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