)^{\text{2}}}\)
    Correct
  • C
    (9a + 1)
  • D
    None of these
3
Factorise: 64x2 + 112x + 49
  • A
    \({\left( {{\text{8x }} + {\text{ 7}}} \right)^{\text{2}}}\)
    Correct
  • B
    \({\left( {{\text{8x }}-{\text{ 7}}} \right)^{\text{2}}}\)
  • C
    (8x + 7)
  • D
    None of these
4
Factorise: \({\text{144}}{{\text{m}}^{\text{2}}} + {\text{ 24mn }} + {\text{ }}{{\text{n}}^{\text{2}}}\)
  • A
    \({\left( {{\text{12m }}-{\text{ n}}} \right)^{\text{2}}}\)
  • B
    \({\left( {{\text{12m }} + {\text{ n}}} \right)^{\text{2}}}\)
    Correct
  • C
    None of these
  • D
    (12m + n)
5
Factorise: \({\text{1 }} + {\text{ 34b }} + {\text{ 289}}{{\text{b}}^{\text{2}}}\)
  • A
    (1 + 17b)
  • B
    None of these
  • C
    \({\left( {{\text{1 }}-{\text{ 17b}}} \right)^{\text{2}}}\)
  • D
    \({\left( {{\text{1 }} + {\text{ 17b}}} \right)^{\text{2}}}\)
    Correct
6
Factorise: \({\text{121}}{{\text{a}}^{\text{2}}}-{\text{ 88a }} + {\text{ 16}}\)
  • A
    \({\left( {{\text{11a }}-{\text{ 4}}} \right)^{\text{2}}}\)
    Correct
  • B
    (11a + 4)
  • C
    (11a – 4)
  • D
    \({\left( {{\text{11a }} + {\text{ 4}}} \right)^{\text{2}}}\)
7
Factorise: \({\text{1}}00{\text{ }}-{\text{ 2}}0{\text{s }} + {\text{ }}{{\text{s}}^{\text{2}}}\)
  • A
    (10 – s)
  • B
    \({\left( {{\text{1}}0{\text{ }}-{\text{ s}}} \right)^{\text{2}}}\)
    Correct
  • C
    (10 + s)
  • D
    \({\left( {{\text{1}}0{\text{ }} + {\text{ s}}} \right)^{\text{2}}}\)
8
Factorise: \({{\text{p}}^{\text{3}}}{\text{q }}-{\text{ p}}{{\text{q}}^{\text{3}}}\)
  • A
    pq (p + q) (p – q)
    Correct
  • B
    (p + q) (p – q)
  • C
    pq (p – q)
  • D
    pq (p + q)
9
Factorise: \({\text{169}}{{\text{a}}^{\text{2}}}-{\text{ 144}}{{\text{b}}^{\text{2}}}\)
  • A
    None of these
  • B
    (13a – 12b)
  • C
    (13a + 12b)
  • D
    (13a + 12b) (13a – 12b)
    Correct
10
Factorise: \({\text{8}}{{\text{m}}^{\text{2}}}-{\text{ 18}}{{\text{n}}^{\text{2}}}\)
  • A
    2 (2m + 3n) (2m – 3n)
    Correct
  • B
    2 (2m – 3n)
  • C
    (2m + 3n) (2m – 3n)
  • D
    2 (2m + 3n)
11
Factorise: \({\text{64}}{{\text{a}}^{\text{2}}}{{\text{b}}^{\text{3}}}-{\text{ 16}}{{\text{a}}^{\text{3}}}{{\text{b}}^{\text{2}}}\)
  • A
    (4b – a)
  • B
    \({\text{16}}{{\text{a}}^{\text{2}}}{{\text{b}}^{\text{2}}}\)
  • C
    \({\text{16}}{{\text{a}}^{\text{2}}}{{\text{b}}^{\text{2}}}\) (4b + a)
  • D
    \({\text{16}}{{\text{a}}^{\text{2}}}{{\text{b}}^{\text{2}}}\) (4b – a)
    Correct
12
Factorise: \({\text{144}}{{\text{x}}^{\text{2}}}--{\text{ 1}}0{\text{8}}{{\text{y}}^{\text{2}}}-{\text{ 6}}0{{\text{z}}^{\text{2}}}\)
  • A
    \({\text{12 }}\left( {{\text{12}}{{\text{x}}^{\text{2}}}-{\text{ 9}}{{\text{y}}^{\text{2}}}-{\text{ 5}}{{\text{z}}^{\text{2}}}} \right)\)
    Correct
  • B
    None of these
  • C
    \({\text{12 }}\left( {{\text{12}}{{\text{x}}^{\text{2}}}-{\text{ 5}}{{\text{y}}^{\text{2}}}-{\text{ 9}}{{\text{z}}^{\text{2}}}} \right)\)
  • D
    \({\text{12 }}\left( {{\text{9}}{{\text{x}}^{\text{2}}}-{\text{ 12}}{{\text{y}}^{\text{2}}}-{\text{ 5}}{{\text{z}}^{\text{2}}}} \right)\)
13
Factorise: \({{\text{g}}^{\text{3}}}{{\text{h}}^{\text{2}}}-{\text{ }}{{\text{g}}^{\text{2}}}{\text{h }}-{\text{ g}}{{\text{h}}^{\text{2}}}-{\text{ }}{{\text{g}}^{\text{2}}}{{\text{h}}^{\text{2}}}-{\text{ gh}}\)
  • A
    \(\left( {{{\text{g}}^{\text{2}}}{\text{h }}-{\text{ g }}-{\text{ h }}-{\text{ gh }}-{\text{ 1}}} \right)\)
  • B
    None of these
  • C
    \({\text{gh }}\left( {{{\text{g}}^{\text{2}}}{\text{h }}-{\text{ g }}-{\text{ h }}-{\text{ gh }}-{\text{ 1}}} \right)\)
    Correct
  • D
    \({\text{gh }}\left( {{{\text{g}}^{\text{2}}}{\text{h }}-{\text{ g }}-{\text{ h }}-{\text{ gh }} + {\text{ 1}}} \right)\)
14
Factorise: \({{\text{a}}^{\text{2}}}-{\text{ 1}}0000{{\text{b}}^{\text{4}}}\)
  • A
    \(\left( {{\text{a }}-{\text{ 1}}00{{\text{b}}^{\text{2}}}} \right){\text{ }}\left( {{\text{a }} + {\text{ 1}}00{{\text{b}}^{\text{2}}}} \right)\)
    Correct
  • B
    None of these
  • C
    \(\left( {{\text{a }} + {\text{ 1}}00{{\text{b}}^{\text{2}}}} \right)\)
  • D
    \(\left( {{\text{a }}-{\text{ 1}}00{{\text{b}}^{\text{2}}}} \right)\)
15
Factoris: \({\text{125}}{{\text{x}}^{\text{3}}}{{\text{y}}^{\text{5}}}{{\text{z}}^{\text{4}}}-{\text{ 5x}}{{\text{y}}^{\text{3}}}{{\text{z}}^{\text{6}}}\)
  • A
    \({\text{5x}}{{\text{y}}^{\text{3}}}{{\text{z}}^{\text{4}}}\left( {{\text{5xy }}-{\text{ z}}} \right)\)
  • B
    \({\text{5x}}{{\text{y}}^{\text{3}}}{{\text{z}}^{\text{4}}}\left( {{\text{5xy }}-{\text{ z}}} \right){\text{ }}\left( {{\text{5xy }} + {\text{ z}}} \right)\)
    Correct
  • C
    (5xy – z) (5xy + z)
  • D
    \({\text{5x}}{{\text{y}}^{\text{3}}}{{\text{z}}^{\text{4}}}\left( {{\text{5xy }} + {\text{ z}}} \right)\)