Mathematical Literacy Formula Sheet

advertisement
Mathematical Literacy Formula Sheet
Formulas / Rules that I must know (It won’t be given)
Topic
Finance / Proportion
Finance / Proportion
Finance / Proportion
Finance / Percentages
Finance
Finance
Finance / graph
Finance (Interest)
Finance (Interest)
Finance (Loans)
Finance (Tax)
Finance (Tax) (Gr.12)
Finance (Tax) (Gr.12)
Finance / Lin graph
Formula / Rule
VAT is 14%
If an amount includes VAT, it is 114% of the amount
If an amount excludes VAT, it is 100% of the amount
The original / 1st amount is always 100%
Profit / Loss = Income – Expenses
Selling price = cost price + profit
At the break-even point: cost = income
Simple Interest = principle amount  interest rate  no. of years
Total amount = principle amount + interest
Compound Interest: Do calculation each year (same as simple
interest method) but start each new year with the previous
year’s total amount and calculate interest on that larger total
amount
Interest = Final amount – principle amount
Real cost = monthly repayment  no. of payments made
UIF is 1% of the gross salary
Taxable Income = Gross Income – Taxable Deductions
Net Income = Gross Income – ALL Deductions on salary slip
How to find the formula, e.g. copier example
C = fixed fee + no. of copies  price per copy
However, if you get e.g. 800 free copies, then the formula is:
Copies 800 or less: C = 5 000 (if they pay a fixed fee of R5 000 per
month)
More than 800 copies: C = 5 000 + (n – 800)  price per copy
Topic
Rates / Proportion
Rates
Formula / Rule
Fuel consumption, e.g. 13L/km, then make a triangle to find your
own formula or use direct proportion, e.g.
13L
1km
?
60km
13 ÷1  60 = …
Remember “per” means ÷, so you can make your own formula.
E.g. R/kg: R/kg = money (R) ÷ mass (kg)
Topic
Data Handling
Data Handling
Formula / Rule
Mean = sum of all data items ÷ no. of data items
Median = no. in the middle if data is organised in ascending
order. (Two numbers in middle: add together, =; ÷ 2 =)
Mode = data item that occurs the most
Range = largest value – smallest value
Pie Chart:
Data Handling
Data Handling
Data Handling
what is as ked
 360
total
what is as ked
Percentage =
 100
total
what is asked()
Amount asked =
 total
360
No. of degree =
Data Handling (Gr.12)
Inter-quartile range = upper quartile – lower quartile
Topic
2D3D (Pyth)
2D3D (Pyth)
Scales
Scales
Formula / Rule
a 2 = b 2 + c2
a 2 = b 2 – c2
D(map) = D(real) ÷ Scale (remember to convert)
D(real) = D(map)  Scale (remember to convert)
Formulas / Rules that will be GIVEN
Topic
Finance
(Gr.12)
Finance
Finance
Finance
Formula / Rule
Income Tax Table; rebates; tax threshold and medical tax
credits table
Vehicle Running costs = (A  petrol price(R)) + B + C
Vehicle Operating Costs = fixed costs + running costs
Monthly LOAN repayment = loan amount ÷ 1 000  loan
factor
Given
in P1
Given
in P2
yes
yes
yes
yes
yes
yes
yes
yes
Finance
Inflation =
(new index  old index)
 100
old index
yes
yes
Data H
Box-and-whisker plot (You won’t have to draw it)
yes
yes
yes
yes
yes
yes
yes
yes
yes
yes
yes
yes
no
maybe
Rate
Rate
Conversion
2D
2D
2D
BMI =
mas s (kg)
(heightinm)2
Speed (km/h) = Distance (km) ÷ Time (h)
Temperature formula
Circumference of circle
Perimeter of square, rectangle and triangle
Area of square, rectangle, triangle and circle
Download
Study collections