This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The word "arrange" usually refers to A) Permutation. B) Combination. C) Probability. D) Counting. Show Answer Correct Answer: A) Permutation. 2. Multiply:$\left(x+3\right)^3$ A) $x^3+9x^2+27x+27$. B) $x^3+27$. C) $9x^4+x^3+27x^2+27$. D) None of these. Show Answer Correct Answer: A) $x^3+9x^2+27x+27$. 3. Multiply.(x + 2)(x + 3) A) X$^{2}$ + 5x + 6. B) X$^{2}$ + x + 6. C) X$^{2}$ + 5x + 5. D) X$^{2}$ + 6x + 6. Show Answer Correct Answer: A) X$^{2}$ + 5x + 6. 4. $Evaluate:\\\sum_{a=2}^6\left(a^2+a\right)$ A) 70. B) 110. C) 90. D) None of the above. Show Answer Correct Answer: B) 110. 5. How many terms would be in the expansion of (x+4)$^{5}$? A) 4. B) 5. C) 6. D) 7. Show Answer Correct Answer: C) 6. 6. Level 2 Question 1164-27a$^{3}$ A) (4-3a)(9a$^{2}$+12a+16). B) (3a-4)(3a$^{2}$+12a+16). C) (4-3a)(3a$^{2}$+12a+16). D) (4-3a)$^{3}$. Show Answer Correct Answer: A) (4-3a)(9a$^{2}$+12a+16). 7. If you expand (x + 1)$^{6}$ using the binomial theorem, which describes BEST what you do? A) You multiply (x + 1) by itself 6 times. B) You use patterns with exponents and pascal's triangle row 6 to find the answer. C) You use the numbers from row 6 of Pascal's triangle to write 7 terms. D) You distribute the exponent of 6. Show Answer Correct Answer: B) You use patterns with exponents and pascal's triangle row 6 to find the answer. 8. What is the fifth term in the expansion of (b+3a$^{4}$)$^{5}$ A) 270a$^{12}$b$^{2}$. B) 405a$^{16}$b. C) 15a$^{4}$b$^{4}$. D) 81a$^{16}$b. Show Answer Correct Answer: B) 405a$^{16}$b. 9. Which term is the middle term in the expansion of $(a + b)^8$ A) 4th term. B) 5th term. C) 6th term. D) 8th term. Show Answer Correct Answer: B) 5th term. 10. Expand the expression using the Binomial Theorem. $\left(2x+5\right)^4$ A) 2x$^{4}$ + 40x$^{3 }$+ 300x$^{2}$ + 1000x +625. B) 16x$^{4 }$+ 160x$^{3}$ +600x$^{2}$ +1000x + 625. C) 16x$^{4}$ + 1000x$^{3}$ + 600x$^{2 }$+ 160x +625. D) None of the above. Show Answer Correct Answer: B) 16x$^{4 }$+ 160x$^{3}$ +600x$^{2}$ +1000x + 625. 11. Divide $\frac{2x^2-5x + 3}{x-2}$ $q(x) + \frac{r(x)}{x-2}$ A) $2x-1 + \frac{1}{x-2}$. B) $2x-1 + \frac{5}{x-2}$. C) $2x + 1 + \frac{1}{x-2}$. D) $2x-5 + \frac{3}{x-2}$. Show Answer Correct Answer: A) $2x-1 + \frac{1}{x-2}$. 12. Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4? A) 32, 756. B) 42, 560. C) 28, 765. D) 65, 535. Show Answer Correct Answer: D) 65, 535. 13. Find the coefficient of $x^{32}$ $\left(x^4-\frac{1}{x^3}\right)^{15}$ A) $15C_8$. B) $-15C_7$. C) $15C_4$. D) $-15C_8$. Show Answer Correct Answer: C) $15C_4$. 14. Which of these is the first step in mathematical induction? A) Prove the statement is true for the first element in the set. B) Show that if the statement is true for the first k elements, then it is true for the (k+1)st case. C) Prove that the problem you are working on is the base to all proofs. D) None of these are correct. Show Answer Correct Answer: A) Prove the statement is true for the first element in the set. 15. What is the fourth term of (n + 2m)$^{5}$ A) 80nm$^{4}$. B) 80n$^{2}$m$^{3}$. C) 160nm$^{4}$. D) 40n$^{2}$m$^{3}$. Show Answer Correct Answer: B) 80n$^{2}$m$^{3}$. 16. What would be the 5th term of the expansion of (n+4)$^{4}$? A) 257. B) 256. C) N$^{4}$. D) 259. Show Answer Correct Answer: B) 256. 17. How do you know what row of Pascal's triangle to use to expand a binomial? A) You use the row that has the same number of terms as the exponent. B) You use the row that is the same number as the exponent. C) You use the row that is on the bottom of the triangle. D) You just guess. Show Answer Correct Answer: B) You use the row that is the same number as the exponent. 18. Which of the following statements about the Binomial Theorem is true? A) It can only be used for positive integer exponents. B) It can be generalized for any real exponent. C) It is only valid for two terms in the binomial. D) It cannot be used for negative exponents. Show Answer Correct Answer: B) It can be generalized for any real exponent. 19. Find term 5 in row 7 A) 7. B) 35. C) 21. D) 28. Show Answer Correct Answer: C) 21. 20. What is the Index of binomial? A) The sum of all coefficients. B) The power of the first coefficient. C) The power of a binomial. D) The Pascal's triangle. Show Answer Correct Answer: C) The power of a binomial. 21. Find the coefficient of $a^5b^7$ $\left(a+b\right)^{12}$ A) 786. B) 789. C) 792. D) 796. Show Answer Correct Answer: C) 792. 22. From the ground, a rubber ball is thrown 20 feet into the air. If its rebound ratio is ($^{7}$/$_{10}$), how far will it have traveled during the first five bounces. A) 55.462. B) 58.139. C) 110.924. D) 960, 341.857. Show Answer Correct Answer: C) 110.924. 23. Use Pascal's Triangle to expand the expression.(2x+5)$^{4}$ A) 2x$^{4}$ + 40x$^{3 }$+ 300x$^{2}$ + 1000x +625. B) 16x$^{4 }$+ 160x$^{3}$ +600x$^{2}$ +1000x + 625. C) 16x$^{4}$ + 1000x$^{3}$ + 600x$^{2 }$+ 160x +625. D) None of the above. Show Answer Correct Answer: B) 16x$^{4 }$+ 160x$^{3}$ +600x$^{2}$ +1000x + 625. 24. What would be the 2nd term of the expansion of (y+4)$^{4}$? A) 253y. B) 16y$^{3}$. C) 64y. D) 96y$^{2}$. Show Answer Correct Answer: B) 16y$^{3}$. 25. Find the z-score.Mean = 25Standard Deviation:7x = 9.6 A) -2.2. B) -36. C) 5.2. D) 23.46. Show Answer Correct Answer: A) -2.2. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 8 Binomial Theorem Quiz 1Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 2Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 3Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 4Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 5Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 6Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 7Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 9Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 10Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books