Binomial expansion Study guides, Revision notes & Summaries

2 Section A Answer all questions in the spaces provided. 1 At a point P on a curve, the gradient of the tangent to the curve is 10 State the gradient of the normal to the curve at P Circle your answer. [1 mark] 10 0.1 0.1 10 2 3 x 2 Identify the expression below which is equivalent to 5 Circle your answer. [1 mark] 8x 3 125x 3 125 8 125 8 8x 3 125x 3 Do not write outside the box (02) Jun23/7356/1 3 The coefficient of x 2 in the binomial expansion of (1 þ ax) 6 ...

Chapter 03 Mendelian Inheritance Student: ___________________________________________________________________________ 1. The theory of pangenesis was first proposed by ________. A. Aristotle B. Galen C. Mendel D. Hippocrates E. None of these choices are correct 2. Which of the following is correct regarding the blending theory of inheritance? A. It believed that hereditary traits blended from one generation to the next B. It was possible for th...

AS MATHEMATICS Paper 2 Time allowed: 1 hour 30 minutes For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 TOTAL Materials  You must have the AQA Formulae for A‑level Mathematics booklet. l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes ...

At a point P on a curve, the gradient of the tangent to the curve is 10 State the gradient of the normal to the curve at P Circle your answer. [1 mark] ÿ10 ÿ0.1 0.1 10 2 Identify the expression below which is equivalent to 2x   5 ÿ3 Circle your answer. [1 mark] 8x3 125 125x3 8 125 8x3 8 125x3 Jun23/7356/1 Do not write outside the box (02)3 3 The coefficient of x2 in the binomial expansion of (1 þ ax)6 is 20 3 Find the two possible values of a [3 marks] ___________...

Natural Numbers --------------------------------------------------------------------------11 Factors -------------------------------------------------------------------------------------18 Divisibility test ----------------------------------------------------------------------------23 G.C.D ---------------------------------------------------------------------------------------26 L.C.M ---------------------------------------------------------------------------------------29 Integers---------...

AQA AS MATHEMATICS 7356/1 Paper 1 Version: 1.0 Final PB/KL/Jun23/E4 7356/1 AS MATHEMATICS Paper 1 Time allowed: 1 hour 30 minutes Materials l You must have the AQA Formulae for A‑level Mathematics booklet. l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions l Use black ink or black ball-point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l You...

Differentiate tan(kx) ksec^2(kx) Differentiate cos(kx) -ksin(kx) Differentiate sin(kx) kcos(kx) Arithmetic sequence Un = a + (n - 1)d Arithmetic series Sn = n/2 (a + d) Geometric sequences Un = ar^n - 1 Geometric series Sn = a(r^n - 1) / r - 1 Sum to infinity a/1 - r Convergent series Sn closer to 0 Divergent series Sn further away from 0 Sigma notation Recurrence relationship Defines each term as function of...

Pure Mathematics Edexcel A-Level Year 1 and 2 revision notes, written by a straight A* student. Includes diagrams and explanations for concepts. Well organised and in order. Includes collated information from class, textbooks and online. Topics include: Quadratics, Graphs and transformations, Functions and graphs, Circles, Algebraic methods, The binomial expansion, Trigonomic ratios, Trigonomic identities and equations, Trigonometric functions, Trigonometry and modelling, Vectors, Differentiat...

A-Level Mathematics Predicted Paper 2023 Edexcel Paper 3 – Statistics and Mechanics with correct marking schemes. Name ……………………………………………… Date ……………………………………………… 2 hours allowed Calculator Paper Maximum Mark: 100 Grade boundaries These are VERY rough guesses! Getting an A on this paper does not guarantee you the same mark in the exam. • A* 75% • A 55% • B 45% • C 35% • D 25% • E 15% ...

AS MATHEMATICS Paper 1 Thursday 18 May 2023 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae for A‑level Mathematics booklet.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the...