Area of study 1: Algebra
Build fluent symbolic work with formulae, quadratics, cubics, indices, surds and simultaneous equations, including binomial expansions for powers from 2 to 5.
TCE Mathematics Methods – Foundation · Free preparation planner
Exam Predictors 2026
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Syllabus preparation with limited indexed evidence. Future exam questions are not guaranteed. Independent of TASC.
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Area of study 2: Polynomial functions and graphs
Connect equations and graphs for linear, quadratic and cubic functions, including intercepts, turning points, repeated zeros, domain, range and permitted transformations.
Area of study 3: Exponential, logarithmic and circular (trigonometric) functions and graphs
Use exponential and logarithmic laws and models, radian measure, arc length, right-triangle trigonometry, sine and cosine rules, unit-circle exact values and circular-function graphs.
Area of study 4: Calculus
Interpret average and instantaneous rates, differentiate permitted polynomial, rational and negative-power expressions, and use gradients to study tangents, normals, stationary points and motion.
Area of study 5: Probability and statistics
Represent events with lists, grids, Venn and tree diagrams, then apply complements, addition, conditional probability, independence, combinations and relative frequency.
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Official assessment material
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2025 official material
2024 official material
2023 official material
2022 official material
TCE Mathematics Methods – Foundation — revision plan
Mathematics Methods – Foundation Level 3 course MTM315117, Version 4
Personal preparation priorities, not predicted exam questions, probabilities or grades.
Check current requirements and course options: https://www.tasc.tas.gov.au/students/courses/mathematics/mtm315117-9/
Subject archive: https://atarmaxxing.com.au/subjects/tce-maths-methods-foundation/papers