Binomial Expansion | 30 Worked Examples | OCR B MEI A-Level Maths

30 fully worked questions on the binomial expansion for OCR B (MEI) A-Level Maths (H640), built for Year 12 students who want to expand (a + bx)^n for a positive integer n with confidence and then use the result to solve problems. The questions follow the style of the H640 Section A and Section B papers, with command words such as Find, Show that and Determine, and three questions carry the detailed reasoning instruction. The pack covers factorials and nCr notation, Pascal’s triangle, full expansions up to the sixth power, the first few terms in ascending powers, a single term or coefficient (including a negative b and two variables), finding an unknown constant or the power n from a coefficient or a ratio of coefficients, products such as (1 + 2x)(1 - x)^6, the term independent of x in expansions such as (x - 2/x)^6 and (2x^2 + 1/x)^9, estimating values such as 1.02^8 and 0.99^10 with a comment on accuracy, and exact surd expansions such as (2 + root 3)^4. Every solution is broken into single steps with a plain English reason, an arrow note on every line and OCR style M1, A1 and B1 marks placed exactly where a mark scheme rewards them, so students see how marks are earned and where they are lost. The total is 147 marks. Ideal for homework, revision, tutoring or self study, and a complete answer for every question is included.

What’s inside:
Easy: 10 questions on factorials, nCr, Pascal’s triangle, full expansions, a single coefficient and finding n from nC2
Medium: 13 questions on unknown constants, products of brackets, ratios of coefficients, the term independent of x in (x - 2/x)^6 and a proof with nCr, estimating 1.02^8 and 0.99^10, exact surds, sums of binomial coefficients and two variables
Hard: 7 questions on finding a and n together, terms independent of x, a missing x squared term, accuracy of an estimate, surd conjugates, a proof with factorials and a combined estimate