Question 1 a) Show that $(1-4x)^{\frac{1}{2}} = 1-2x-2x^2-4x^3+O(x^4)$. b) State the range of values of $x$ for which the expansion is valid. Show Answers b) $-\dfrac{1}{4} < x < \dfrac{1}{4}$ Question 2 a) Show that
For distinct linear factors: $\displaystyle\frac{6x}{(x-1)(x+2)} = \frac{A}{x-1} + \frac{B}{x+2}$ Multiply both sides by $(x-1)(x+2)$, then substitute $x=1$ and $x=-2$ to solve for $A$ and $B$. Worked Example $\displaystyle\frac{6x}{(x-1)(x+2)} = \frac{
What are the three types of transformations The three types of transformations are 1. Enlargements (stretch) 2. Translations (movement) 3. Reflections How can we tell if a transformation affects the x-coordinates or the y-coordinates? Transformations outside the bracket affect the y-coordinates Transformations inside the bracket affect the
Pure Maths
Straight-line graphs The equation of a straight line is always in the form y=mx+c m: the gradient c: the y-intercept To sketch a straight-line graph, draw a line through the y-intercept and the x-intercept. Circles The equation of a circle is always in
Range of a Function Question 1 Find the range for each of the following functions. a) $f(x)=x^2+1,\ x\in\mathbb{R},\ x>0$ b) $g(x)=x^2-8x+13,\ x\in\mathbb{R},\ x\geq0$ c) $h(x)=x^2+2x+2,\ x\in\
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Question 1 Question 2 Question 3 Question 4 Question 5
Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 2 June 2018 Answer Question 3 Edexcel A-Level Maths Paper 1 June 2019 Question 4 Edexcel A-Level Maths Paper 1 June 2019 Question 5 Edexcel A-Level Maths Paper 2 June
Edexcel A-Level Maths
Question 1 Edexcel A-Level Maths Paper 1 June 2018 Answer Question 2 Edexcel A-Level Maths Paper 2 June 2019 Answer Question 3 Edexcel A-Level Maths Paper 2 June 2020 Answer Question 4 Edexcel A-Level Maths Paper 1 June 2021 Question 5 Edexcel A-Level Maths Paper
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Question 1 Question 2 Question 3 Question 4 Answer (see q1) Question 5 Answer (see q2) Question 6 Answer (see q3)
Question 1 Edexcel AS-Level Maths Paper 2 June 2018 Question 2 Edexcel AS-Level Maths Paper 2 June 2019 Question 3 Edexcel AS-Level Maths Paper 2 June 2020 Question 4 Edexcel AS-Level Maths Paper 2 June 2021 Question 5 Edexcel AS-Level Maths Paper 2 June 2022
Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 1 June 2020 Question 3 Edexcel A-Level Maths Paper 2 June 2023 Question 4 Edexcel A-Level Maths Paper 2 June 2024
Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 1 June 2018 Question 3 Edexcel A-Level Maths Paper 2 June 2018 Question 4 Edexcel A-Level Maths Paper 1 June 2019 Question 5 Edexcel A-Level Maths Paper 1 June 2019