Formulae Flashcards
Rectangle area
Rectangle = l x w
Parallelogram area
Parallelogram = b x h
Triangle area
Triangle = 1/2b x h
Trapezium area
1/2(a + b)h
Cuboid volume
Cuboid = l x w x h
Prism volume
Area of cross section x length
Cylinder volume
Cylinder = πr^2h
Pyramid volume
Volume of pyramid = 1/3 x area of base x h
Speed (compound measure)
Speed = distance/time
Density (compound measures)
Density = mass/volume
Circumference of a circle
Circumference = π × diameter, C = πd Circumference = 2 × π × radius, C = 2πr
Area of a circle
Area of a circle = π x radius squared, A = πr^2
Sine rule (trigonometric formulae)
Sine Rule = a/sin (A) = b/sin (B) = c/sin(C)
Cosine rule (trigonometric formulae)
Cosine Rule: a^2 = b^2 + c^2 - 2bc cos (A)
Area of triangle (trigonometric formulae)
Area of triangle = 1/2 ab sin (C)
Pythagoras’ theorem
For a right-angled triangle, a^2 +b^2 =c^2
Trigonometric ratios
sin x degrees = opp/hyp , cos x degrees = adj/hyp , tan x degrees = opp/adj
The quadratic equation
The solutions of ax2 + bx + c = 0,
where a ≠ 0, are given by x = -b±√(b^2-4ac)/2a
Perfect square form
(x + p)^2 + q
Rule for sin with exact trigonometry values
√above / 2
Rule for cos with exact trigonometry values
√below / 2
Rule for tan with exact trigonometry values
√above / √below
Numbers used for exact trigonometry values
0, 30, 45, 60, 90
Surface area of a cylinder
πdh + 2πr^2
Frequency density
Frequency density = frequency / class width
Axis in histogram
X-axis = class width Y-axis = frequency density Area = frequency
Compound interest
Total = original amount x (1 + multiplier)^time
SFL =
SFA =
SFV =
SFL = k SFA = k^2 SFV = k^3
