This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A bag contains 4 yellow balls and 6 green balls. A ball is taken from the bag and not replaced. A second ball is then taken. Draw a tree diagram and find the probability that the two balls are different colours. A) $\frac{4}{9}$. B) $\frac{24}{90}$. C) $\frac{8}{15}$. D) None of the above. Show Answer Correct Answer: C) $\frac{8}{15}$. 2. The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood? A) 0.316. B) 0.282. C) 0.001. D) Not here. Show Answer Correct Answer: B) 0.282. 3. Factor 216x$^{3}$ + 125 A) 6(x + 5)$^{3}$. B) (6x-5)(36x$^{2}$ + 30x + 25). C) (6x + 5)(6x$^{2}$-30x + 25). D) (6x + 5)(36x$^{2 }$-30x + 25). Show Answer Correct Answer: D) (6x + 5)(36x$^{2 }$-30x + 25). 4. Identify the second term of $\left(2x-8\right)^5$ A) A. $-640x^4$. B) $-32x^3$. C) $640x$. D) $-256x^5$. E) $-80x^4$. Show Answer Correct Answer: A) A. $-640x^4$. 5. Simplify:(10+ 15i)-(48-30i) A) 58-45i. B) 58-15i. C) -38-15i. D) -38 + 45i. Show Answer Correct Answer: D) -38 + 45i. 6. Factor $8x^3-27$ A) (2x+3)(4x$^{2}$-6x+9). B) (2x-3)(4x$^{2}$+6x+9). C) (2x-3)(4x$^{2}$+6x-9). D) (2x-3)(2x$^{2}$+6x+9). Show Answer Correct Answer: B) (2x-3)(4x$^{2}$+6x+9). 7. What is the coefficient of $x^2y^3$ $(x + y)^5$ A) 5. B) 10. C) 20. D) 30TagsAZ.MA.9-12.P.A-APR.C.5. Show Answer Correct Answer: B) 10. 8. Find the first 4 terms of the expansion of $\left(2r-s\right)^{10}$ A) $1024r^{10}+5120r^{9s}+11520r^8s^2+15360r^7s^3$. B) $1024r^{10}+5120r^{9s}+11520r^8s^2-15360r^7s^3$. C) $1024r^{10}-5120r^{9s}+11520r^8s^2-15360r^7s^3$. D) $1024r^{10}-512r^{9s}+11520r^8s^2-15360r^7s^3$. Show Answer Correct Answer: C) $1024r^{10}-5120r^{9s}+11520r^8s^2-15360r^7s^3$. 9. What factoring technique must be used to factor? 27a$^{3 }$+ 343? A) Factoring using the GCF. B) Difference of 2 cubes. C) Sum of 2 cubes. D) FOIL. Show Answer Correct Answer: C) Sum of 2 cubes. 10. A dataset has a mean of 20 and a standard deviation of 4. What is the z-score of a data point that is 28? A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: B) 2. 11. If the third term in the expansion of $(x + y)^n$ $120x^{n-2}y^2$ $n$ A) 5. B) 6. C) 7. D) 8. Show Answer Correct Answer: C) 7. 12. I want to arrange 5 boys and 5 girls together such that the same gender are together. The number of ways = A) 2!*5!*5!. B) 2!. C) 10!. D) 10!-(5!*5!). Show Answer Correct Answer: A) 2!*5!*5!. 13. How many terms are the in the expansion of (1+b)$^{5}$ A) 5. B) 6. C) 25. D) 50. E) 3. Show Answer Correct Answer: B) 6. 14. If $^{n}$C4=210, then the values of 'n' is A) 10. B) 4. C) 6. D) 210. Show Answer Correct Answer: A) 10. 15. Expand $\left(2x+4y\right)^3$ A) $8x^3+48x^2y+96xy^2+64y^3$. B) $40x^3+160x^2y+320xy^2+320y^3$. C) $32x^3+48x^2y+96xy^2+64y^3$. D) $8x^3+16x^2y+32xy^2+64y^3$. Show Answer Correct Answer: A) $8x^3+48x^2y+96xy^2+64y^3$. 16. Find the 3rd term in the expansion of $\left(3b+a\right)^4$ A) $50b^2a$. B) $54ba$. C) $54b^2a^2$. D) $54ba^2$. Show Answer Correct Answer: C) $54b^2a^2$. 17. What is the first term in the expansion of (2x-3)$^{5}$ A) -32x$^{5}$. B) -243. C) 32x$^{5}$. D) 270x$^{2}$. Show Answer Correct Answer: C) 32x$^{5}$. 18. The first three terms of (x + 1)$^{8}$ are ..... A) 1 + 8 + 28. B) X$^{8}$ + x$^{7 }$+ x$^{6}$. C) 1 + 8x + 28x$^{2}$. D) X$^{8}$ + 8x$^{7 }$+ 28x$^{6}$. Show Answer Correct Answer: D) X$^{8}$ + 8x$^{7 }$+ 28x$^{6}$. 19. What year was nickelodeon founded? A) 1923. B) 1930. C) 1977. D) 1985. E) 1990. Show Answer Correct Answer: C) 1977. 20. From a deck of 52 cards, how many 5 card hands have at least two red cards? A) 2, 144, 470. B) 2, 144, 480. C) 2, 144, 490. D) 2, 144, 500. Show Answer Correct Answer: B) 2, 144, 480. 21. Expand (4x+2y)$^{3}$ A) 64x$^{3 }$-96x$^{2}$y + 48xy$^{2 }$-8y$^{3}$. B) 64x$^{3 }$+ 96x$^{2}$y + 48xy$^{2 }$+ 8y$^{3}$. C) 64x$^{3 }$+ 96x$^{2}$y-48xy$^{2 }$+ 8y$^{3}$. D) 64x$^{3 }$+ 96xy$^{2 }$+ 48x$^{2}$y + 8y$^{3}$. Show Answer Correct Answer: B) 64x$^{3 }$+ 96x$^{2}$y + 48xy$^{2 }$+ 8y$^{3}$. 22. Which of the following expresses 1+3+5+ ..... +39 A) $\sum_{k=1}^{20}2k-1$. B) $\sum_{k=2}^{40}k-1$. C) $\sum_{k=-1}^{37}k+2$. D) $\sum_{k=1}^{39}2k-1$. Show Answer Correct Answer: A) $\sum_{k=1}^{20}2k-1$. 23. Which number is a coefficient found in the eighth row? A) 36. B) 70. C) 284. D) 5. E) 1452. Show Answer Correct Answer: B) 70. 24. Kamali has 7 unique bracelets and is trying to decide which 3 to wear for a party. Find the number of different combinations of 3 bracelets that Kamali could choose from the 7 she owns? A) 7. B) 21. C) 35. D) 1. Show Answer Correct Answer: C) 35. 25. Find the term that does not contain x in the expansion of $\left(8x^2+\frac{1}{2x}\right)^9$ A) 1024. B) 32768. C) 1080. D) 16777216. Show Answer Correct Answer: B) 32768. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 8 Binomial Theorem Quiz 1Class 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 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