Formulas Flashcards
How do you calculate the median?
n+1 / 2
How do you calculate the Lower Quartile?
n+1 / 4
How do you calculate Upper Quartile?
3(n+1) / 4
How do you calculate Frequency Density?
Frequency / Class Width
How do you calculate Inter Quartile Range?
Upper Quartile - Lower Quartile
What is the Cosine Rule?
a²= b² + c² - 2bc Cos A
What is the Sine rule for Angles?
sinA / a = sinB / b = sinC / c
What is the Sine rule for Sides?
a / sinA = b / sinB = c / sinC
How do you calculate Non-right angle triangles?
Area = 1/2 a b sinC (But can be anything exp. 1/2 c b sinA)
What does A n B?
A and B
What does A u B mean?
A or B
What does A’ mean?
Not A
What does a closed (coloured) circle and open circle mean in inequalities?
Closed - ≤ or ≥
Open - < or >
What is the equation for completing a square?
(x + a)² + b
How do you calculate the turning point and the coordinates of that?
(x + a)² - b –> (-a , b)
How do you complete the square when the co-efficent is x² ?
a(x + b)² + c
What is the quadratic formula?
x = −b ± √(b2 − 4ac) / 2a
X^1/n
n^√x
X^-n
1/X^n
√a x √b =
√a x b
- 3√2 x 3√2 =
2. √8 + √18
- 9√4 = 9 x 2
2. √4√2 + √9+√2 = 5√2
How do you find the Nth Term of a Geometric sequence?
Un = a x r ^ n-1
Find the Arithmetic proggression of u1, u2, u3
u2 - u1 = u3 - u2
Find the Geometric proggression of u1, u2, u3?
u2/u1 = u3/u2
How do you find the Nth term of a geometric sequence?
Un = a (first number) x r (commen ratio) ^n-1
How do you find the Nth term of a Quadratic Sequence?
- 2 difference/2 to find Xn^2
- Then put in a table n^2, term and need.
- Then see what it times up and pluses and minuses to get the times.
What is a frequency polygon?
Line graph
How do you calculate percentage change?
Actual Change / Original Amount x 100
How do you calculate exterior angles of a Polygon?
360/number of lengths
Hiw do you calculate the Distance between Two Cooridnates?
√(x2 - x1)^2 + (y2 - y1)^2
How do you calculate the Area of a Sector?
angle/360 x πr²
How do you calculate the Arc length?
Angles/360 x 2πr
How do you find the mid-point between two lines?
MP = y2 - y1 / x2 - x1
What is the perpendicular graident to a parrelle line?
Negative Recipricle
What is the formula for Circle Graphs?
x^2 + y^2 = radius^2
What is the form of Cubic Graphs?
y = ax³ + bx² + cx + d
What form do Quadratic Graphs take?
y = ax² + bx + c
