This quiz works best with JavaScript enabled. Home > Cbse > Class 8 > Mathematics > Factorisation > Class 8 Maths Chapter 14 Factorisation – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 8 Maths Chapter 14 Factorisation Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The factorization of (x$^{3}$-25 x) is ..... A) X (x-5)$^{2}$. B) X (x + 5)$^{2}$. C) X (x + 5) (x-5). D) None of these. Show Answer Correct Answer: C) X (x + 5) (x-5). 2. Choose the correct answer:The factors of a$^{4}$-b$^{4}$ is ..... A) (a$^{2}$ + b$^{2}$) (a + b) (a-b). B) (a$^{2}$ + b$^{2}$) (a$^{2}$ + b$^{2}$). C) (a$^{2}$-b$^{2}$) (a$^{2}$-b$^{2}$). D) None of these. Show Answer Correct Answer: A) (a$^{2}$ + b$^{2}$) (a + b) (a-b). 3. The common factor 12y and 30 is A) 12. B) 6. C) 12y. D) 6. Show Answer Correct Answer: B) 6. 4. FACTORISE:3 (Y-2) $^{2} $-(Y-2)-44 A) (3y + 6) ( y-5). B) (3y-6) ( 3y + 6). C) (3y + 5) ( y-6). D) (Y + 6) (Y-5). Show Answer Correct Answer: C) (3y + 5) ( y-6). 5. Which of the following expressions is equivalent to x$^{2}$-4y$^{2}$? A) (x + 2)(x-2). B) (x-2y)$^{2}$. C) (x + 2y)(x-2y). D) (x + 2y)$^{2}$. Show Answer Correct Answer: C) (x + 2y)(x-2y). 6. Factor p$^{3 }$$^{}$-3p$^{}$$^{2}$-16p + 48 A) P$^{2}$ ( p-3) (p-3). B) (p$^{2}$-16) (p-3). C) (p + 4) (p-4) (p-3). D) None of the above. Show Answer Correct Answer: C) (p + 4) (p-4) (p-3). 7. Factorise Completely:(a-3b)$^{2}$-4(a-3b)-21 A) (a + 7) (b + 3). B) (A-Heb + H) (A-Heb-P). C) (a-7) (a-3). D) (A-Heb-H) (A-Heb + P). Show Answer Correct Answer: D) (A-Heb-H) (A-Heb + P). 8. Factorise(a+3)(a+1)-4(a+1) A) (a+1)(a+3-4). B) (a+1)(a-1). C) (a-1)(a-1). D) None of the above. Show Answer Correct Answer: B) (a+1)(a-1). 9. Factorise:-25m$^{2}$-60mn + 36n$^{2}$ A) (5m-6n)(5m + 6n). B) (5m$^{2}$ + 6n$^{2}$). C) (5m-6n)$^{2}$. D) 5m$^{2}$-6n$^{2}$. Show Answer Correct Answer: C) (5m-6n)$^{2}$. 10. Write the factors of $n^2+16n+63$ A) $\left(n-7\right)\left(n+4\right)$. B) $\left(9n+7\right)\left(n-9\right)$. C) $\left(n-3\right)\left(n-10\right)$. D) $\left(n+7\right)\left(n+9\right)$. Show Answer Correct Answer: D) $\left(n+7\right)\left(n+9\right)$. 11. The factors of m$^{2}$-256 are: A) (m + 4)$^{2}$. B) (m-4) (m+4). C) (m-4)$^{2}$. D) None of these. Show Answer Correct Answer: B) (m-4) (m+4). 12. The common factor of a$^{3}$b$^{3}$ and ab$^{2}$ is: A) A$^{2}$b$^{2}$. B) A$^{2}$b. C) Ab. D) Ab$^{2}$. Show Answer Correct Answer: D) Ab$^{2}$. 13. Factorise 4x + 16. A) 4(x-4). B) Hh + h. C) X + 4. D) 4(x + 4). Show Answer Correct Answer: D) 4(x + 4). 14. Factorise $8b^2+6b$ A) $b\left(8b+6\right)$. B) $2b\left(4b+3\right)$. C) $14b^3$. D) $2b^2\left(4b+3\right)$. Show Answer Correct Answer: B) $2b\left(4b+3\right)$. 15. Factorise:$x^2+3x-130$ A) $\left(x+13\right)\left(x-10\right)$. B) $\left(x+18\right)\left(x-15\right)$. C) $\left(x-13\right)\left(x+10\right)$. D) $\left(x-18\right)\left(x+15\right)$. Show Answer Correct Answer: A) $\left(x+13\right)\left(x-10\right)$. 16. Identify the common factors of13m$^{2}$y$^{5}$-39my$^{3}$-26y$^{2}$ A) 13my$^{2}$. B) 13y$^{2}$. C) 13m$^{2}$y$^{5}$. D) None of the above. Show Answer Correct Answer: B) 13y$^{2}$. 17. Factorise:-16m$^{4}$-24m$^{2}$n$^{2}$ + 9n$^{4}$ A) (4M-3N) (4 m +). B) (4M-3N) $^{a} $. C) (Umm-on) (M + on) (4 m +). D) (4 m $^{a} $ on $^{a} $) $^{a} $. Show Answer Correct Answer: D) (4 m $^{a} $ on $^{a} $) $^{a} $. 18. Factorise:49a$^{2}$-100b$^{2}$ A) (H + 20b) (7A-20B). B) (8a + 10b) ( 8a-10b). C) (7A-10B). D) (H + 10b) (7A-10B). Show Answer Correct Answer: D) (H + 10b) (7A-10B). 19. The common factor of 10ab, 30bc, 50ca is A) 10. B) Abc. C) 30. D) 50. Show Answer Correct Answer: A) 10. 20. Factorx$^{2 }$+ 9x-36 A) (x-9)(x-4). B) (x + 9)(x-4). C) (x-12)(x + 3). D) (x + 12)(x-3). Show Answer Correct Answer: D) (x + 12)(x-3). 21. Factorise:16y$^{3}$-4y A) 4y(4y + 1)(4y-1). B) 4y(2y + 1)(2y-1). C) 4y(2y$^{2}$-1). D) (I.e. + 1) (i.e.-1). Show Answer Correct Answer: B) 4y(2y + 1)(2y-1). 22. (x + a ) ( x-b) = ..... A) X$^{2}$ + ( a +b ) x + ab. B) X$^{2}$-( a+b )x-ab. C) X$^{2}$ + (a-b) x-ab. D) None of the above. Show Answer Correct Answer: C) X$^{2}$ + (a-b) x-ab. 23. Factorise:$x^2-8x-33$ A) $\left(x+3\right)\left(x-11\right)$. B) $\left(x+33\right)\left(x-1\right)$. C) $\left(x-33\right)\left(x+1\right)$. D) $\left(x-3\right)\left(x+11\right)$. Show Answer Correct Answer: A) $\left(x+3\right)\left(x-11\right)$. 24. The factors of 9x-18x$^{2}$ are ..... A) Sex (1-X). B) 9(x-2x). C) 9x(1-3x). D) 9. Show Answer Correct Answer: A) Sex (1-X). 25. Factor:x$^{2}$ + 2x-3 A) (x + 2)(x-1). B) (x + 1)(x-3). C) (x-2)(x + 1). D) (x-1)(x + 3). Show Answer Correct Answer: D) (x-1)(x + 3). 26. Factorise:t$^{2}$ + 22t + 85 A) ( t + 5) (t + 17). B) ( t-11) (t + 2). C) ( t + 5) (t + 17). D) ( t + 11) (t-2). Show Answer Correct Answer: A) ( t + 5) (t + 17). 27. 36h$^{2}$-16k$^{2}$ A) (6x + Cheka) (6x-Cheka). B) (36h + 16k)(36h-16k). C) 4 (Uh + Aqa) (Aa-Aqa). D) H (yach + hk) (YAH-CC). Show Answer Correct Answer: C) 4 (Uh + Aqa) (Aa-Aqa). 28. Factorise $14c-21$ A) $14\left(c-3\right)$. B) $7\left(2c-21\right)$. C) $7\left(2c-3\right)$. D) $14\left(c-21\right)$. Show Answer Correct Answer: C) $7\left(2c-3\right)$. 29. Factorise:-m$^{2}$-mn(1-n)-n$^{3}$ A) (m-n)(m + n$^{2}$). B) (m + n)(m + n$^{2}$). C) (m-n)(m-n$^{2}$). D) (m + n)(m-n$^{2}$). Show Answer Correct Answer: A) (m-n)(m + n$^{2}$). 30. Factorise sr + r$^{2}$ A) R (s + 1). B) R (s + r). C) S (r + 1). D) S (s + r). Show Answer Correct Answer: B) R (s + r). 31. Factorise:-3m$^{2}$-21m-234 A) (Uncle-17) (M-4). B) (3(m-6)(m-13). C) 3(m + 6)(m-13). D) (Uncle +17) (M-4). Show Answer Correct Answer: C) 3(m + 6)(m-13). 32. Factorise $5-15a$ A) $15\left(5-a\right)$. B) $5\left(1-3a\right)$. C) $5\left(-3a\right)$. D) $15\left(5-3a\right)$. Show Answer Correct Answer: B) $5\left(1-3a\right)$. 33. M$^{2}$+2mx+x$^{2}$ A) (m+x). B) (m+x)$^{2}$. C) All the above. D) None of the above. Show Answer Correct Answer: B) (m+x)$^{2}$. 34. Factorise:4(a + b)-6(a + b)$^{2}$ A) A (a + b) (2-A + Heb). B) (Cha + BB) (Sha-Shb). C) (A + b) (2-A-Heb). D) A (a + b) (2-A-Heb). Show Answer Correct Answer: D) A (a + b) (2-A-Heb). 35. Factor the polynomial:5x$^{2}$-13x + 6 A) (x + 2) (5x + 3). B) (x-3) (5x + 2). C) (x-2) (5x-3). D) (x + 3) (5x-2). Show Answer Correct Answer: C) (x-2) (5x-3). 36. Use your knowledge about algebra and identities to determine whether the following statement is correct.5 x + 4y = 9xy A) CORRECT. B) NOT CORRECT. C) All the above. D) None of the above. Show Answer Correct Answer: B) NOT CORRECT. 37. Expand and simplify $5x-2\left(x+y\right)$ A) $ Dax $. B) $ Reverse+any $. C) $ Dax+any $. D) $ Reverse $. Show Answer Correct Answer: D) $ Reverse $. 38. Simplify the expression:5a + 2b-3a + 4 A) Any + father + 4. B) 4Ab + 4. C) 8AB. D) 8a + 2b + 4. Show Answer Correct Answer: A) Any + father + 4. 39. Factorise $64-9k^2$ A) $\left(8+3k\right)\left(8-3k\right)$. B) $\left(8+9k\right)\left(8-9k\right)$. C) $\left(8+3k\right)\left(8+3k\right)$. D) $\left(8-9k\right)\left(8-9k\right)$. Show Answer Correct Answer: A) $\left(8+3k\right)\left(8-3k\right)$. 40. Factorise:m$^{2}$-3m-40 A) (m + 8) ( m-5). B) (m + 6) ( m-8). C) (m-8) ( m + 5). D) (m-30) ( m-4). Show Answer Correct Answer: C) (m-8) ( m + 5). 41. What are methods for factorisation? A) Common factor. B) Using identities. C) Regrouping. D) All of these. Show Answer Correct Answer: D) All of these. 42. Expand ( x + 2)$^{2}$. A) X$^{2}$ + 2x +2. B) X$^{2}$ + 4x +2. C) X$^{2 }$+ 2$^{2}$. D) X$^{2}$ + 4x +4. Show Answer Correct Answer: D) X$^{2}$ + 4x +4. 43. The common factors of 10a, 20b and 30c are: A) Qc. B) Ab. C) 10. D) 10abc. Show Answer Correct Answer: C) 10. 44. -11xy can be factorised as ..... A) 11(x-xy). B) 2( 11x-11xy). C) 11x ( 2-y). D) None of the above. Show Answer Correct Answer: C) 11x ( 2-y). 45. Kalia buys 5 items that cost d dollars each. She gives the cashier $ 60. Which expression represents the change she should receive? A) 5d-60. B) 60 + 5d. C) 60-5d. D) 60-d. Show Answer Correct Answer: C) 60-5d. 46. Factorise:21w$^{2}$z-77wx A) Ho (3WZ-11x). B) Xw (21wz-11x). C) 21(w$^{2}$x-77x). D) 3w (7wz + 11x). Show Answer Correct Answer: A) Ho (3WZ-11x). 47. How many methods do we have to factorise thr given algebraic expression? A) 4. B) 1. C) 3. D) 2. Show Answer Correct Answer: A) 4. 48. Smallest common factor of any number is A) 0. B) 2. C) 1. D) None of these. Show Answer Correct Answer: C) 1. 49. Factorise:9bx$^{2}$ + 15b$^{2}$x A) 3bx(3x + 5b). B) 3b(3x-5bx). C) Bx(3x + 5b). D) 3b$^{2}$x$^{2}$(3+ 15b). Show Answer Correct Answer: A) 3bx(3x + 5b). 50. The factors of 49p$^{2}$-36 are: A) (Love+i) $^{a} $. B) (Raoa) $^{a} $. C) None of these. D) (Love-i) (Love + i). Show Answer Correct Answer: D) (Love-i) (Love + i). 51. Factorise $x^2-x$ A) $x\left(x\right)$. B) $x\left(x-1\right)$. C) $x\left(x-x\right)$. D) $x^2\left(-x\right)$. Show Answer Correct Answer: B) $x\left(x-1\right)$. 52. Expand (x-8) ( x-8) A) X$^{2}$-64. B) X$^{2}$$_{ }$-16x + 64. C) X$^{2}$ + 64. D) X$^{2}$ + 16x + 64. Show Answer Correct Answer: B) X$^{2}$$_{ }$-16x + 64. 53. FACTORISEx$^{2}$-11x+30 A) IMPOSSIBLE. B) (x-6)(x-5). C) (x-6)(x+5). D) (x-6)(x+5). Show Answer Correct Answer: B) (x-6)(x-5). 54. Factorized form of p$^{2}$-17p-38 is: A) (p + 19) (p + 2). B) (p-19) (p-2). C) (p-19) (p + 2). D) (p + 19) (p-2). Show Answer Correct Answer: C) (p-19) (p + 2). 55. Factorise:-6m$^{2}$ + m-2 A) (Mother + 1) (Uncle + A). B) (M. 1) (Uncle + a). C) (M. 1) (Uncle-a). D) (Umm + 1) (Uncle-a). Show Answer Correct Answer: B) (M. 1) (Uncle + a). 56. 3x(x-7) + 2(7-x) A) (7-x)(3x-2). B) (7-x)(3x + 2). C) (3x-2)(x-7). D) (3x + 2)(x-7). Show Answer Correct Answer: C) (3x-2)(x-7). 57. The factorisation of ab-a-b + 1 is A) ( a-1)(b-1). B) (a-1)(b + 1). C) (a + 1)(b + 1). D) (a + 1)(b-1). Show Answer Correct Answer: A) ( a-1)(b-1). 58. $factorise\\\\\\x^2+8x+16$ A) $\left(x+2\right)^2$. B) $\left(x+4\right)^2$. C) $\left(x+4\right)^3$. D) $\left(x+3\right)^3$. Show Answer Correct Answer: B) $\left(x+4\right)^2$. 59. Factorise $21x-14$ A) $7\left(3x-14\right)$. B) $14\left(21x\right)$. C) $7\left(3x-2\right)$. D) $14\left(21x-1\right)$. Show Answer Correct Answer: C) $7\left(3x-2\right)$. 60. The factorisation of 12a$^{2}$b+15ab$^{2}$ gives: A) Heb (4 A+Khab). B) ZB (Cha + 5b). C) 3a(4a+5b). D) Heb (4 August+Kh). Show Answer Correct Answer: A) Heb (4 A+Khab). ← PreviousNext →Related QuizzesMathematics QuizzesClass 8 QuizzesClass 8 Maths Chapter 14 Factorisation Quiz 1Class 8 Maths Chapter 14 Factorisation Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books