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
Divide \({\text{63}}{a^{\text{2}}}{b^{\text{4}}}{c^{\text{6}}}{\text{by 7}}{a^{\text{2}}}{b^{\text{2}}}{c^{\text{3}}}.\)
  • A
    \({\text{9}}{{\text{b}}^{\text{2}}}{{\text{c}}^{\text{3}}}\)
    Correct
  • B
    \({\text{9}}{{\text{b}}^{\text{2}}}{\text{c}}\)
  • C
    \({\text{9}}{{\text{c}}^{\text{3}}}\)
  • D
    \({\text{9}}{{\text{b}}^{\text{2}}}\)
2
Find the common factors of \({\text{2}}x,{\text{ 3}}{x^{\text{2}}}\)and 4.
  • A
    3
  • B
    1
    Correct
  • C
    2
  • D
    4
3
In factorisation by regrouping, we should remember that any regrouping (i.e., rearrangement) of the terms in the given expression may not lead to ________.
  • A
    factorisation
    Correct
  • B
    product
  • C
    division
  • D
    None of these
4
Factorise: \({p^{\text{2}}} + {\text{ 6}}p + {\text{ 8}}\)
  • A
    (p + 4)
  • B
    None of these
  • C
    (p + 2) (p + 4)
    Correct
  • D
    (p + 2)
5
Factorise: \({q^{\text{2}}}--{\text{ 1}}0q + {\text{ 21}}\)
  • A
    (q – 3) (q – 7)
    Correct
  • B
    (q – 7)
  • C
    None of these
  • D
    (q – 3)
6
Divide: (10x – 25) \( \div \) 5
  • A
    2x
  • B
    None of these
  • C
    5
  • D
    2x – 5
    Correct
7
Divide: (10x – 25) \( \div \) (2x – 5)
  • A
    None of these
  • B
    5
    Correct
  • C
    7
  • D
    6
8
Divide as directed: \(\left( {{m^{\text{2}}}-{\text{ 14}}m-{\text{ 32}}} \right){\text{ }} \div {\text{ }}\left( {m + {\text{ 2}}} \right)\)
  • A
    4
  • B
    16
  • C
    m – 16
    Correct
  • D
    m – 4
9
Divide as directed: \(\left( {{\text{5}}{p^{\text{2}}}-{\text{ 25}}p + {\text{ 2}}0} \right){\text{ }} \div {\text{ }}\left( {p-{\text{ 1}}} \right)\)
  • A
    5 (p – 4)
    Correct
  • B
    5
  • C
    None of these
  • D
    (p – 4)
10
Find and correct the errors in the following mathematical statements. \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 4 }}\left( {{\text{2}}x} \right){\text{ }} + {\text{ 7 }} = {\text{ 2}}{x^{\text{2}}} + {\text{ 8}}x + {\text{ 7}}\)
  • A
    None of these
  • B
    \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 4}}\left( {{\text{2}}x} \right){\text{ }} + {\text{ 7 }} = {\text{ 4}}{x^{\text{2}}} + {\text{ 5}}x + {\text{ 7}}\)
  • C
    \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 4}}\left( {{\text{2}}x} \right){\text{ }} + {\text{ 7 }} = {\text{ 4}}{x^{\text{2}}} + {\text{ 8}}x + {\text{ 9}}\)
  • D
    \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 4}}\left( {{\text{2}}x} \right){\text{ }} + {\text{ 7 }} = {\text{ 4}}{x^{\text{2}}} + {\text{ 8}}x + {\text{ 7}}\)
    Correct
11
Find and correct the errors in the following mathematical statements. \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 5}}x = {\text{ 4}}x + {\text{ 5}}x = {\text{ 9}}x\)
  • A
    None of these
  • B
    \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 5}}x = {\text{ 4}}{x^{\text{2}}} + {\text{ 7}}x\)
  • C
    \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 5}}x = {\text{ 3}}{x^{\text{2}}} + {\text{ 5}}x\)
  • D
    \({\left( {{\text{2}}x} \right)^{\text{2}}} + {\text{ 5}}x = {\text{ 4}}{x^{\text{2}}} + {\text{ 5}}x\)
    Correct
12
Factorise: 14pq + 35pqr
  • A
    (2 + 5r)
  • B
    7pq (2 + 5r)
    Correct
  • C
    7pq (3 – 5r)
  • D
    7pq
13
Factorise: 15pq + 15 + 9q + 25p
  • A
    (5p + 3)
  • B
    (5p – 3) (3q – 5)
  • C
    (3q + 5)
  • D
    (5p + 3) (3q + 5)
    Correct
14
Factorise: \({a^2} + {\text{ }}8a{\text{ }} + {\text{ }}16\)
  • A
    \({\left( {a + {\text{ 4}}} \right)^{\text{2}}}\)
    Correct
  • B
    \({\left( {a--{\text{ 3}}} \right)^{\text{2}}}\)
  • C
    \({\left( {a-{\text{ 4}}} \right)^{\text{2}}}\)
  • D
    \({\left( {a + {\text{ 5}}} \right)^{\text{2}}}\)
15
Solve: –\({\text{36}}{y^{\text{3}}} \div {\text{ 9}}{y^{\text{2}}}\)
  • A
    -4y
    Correct
  • B
    (-)y
  • C
    -4
  • D
    4y