Formulas Flashcards
Area of a parallelogram
base (b) x height (h)
Area of a triangle
½ base (b) x height (h)
Area of a trapezium
½ (a + b) x height (h)
‘a’ and ‘b’ are the parallel lines
Volume of a cuboid
length (l) x width (w) x height (h)
Volume of a prism
Area of cross section x length (l)
Circumference of a circle
π x diameter (d)
OR
π x (2 x radius (r))
Area of a circle
π x radius (r)²
Gradient of a line (graphs)
(y² - y¹) ÷ (x² - x¹)
OR
Base (b) ÷ height (h)
Pythagoras Theorum
a² + b² = c²
Speed, Distance & Time equation
Speed = Distance / Time
Density, Mass & Volume Equation
Density = Mass / Volume
Trigonometric Ratios
sin x = opp / hyp
cos x = adj / hyp
tan x = opp / adj
opp = opposite hypotenuse
adj = adjacent hypotenuse
hyp = hypotenuse
Trigonometric Ratios
sin x = opp / hyp
cos x = adj / hyp
tan x = opp / adj
opp = oposite
adj = adjacent
hyp = hypotensues
Equation for calculating the angles for each sector in a pie chart
Angle = (Frequency / Total) x 360
Area of a sector
A = (θ / 360) x (πr²)
r = radius
Length of an Arc
A = (θ / 360) x (π x d)
d = diameter
Lowest Common Multiple
(a x b) / HCF
a and b are the two numbers you’re finding the LCM of
Stratified Sample
(frequency of group / total frequency) * sample size
Length of diagonal across a cuboid
d² = a² + b² + c²
a= length
b= width
c= height
Gradient of a line
m = (y₂ - y₁) / (x₂ - x₁)
or
m = height / base
Perpendicular gradients
Given the gradient of a line (m), the gradient of the perpendicular line is - 1/m (as a fraction)
Exterior Angles in Polygons total
360
One Exterior Angle in a Regular Polygon
360 / n
n = number of sides
Sum of Interior Angles in a Regular Polygon
(n - 2) x 180
n = number of sides
What do pairs of interior and exterior angles add up to with polygons?
180
Median from a Frequency/Histogram table
L + ((m + p) / f) x w
L = Lower limit of median class
M = Median point
P = Total frequency of previous bars
F = Frequency of median class
W = Class width of median class
