Maths/Physics Flashcards
Multiply decimals
Total number of decimal points in all numbers. Multiply as whole numbers then insert decimal point to match total.
Find a% of b
(a x b)/100
Express 0.000a as a fraction
a/10000
Express 0.aaaaa etc as a fraction
a/9
Express 0.ababab etc as a fraction
ab/99
Convert a/b into a percentage
a/b x 100/1 = (100a)/b%
Convert a% into a fraction
a/100
Convert 0.a into a percentage
0.a x 100 = a0%
Convert a% into a decimal
a/100 = 0.0a
What is a HCF?
Highest Common Factor; highest numeral both numbers will divide into
What is a LCM?
Lowest Common Multiple; the lowest numeral both numbers will multiply into
What are Prime Factors?
The smallest prime numerals that can be multiplied together to make the number. e.g 2x2x2x3=24
Use Prime Factors to calculate HCF of A=axaxb and B=axbxc
HCF=axb (multiply together those that appear in both)
Use Prime Factors to calculate LCM of A=axaxb and B=axbxc
LCM=axaxbxc (multiply together the most frequent of each prime factor)
na x nb =
na+b
na ÷ nb =
na-b
(na)b =
naxb
+/- numbers in standard index form
convert to ordinary number, calculate, convert back to standard form
x/÷ numbers in standard index form
x/÷ numbers then apply indices rule to get the power of 10
n0 =
1
n1/a =
a/—n
n-a =
1/na
Circumference formula?
C=2πr
or
C=2d
Area of a circle formula?
A = πr2
Area of a sector?
Area of sector = Area of circle x sector angle ÷ 360
Perimeter of sector?
Perimeter of sector = (C x sector angle) ÷ 360 + 2r
Length of arc?
= πd x sector angle ÷ 360
Pythagorus theorum?
a2 + b2 = c2
where c is the longest side
Sin, Cos and Tan in terms of opposite, adjacent and hypotenuse?
Sin = O/H
Cos = A/H
Tan = O/A
1NM in feet?
6080ft
6080ft = 1?
NM
1km in feet?
3280ft
3280ft = 1?
km
1 statute mile in feet
5280ft
5280ft = 1?
Statute mile
°C to °F conversion
°C x 1.8 + 32 = °F
Kg → Lb
x 2.2
US Gallons → Litres
x 3.8
Imperial gallon → Kg
(Jet A1 Fuel)
x 3.6
Imperial gallons → Litres
(Jet A1 Fuel)
x 4.5
Litres → Lbs
(Jet A1 Fuel)
x 1.76
hPa → inHg
x 0.0295
Mega = 1 x 10?
6
Kilo = 1 x 10?
3
Centi = 1 x 10?
-2
Milli = 1 x 10?
-3
Thermal Radiation and _______ Radiation are the same thing. They are both forms of _______ radiation.
Infrared
Electromagnetic
Absorbing/emitting radiation:
matt/dark ______
shiny/light______
good
bad
1 Hz = 1 wave per _______
Second
Wave speed formula?
v = wavelength x frequency
Angle of reflection = ?
Angle of incidence
A wave hitting a denser material will defract ______ the normal.
Towards
A wave hitting a less dense material will defract ______ the normal
Away from
What is potential difference in terms of current and resistence?
V = IR
What is power in terms of current and potential difference?
P = IV
What is power in terms of current and resistance?
P = I2R