UPPER SECONDARY SCHOOL CERTIFICATE EXAMINATIONS
FORMULAE SHEET FOR GENERAL MATHEMATICS
MENSURATION
Arc Length L = θ
360 2πr
Area of Sector A = θ
360 πr2
Surface Area of Cylinder A = 2πr2 + 2πrh
Surface Area of Sphere A = 4πr2
Curved Surface Area of Cone A = πrL
Volume of Sphe re V = 4
3 πr3
Interior Angles of Polygon Sn = (n – 2) × 180°
INTEREST
Compound Interest A = P( )
1 + r
100
n
ALGEBRA
Quadratic Formula x = –b ± b2 – 4ac
2a
ANALYTIC GEOMETR Y
Distance between d = (x2 – x1)2 + (y2 – y1)2
two points
Mid-point of Interval ( )
x1 + x2
2 ,
y1 + y2
2
Gradient of a Line
y2 – y1
x2 – x1 = m = tan θ
TRIGONOMETR Y
Sine Rule a
sin A = b
sin B = c
sin C
Cosine Rule c2 = a2 + b2 – 2ab cos C
Area of Triangle A = 1
2 ab sin C
Conversion πc = 180°
Arc Length L = rθc
Area of Sector A = 1
2 r2θc
Area of Minor Segment A = 1
2 r2(θc – sin θc)
