Formulae Flashcards
Sum of interior angles
180x(n-2)
Area of rectangle
bh
Area of triangle
1/2 bh
Area of parallelogram
bh
Area of trapezium
1/2(a+b)h
Surface area of cuboid
Sum of all faces
Volume of a prism
Cross section x length
Circle circumference
π x d
Area of a circle
πr^2
Length of an arc
(sector angle / 360) x 2πr
Sector area
(sector angle / 360) x πr^2
Curved surface area of cylinder
2πrh
Volume of a cylinder
πr^2h
Volume of a cone
1/3πr^2h
Curved surface area of cone
πrl
Volume of sphere
4/3πr^3
Surface area of sphere
4πr^2
Hypotenuse of a right angled triangle (Pythagoras’ Theorem)
a^2 + b^2 = c^2
Distance between points
root of ((x2 - x1)^2 + (y2 - y1))
sine 0️⃣
opposite / hypotenuse
cos 0️⃣
adjacent / hypotenuse
tan 0️⃣
opposite / adjacent
opposite =
sin x hypotenuse
adjacent =
cos x hypotenuse
hypotenuse =
adjacent x tan
AX x BX =
CX x DX
Median position
(n+1) / 2
Frequency density =
frequency / class width
Lower quartile position
1/4(n+1)
Upper quartile position
1/4(n+1)
Interquartile range
upper - lower
Probability
number of favourable outcomes / total number of possible outcomes
P(a does not happen)
P(a or b) = P(a) + P(b)
Average speed
total distance / total time
Density
mass / volume
Perfect square
x^2 + 2ax + a^2 = (x+a)^2
Completing the square
(x+a)^2 + b
Quadratic equation formula
x = (-b +or- root of b^2 - 4ac) / 2a
Sine rule
a/sinA = b/sinB and flipped
Cosine rule
a^2 = b^2 + c^2 - 2bc cosA
cosA = (b^2 + c^2 - a^2) / 2bc
Area of a triangle using trigonometry
1/2ab sinC
Freebie
Wheeeeee