Mathematical Literacy Formula Sheet - Worcester Gymnasium

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

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Finance

Inflation =

(new index  old index)  100 old index

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Data H

Box-and-whisker plot (You won’t have to draw it)

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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