Formula sheets & recall

1MA1 · 9MA0 · 9FM0 · 8365

Edexcel · AQA

Choose your course, then separate what the exam board supplies from what you must know for the selected exam year. Flip on Test yourself to drill recall.

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Provided in the exam — do not spend revision time memorising these

Algebra and geometry on the current formula sheet

Quadratic formula Provided in the exam	$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
Circumference of a circle Provided in the exam	$C = \pi d = 2\pi r$
Area of a circle Provided in the exam	$A = \pi r^2$
Area of a trapezium Provided in the exam	$A = \dfrac{1}{2}(a+b)h$
Volume of a prism Provided in the exam	$V = \text{area of cross-section} \times \text{length}$
Pythagoras' theorem Provided in the exam	$a^2+b^2=c^2$
Right-angled trigonometry Provided in the exam	$\sin\theta=\dfrac{O}{H},\quad \cos\theta=\dfrac{A}{H},\quad \tan\theta=\dfrac{O}{A}$
Sine rule Provided in the exam	$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$
Cosine rule Provided in the exam	$a^2=b^2+c^2-2bc\cos A$
Area of a triangle Provided in the exam	$A=\dfrac{1}{2}ab\sin C$
Compound interest Provided in the exam	$\text{total accrued}=P\left(1+\dfrac{r}{100}\right)^n$

Provided in the relevant question when needed

These formulae are printed in the question that needs them; they are not on the formula sheet or in the booklet.

Provided in the relevant question

Curved surface area of a cone Provided in the relevant question	$A=\pi rl$
Surface area of a sphere Provided in the relevant question	$A=4\pi r^2$
Volume of a sphere Provided in the relevant question	$V=\dfrac{4}{3}\pi r^3$
Volume of a cone Provided in the relevant question	$V=\dfrac{1}{3}\pi r^2h$
Volume of a pyramid Provided in the relevant question	$V=\dfrac{1}{3}\times \text{area of base}\times \text{perpendicular height}$

Not provided — know these

Exact trigonometric values

sin 0°, 30°, 45°, 60°, 90° Recall	$0,\quad \dfrac{1}{2},\quad \dfrac{\sqrt{2}}{2},\quad \dfrac{\sqrt{3}}{2},\quad 1$
cos 0°, 30°, 45°, 60°, 90° Recall	$1,\quad \dfrac{\sqrt{3}}{2},\quad \dfrac{\sqrt{2}}{2},\quad \dfrac{1}{2},\quad 0$
tan 0°, 30°, 45°, 60° Recall	$0,\quad \dfrac{1}{\sqrt{3}},\quad 1,\quad \sqrt{3}\quad (\tan 90^\circ\text{ undefined})$

Mensuration not on the sheet

Area of a triangle from base and height Recall	$A=\dfrac{1}{2}bh$
Arc length Recall	$\text{arc length}=\dfrac{\theta}{360^\circ}\times 2\pi r$
Area of a sector Recall	$\text{sector area}=\dfrac{\theta}{360^\circ}\times \pi r^2$
Area of a parallelogram Recall	$A=bh$

Compound measures

Speed Recall	$\text{speed}=\dfrac{\text{distance}}{\text{time}}$
Density Recall	$\text{density}=\dfrac{\text{mass}}{\text{volume}}$
Pressure Recall	$\text{pressure}=\dfrac{\text{force}}{\text{area}}$

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