Free QCE Year 11 General Mathematics Flashcard Review
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What is a percentage?
A rate out of 100; e.g. 12% = 12/100 = 0.12.
How do you convert an annual salary to fortnightly pay?
Divide by 26.
What is time-and-a-half?
Overtime paid at 1.5 times the normal hourly rate.
Weekly pay: retainer $300 plus 5% commission on $10 000 sales?
300 + 0.05 × 10 000 = $800.
What does an income test do?
Reduces a government payment by a set amount per dollar of income above a threshold.
Fixed vs discretionary expense?
Fixed: same each period (rent). Discretionary: chosen and adjustable (entertainment).
Formula for unit cost?
Unit cost = price ÷ quantity.
How do you find the GST in a GST-inclusive price?
Divide the price by 11.
Simple interest formula?
I = Pin (principal × rate per period as a decimal × number of periods).
Converting AUD to a foreign currency when AUD 1 = r units?
Multiply the AUD amount by r; divide to go back.
Dividend yield formula?
Dividend per share ÷ share price × 100%.
Spreadsheet formula to total cells D2 to D8?
=SUM(D2:D8)
State Pythagoras' theorem.
In a right-angled triangle, c² = a² + b², where c is the hypotenuse.
How do you find a shorter side using Pythagoras?
a = √(c² − b²): subtract the square of the known short side from the square of the hypotenuse.
Space diagonal of a rectangular box l × w × h?
D = √(l² + w² + h²)
Circumference of a circle?
C = 2πr = πd
Perimeter of a sector of radius r and angle θ?
P = 2r + (θ/360) × 2πr
Area of a trapezium?
A = ½(a + b)h, with a and b the parallel sides and h the perpendicular height.
Area of a sector?
A = (θ/360) × πr²
How many cm² in 1 m²?
10 000 cm² (100 × 100).