Maths Formulas T1 2023

Question 1

Rational Number

Answer 1

They are terminating decimals (eg. 1.5, 1.59, 1.09, 1.0) or recurring decimals that have a consistent pattern (eg. 6.3333…)

Question 2

Rule For Rounding To A Certain Decimal Place

Answer 2

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.

Question 3

Multiplying Fractions

Answer 3

2/5 x 3/7 = 2x3/5x7 = 6/35

Question 4

How to find the LCM on a calculator:

Answer 4

1. Alpha, divide
2. First number
3. Shift, close bracket
4. Second number
5. Close bracket
6. =

Question 5

Dividing Fractions

Answer 5

Multiply by the reciprocal…
a/b divided by c/d = a/b x d/c

Question 6

How to simplify a ratio

Answer 6

Divide both side by their HCF
8:12
divide both sides by 4…
2:3

Question 7

Distance, Speed and Time Triangle

Answer 7

__________________D
S T

Question 8

Distance

Answer 8

SxT or SpeedxTime

Question 9

Speed

Answer 9

D/T or Distance over Time

Question 10

Time

Answer 10

D/S or Distance over Speed

Question 11

Principal

Answer 11

The money borrowed or invested

Question 12

Surd

Answer 12

A square root that cannot be further simplified (eg. the square root of 2, 3, 5 BUT NOT 9)

Question 13

Reciprocal

Answer 13

Fraction turned upside down

Question 14

Of

Answer 14

multiplied by

Question 15

S

Answer 15

speed

Question 16

D

Answer 16

distance

Question 17

T

Answer 17

time

Question 18

Sig Fig

Answer 18

Signifcant Figure

Question 19

SF

Answer 19

Significant Figure(s)

Question 20

dp

Answer 20

decimal place(s)

Question 21

(ysf)

Answer 21

rounded to y significant figure(s)

Question 22

(ydp)

Answer 22

rounded to y decimal place(s)

Question 23

Simple Interest

Answer 23

How much is charged on the full amount

Question 24

Converting a percentage to a decimal and decimal to percentage

Answer 24

Percentage –> Fraction = divide by 100
Fraction –> Percentage = multiply by 100

Question 25

Finding a percentage of a number

Answer 25

17% of 30 = 17/100 x 30

Question 26

Calculating percentage profit or loss

Answer 26

profit or loss/cost price x 100

Question 27

Calculating how much interest

Answer 27

I=PRN or Principal x Rate of Intrest x Number of time periods

Question 28

Calculating profit

Answer 28

Selling or new price - original or cost price

Question 29

Calculating Loss

Answer 29

Cost or original price - selling or new price

Question 30

The new price after a markup is calculated by...

Answer 30

selling price post markup = cost price + markup

Question 31

The new price after a discount is calculated by...

Answer 31

selling price post discount = prediscount - discount

Question 32

What is Commission?

Answer 32

The percentage or amount of your sales that your employer allows you to take home or put in your bank account

Question 33

What is a Retainer?

Answer 33

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

Question 34

What Is time and a half?

Answer 34

Time and a half is an overtime rate

Question 35

How to calculate time and a half

Answer 35

time and a half = hourly rate x number of hours x 1.5

Question 36

How to calculate double time...

Answer 36

Double Time = hourly rate x number of hours x 2

Question 37

Salary

Answer 37

A set amount of money that someone is paid per year, often split up into monthly, weekly, fortightly or daily payments.

Question 38

Deductions Tax

Answer 38

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.

Question 39

Taxable Income

Answer 39

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

Question 40

Gross Income

Answer 40

total/overall income often represented by what you earn per year

Question 41

Net Income

Answer 41

Net income = Gross income - tax deductions, superannuation and taxes

Question 42

P/A or p.a or pa

Answer 42

Per Annum or Per Year

Question 43

Superannuation

Answer 43

the money you are required to set aside per year that you may access when you reach retirement

Question 44

Range, most reliable set of results

Answer 44

highest value - lowest value

Question 45

Mean, Average result in a set of scientific data

Answer 45

add all the numbers together and divide that by how many numbers there are