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Here are all the formulas you will ever need to revise for your Maths (Higher) exam :). Credits: https://thirdspacelearning.com/secondary-resources/gcse-maths-additional-resource-formula-booklets/?cbi=5345713919

1

Area of a rectangle

length x width

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2

Area of trapezium

1/2 x (a+b) x h

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3

Area of a parallelogram

base x height

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4

Area of a triangle

1/2 x base x height

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5

Surface Area of a Cylinder

2πr² + 2πrh

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6

Surface Area of a Cone

πrl + πr²

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7

Surface area of a sphere

4πr²

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8

Volume of a cuboid

length x width x height

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9

Volume of a prism

Area of cross section x length

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10

Volume of a cylinder

πr²h

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11

Volume of sphere

4/3 x πr³

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12

Volume of cone

1/3 x πr²h

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13

Volume of a pyramid

1/3 x area of base x height

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14

Circumference of a circle

2πr or πd

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15

Area of a circle

πr²

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16

Arc Length Formula

θ/360 x πd

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17

Arc Sector Formula

θ/360 x πr²

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18

Pythagorean Theorem

a² + b² = c²

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19

Sin ratio

opposite/hypotenuse

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20

Cos ratio

adjacent/hypotenuse

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21

Tan ratio

opposite/adjacent

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22

Abbreviation for trig ratio

SOHCAHTOA

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23

Exterior angles in a polygon

360 / number of sides

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24

Sum of interior angles

(n

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25

Speed

distance/time

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26

Mass

density x volume

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27

Force

pressure x area

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28

Gradient of a line

y2 - y1/x2-x1

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29

Equation of a line

y = mx + c

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30

Midpoint of a line

(x1+x2/2, y1+y2/2)

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31

Gradient of a line perpendicular to y = mx + c

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32

Percentage change formula

change/original x 100

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33

Compound Growth and Decay Formula

principal x (1 ± r/100)^n

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34

Pie Chart Formula

Frequency / Total x 360

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35

Quadratic Equation

ax² + bx + c

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