A-Level Maths
To differentiate $y = ax^n$: multiply the coefficient by the power and subtract one from the power, giving $\displaystyle\frac{dy}{dx} = nax^{n-1}$. Question 1 Differentiate the following expressions with respect to $x$. a) $y = x^6 - 7x^2$ b) $y = 1 - 6x^{\frac{5}{2}}$ c)
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Question 1 $(a + b)^n = a^n + \dbinom{n}{1}a^{n-1}b + \cdots + \dbinom{n}{r}a^{n-r}b^r + \cdots + b^n$ Find the first four terms in the expansion in ascending powers of $x$ of (a) $(1 + x)^{10}$ (b) $(1 + 2x)^8$ (c) $\left(1 -
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Edexcel A-Level Maths June 2025 * Edexcel A-Level Maths Paper 1 June 2025 | Mark Scheme | Video Answers * Edexcel A-Level Maths Paper 2 June 2025 | Mark Scheme | Video Answers * Edexcel A-Level Maths Paper 3a June 2025 | Mark Scheme | Video Answers * Edexcel A-Level Maths Paper 3b June 2025 | Mark Scheme | Video Answers Edexcel
A-Level Maths
Key Reference Corresponding values $\sin^{-1}(x)$ — use $180 - \text{ans}$ for the second solution $\cos^{-1}(x)$ — use $360 - \text{ans}$ for the second solution $\tan^{-1}(x)$ — use $\text{ans} + 180$ for the second solution For all: after finding two consecutive values, keep adding or subtracting
A-Level Maths
Key Formulae $\displaystyle\int e^{kx}\,dx = \frac{1}{k}e^{kx} + c$ $\displaystyle\int \sin(kx)\,dx = -\frac{1}{k}\cos(kx) + c$ $\displaystyle\int \cos(kx)\,dx = \frac{1}{k}\sin(kx) + c$ $\displaystyle\int \frac{1}{kx+c}\,dx = \frac{1}{k}\ln|kx+c| + C$
A-Level Maths
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A-Level Maths
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A-Level Maths
What does P(A) mean? P(A) is the probability of A happening What does P(A') mean? P(A') is the probability of A not happening What does P(A∩B) mean? P(A∩B) is the probability of A and B happening What does P(AUB)
A-Level Maths
Factorising Quadratics Question 1 Factorise (a) $x^2 + 4x + 3$ (b) $x^2 + 7x + 10$ (c) $y^2 - 3y + 2$ (d) $x^2 - 6x + 9$ (e) $y^2 - y - 2$ (f) $a^2 + 2a - 8$ (g) $x^2 - 1$ (h) $p^2 + 9p + 14$
A-Level Maths
Co-ordinates Gradient — $m = \dfrac{y_2 - y_1}{x_2 - x_1}$ Question 1 Find the gradient of the line segment joining each pair of points. (a) $(3, 1)$ and $(5, 5)$ (b) $(4, 7)$ and $(10, 9)$ (c) $(6, 1)$ and $(2, 5)$ (d) $(-2, 2)$ and
A-Level Maths
Sketching straight line graphs 1. find the y-intercept 2. find the x-intercept 3. draw a straight line through two points Sketching circles 1. find the centre 2. find the radius 3. label a few points around the circle 4. sketch the circle Sketching quadratics Question 1 Question 2 Question 3
A-Level Maths
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