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 — Unit 3 differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules); Applications of differentiation: instantaneous rate of change, kinematics, stationary points, second-derivative test, optimisation; Introduction to integration: antidifferentiation, reverse chain rule, definite integrals and signed area
• Exam 2 — Unit 3 Further Calculus: differentiation of exponential, logarithmic and trigonometric functions via chain, product and quotient rules; Applications of differentiation: rates of change, kinematics, stationary points, concavity, optimisation and curve interpretation; Introduction to integration: standard antiderivatives, reverse chain rule, definite integrals, area under a curve and between curves
• Exam 3 — Unit 3 differentiation: chain, product and quotient rules on exponential, logarithmic and polynomial functions; Unit 3 applications of differentiation: stationary points, concavity, points of inflection, kinematics and optimisation; Unit 3 introduction to integration: antidifferentiation, reverse chain rule, definite integrals and area under a curve
• Exam 4 — Unit 3 differentiation of exponential, logarithmic and trigonometric functions via chain, product and quotient rules; Applications of differentiation: rates of change, kinematics, stationary points, concavity and optimisation; Introduction to integration: standard antiderivatives, reverse chain rule, definite integrals and area
• Exam 5 — Unit 3 Further Calculus: chain/product/quotient differentiation of exp, log and trig functions; Applications of differentiation: kinematics, stationary points, concavity, points of inflection, optimisation; Antidifferentiation: standard forms, reverse chain rule, definite integrals and the constant of integration
• Exam 6 — Unit 3 differentiation: chain, product and quotient rules on exponential, logarithmic and trigonometric functions; Applications of differentiation: rates of change, kinematics, stationary points, curve sketching and optimisation; Introduction to integration: antidifferentiation, constant of integration from initial conditions, definite integrals and area
• Exam 7 — Differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules); Applications of differentiation: stationary points, kinematics, optimisation, curve sketching; Integration: antidifferentiation, definite integrals, signed area and area between curves
• Exam 8 — Unit 3 Further Calculus: differentiation of exponential, logarithmic and trigonometric functions via chain, product and quotient rules; Applications of differentiation: kinematics, stationary points, nature of stationary points, points of inflection, curve sketching and optimisation; Introduction to integration: antidifferentiation of standard forms, reverse chain rule, constant of integration from initial conditions, definite integrals and area
• Exam 9 — Differentiation of trigonometric, exponential and logarithmic functions via chain, product and quotient rules; Applications of differentiation: rates of change, kinematics, stationary points, concavity, inflection and optimisation; Antidifferentiation, reverse chain rule, definite integrals, area under and between curves, trapezoidal rule
• Exam 10 — Unit 3 differentiation: chain, product and quotient rules on exponential, logarithmic and trigonometric functions; Applications of differentiation: rates of change, kinematics, stationary points, concavity, points of inflection and optimisation; Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, area under curves and between curves
• Exam 11 — Differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules); Applications of differentiation: rates of change, kinematics, stationary points, optimisation; Integration: antidifferentiation, reverse chain rule, definite integrals, area under and between curves, trapezoidal rule
• Exam 12 — Differentiation: chain, product and quotient rules on exponential, logarithmic and trigonometric functions (Unit 3); Applications of differentiation: stationary points, inflections, concavity, kinematics and optimisation; Integration: standard antiderivatives, reverse chain rule, definite integrals, area under and between curves, trapezoidal rule
• Exam 13 — Unit 3 differentiation: chain, product, quotient rules on exponential, logarithmic and trigonometric functions; Unit 3 applications of differentiation: stationary points, nature, optimisation and kinematics; Unit 3 integration: antidifferentiation, constant of integration from initial conditions, definite integrals and area
• Exam 14 — Unit 3 Further Calculus: chain/product/quotient differentiation of exponential, logarithmic and trigonometric functions; Applications of differentiation: rates of change, kinematics, stationary points, optimisation; Introduction to integration: antidifferentiation, reverse chain rule, definite integrals and area
• Exam 15 — Unit 3 differentiation: chain, product, quotient rules on exponential, logarithmic and trigonometric functions; Applications of differentiation: kinematics, stationary points, concavity, points of inflection, curve sketching and optimisation; Introduction to integration: antidifferentiation of standard forms, reverse chain rule, definite integrals and area (with constant of integration)
• Exam 16 — Inferential statistics: sampling distribution of the sample proportion, margin of error, sample-size determination (n = z²p(1−p)/E²), and confidence intervals for a population proportion with precise written interpretation; Further calculus: chain, product and quotient rules on exponential, logarithmic and trigonometric functions; stationary points, concavity, points of inflection and optimisation; Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, signed area, area between curves and the trapezoidal rule
• Exam 17 — Unit 3 Further Calculus: differentiation of exponential, logarithmic and trigonometric functions via chain, product and quotient rules; Applications of differentiation: rates of change, kinematics, stationary points, concavity, inflection, curve sketching and optimisation; Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, signed area and area between curves
• Exam 18 — Unit 3 differentiation: chain, product and quotient rules for exponential, logarithmic and trigonometric functions; Applications of differentiation: kinematics, stationary points, concavity, optimisation and curve analysis; Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, area under curves and area between curves
• Exam 19 — Differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules); Applications of differentiation: rates of change, kinematics, stationary points, concavity, optimisation; Integration: antidifferentiation, reverse chain rule, definite integrals, signed area and area between curves
• Exam 20 — Differentiation (power, product, chain, quotient rules; logarithmic and exponential derivatives); Anti-differentiation and definite integrals (area under curves, area between curves, average value); Optimisation using calculus (open-top box, minimum-surface-area cylindrical can/container, maximum profit)