Year 12 · HSC / Mathematics Advanced
Flashcards and recall.
Make a short deck from material you need to recall without notes.
Try this with Mathematics Advanced
- Write one prompt per card. Use definitions, explanations or examples from your current topic.
- Answer aloud before turning the card. Split a card if it asks for several unrelated facts.
- Set aside missed cards and revisit them in a later session.
Recall topics
- Define a function transformation: vertical translation by k units
- Define a function transformation: horizontal translation by h units
- Define a function transformation: vertical dilation by factor a
- Define a function transformation: horizontal dilation by factor 1/b
- State the key features of the reciprocal function y = 1/x
- State the key features of y = 1/(x−a) + b
- Define the absolute value function and state its graph properties
- State the domain and range of y = √(x)
- Define a combined function (composite function) f∘g
- State the period of y = sin(kx) or y = cos(kx)
- State the amplitude of y = a·sin(x) or y = a·cos(x)
- State the phase shift of y = sin(x − c) or y = cos(x − c)
- State the general form of a sinusoidal function
- List the exact values: sin(0°), sin(30°), sin(45°), sin(60°), sin(90°)
- List the exact values: cos(0°), cos(30°), cos(45°), cos(60°), cos(90°)
- List the exact values: tan(0°), tan(30°), tan(45°), tan(60°)
- State the ASTC rule for trigonometric signs in quadrants
- State the Pythagorean identity
- State the angle addition formula: sin(A + B)
- State the angle addition formula: cos(A + B)
- State the product rule for differentiation
- State the quotient rule for differentiation
- State the chain rule for differentiation
- State the derivative of y = sin(x)
- State the derivative of y = cos(x)
- State the derivative of y = e<sup>x</sup> and y = a<sup>x</sup>
- State the derivative of y = ln(x)
- Define stationary points and state the condition
- State the second derivative test for stationary points
- State the fundamental theorem of calculus for integration
- Simple interest formula
- Compound interest formula
- Present value of a single amount
- Future value of an ordinary annuity
- Present value of an ordinary annuity
- Loan repayment formula
- Loan balance after k payments
- Pearson's correlation coefficient
- Least-squares regression line
- Expected value E(X) for discrete distributions
Resource inventory inspected 4 November 2026. The main ATARMAXXING study platform is separate from tutoring. Topic labels show what was found, not a guarantee of complete curriculum coverage or tutor availability.
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