Basic formulae to know Flashcards
What is the equation for a straight line graph?
y=mx+c
What is 12²?
144
What is 13²?
169
What is 14²?
196
What is 15²?
225
What is 1.2²?
1.44
What is 1.3²?
1.69
What is 1.4²?
1.96
What is 1.5²?
2.25
What is √2?
1.41
What is √3?
1.73
What is √pi?
1.77
What is the area of a non-right-angled triangle?
1/2 ab sinC
What is the area of a right angled triangle?
1/2 b x h
What is the area of a circle?
πr²
What is the circumference of a circle?
2πr²
What is the volume of a cube with sides of length a?
a³
What is the area of a trapezium? (top side length a, bottom side length b, left side c, right side d)
(a+b)
——- h
2
What is the area of a parallelogram?
b x h
What is the volume of a sphere?
4/3 πr²
What is the volume of a cylinder?
πr² x l
What is the volume of a cone?
1/3 πr² h
What is the curved surface of the cone?
πrL
where L is the length of the curved surface
What is the volume of a square based pyramid?
1/3 × (w x d) × h
What is the formula for a reciprocal curve on a graph?
y = 1/x
a^0 = ?
1
a^1 = ?
a
a^m x a^n = ?
a^(m+n)
a^m / a^n = ?
a^(m-n)
(a^m)^n
a^mn
a^(1/n)
^n√a
What is the inverse of the exponential function?
The logarithmic function is the inverse of the exponential function.
Through what line on a graph does the exponential function reflect into the logarithmic function?
The logarithmic and exponential functions are reflections through the line y=x
log(base a)a =
log(base a)a = 1
log(base a)m^k
klog(base a)m
log(base a)(MN)
log(base a)M + log(base a)N
log(base a)(M/N)
log(base a)M - log(base a)N
10^(log(base10)^m
m
What is the dependent variable?
The dependent variable is the one you measure
What is the independent variable?
The independent variable is the one you change
What is a nominal variable?
Nominal variables have a type. (eg hair colour)
What is a dichotomous variable?
Dichotomous variable has only two types. (eg yes or no, males vs females)
What is an ordinal variable?
An ordinal variable is a categorical variable that has order
What is an interval variable?
Variables with a set number difference between them
What is a ratio variable?
Continuous numerical values but where 0 means there is none (eg height, mass or distance)
What are controlled variables?
Quantities that are kept constant.
