Math Formula

arithmetic nth term

a + (n-1)d

Quadratic nth term

an² + bn + c

Simple interest

P x R% x T

Compound Interest

P(1 + r/100)ⁿ

Quadratic equations (2)

ax² + bx + c ,

x = -b + or - √b² - 4ac/ 2a

Area of circle

πr²

area of triangle

1/2absin∅

1/2bh

area of kite

d1 + d2/ 2

area of parallelogram

b x h

Volume of a cylinder

πr²h

volume of sphere

4/3 x πr³

volume of triangular prism

1/3 x base area x h

volume of cone

1/3 x πr² x h

Surface area of cylinder curve

2πrh

surface are of cone curve

πrl

surface area of sphere

4πr²

area of sector

∅/360 x πr²

area of arc in sector

∅/360 x 2πr

circle perimeter

2πr

sum of interior angles in a polygon

(n - 2) x 180

Pythagoras Theorum

a² + b² = c²

similarity of a quadrilateral

area ABCD/ area PQRS = AB² / PQ²

similarity in a cylinder for volume

V1 / V2 = R1³ / R2³

Congruence tests (4)

SSS: side side side test, RHS: right angled hypotenuse test, SAS: side angle side test, SAA: side angle angle test

Trig

SOH CAH TOA

Sine rule

a/ Sin A = b/ Sin B = c/ Sin C

Cosine rule

a² = b² + c² - (2bc x cos A)

Gradient in graphs

y2 - y1 / x2 - x1

Equation of a line

y = mx + c

Histograms

frequency density = frequency / class width

Mode

most occurring data point

range

highest value - lowest value

Cumulative frequency

Q1 = (n/4)th value

Q2 = (n/2)th value

Q3 = (3N/4)th value