A level pure maths year 1 The Binomial Expansion Question Set and Answers. GCSE Revision. GCSE Papers . Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Eduqas Exam Papers. ... The Binomial Expansion Answers (Download PDF) The Binomial Expansion Questions The Binomial Expansion Answers GCSE. Learn GCSE Maths Edexcel Exam Papers
Binomial Expansion Binomial Expansion - Past Edexcel Exam Questions 1. (Question 2 - C2 May 2018) ... (1:025)8, giving your answer to 4 decimal places. [3] 10. (Question 2 - C2 May 2011) (a) Find the rst 3 terms, in ascending powers of x, of the binomial expansion of (3 + bx)5 where b is a non-zero constant. Give each term in its simplest form.
Questions and model answers on Binomial Expansion for the AQA GCSE Further Maths syllabus, written by the Further Maths experts at Save My Exams.
The first four terms, in ascending powers of x, of the binomial expansion of (1 + kx)n are 1 + Ax + Bx2 + Bx3 + …, where k is a positive constant and A, B and n are positive integers. (a) By considering the coefficients of x2 and x3, show that 3 = (n – 2) k. (4) Given that A = 4, (b) find the value of n and the value of k. (4) (Total 8 marks)
answers without + can be listed with commas or te lines) ar on e.g. Thecommonen.or 24 *C2223r2 —(16)+ 96x+ 72x2 + 2413 + -(16)- gets Blft so correct answer with no working can Score BI in part (a) and BI in part (b). The question stated use the Binomial theorem and if there is no evidence of its use then M mark and hence A marks cannot be earned.
Chapter 9: The Binomial Expansion These questions are taken from the Specimen Exam materials and the real 2018 papers for the new syllabus AS and A-level mathematics courses and arranged by chapter of the textbooks by Goldie et al (available here: https://amzn.to/39umfr5 and https: //amzn.to/3hE8kBL ). There are a mixture of questions from OCR ...
Question 3 : If the binomial coefficients of three consecutive terms in the expansion of (a + x) n are in the ratio 1 : 7 : 42, then find n. Solution : Let the three consecutive terms be r th, (r+1) th and (r+2) th terms.Their coefficients in the expansion of (1+x)n are n C r-1, n C r and n C r+1 respectively. It is given that,
Created by T. Madas Created by T. Madas Question 25 (***+) a) Determine, in ascending powers of x, the first three terms in the binomial expansion of ( )2 3− x 10. b) Use the first three terms in the binomial expansion of ( )2 3− x 10, with a suitable value for x, to find an approximation for 1.97 10. c) Use the answer of part (b) to estimate, correct to 2 significant figures, the
Year 12 Pure Extension Questions - Binomial Expansion . Q1. (a) Find the first 3 terms, in ascending powers of . x, of the binomial expansion of (2 − 3. x) 6. giving each term in its simplest form. (4) ... Find the coefficient of x2 in the series expansion of f(x), giving your answer as a simplified fraction. (2)
One of the terms in the binomial expansion of (3 + αx)6, where α is a constant, is 540x4 (a) Find the possible values of α. (4) (b) Hence find the term independent of x in the expansion of (3) (Total for question = 7 marks) Q6. (a) Find the first 4 terms, in ascending powers of x, of the binomial expansion of giving each term in its simplest ...
Give your answer in the form kx/î where k is a constant to be determined. (1) (c) Substitute x = into your binomial expansion from part (a) and hence find an 10 approximate value for Give your answer in the form — where p and q are integers. (2) 1. Use the binomial series to find the expansion of (2 + 5x)3
This document contains 22 questions about binomial expansions. The questions involve expanding binomial expressions in ascending or descending powers of x and finding specific terms or coefficients in the expansions. Some questions involve using binomial expansions to approximate values or find other expansions. The levels of difficulty range from ** to ***+.
Questions and model answers on Binomial Expansion for the Cambridge (CIE) A Level Maths: Pure 1 syllabus, written by the Maths experts at Save My Exams. ... Pure 1 Exam Questions Series Binomial Expansion. Binomial Expansion (Cambridge (CIE) A Level Maths: Pure 1): Exam Questions. 2 hours 39 questions. Download. All answers. Easy. Medium. Hard ...
(Total for question = 3 marks) Q3. (a) Find the first four terms, in ascending powers of x, of the binomial expansion of writing each term in simplest form. (4) A student uses this expansion with x = to find an approximation for Using the answer to part (a) and without doing any calculations,
A level pure maths year 2 Binomial Expansion Question Set and Answers. GCSE Revision. GCSE Papers . Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Eduqas Exam Papers. ... Binomial Expansion Answers (Download PDF) Binomial Expansion Questions Binomial Expansion Answers GCSE. Learn GCSE Maths Edexcel Exam Papers
Past paper questions for the Binomial Expansion topic of A-Level Edexcel Maths. Home. Revision . AI Flashcard Generator. AI Quiz Generator. Other Products ... Share this question. Click to copy. Options Zoom Print All Questions Full Mark Scheme. Question 1. Mark Scheme. Examiner Report. Next.
Created by T. Madas Created by T. Madas Question 2 Find the binomial expansion of a) ( )2 4+ x 5 b) ( )3 4− x 4 c) 3 6 2x x + 1024 2560 2560 1280 320 32x x x x x5 4 3 2+ + + + + , 256 768 864 432 81x x x x4 3 2− + − + , 6 4 2
Fully justify your answer. (Total for question 13 is 6 marks) 14 In the binomial expansion of there are two irrational terms. Find the difference between these two terms. (Total for question 14 is 3 marks) (√5+ √3)4 15 Find the first 4 terms in the expansion of (2 – 5x)7 in ascending powers of x. (Total for question 15 is 4 marks)
