This quiz works best with JavaScript enabled. Home > Cbse > Class 8 > Mathematics > Factorisation > Class 8 Maths Chapter 14 Factorisation – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 8 Maths Chapter 14 Factorisation Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factor:a$^{2}$-196 A) (a-14)$^{2}$. B) (a + 13)(a-13). C) (a-13)$^{2}$. D) (a + 14)(a-14). Show Answer Correct Answer: D) (a + 14)(a-14). 2. Fill in the blank:4(3x + ..... ) = 12x + 16 A) 12. B) 4. C) 16. D) Hh. Show Answer Correct Answer: B) 4. 3. Choose the correct answer:a$^{2}$ + bc + ab + ac = ..... A) A (a + b + c). B) (a + b) (a + c). C) (a + c) (b + c). D) (a + b) (b + c). Show Answer Correct Answer: B) (a + b) (a + c). 4. On factorising 14pq + 35pqr, we get: A) P(14q+35qr). B) Darf (a+out). C) Q(14p+35pr). D) Pq(14+35r). Show Answer Correct Answer: B) Darf (a+out). 5. Factor:2n$^{2}$-8n$^{3}$ A) That $^{a} $ (N-4 n $^{a} $). B) On (1-4 $^\circ$ C). C) That $^{a} $ (1-4 $^{} $ N $^{a} $). D) That $^{p} $ (10-8in $^{a} $). Show Answer Correct Answer: C) That $^{a} $ (1-4 $^{} $ N $^{a} $). 6. Factorise:x$^{2}$ + 18x + 81 A) (x + 3) (x + 6). B) (x + 9)$^{2}$. C) (x-9)$^{2}$. D) (x + 9) ( x-9). Show Answer Correct Answer: B) (x + 9)$^{2}$. 7. Factorise $1-c^2$ A) $\left(1+c\right)\left(1-c\right)$. B) $\left(1-c\right)\left(1-c\right)$. C) $-c^2$. D) $c$. Show Answer Correct Answer: A) $\left(1+c\right)\left(1-c\right)$. 8. $\left(x+a\right)\left(x+b\right)=x^2+a+b\times x+ab$ A) True. B) False. C) Cannot be determined. D) None of the above. Show Answer Correct Answer: B) False. 9. The factorisation of 4x + 16 is ..... A) Hh + h. B) 4(x + 4). C) X + 4. D) 4(x-4). Show Answer Correct Answer: B) 4(x + 4). 10. The greatest common factor of 5a and 15b is ..... A) 15. B) 4. C) 3. D) 5. Show Answer Correct Answer: D) 5. 11. Factorise:14(a-3b)$^{3}$-21p(a-3b) A) 2(x + 2y)(3x + 6y + 4). B) 2(x + 2y)(3x + 6y + 8). C) A (X + i) (opposite + folding + 4). D) 2 (x + y) (x + 6y + 4). Show Answer Correct Answer: A) 2(x + 2y)(3x + 6y + 4). 12. Factorise $5nx-n$ A) $n\left(5x\right)$. B) $n\left(5x-0\right)$. C) $ n (5x+1) $. D) $ n (5x-1) $. Show Answer Correct Answer: D) $ n (5x-1) $. 13. Expand (2x + 3)$^{2}$. A) 2x$^{2}$ +12x + 9. B) 2x$^{2}$ +12x + 6. C) 4x$^{2}$ +12x + 6. D) 4x$^{2}$ +12x + 9. Show Answer Correct Answer: D) 4x$^{2}$ +12x + 9. 14. The factorisation of 12x+36 is A) 12 (ZKS+1). B) 12 (ZKS). C) X(12+36x). D) 12(x+3). Show Answer Correct Answer: D) 12(x+3). 15. Factorise $12xy^2-8y$ A) $ 4xy $. B) $ 4xy^2 $. C) $4y\left(3xy-2\right)$. D) $4x\left(3y^2-2\right)$. Show Answer Correct Answer: C) $4y\left(3xy-2\right)$. 16. The factorisation of 6xy-4y + 6-9x is A) (Reverse + a) (i.e.-p). B) (Reverse + A) (i.e. + P). C) (Reverse-a) (i.e.-p). D) (Reverse-a) (i.e. + P). Show Answer Correct Answer: C) (Reverse-a) (i.e.-p). 17. Factor:p$^{2}$-14p A) P(1-14). B) P(p-14). C) 2p(p-7). D) P$^{2}$(1-14). Show Answer Correct Answer: B) P(p-14). 18. The factorisation of (lm + l) + m + 1 is A) (l-1)(m + 1). B) (l + 1)(m-1). C) (l + 1)(m + 1). D) (l-1)(m-1). Show Answer Correct Answer: C) (l + 1)(m + 1). 19. Factorise $x^2-4x$ A) $x\left(x-4\right)$. B) $4\left(x^2-x\right)$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x\left(x-4\right)$. 20. Factorise:-k(n-3) + l(3-n)-m(n-3) A) (k-l-m)(n + 3). B) (k-l-m)(n-3). C) (k-l + m)(n-3). D) (n-3)(k + l-m). Show Answer Correct Answer: B) (k-l-m)(n-3). 21. Factorise:9-30z + 25z$^{2}$ A) (3-5z) (3 + 6z). B) (3-5z) (3 + 5z). C) (3-5z) $ ^ {2} $. D) (3 + 5z) $ ^ {2} $. Show Answer Correct Answer: C) (3-5z) $ ^ {2} $. 22. The factorisation of 8x + 4y is: A) 4(2x+4y). B) 8 (x+y). C) 4(2x+y). D) 8(x+4y). Show Answer Correct Answer: C) 4(2x+y). 23. Which of the following is the value of:(a + b)$^{2}$-(a-b)$^{2}$ is: A) -4ab. B) Any $^{a} $ + $^{a} $. C) Any $^{a} $-$^{a} $. D) 4Ab. Show Answer Correct Answer: D) 4Ab. 24. 16x$^{2}$-8x + 1 A) (4x + 1)(4x + 1). B) Hh $^{2} $-1. C) (4x-1)(4x-1). D) (4x-1)(4x + 1). Show Answer Correct Answer: C) (4x-1)(4x-1). 25. Factorise:3z$^{2}$-4z-4 A) (G-a) (Ezz + a). B) (z-4) (z + 4). C) (G + a) (Ezz-a). D) (z-2) (z + 2). Show Answer Correct Answer: A) (G-a) (Ezz + a). 26. Factor:x$^{2}$-121 A) (x + 4)(x + 5). B) $\left(x-11\right)^2$. C) (x-11)(x + 11). D) (x + 20)(x + 1). Show Answer Correct Answer: C) (x-11)(x + 11). 27. Factorise $3x-12$ A) $3\left(x-4\right)$. B) $3\left(x-12\right)$. C) $3\left(3x-12\right)$. D) $3\left(3x-4\right)$. Show Answer Correct Answer: A) $3\left(x-4\right)$. 28. Factorise:-1-8m$^{2}$ + 16m$^{4}$ A) (1-4m $^{2} $) (1 + 4m $^{2} $). B) (1 + M) (1-M) (1 + 4 m $^{a} $). C) (1-M) $^{a} $ (1 + m) $^{a} $. D) (1-4m) (1 + 4m). Show Answer Correct Answer: C) (1-M) $^{a} $ (1 + m) $^{a} $. 29. Factorise:-2m$^{2}$ + 8m-42 A) (Umm-h) (Umm + p). B) 2(m-7)(m + 3). C) 2(m + 7)(m-3). D) (Umm + h) (Umm-p). Show Answer Correct Answer: C) 2(m + 7)(m-3). 30. Factorise $2d-9de$ A) $d\left(2-9e\right)$. B) 7e. C) 7e. D) $2d\left(1-9e\right)$. Show Answer Correct Answer: A) $d\left(2-9e\right)$. 31. Expand $7\left(a+2b\right)$ A) $ +14 b $. B) $ H+Ab $. C) $a+2b$. D) $a+14b$. Show Answer Correct Answer: A) $ +14 b $. 32. Factorise:-12x$^{3}$-75xy$^{2}$ A) 3x(4x-5y)$^{2}$. B) 3(4x$^{3}$-15xy$^{2}$). C) Reverse (X + KH) (X-Kha). D) The opposite (X-Kha) $^{a} $. Show Answer Correct Answer: C) Reverse (X + KH) (X-Kha). 33. The factorisation of 6x-42 is A) 2(x-7). B) 6(x + 7). C) 6(x-7). D) 3(x-7). Show Answer Correct Answer: C) 6(x-7). 34. Factorise:4x$^{2}$-10xy-6xz +15yz A) (X-Kha) (X-Ezz). B) (X-KH) (4 x-2Z). C) (Reverse-Khay) (Tex-Ezz). D) (I.e.-Khus) (X-Ezz). Show Answer Correct Answer: A) (X-Kha) (X-Ezz). 35. Fatsiters $^{2} $-hv-will A) 3 (B-7) (B-1). B) (ZV+1) (V-I). C) (ZV-Nat) (in+1). D) (ZV+1) (B-10). Show Answer Correct Answer: C) (ZV-Nat) (in+1). 36. Identify whether the given mathematical statement is correct or not5 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 $7-\left(a-2\right)$ A) $5-a$. B) $5+a$. C) $9+a$. D) $9-a$. Show Answer Correct Answer: D) $9-a$. 38. $am^2+bm^2+bn^2+an^2$ A) $\left(m^2+n^2\right)\left(a+c\right)$. B) $\left(m^2+n^2\right)\left(a+b\right)$. C) $\left(m^2-n^2\right)\left(a+b\right)$. D) $\left(m^2+n^2\right)\left(a-b\right)$. Show Answer Correct Answer: B) $\left(m^2+n^2\right)\left(a+b\right)$. 39. Factorise:-(m + n)$^{2}$ + (m-n)$^{2}$ A) 4nn. B) 2(m$^{2}$ + n$^{2}$). C) 2m$^{2}$ + n$^{2}$. D) 2(m + n)(m-n). Show Answer Correct Answer: B) 2(m$^{2}$ + n$^{2}$). 40. Divide:15(y + 3) (y$^{2}$-16) by 5(y$^{2}$-y-12). Which of the following is not the answer of above problem? A) 3(y+2). B) 3(y+4). C) 4y + 12. D) 6y + 24. Show Answer Correct Answer: A) 3(y+2). 41. Factorise:$x^2-x-12$ A) $\left(x-4\right)\left(x-3\right)$. B) $\left(x-3\right)\left(x+4\right)$. C) $\left(x-4\right)\left(x+3\right)$. D) $\left(x+3\right)\left(x+4\right)$. Show Answer Correct Answer: C) $\left(x-4\right)\left(x+3\right)$. 42. X$^{2}$-2xy +y$^{2 }$ = ..... A) (x-y) $^{2} $. B) X-y $^{2} $. C) (x + y) $^{2} $. D) X $^{2} $ + y $^{2} $. Show Answer Correct Answer: A) (x-y) $^{2} $. 43. Factorise $x^2+3x$ A) $3\left(x^2+x\right)$. B) $x\left(x^2+3\right)$. C) $x\left(x+3x\right)$. D) $x\left(x+3\right)$. Show Answer Correct Answer: D) $x\left(x+3\right)$. 44. Factor by groupingx$^{3}$-4x$^{2}$-4x + 16 A) (x+4)(x$^{2}$-4). B) (x+4)(x+2). C) (x-4)(x$^{2}$-4). D) (x-4)(x-2). Show Answer Correct Answer: C) (x-4)(x$^{2}$-4). 45. Choose the correct answer:The factorisation of 25x$^{2}$y-5xy is A) 5xy (5x + 1). B) 5xy (5x-1). C) 5xy (5x + 5). D) 5xy (x-y). Show Answer Correct Answer: B) 5xy (5x-1). 46. Factorise $a^2-4a$ A) $a-4$. B) $ for^2 $. C) $a\left(a-4\right)$. D) 3a. Show Answer Correct Answer: C) $a\left(a-4\right)$. 47. $x^2-x-12=\left(x+p\right)\left(x+q\right)$ $p$ $q?$ A) 3, 4. B) 2, -6. C) 2, 6. D) 3, -4. Show Answer Correct Answer: D) 3, -4. 48. Factorise:-16s$^{2}$-36t$^{2}$ A) (4s + 6t)$^{2}$. B) (4s-6t)$^{2}$. C) 4(2s-3t)(2s + 3t). D) 4(2s-3t)$^{2}$. Show Answer Correct Answer: C) 4(2s-3t)(2s + 3t). 49. When we factorise an expression, we write it as a ..... of factors. A) Product. B) Difference. C) Sum. D) None. Show Answer Correct Answer: A) Product. 50. Factor:x$^{2 }$+ 7x-30 A) (x-10)(x + 3). B) (x + 10)(x-3). C) (x + 10)(x-7). D) (x + 10)(x + 3). Show Answer Correct Answer: B) (x + 10)(x-3). 51. $\left(m^2+3m-40\right)\div\left(m+8\right)=$ A) (m+5). B) (m+8). C) (m-8). D) (m-5). Show Answer Correct Answer: D) (m-5). 52. Factorise $10a-15b$ A) $5\left(2a+3b\right)$. B) $10\left(a+15b\right)$. C) $10\left(a+b\right)$. D) $15\left(10a+b\right)$. Show Answer Correct Answer: A) $5\left(2a+3b\right)$. 53. Factorise $14x+7$ A) $7\left(2x\right)$. B) $14\left(x+2\right)$. C) $7\left(2x+1\right)$. D) $14\left(x+7\right)$. Show Answer Correct Answer: C) $7\left(2x+1\right)$. 54. Identify whether the given mathematical statement is correct or not(a + 4) (a + 2) = a$^{2}$ + 8 A) CORRECT. B) NOT CORRECT. C) All the above. D) None of the above. Show Answer Correct Answer: B) NOT CORRECT. 55. The factorisation of ax + bx-ay-by is A) (x + y)(a-b). B) (x + y)(a + b). C) (x-y)(a-b). D) (x-y)(a + b). Show Answer Correct Answer: D) (x-y)(a + b). 56. Find the value of:$\frac{38^2-22^2}{16}$ A) 60. B) 19 x 11. C) 960/15. D) (38 x 22) / 16. Show Answer Correct Answer: A) 60. 57. The factors of xyz are: A) X. B) Y. C) Z. D) All. Show Answer Correct Answer: D) All. 58. Expand (x +5)(x-5). A) X$^{2}$-25. B) X$^{2}$-5. C) X$^{2}$+25. D) X$^{2}$+5. Show Answer Correct Answer: A) X$^{2}$-25. 59. Factorisation of 343 is ..... A) 7 x 4 x 3. B) 3 x 4 x 3. C) 7 x 7 x 7. D) None of the above. Show Answer Correct Answer: C) 7 x 7 x 7. 60. Factorise:2p$^{2}$-17p-30 A) (p-8)(2p-3). B) (p-5)(2p-6). C) (p-10)(2p + 3). D) (p-10)(p + 3). Show Answer Correct Answer: C) (p-10)(2p + 3). Next →Related QuizzesMathematics QuizzesClass 8 QuizzesClass 8 Maths Chapter 14 Factorisation Quiz 2Class 8 Maths Chapter 14 Factorisation Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books