Assessment and exam practice.

Try this with Mathematics Methods – Foundation

1. Check the task format, time limit and permitted materials with your school.
2. Start with one timed section or task and record where you spent the most time.
3. Review errors before attempting another section. Separate missing knowledge from timing problems.

View Mathematics Methods – Foundation resources on ATARMAXXING ↗

Practice paper focus areas

• Exam 1 — Completing the square for a non-monic quadratic; Finding a cubic's equation from its graph; Period and first asymptote of y = tan 3x
• Exam 2 — Factor theorem and full factorisation of a cubic; Domain and range of a restricted quadratic; Converting radians to degrees and arc length
• Exam 3 — Binomial expansion of (2x − 3)⁴ via Pascal's triangle; Transformations y = f(x + b) and y = cf(x) applied to a cubic; Log laws: expressing as a single logarithm
• Exam 4 — Simplifying surds and rational indices; Function or relation: vertical line test with justification; Compound interest with an exponential function
• Exam 5 — Simultaneous equations from a rectangle's perimeter and area; Modelled quadratic: maximum height of a projectile; Exponential decay: depreciation model and time to halve
• Exam 6 — Discriminant: rational or irrational zeros; Equation of a line from two points and its intercepts; Solving 2^(x+1) = 5 with logarithms
• Exam 7 — Sum and difference of cubes; Sketching y = a(x − h)³ + k; Sketching y = a log_n(x − h) + k with asymptote
• Exam 8 — Rearranging a formula for a subject in a denominator; Perpendicular line through a given point; Exact values and symmetry: sin(7π/6), cos(5π/3)
• Exam 9 — Solving an index equation by matching bases; Sketching y = ax² + bx + c from sign information; Sine rule for an obtuse angle with a diagram
• Exam 10 — Algebraic fractions with a common denominator; Cubic with a repeated zero: sketch and intercepts; Sketching y = 3 cos 2x on [0, 2π]
• Exam 11 — Expanding (ax − by)⁵ with binomial coefficients nCr; Equation of a quadratic from its turning point and one other point; Solving log₃(x) + log₃(x − 2) = 1 with the log laws
• Exam 12 — Perfect squares and difference of squares factorising; Sketching a line from an x-intercept and a parallel condition; Cosine rule for a side with a labelled triangle given
• Exam 13 — Completing the square giving irrational solutions; Dilation y = f(2x) and reflection y = −f(x) of a cubic; Exponential growth model: doubling time by logarithms
• Exam 14 — Rearranging a formula involving a square root; Sketching y = a(x − h)³ + k and labelling the point of inflection; Sketching y = 2 sin(x/2) over one period with amplitude and period
• Exam 15 — Simultaneous equations: a line and a parabola (simple non-linear); Sketching y = ax² + bx + c from Δ < 0 and a > 0; Solving cos x = −½ on [0, 2π] with symmetry properties
• Exam 16 — Solving 9ˣ = 27ˣ⁻¹ by matching bases; Interpreting a modelled cubic: substitution and a restricted domain; Sketching y = log₂(x − 3): asymptote, intercept, domain and range
• Exam 17 — Common factor then difference of squares; Intersection of two lines and checking perpendicularity; Exact value of tan(5π/4) from the unit circle
• Exam 18 — Solving (x + 1)/3 − (x − 2)/4 = 1 with a common denominator; Modelled quadratic: maximum revenue from the turning point; Depreciation model: solving A = 12000(0.85)ᵗ for t with logarithms
• Exam 19 — Discriminant condition for no real zeros (solve for k); Equation of a cubic from three zeros and a point; Sketching y = 3ˣ − 2 with asymptote and intercepts
• Exam 20 — Scientific notation and index laws with numeric bases; Domain and range on a restricted interval with correct bracket notation; Sine rule to find an angle with a diagram given