Binomial expansion - Study guides, Class notes & Summaries
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AQA AS MATHMATICS 7356 1 Paper 1 Question Paper Mark scheme Merged 2024 Update Expert Verified
- Exam (elaborations) • 58 pages • 2024
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1	Find the coefficient of the x term in the binomial expansion of (3 þ x)4 Circle your answer. 
 
 
 
 
 
 
 
 
 
 
 
 
 
[1 mark] 
 
outside the box 
 
 
12	27	54	108 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2	Given that 
 
 
dy	1 
d x ¼ x	find 
 
d2y d x2 
 
Circle your answer. 
[1 mark] 
 
2	1	1	2 
— x2	— x2	x2	x2 
 
1 
3	The graph of the equation y ¼ x is translated by the vector 
 
" 3 # 
 
 
 
outside the box 
 
 
3 (a)	Write down the equation of the transformed graph. 
[1 ...
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Pure Mathematics Revision Notes (Mathematics Edexcel A-Level)
- Summary • 12 pages • 2024
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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...
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AS GCE MATHEMATICS (MEI) :4751/01 Introduction to Advanced Mathematics (C1)
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1 Simplify 5a2c 3 #2a4c 5 ^ h - . [2] 
2 Find the equation of the line joining the points (-1, 9) and (2, -3), giving your answer in the form 
y = mx + c. State the coordinates of the points where this line intersects the axes. [5] 
3 Find the value of 
(i) 2 2 
4 1 
- a k , [2] 
(ii) 8000 3 
2 
^ h . [2] 
4 For the following equation, express x in terms of y. 
y 
x 
y 
x 
3 2 
2 1 = 
+ 
+ [4] 
5 Find the coordinates of the point of intersection of the lines y = 4x + 3 and 3x + 2y = 9. [4] 
6 Fi...
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AQA AS MATHEMATICS 7356/1 Paper 1 Version: 1.0 Final PB/KL/Jun23/E4 7356/1 AS MATHEMATICS Paper 1QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023
- Exam (elaborations) • 47 pages • 2024
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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...
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COMPLETE MATHEMATICS NOTES
- Class notes • 662 pages • 2023
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Natural Numbers --------------------------------------------------------------------------11 
Factors -------------------------------------------------------------------------------------18 
Divisibility test ----------------------------------------------------------------------------23 
G.C.D ---------------------------------------------------------------------------------------26 
L.C.M ---------------------------------------------------------------------------------------29 
Integers---------...
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AQA AS Level MATHEMATICS Question Paper 1 MAY 2023
- Exam (elaborations) • 41 pages • 2024
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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...
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A level Maths Verified Solutions
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A level Maths Verified Solutions 
If two lines are perpendicular, what must their gradients equal to when multiplied together? ️-1 
What is the equation to calculate the gradient of a line? ️y₂-y₁/x₂-x₁ 
What is the equation to calculate the length of a line? ️√(y₂−y₁)^2 + (x₂-x₁)^2 
What is the equation to calculate the midpoint of a line? ️(x₂+x₁) over 2 , (y₂+y₁) over 2 
What is the equation of a circle? ️x²+y²=r² 
How do you find the midpoint of...
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MATH 302 Probability (Error-free answers 100%)
- Exam (elaborations) • 6 pages • 2023
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Random Variables correct answers It is a set of possible values from a random experiment. 
 
Discrete Random Variable correct answers Variable where the number of outcomes can be counted. 
For example, the number of white balls in a sample of size three is a discrete random variable which may take one of the values 0, 1, 2, 3 
 
Continuous Random Variable correct answers is one that can take any value in an interval of the real number line, and is usually (but not always) generated by measuring...
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A-Level Mathematics Predicted Paper 2023 Edexcel Paper 3 – Statistics and Mechanics with correct marking schemes.
- Exam (elaborations) • 26 pages • 2023
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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% 
...
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Edexcel Maths A Level Pure|2023 LATEST UPDATE|GUARANTEED SUCCESS
- Exam (elaborations) • 6 pages • 2023
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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...
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