Maths Formulas T1 2023 Flashcards

1
Q

Rational Number

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Rule For Rounding To A Certain Decimal Place

A

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.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Multiplying Fractions

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

How to find the LCM on a calculator:

A
  1. Alpha, divide
  2. First number
  3. Shift, close bracket
  4. Second number
  5. Close bracket
  6. =
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Dividing Fractions

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

How to simplify a ratio

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Distance, Speed and Time Triangle

A

__________________D
S T

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Distance

A

SxT or SpeedxTime

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Speed

A

D/T or Distance over Time

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Time

A

D/S or Distance over Speed

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Principal

A

The money borrowed or invested

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Surd

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Reciprocal

A

Fraction turned upside down

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Of

A

multiplied by

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

S

A

speed

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

D

A

distance

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

T

A

time

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Sig Fig

A

Signifcant Figure

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

SF

A

Significant Figure(s)

20
Q

dp

A

decimal place(s)

21
Q

(ysf)

A

rounded to y significant figure(s)

22
Q

(ydp)

A

rounded to y decimal place(s)

23
Q

Simple Interest

A

How much is charged on the full amount

24
Q

Converting a percentage to a decimal and decimal to percentage

A

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

25
Q

Finding a percentage of a number

A

17% of 30 = 17/100 x 30

26
Q

Calculating percentage profit or loss

A

profit or loss/cost price x 100

27
Q

Calculating how much interest

A

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

28
Q

Calculating profit

A

Selling or new price - original or cost price

29
Q

Calculating Loss

A

Cost or original price - selling or new price

30
Q

The new price after a markup is calculated by…

A

selling price post markup = cost price + markup

31
Q

The new price after a discount is calculated by…

A

selling price post discount = prediscount - discount

32
Q

What is Commission?

A

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

33
Q

What is a Retainer?

A

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

34
Q

What Is time and a half?

A

Time and a half is an overtime rate

35
Q

How to calculate time and a half

A

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

36
Q

How to calculate double time…

A

Double Time = hourly rate x number of hours x 2

37
Q

Salary

A

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

38
Q

Deductions Tax

A

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.

39
Q

Taxable Income

A

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

40
Q

Gross Income

A

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

41
Q

Net Income

A

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

42
Q

P/A or p.a or pa

A

Per Annum or Per Year

43
Q

Superannuation

A

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

44
Q

Range, most reliable set of results

A

highest value - lowest value

45
Q

Mean, Average result in a set of scientific data

A

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