This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 7 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factor x$^{4}$-12x$^{2}$ + 36 A) (x$^{2}$ + 6i)(x$^{2}$-6i). B) (x$^{2}$-6)(x$^{2}$ + 6). C) (x$^{4}$-6i)(x$^{4}$-6i). D) (x$^{2}$-6)(x$^{2}$-6). Show Answer Correct Answer: D) (x$^{2}$-6)(x$^{2}$-6). 2. Factor 9x$^{2}$-100 A) (3x + 10)(3x-10). B) (3x-10)(3x-10). C) (3x + 10)(3x + 10). D) (3x + 10i)(3x-10i). Show Answer Correct Answer: A) (3x + 10)(3x-10). 3. 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) 13.2 cups per hour. B) 1200 cups per hour. C) 132 cups per hour. D) 50 cups per hour. Show Answer Correct Answer: A) 13.2 cups per hour. 4. Does this sequence converge or diverge? $\frac{1}{4}, \frac{1}{9}, \frac{1}{16}, \frac{1}{25}, ..... $ A) Converges to 0. B) Converges to 1. C) Converges to 5. D) Diverges. Show Answer Correct Answer: A) Converges to 0. 5. Find the 10th term of the expansion:(3x + 2y)$^{15}$ A) 1868106240x$^{6}$y$^{9}$. B) 3602776320x$^{6}$y$^{9}$. C) 747242496x$^{5}$y$^{10}$. D) 5674372704x$^{10}$y$^{5}$. Show Answer Correct Answer: A) 1868106240x$^{6}$y$^{9}$. 6. 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: A) (2x-1)(4x$^{2}$ + 2x + 1). 7. Find the fourth term of the expansion (5+3y)$^{5 }$by using combination A) 2025y$^{4}$. B) 750y$^{3}$. C) 75y$^{4}$. D) 6750y$^{3}$. Show Answer Correct Answer: D) 6750y$^{3}$. 8. $2nC_{n+1}+2.2nC_n+2nC_{n-1}=$ A) $\left(2n+2\right)C_{n+1}$. B) $\left(n+1\right)C_{n+1}$. C) $nC_n$. D) $(2n+1)C_{n+1}$. Show Answer Correct Answer: A) $\left(2n+2\right)C_{n+1}$. 9. Principal:$ 5000Interest Rate:3.75%Time:25 yearsCompounded MonthlyState the future account balance. A) $ 12712.31. B) $ 12, 749.30. C) $ 12, 657.59. D) $ 12550.84. Show Answer Correct Answer: B) $ 12, 749.30. 10. Which of the following would represent Pascal's Triangle Row 6 A) 1 6 10 10 6 1. B) 1 6 21 35 35 21 6 1. C) 1 6 21 35 21 6 1. D) 1 6 15 20 15 6 1. Show Answer Correct Answer: D) 1 6 15 20 15 6 1. 11. Select the coefficients of the 5th Row in Pascal's Triangle A) 1;3;3;1. B) 1;4;6;4;1. C) 1;5;10;10;5;1. D) 1;6;15;20;15;6;1. Show Answer Correct Answer: C) 1;5;10;10;5;1. 12. Find the 9th term in (2x-5)$^{11}$. A) 515625000x$^{3}$. B) 5280000x$^{8}$. C) 525625000. D) 5280000. Show Answer Correct Answer: A) 515625000x$^{3}$. 13. What would be the 4th term of the expansion of $\left(a+3\right)^4$ A) 108a. B) 12a$^{3}$. C) 81. D) 27a. Show Answer Correct Answer: A) 108a. 14. What is the 6th term in the expansion of (x + 3)$^{5}$? A) 243. B) X$^{5}$. C) 243x$^{5}$. D) 90x$^{3}$. Show Answer Correct Answer: A) 243. 15. 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). 16. If Gonzalo's score is 87, the class mean is 82, and the s = 4, what is Gonzalo's z-score? A) -1.25. B) +1.25. C) +1.20. D) +1.02. Show Answer Correct Answer: B) +1.25. 17. Which of the following is the coefficient for the x$^{}$y$^{3}$ term of the expansion (3x-2y)$^{4}$? A) 4. B) -24. C) -96. D) 216. Show Answer Correct Answer: C) -96. 18. The value of (126)$^{1/3}$ up to three decimal places is A) 5.011. B) 5.012. C) 5.013. D) 5.014. Show Answer Correct Answer: C) 5.013. 19. Determine the number of terms in the expansion of $(x + y)^{10}$ A) 10. B) 11. C) 12. D) 13TagsCCSS.HSA.APR.C.5. Show Answer Correct Answer: B) 11. 20. In the expansion of $(x + y)^6$ A) 5. B) 6. C) 7. D) 8. Show Answer Correct Answer: C) 7. 21. 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. 22. Find the coefficient of the x$^{2}$ term in (2x-3)$^{9}$ A) 41472. B) -41472. C) 314928. D) -314928. Show Answer Correct Answer: D) -314928. 23. What is the general term in the expansion of $(a + b)^n$ A) $C(n, r)\cdot a^r\cdot b^{n-r}$. B) $C(n, r)\cdot a^{n-r}\cdot b^r$. C) $C(n, r)\cdot a^n\cdot b^r$. D) $C(n, r)\cdot a^r\cdot b^n$. Show Answer Correct Answer: B) $C(n, r)\cdot a^{n-r}\cdot b^r$. 24. Simplificar:$\frac{\left(a-2\right)!}{\left(a-1\right)!}$ A) $a-2$. B) $a-1$. C) $\frac{1}{a-1}$. D) $\frac{1}{a-2}$. Show Answer Correct Answer: C) $\frac{1}{a-1}$. 25. What is the binomial expansion of (x + 1)$^{8}$? A) X$^{8}$ + 1. B) X$^{8}$ + 8x$^{7}$ + 16x$^{6}$ + 24x$^{5}$ + 32x$^{4}$ + 24x$^{3}$ + 16x$^{2}$ + 8x + 1. C) X$^{8}$ + 7x$^{7}$ + 21x$^{6}$ + 35x$^{5}$ + 35x$^{4}$ + 21x$^{3}$ + 7x$^{2}$ + 1. D) X$^{8}$ + 8x$^{7}$ + 28x$^{6}$ + 56x$^{5}$ + 70x$^{4}$ + 56x$^{3}$ + 28x$^{2}$ + 8x + 1. E) X$^{8}$ + 8x$^{7}$ + 28x$^{6}$ + 70x$^{4}$ + 56x$^{3}$ + 28x$^{2}$ + 8x + 1. Show Answer Correct Answer: D) X$^{8}$ + 8x$^{7}$ + 28x$^{6}$ + 56x$^{5}$ + 70x$^{4}$ + 56x$^{3}$ + 28x$^{2}$ + 8x + 1. ← 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 8Class 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