This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 15 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How many rows in The Pascal's triangle? A) 7. B) 8. C) 100. D) Infinite. Show Answer Correct Answer: D) Infinite. 2. What would be the 4th term of the expansion of (a+3)$^{4}$? A) 108a. B) 12a$^{3}$. C) 81. D) 27a. Show Answer Correct Answer: A) 108a. 3. Consider the binomial expansion of $\left(3x^2-2y^3\right)^5$ A) $1080x^6y^6$. B) $1180x^4y^5$. C) $1088x^6y^4$. D) $1011x^6y^6$. Show Answer Correct Answer: A) $1080x^6y^6$. 4. Given the binomial $\left(5+2x^5\right)^{10}$ A) $288000x^{40}$. B) $2250x^{40}$. C) $115200x^{40}$. D) $288000x^{13}$. Show Answer Correct Answer: A) $288000x^{40}$. 5. Row 3 on pascal triangle A) 1. B) 11. C) 121. D) 1331. E) 14641. Show Answer Correct Answer: D) 1331. 6. What is the LAST term in the expansion of (x + 4)$^{5}$? A) 640. B) 160. C) 1024. D) 64. Show Answer Correct Answer: C) 1024. 7. Which of the following is the correct expansion for $(a + b)^3$ A) $a^3 + 3a^2b + 3ab^2 + b^3$. B) $a^3 + 2a^2b + 2ab^2 + b^3$. C) $a^3 + 3a^2b + ab^2 + b^3$. D) $a^3 + a^2b + ab^2 + b^3$. Show Answer Correct Answer: A) $a^3 + 3a^2b + 3ab^2 + b^3$. 8. Expand $\left(b-2\right)^3$ A) B$^{3}$-2b$^{2}$ + 4b-8. B) 5b$^{3}$-20b$^{2}$ + 40b-40. C) B$^{3}$-6b$^{2}$ + 12b-8. D) 4b$^{3}$-12b$^{2}$ + 16b-8. Show Answer Correct Answer: C) B$^{3}$-6b$^{2}$ + 12b-8. 9. Expand $\left(d-5\right)^5$ A) D$^{5}$-25 d$^{4}$ + 250 d$^{3}$-1250 d$^{2}$ + 3125 d-3125. B) D$^{5}$ + 25 d$^{4}$ + 250 d$^{3}$ + 1250 d$^{2}$ + 3125 d + 3125. C) D$^{4 }$-20d$^{3 }$+ 150d$^{2 }$-750d + 3125. D) D$^{4 }$+ 20d$^{3 }$+ 150d$^{2 }$+ 750d + 3125. Show Answer Correct Answer: A) D$^{5}$-25 d$^{4}$ + 250 d$^{3}$-1250 d$^{2}$ + 3125 d-3125. 10. 4a(5a$^{2 }$-a + 4) A) 20a$^{3 }$-4a$^{2 }$+ 16a. B) 20a$^{2 }$-5a + 8a. C) 20a$^{2 }$+ $^{}$4a$^{2 }$+ 16a. D) 20a$^{3 }$+3a$^{2}$ + 16a. Show Answer Correct Answer: A) 20a$^{3 }$-4a$^{2 }$+ 16a. 11. Using the Binomial Theorem expand:$\left(2x+3y\right)^4$ A) $16x^4+96x^3y+216x^2y^2+216xy^3+81y^4$. B) 16x4+96x3y+216x2y2+216xy3+81y4 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $16x^4+96x^3y+216x^2y^2+216xy^3+81y^4$. 12. Find the 4th term in the expansion of (4x-3)$^{5}$. A) 5760. B) -4320x$^{2}$. C) 5760x$^{3}$. D) -4320. Show Answer Correct Answer: B) -4320x$^{2}$. 13. What is the 4th term in the expansion of (m-2n)$^{5}$ A) 20m$^{3}$n$^{2}$. B) -160m$^{2}$n$^{3}$. C) -120m$^{2}$n$^{3}$. D) -80m$^{2}$n$^{3}$. Show Answer Correct Answer: D) -80m$^{2}$n$^{3}$. 14. Kamryn tosses a fair die six times. What is the probability that Kamryn will toss exactly two 5's? A) $_{6}$C$_{5}$(5/6)$^{2}$(1/6)$^{4}$. B) $_{6}$C$_{2}$(5/6)$^{2}$(1/6)$^{4}$. C) $_{6}$C$_{5}$(1/6)$^{2}$(5/6)$^{4}$. D) $_{6}$C$_{2}$(1/6)$^{2}$(5/6)$^{4}$. Show Answer Correct Answer: D) $_{6}$C$_{2}$(1/6)$^{2}$(5/6)$^{4}$. 15. $\left(x+10\right)^3$ A) $x^3+30x^2+30x+1000$. B) $x^3+1000$. C) $x^3+30x^2+300x+1000$. D) $x^2+20x+100$. Show Answer Correct Answer: C) $x^3+30x^2+300x+1000$. 16. Find the 3rd term of the expansion:(5x + 2)$^{7}$ A) 262500x$^{5}$. B) 218750x$^{6}$. C) 175000x$^{4}$. D) 175000x$^{5}$. Show Answer Correct Answer: A) 262500x$^{5}$. 17. An object is moving at a speed of 1300 inches every 9 seconds. Express this speed in kilometers per minute. Round your answer to the nearest hundredth. Hint:1 foot (ft) = 0.305 meters (m) A) 0.22 km/min. B) 1.98 km/min. C) 0.01 km/min. D) 2.20 km/min. Show Answer Correct Answer: A) 0.22 km/min. 18. Find the 2nd term in the expansion of (2b + 1)$^{3}$ A) 12b$^{2}$. B) 6b. C) 8b$^{3}$. D) 4b$^{2}$. Show Answer Correct Answer: A) 12b$^{2}$. 19. Expand:$\left(a+b\right)^3$ A) $a^3-3a^2b+3ab^2+b^3$. B) $a^3+3a^2b+3ab^{ }+b^3$. C) $a^3+3a^2+3ab^2+b^3$. D) $a^3+3a^2b+3ab^2+b^3$. Show Answer Correct Answer: D) $a^3+3a^2b+3ab^2+b^3$. 20. What is the value of the binomial coefficient $C(5, 2)$ A) 10. B) 20. C) 15. D) 5. Show Answer Correct Answer: A) 10. 21. What is the correct expansion of $\left(x+y\right)^5$ A) $x^5+4x^4y+6x^3y^2+4x^2y^4+y^5$. B) $x^5+5x^4y+10x^3y^2+5x^2y^4+y^5$. C) $x^5+4x^4y+6x^3y^2+6x^2y^3+4xy^4+y^5$. D) $x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$. Show Answer Correct Answer: D) $x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$. 22. Is the sequence geometric or arithmetic?6, 18, 54 ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric. 23. Explain the significance of Pascal's triangle in relation to the binomial theorem. A) Pascal's triangle is significant as it directly provides the coefficients for the binomial theorem, facilitating the expansion of binomials. B) Pascal's triangle is used to calculate prime numbers. C) Pascal's triangle is only relevant in geometry. D) Pascal's triangle provides solutions to differential equations. Show Answer Correct Answer: A) Pascal's triangle is significant as it directly provides the coefficients for the binomial theorem, facilitating the expansion of binomials. 24. What is the GCF of 18k and 15k$^{3}$ A) 3k$^{2}$. B) 3k$^{3}$. C) 3k. D) 5k. Show Answer Correct Answer: C) 3k. 25. If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. ← 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 8Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 9Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books