This quiz works best with JavaScript enabled. Home > Class 8 > Class 8 Maths Chapter 14 Factorisation ā Quiz 3 š Homepage š Download PDF Books š Premium PDF Books Class 8 Maths Chapter 14 Factorisation Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factorise $a^2-4a$ A) $a-4$. B) 3a. C) $a\left(a-4\right)$. D) $ for^2 $. Show Answer Correct Answer: C) $a\left(a-4\right)$. 2. $x^2-x-12=\left(x+p\right)\left(x+q\right)$ $p$ $q?$ A) 3, 4. B) 3, -4. C) 2, 6. D) 2, -6. Show Answer Correct Answer: B) 3, -4. 3. Factorise:-16s$^{2}$-36t$^{2}$ A) (4s-6t)$^{2}$. B) 4(2s-3t)(2s + 3t). C) (4s + 6t)$^{2}$. D) 4(2s-3t)$^{2}$. Show Answer Correct Answer: B) 4(2s-3t)(2s + 3t). 4. 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. 5. Expand (4x-5)(4x + 5). A) 4x $^{2} $-25. B) Hh $^{2} $ + 25. C) 16x$^{2}$ + 25. D) 16x$^{2}$-25. Show Answer Correct Answer: D) 16x$^{2}$-25. 6. Factor:x$^{2 }$+ 7x-30 A) (x + 10)(x-7). B) (x-10)(x + 3). C) (x + 10)(x + 3). D) (x + 10)(x-3). Show Answer Correct Answer: D) (x + 10)(x-3). 7. $\left(m^2+3m-40\right)\div\left(m+8\right)=$ A) (m+8). B) (m-5). C) (m+5). D) (m-8). Show Answer Correct Answer: B) (m-5). 8. Factorise $10a-15b$ A) $10\left(a+b\right)$. B) $15\left(10a+b\right)$. C) $10\left(a+15b\right)$. D) $5\left(2a+3b\right)$. Show Answer Correct Answer: D) $5\left(2a+3b\right)$. 9. Factorise $14x+7$ A) $7\left(2x+1\right)$. B) $7\left(2x\right)$. C) $14\left(x+7\right)$. D) $14\left(x+2\right)$. Show Answer Correct Answer: A) $7\left(2x+1\right)$. 10. 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. 11. 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: A) (x-y)(a + b). 12. Find the value of:$\frac{38^2-22^2}{16}$ A) (38 x 22) / 16. B) 60. C) 19 x 11. D) 960/15. Show Answer Correct Answer: B) 60. 13. The factors of xyz are: A) X. B) Y. C) Z. D) All. Show Answer Correct Answer: D) All. 14. Expand (x +5)(x-5). A) X$^{2}$-5. B) X$^{2}$+5. C) X$^{2}$+25. D) X$^{2}$-25. Show Answer Correct Answer: D) X$^{2}$-25. 15. 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. 16. Factorise:2p$^{2}$-17p-30 A) (p-10)(2p + 3). B) (p-8)(2p-3). C) (p-10)(p + 3). D) (p-5)(2p-6). Show Answer Correct Answer: A) (p-10)(2p + 3). 17. 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). 18. 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). 19. The common factor 12y and 30 is A) 6. B) 6. C) 12. D) 12y. Show Answer Correct Answer: A) 6. 20. FACTORISE:3 (Y-2) $^{2} $-(Y-2)-44 A) (3y + 5) ( y-6). B) (3y + 6) ( y-5). C) (Y + 6) (Y-5). D) (3y-6) ( 3y + 6). Show Answer Correct Answer: A) (3y + 5) ( y-6). 21. Which of the following expressions is equivalent to x$^{2}$-4y$^{2}$? A) (x + 2)(x-2). B) (x-2y)$^{2}$. C) (x + 2y)(x-2y). D) (x + 2y)$^{2}$. Show Answer Correct Answer: C) (x + 2y)(x-2y). 22. Factor p$^{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). 23. Factorise Completely:(a-3b)$^{2}$-4(a-3b)-21 A) (a-7) (a-3). B) (A-Heb + H) (A-Heb-P). C) (A-Heb-H) (A-Heb + P). D) (a + 7) (b + 3). Show Answer Correct Answer: C) (A-Heb-H) (A-Heb + P). 24. 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). 25. Factorise:-25m$^{2}$-60mn + 36n$^{2}$ A) (5m-6n)(5m + 6n). B) (5m$^{2}$ + 6n$^{2}$). C) 5m$^{2}$-6n$^{2}$. D) (5m-6n)$^{2}$. 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