Assessment and exam practice.

Try this with Mathematical Methods

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 Mathematical Methods resources on ATARMAXXING ↗

Practice paper focus areas

• Exam 1 — routine derivatives with chain, product and quotient rules (1.2); normal distribution probabilities and inverse-normal values (5.2); upper and lower rectangle estimates of area (3.2)
• Exam 2 — derivative of x^n from first principles (1.1); binomial probabilities and mean np (2.3); fundamental theorem of calculus for exact area (3.3)
• Exam 3 — second derivative, concavity and points of inflection (1.5); expected value and standard deviation of a discrete random variable (2.1); area between two curves (3.2)
• Exam 4 — derivatives of sine and cosine and periodic models (1.4); Bernoulli distribution parameters (2.2); integrating a rate of change to find total change (3.4)
• Exam 5 — optimisation of a modelled function using f' and f'' (1.5); binomial conditions and cumulative probabilities (2.3); indefinite integrals with an initial condition (3.1)
• Exam 6 — tangent and normal equations for e^f(x) (1.3); probability density functions and their mean (5.1); displacement and distance from a velocity function (3.4)
• Exam 7 — instantaneous velocity and acceleration from displacement (1.1); normal distribution: finding sigma from a known probability (5.2); definite integrals and signed area below the x-axis (3.2)
• Exam 8 — product and quotient rule proofs of a given derivative (1.2); probability bar charts and uniform distributions (2.1); area under a curve by the fundamental theorem (3.3)
• Exam 9 — sign diagrams and stationary points of a cubic (1.5); binomial mean and standard deviation in context (2.3); families of curves sharing a derivative (3.1)
• Exam 10 — chain rule with trigonometric compositions (1.4); z-scores and the standard normal distribution (5.2); area between a curve and a line (3.2)
• Exam 11 — derivative of e^(f(x)) and maxima of an exponential model (1.3); expected value as a long-run mean (2.1); total distance travelled from a velocity graph (3.4)
• Exam 12 — average versus instantaneous rate of change (1.1); Bernoulli mean and standard deviation (2.2); estimating area with rectangles and explaining under- or over-estimation (3.2)
• Exam 13 — quotient rule and the derivative of tan (1.4); inverse-normal calculations for cut-off scores (5.2); fundamental theorem of calculus with an exact irrational answer (3.3)
• Exam 14 — nature of stationary points via the second derivative test (1.5); binomial probability of at least k successes (2.3); integration of linear-argument trigonometric functions (3.1)
• Exam 15 — first principles derivative of a rational power (1.1); valid probability density functions and P(a < X < b) (5.1); area under a rate-of-change graph as change in quantity (3.4)
• Exam 16 — chain rule with e^x inside a power (1.3); standard deviation of a discrete random variable (2.1); area of a region partly below the x-axis (3.2)
• Exam 17 — derivatives of trigonometric models and maximum rates (1.4); binomial distribution shape for large n (2.3); velocity from acceleration with an initial condition (3.4)
• Exam 18 — points of inflection: stationary and non-stationary (1.5); normal distribution proportions and percentiles (5.2); upper and lower sums with a stated number of rectangles (3.2)
• Exam 19 — equation of a normal to a polynomial curve (1.1); Bernoulli versus binomial random variables (2.2); exact area via the fundamental theorem of calculus (3.3)
• Exam 20 — product rule with exponential and trigonometric factors (1.2); mean of a continuous random variable by integration (5.1); integration to find displacement from velocity (3.4)