List of formulae
and statistical
tables
, PURE MATHEMATICS
Mensuration
Volume of sphere = 43πr3
Surface area of sphere = 4πr2
Volume of cone or pyramid = ×base area×height
Area of curved surface of cone = πr×slant height
Arc length of circle = rθ (θin radians)
Area of sector of circle = 12 r2θ (θin radians)
Algebra
For the quadratic equation ax2 + + =bx c 0:
−
x = b± b − 4ac
2
2a
For an arithmetic series:
un = +a(n −1)d , Sn = 12 n a( + =l)12 n{2a + (n −1) }d
For a geometric series:
un = arn−1, Sn = a(11−−rrn) (r ≠1) , S∞ = 1−ar ( r <1 ) Binomial series:
(a +b)n = +an n an−1b+ n an−2 2b + n an−3 3b + + bn , where n is a positive
integer
1 2 3
n = n!
and r r n!( − r)!
(1+ x)n = + +1 nx n n( −1) x2 + n n( −1)(n − 2) x3 +, where
n is rational and x <1
2
and statistical
tables
, PURE MATHEMATICS
Mensuration
Volume of sphere = 43πr3
Surface area of sphere = 4πr2
Volume of cone or pyramid = ×base area×height
Area of curved surface of cone = πr×slant height
Arc length of circle = rθ (θin radians)
Area of sector of circle = 12 r2θ (θin radians)
Algebra
For the quadratic equation ax2 + + =bx c 0:
−
x = b± b − 4ac
2
2a
For an arithmetic series:
un = +a(n −1)d , Sn = 12 n a( + =l)12 n{2a + (n −1) }d
For a geometric series:
un = arn−1, Sn = a(11−−rrn) (r ≠1) , S∞ = 1−ar ( r <1 ) Binomial series:
(a +b)n = +an n an−1b+ n an−2 2b + n an−3 3b + + bn , where n is a positive
integer
1 2 3
n = n!
and r r n!( − r)!
(1+ x)n = + +1 nx n n( −1) x2 + n n( −1)(n − 2) x3 +, where
n is rational and x <1
2
