This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Heavy rain in Brieanne's town caused the river to rise. The river rose three inches the first day, andeach day after rose twice as much as the previous day. How much did the river rise in five days? A) The river rose 93 inches in 5 days. B) The river rose 96 inches in 5 days. C) The river rose 32 inches in 5 days. D) None of the above. Show Answer Correct Answer: A) The river rose 93 inches in 5 days. 2. Expand (g + 4)(g + 5) A) G$^{2}$ + 20. B) G$^{2}$ + 11g + 20. C) G$^{2}$ + 9g + 20. D) G$^{2}$ + 9g + 9. Show Answer Correct Answer: C) G$^{2}$ + 9g + 20. 3. Expand Completely. (Using Pascal's Triangle) $\left(x+3y\right)^4$ A) $x^3+12x^3y+54x^2y^2+108xy^2+81y$. B) $x^4+12x^3y+54x^2y^2+108xy^3+81y^4$. C) $x^4-12x^3y-54x^2y^2-108xy^3-81y^4$. D) None of the above. Show Answer Correct Answer: B) $x^4+12x^3y+54x^2y^2+108xy^3+81y^4$. 4. In the expansion of $(3x + 2y)^4$ $x^2y^2$ A) 24. B) 72. C) 144. D) 96. Show Answer Correct Answer: D) 96. 5. Find the element in Pascal's Triangle. 8th row and 6 element. A) 28. B) 56. C) 0. D) 7. Show Answer Correct Answer: A) 28. 6. Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations A) +1.00. B) +0.50. C) -1.00. D) -0.50. Show Answer Correct Answer: B) +0.50. 7. Find the 5th term of the expansion $\left(y-2x\right)^{10}$ A) $3360x^4y^6$. B) $3360x^6y^4$. C) $-336x^2y^4$. D) $-3360x^4y^6$. Show Answer Correct Answer: A) $3360x^4y^6$. 8. Find the 2nd term in the expansion of $\left(2y+4x\right)^4$ A) $128y^3x$. B) $128y^2x^2$. C) $84y^3x$. D) $-128y^3x$. Show Answer Correct Answer: A) $128y^3x$. 9. What number is at the top of Pascal's Triangle? A) 1. B) 3. C) 5. D) 0. Show Answer Correct Answer: A) 1. 10. What is the standard form of the polynomial, 9x$^{2}$ + 5x + 27 + 2x$^{3}$ A) 9x$^{2}$ + 5x + 2x$^{3}$ + 27. B) 2x$^{3}$ + 9x$^{2}$ + 5x + 27. C) 27 + 5x + 9x$^{2}$ + 2x$^{3}$. D) 9x$^{2}$ + 5x + 27 + 2x$^{3}$. Show Answer Correct Answer: B) 2x$^{3}$ + 9x$^{2}$ + 5x + 27. 11. What is the numerical coefficient of the 5th term in the binomial expansion $\left(3z-\frac{2}{z}\right)^7$ A) -22680. B) 15120. C) -6048. D) 1344. Show Answer Correct Answer: B) 15120. 12. When x=1, y=3/2, numerically greatest term in the expansion of (2x-3y)$^{12}$ is A) 10th. B) 12th. C) 8th. D) 6th. Show Answer Correct Answer: A) 10th. 13. What are the next 3 terms in this sequence of terms? 3, 7, 11, 15 A) 19, 23, 27. B) 19, 21, 23. C) 18, 22, 26. D) 18, 21, 24. Show Answer Correct Answer: A) 19, 23, 27. 14. Find the 10th term of the expansion:(x + 1)$^{20}$ A) 184756x$^{10}$. B) 77520x$^{11}$. C) 125970x$^{12}$. D) 167960x$^{11}$. Show Answer Correct Answer: D) 167960x$^{11}$. 15. Find the 4th term in (x+3)$^{10}$ A) 3240x$^{7}$. B) 6570x$^{7}$. C) 630x$^{7}$. D) 360x$^{7}$. Show Answer Correct Answer: A) 3240x$^{7}$. 16. Factor:27x$^{3}$ + 8 A) (27x + 8)(x$^{2}$-216x + 64). B) (9x + 2)(3x$^{2}$ + 18x + 4). C) (3x$^{2}$+4)(9x + 2). D) (3x + 2)(9x$^{2}$-6x + 4). Show Answer Correct Answer: D) (3x + 2)(9x$^{2}$-6x + 4). 17. Given the binomial $\left(x^5-y^3\right)^{15}$ $y^{27}$ A) $-5005x^{30}y^{27}$. B) $5005x^{30}y^{27}$. C) $-5005x^{11}y^{12}$. D) $5005x^{11}y^{12}$. Show Answer Correct Answer: A) $-5005x^{30}y^{27}$. 18. What is the coefficient of n$^{3}$m$^{2}$ in expansion of (n +2m)$^{5}$ A) 80. B) 40. C) 20. D) 10. Show Answer Correct Answer: B) 40. 19. If $^{n}$Pr= 840 and $^{n}$Cr=35, then the values of 'n' and 'r' are A) 7, 4. B) 2, 3. C) 4, 7. D) 3, 2. Show Answer Correct Answer: A) 7, 4. 20. Find the constant term in the expansion of $\left(x^3+\frac{3}{x^2}\right)^{15}$ A) $15C_9\times3^9$. B) $15C_{10}\times3^{10}$. C) $15C_7$. D) $15C_8\times3^8$. Show Answer Correct Answer: A) $15C_9\times3^9$. 21. $\left(x+y\right)^0-1=$ A) 0. B) -1. C) 1. D) None of the answer choices. Show Answer Correct Answer: A) 0. 22. Permutation is the situation when A) Counting principles are applied. B) The same result occurs when positions of objects are switched. C) I don't know. D) A different result occurs when positions of objects are switched. Show Answer Correct Answer: D) A different result occurs when positions of objects are switched. 23. What is the sum of the coefficients in the expansion of $(2x + 1)^4$ A) 32. B) 81TagsAZ.MA.9-12.P.A-APR.C.5. C) 16. D) 8. Show Answer Correct Answer: C) 16. 24. Expand $\left(4x-y\right)^3$ A) $256x^3-96x^2y+16xy^2-y^3$. B) $320x^3-160x^2y+40xy^2-5y^3$. C) $64x^3-16x^2y+4xy^2-y^3$. D) $64x^3-48x^2y+12xy^2-y^3$. Show Answer Correct Answer: D) $64x^3-48x^2y+12xy^2-y^3$. 25. Factor x$^{4}$-12x$^{2}$ + 36 A) (x$^{2}$-6)(x$^{2}$-6). B) (x$^{4}$-6i)(x$^{4}$-6i). C) (x$^{2}$-6)(x$^{2}$ + 6). D) (x$^{2}$ + 6i)(x$^{2}$-6i). Show Answer Correct Answer: A) (x$^{2}$-6)(x$^{2}$-6). 26. Factor 9x$^{2}$-100 A) (3x + 10i)(3x-10i). B) (3x-10)(3x-10). C) (3x + 10)(3x-10). D) (3x + 10)(3x + 10). Show Answer Correct Answer: C) (3x + 10)(3x-10). 27. Water flows through a pipe at a rate of 75 liters per day. Express this rate of flow in cups per hour. Round your answer to the nearest tenth. A) 132 cups per hour. B) 1200 cups per hour. C) 50 cups per hour. D) 13.2 cups per hour. Show Answer Correct Answer: D) 13.2 cups per hour. 28. Does this sequence converge or diverge? $\frac{1}{4}, \frac{1}{9}, \frac{1}{16}, \frac{1}{25}, ..... $ A) Diverges. B) Converges to 0. C) Converges to 1. D) Converges to 5. Show Answer Correct Answer: B) Converges to 0. 29. Find the 10th term of the expansion:(3x + 2y)$^{15}$ A) 747242496x$^{5}$y$^{10}$. B) 1868106240x$^{6}$y$^{9}$. C) 5674372704x$^{10}$y$^{5}$. D) 3602776320x$^{6}$y$^{9}$. Show Answer Correct Answer: B) 1868106240x$^{6}$y$^{9}$. 30. Factor:8x$^{3}$-1 A) (2x + 1)(4x$^{2}$ +2x + 1). B) (2x + 1)(4x$^{2}$-2x + 1). C) (2x-1)(4x$^{2}$ + 2x + 1). D) (2x-1)(4x$^{2}$-2x-1). Show Answer Correct Answer: C) (2x-1)(4x$^{2}$ + 2x + 1). 31. Find the fourth term of the expansion (5+3y)$^{5 }$by using combination A) 750y$^{3}$. B) 75y$^{4}$. C) 2025y$^{4}$. D) 6750y$^{3}$. Show Answer Correct Answer: D) 6750y$^{3}$. 32. $2nC_{n+1}+2.2nC_n+2nC_{n-1}=$ A) $(2n+1)C_{n+1}$. B) $\left(n+1\right)C_{n+1}$. C) $\left(2n+2\right)C_{n+1}$. D) $nC_n$. Show Answer Correct Answer: C) $\left(2n+2\right)C_{n+1}$. 33. Principal:$ 5000Interest Rate:3.75%Time:25 yearsCompounded MonthlyState the future account balance. A) $ 12550.84. B) $ 12, 749.30. C) $ 12, 657.59. D) $ 12712.31. Show Answer Correct Answer: B) $ 12, 749.30. 34. Which of the following would represent Pascal's Triangle Row 6 A) 1 6 21 35 21 6 1. B) 1 6 15 20 15 6 1. C) 1 6 21 35 35 21 6 1. D) 1 6 10 10 6 1. Show Answer Correct Answer: B) 1 6 15 20 15 6 1. 35. Select the coefficients of the 5th Row in Pascal's Triangle A) 1;6;15;20;15;6;1. B) 1;3;3;1. C) 1;4;6;4;1. D) 1;5;10;10;5;1. Show Answer Correct Answer: D) 1;5;10;10;5;1. 36. Find the 9th term in (2x-5)$^{11}$. A) 5280000x$^{8}$. B) 525625000. C) 5280000. D) 515625000x$^{3}$. Show Answer Correct Answer: D) 515625000x$^{3}$. 37. What would be the 4th term of the expansion of $\left(a+3\right)^4$ A) 12a$^{3}$. B) 81. C) 27a. D) 108a. Show Answer Correct Answer: D) 108a. 38. What is the 6th term in the expansion of (x + 3)$^{5}$? A) 90x$^{3}$. B) 243x$^{5}$. C) 243. D) X$^{5}$. Show Answer Correct Answer: C) 243. 39. If a rectangular yard has an area of x$^{4}$-3x$^{2}$-10, which could be the length and width of the yard. A) (x$^{2}$ + 5) and (x$^{2}$-2). B) (x$^{4}$-3) and (x-10). C) (x-5) and (x$^{3}$ + 2). D) (x$^{2}$-5) and (x$^{2}$ + 2). Show Answer Correct Answer: D) (x$^{2}$-5) and (x$^{2}$ + 2). 40. If Gonzalo's score is 87, the class mean is 82, and the s = 4, what is Gonzalo's z-score? A) +1.02. B) +1.20. C) +1.25. D) -1.25. Show Answer Correct Answer: C) +1.25. 41. Which of the following is the coefficient for the x$^{}$y$^{3}$ term of the expansion (3x-2y)$^{4}$? A) 216. B) 4. C) -96. D) -24. Show Answer Correct Answer: C) -96. 42. The value of (126)$^{1/3}$ up to three decimal places is A) 5.012. B) 5.011. C) 5.014. D) 5.013. Show Answer Correct Answer: D) 5.013. 43. Determine the number of terms in the expansion of $(x + y)^{10}$ A) 11. B) 13TagsCCSS.HSA.APR.C.5. C) 12. D) 10. Show Answer Correct Answer: A) 11. 44. In the expansion of $(x + y)^6$ A) 7. B) 8. C) 5. D) 6. Show Answer Correct Answer: A) 7. 45. For what is Pascal's Triangle used? A) To multiply binomials and trinomials. B) To form a cute arrangement of numbers. C) To expand binomials which are raised to a power. D) To add or subtract binomials. Show Answer Correct Answer: C) To expand binomials which are raised to a power. 46. Find the coefficient of the x$^{2}$ term in (2x-3)$^{9}$ A) -41472. B) 314928. C) 41472. D) -314928. Show Answer Correct Answer: D) -314928. 47. What is the general term in the expansion of $(a + b)^n$ A) $C(n, r)\cdot a^n\cdot b^r$. B) $C(n, r)\cdot a^r\cdot b^{n-r}$. C) $C(n, r)\cdot a^{n-r}\cdot b^r$. D) $C(n, r)\cdot a^r\cdot b^n$. Show Answer Correct Answer: C) $C(n, r)\cdot a^{n-r}\cdot b^r$. 48. Simplificar:$\frac{\left(a-2\right)!}{\left(a-1\right)!}$ A) $a-2$. B) $a-1$. C) $\frac{1}{a-2}$. D) $\frac{1}{a-1}$. Show Answer Correct Answer: D) $\frac{1}{a-1}$. 49. What is the binomial expansion of (x + 1)$^{8}$? A) X$^{8}$ + 8x$^{7}$ + 28x$^{6}$ + 56x$^{5}$ + 70x$^{4}$ + 56x$^{3}$ + 28x$^{2}$ + 8x + 1. B) X$^{8}$ + 7x$^{7}$ + 21x$^{6}$ + 35x$^{5}$ + 35x$^{4}$ + 21x$^{3}$ + 7x$^{2}$ + 1. C) X$^{8}$ + 8x$^{7}$ + 16x$^{6}$ + 24x$^{5}$ + 32x$^{4}$ + 24x$^{3}$ + 16x$^{2}$ + 8x + 1. D) X$^{8}$ + 1. E) X$^{8}$ + 8x$^{7}$ + 28x$^{6}$ + 70x$^{4}$ + 56x$^{3}$ + 28x$^{2}$ + 8x + 1. Show Answer Correct Answer: A) X$^{8}$ + 8x$^{7}$ + 28x$^{6}$ + 56x$^{5}$ + 70x$^{4}$ + 56x$^{3}$ + 28x$^{2}$ + 8x + 1. 50. The word "arrange" usually refers to A) Probability. B) Counting. C) Combination. D) Permutation. Show Answer Correct Answer: D) Permutation. 51. 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) $x^3+9x^2+27x+27$. 52. Multiply.(x + 2)(x + 3) A) X$^{2}$ + x + 6. B) X$^{2}$ + 5x + 5. C) X$^{2}$ + 5x + 6. D) X$^{2}$ + 6x + 6. Show Answer Correct Answer: C) X$^{2}$ + 5x + 6. 53. $Evaluate:\\\sum_{a=2}^6\left(a^2+a\right)$ A) 70. B) 110. C) 90. D) None of the above. Show Answer Correct Answer: B) 110. 54. How many terms would be in the expansion of (x+4)$^{5}$? A) 6. B) 4. C) 7. D) 5. Show Answer Correct Answer: A) 6. 55. Level 2 Question 1164-27a$^{3}$ A) (4-3a)(3a$^{2}$+12a+16). B) (4-3a)(9a$^{2}$+12a+16). C) (4-3a)$^{3}$. D) (3a-4)(3a$^{2}$+12a+16). Show Answer Correct Answer: B) (4-3a)(9a$^{2}$+12a+16). 56. 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. 57. What is the fifth term in the expansion of (b+3a$^{4}$)$^{5}$ A) 405a$^{16}$b. B) 15a$^{4}$b$^{4}$. C) 270a$^{12}$b$^{2}$. D) 81a$^{16}$b. Show Answer Correct Answer: A) 405a$^{16}$b. 58. Which term is the middle term in the expansion of $(a + b)^8$ A) 6th term. B) 5th term. C) 8th term. D) 4th term. Show Answer Correct Answer: B) 5th term. 59. 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. 60. Divide $\frac{2x^2-5x + 3}{x-2}$ $q(x) + \frac{r(x)}{x-2}$ A) $2x-1 + \frac{1}{x-2}$. B) $2x + 1 + \frac{1}{x-2}$. C) $2x-5 + \frac{3}{x-2}$. D) $2x-1 + \frac{5}{x-2}$. Show Answer Correct Answer: A) $2x-1 + \frac{1}{x-2}$. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 8 Binomial Theorem Quiz 1Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 2Class 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 8Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books