Montfort Sec O:N Level E.Math Formula Sheet 2025.pdf

Mathematical Formulae Compound interest: Total amount = 1100 n rP Mensuration Curved surface area of a cone = rl Surface area of a sphere = 4 2r Volume of a cone = hr2 3 1  Volume of a sphere = 3 3 4 r Area of triangle ABC = 1sin2ab C Arc length =r, where θ is in radians Sector area = 2 2 1 r , where θ is in radian Trigonometry C c B b A a sinsinsin  Abccba cos2222  Statistics Mean = 12 ...nxx xfx fn   Standard deviation = 22          f fx f fx Simple Interest: 100 PRTI  total amount, A = P + I Curved SA of cylinder 2rh Volume of a pyramid 1base area height3  Cosine Rule 222 cos 2 bcaA bc  __ :s um of :f r e quency :me a n , f fx xf    Indices       0 1 1 if , then mn m n mn m n n n mnmmm n nn n nn m n n n n aaa a aaa a a aa a a ab a b a a m n aa b b            Coordinate Geometry     22 12 21 12 12 12 21 Length of line segment Gradient of line = = yy y yxx yy xx x x     Equation of line x-intercept : 0 y-intercept : 0 y ym x c x     Parallel lines must always have the same gradient and the lines never meet or intersect one another Area of Trapezium 1sum of parallel sides height2  Area of Parallelogram base height Area of Circle 2r Circumference of Circle2 or rd Arc length of a sector 2 360 r   Area of a sector 2 360 r   :d e grees Trigonometry TOA: tan opp adj  opp, b hyp, c CAH: cos adj hyp  SOH: sin opp hyp  Pythagoras’ Theorem: 22 2ca b  adj, a Geometric reasons for lines/angles 1)( on a st. line) 2)( at a point) 3)( sum of ) 4)(alt , // sides) 5)(corr. ,// sides) 6)(base s of isos ) 7)(equilateral ) 8)( at centre = twice at circumference) 9)( in a semicircle = 90 ) 10)(            in the same segment) 11)( in opp. segment) 12)(tangent radius) 13)(tangents from an ext. point) 14)( from centre bisects chord) 15)(equal chords are equidistant from centre)     Polygons Sum of interior angles in a polygon: (2 ) 1 8 0n  For a regular polygon, each interior angle: ( 2) 180n n  Sum of exterior angles: 360 For a regular polygon, each exterior angle: 360 n  Gene