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
Find the common factors of 6abc, \({\text{24}}a{b^{\text{2}}}\) and 12 \({a^{\text{2}}}b\).
- Ab
- B6abCorrect
- Ca
- D6
2
In expressions which have factors of the type (x + a) (x + b), remember the numerical term gives _______.
- AabCorrect
- Ba
- C\(\frac{1}{2}\)ab
- Db
3
Factorise: \({q^{\text{2}}}\)– 10q + 21
- A(q – 3)
- BNone of these
- C(q – 7)
- D(q – 3) (q – 7)Correct
4
Factorise: \({p^{\text{2}}}\)+ 6p – 16
- A(p + 8) (p – 2)Correct
- BNone of these
- C(p + 8)
- D(p – 2)
5
Divide: 10y (6y + 21) \( \div \) 5 (2y + 7)
- Ay
- B6yCorrect
- C8y
- D6
6
Divide: \({\text{9}}{x^{\text{2}}}{y^{\text{2}}}\left( {{\text{3}}z-{\text{ 24}}} \right){\text{ }} \div {\text{ 27}}xy\left( {z-{\text{ 8}}} \right)\)
- Ax
- B\(\frac{1}{2}\) xy
- CxyCorrect
- Dy
7
Divide as directed: \({\text{4}}yz\left( {{z^{\text{2}}} + {\text{ 6}}z-{\text{ 16}}} \right){\text{ }} \div {\text{ 2}}y\left( {z + {\text{ 8}}} \right)\)
- A2z
- B2z (z – 2)Correct
- C(z – 2)
- DNone of these
8
Divide as directed: \({\text{5}}pq\left( {{p^{\text{2}}}-{q^{\text{2}}}} \right){\text{ }} \div {\text{ 2}}p\left( {p + q} \right)\)
- A\(\frac{7}{2}q(p - q)\)
- B\(\frac{3}{2}q(p - q)\)
- CNone of these
- D\(\frac{5}{2}q(p - q)\)Correct
9
Find and correct the errors in the following mathematical statements. Substituting \(x = {\text{ }}-{\text{ 3 in}}{x^{\text{2}}} + {\text{ 5}}x + {\text{ 4}}\) gives \({\left( {-{\text{ 3}}} \right)^{\text{2}}}\)+ 5 (– 3) + 4 = 9 + 2 + 4 = 15
- A\({\left( {-{\text{3}}} \right)^{\text{2}}}\)+ 5 (–3) + 4 = 9 – 15 + 4 = –3
- B\({\left( {-{\text{3}}} \right)^{\text{2}}}\)+ 5 (–3) + 4 = 9 – 15 + 4 = –2Correct
- C\({\left( {-{\text{3}}} \right)^{\text{2}}}\) + 5 (–3) + 4 = 9 – 15 + 4 = –5
- DNone of these
10
Find and correct the errors in the following mathematical statements. Substituting \(x = {\text{ }}-{\text{ 3 in}}{x^{\text{2}}}-{\text{ 5}}x + {\text{ 4}}\)gives\({\left( {-{\text{ 3}}} \right)^{\text{2}}}\)– 5 ( – 3) + 4 = 9 – 15 + 4 = – 2
- A\({\left( {-{\text{3}}} \right)^{\text{2}}}\)– 5(–3) + 4 = 9 + 15 + 4 = 25
- B\({\left( {-{\text{3}}} \right)^{\text{2}}}\)– 5(–3) + 4 = 9 + 15 + 4 = 28Correct
- C\({\left( {-{\text{3}}} \right)^{\text{2}}}\)– 5(–3) + 4 = 9 + 15 + 4 = 23
- D\({\left( {-{\text{3}}} \right)^{\text{2}}}\) – 5(–3) + 4 = 9 + 15 + 4 = 20
11
Find the common factors of the given terms: 36xy, 12y
- A12
- B12yCorrect
- Cy
- DNone of these
12
Find the common factors of the given terms: \({\text{1}}0{{\text{x}}^{\text{2}}},{\text{ }}--{\text{ 18}}{{\text{x}}^{\text{3}}},{\text{ 14}}{{\text{x}}^{\text{4}}}\)
- A\({\text{2}}{{\text{x}}^{\text{2}}}\)Correct
- BNone of these
- C2x
- D\({{\text{x}}^{\text{2}}}\)
13
Find the common factors of the given terms: \({\text{12}}{{\text{a}}^{\text{2}}}{\text{b}},{\text{ 15a}}{{\text{b}}^{\text{2}}}\)
- A3abCorrect
- BNone of these
- Cab
- D3
14
Factorise: \({\text{9}}{{\text{x}}^{\text{2}}} + {\text{ 25}}{{\text{y}}^{\text{2}}} + {\text{ 3}}0{\text{xy}}\)
- A\(\left( {{\text{3x }} + {\text{ 5y}}} \right)\)
- B\({\left( {{\text{3x }} + {\text{ 7y}}} \right)^{\text{2}}}\)
- C\({\left( {{\text{3x }} + {\text{ 5y}}} \right)^{\text{2}}}\)Correct
- D\({\left( {{\text{3x }} - {\text{ 5y}}} \right)^{\text{2}}}\)
15
Factorise: \({\text{36}}{{\text{y}}^{\text{2}}}-{\text{ 36y }} + {\text{ 9}}\)
- A9
- BNone of these
- C\({\text{9 }}{\left( {{\text{2y }}-{\text{ 1}}} \right)^{\text{2}}}\)Correct
- D\({\left( {{\text{2y }}-{\text{ 1}}} \right)^{\text{2}}}\)