Maths Formulas T1 2023 Flashcards
Rational Number
They are terminating decimals (eg. 1.5, 1.59, 1.09, 1.0) or recurring decimals that have a consistent pattern (eg. 6.3333…)
Rule For Rounding To A Certain Decimal Place
If the number right of it is below 5 it stays the same, if the number right of it is 5 or above it goes up by 1. If a 9 has a number that is above 4 next to it, the pre decimal number will go up by one and the decimal place will be 0.
Multiplying Fractions
2/5 x 3/7 = 2x3/5x7 = 6/35
How to find the LCM on a calculator:
- Alpha, divide
- First number
- Shift, close bracket
- Second number
- Close bracket
- =
Dividing Fractions
Multiply by the reciprocal…
a/b divided by c/d = a/b x d/c
How to simplify a ratio
Divide both side by their HCF
8:12
divide both sides by 4…
2:3
Distance, Speed and Time Triangle
__________________D
S T
Distance
SxT or SpeedxTime
Speed
D/T or Distance over Time
Time
D/S or Distance over Speed
Principal
The money borrowed or invested
Surd
A square root that cannot be further simplified (eg. the square root of 2, 3, 5 BUT NOT 9)
Reciprocal
Fraction turned upside down
Of
multiplied by
S
speed
D
distance
T
time
Sig Fig
Signifcant Figure
SF
Significant Figure(s)
dp
decimal place(s)
(ysf)
rounded to y significant figure(s)
(ydp)
rounded to y decimal place(s)
Simple Interest
How much is charged on the full amount
Converting a percentage to a decimal and decimal to percentage
Percentage –> Fraction = divide by 100
Fraction –> Percentage = multiply by 100
Finding a percentage of a number
17% of 30 = 17/100 x 30
Calculating percentage profit or loss
profit or loss/cost price x 100
Calculating how much interest
I=PRN or Principal x Rate of Intrest x Number of time periods
Calculating profit
Selling or new price - original or cost price
Calculating Loss
Cost or original price - selling or new price
The new price after a markup is calculated by…
selling price post markup = cost price + markup
The new price after a discount is calculated by…
selling price post discount = prediscount - discount
What is Commission?
The percentage or amount of your sales that your employer allows you to take home or put in your bank account
What is a Retainer?
A set amount that you are always paid in addition to your commission, even if you make no sales you are still paid your retainer
What Is time and a half?
Time and a half is an overtime rate
How to calculate time and a half
time and a half = hourly rate x number of hours x 1.5
How to calculate double time…
Double Time = hourly rate x number of hours x 2
Salary
A set amount of money that someone is paid per year, often split up into monthly, weekly, fortightly or daily payments.
Deductions Tax
The money that you are able to deduct from how much you pay in taxes because you have claimed it on work related expenses, family tax benefits etc.
Taxable Income
The annual income that you state in your taxes to the government so that money can be taxed from that amount.
Gross Income - Tax Deductions
Gross Income
total/overall income often represented by what you earn per year
Net Income
Net income = Gross income - tax deductions, superannuation and taxes
P/A or p.a or pa
Per Annum or Per Year
Superannuation
the money you are required to set aside per year that you may access when you reach retirement
Range, most reliable set of results
highest value - lowest value
Mean, Average result in a set of scientific data
add all the numbers together and divide that by how many numbers there are
