Maths Formulas Flashcards
area of a rectangle
length x width
area of a parallelogram
base x perpendicular height
area of a triangle
1/2 x base x perpendicular height
area of a trapezium
1/2(a+b) x perpendicular height
circumference of a circle
pi x diameter
area of a circle
pi x radius squared
volume of a cylinder
pi x radius squared x height
sum of interior angles
(n-2) x 180 degrees
exterior angles add up to
360 degrees
one exterior angle in a REGULAR polygon adds up to
360 degrees/n
a pair of interior and exterior angles add up to
180 degrees
volume of a cuboid
length x width x height
volume of a prism
area of cross-section x length
volume of triangular prism
1/2 x base x perpendicular height x length
volume of pyramid
1/3 x area of base x height
interior angles in a triangle add up to
180 degrees
interior angles in a quadrilateral add up to
360 degrees
interior angles in a pentagon add up to
540 degrees
interior angles in a hexagon add up to
720 degrees
interior angles in an octagon add up to
1080 degrees
constructing pie charts
angle = frequency/total x 360 degrees
Z-angles
Alternate angles are equal
F-angles
Corresponding angles are equal
C-angles
Co-interior angles add to 180 degrees
pythagoras theorem
a squared + b squared = c squared
trigonometry (sin)
sin(x) = opp/hyp
trigonometry (cos)
cos(x) = adj/hyp
trigonometry (tan)
tan(x) = opp/adj
speed = distance/time
D
S T
density = mass/volume
M
D V
area of a sector
theta/360 degrees x pi x radius squared
length of an arc
theta/360 degrees x pi x diameter
sine rule
a/sin A , b/sin B , c/sin C
cosine rule
a squared = b squared + c squared - 2bc cosA
area of a triangle ( trigonometric formulae)
1/2absinC
gradient of a line
m = y squared - y 1/ x squared - x 1
midpoint of two points
(x 1 + x 2/2, y 1 + y 2 /2)
compound growth and decay
p x (1+ r/100)
-
percentage increase or decrease
new - original/original x 100
quadratic formula
x + -b square (plus or minus) squared root b squared - 4(a)(c)/2 (a)
equation of straight line
y = mx + c
perpendicular gradient
-1/m
frequency polygons
plot the midpoint and the frequency
comparing datasets
comment on the median or mean and the IQR or range
