ATARMAxxing · Mathematics Methods
TCE Mathematics Methods Practice Exams with Worked Solutions
20 full-length papers · worked solutions for every question
The 20 practice exams inside the TCE Mathematics Methods Mastery Pack, each set out like the real paper with a separate worked-solution guide. Open any paper to see what it covers.
- Restricted logarithms, inverses and piecewise bijections
- Exact circular values and phase-sensitive thresholds
- Smooth joins, contact geometry and constrained extrema
- Signed regions, supplied derivatives and recovery conditions
- Discrete moments, binomial tails and interval estimation
- Reciprocal holes and composition range restrictions
- Tangent branches and complementary-angle equations
- Derivative graph reconstruction from piecewise motion
- Boundary equations and paired-curve area partitions
- Unknown probability tables and normal percentile recovery
- Polynomial multiplicity and exponential intersections
- Period inference from nonconsecutive events
- Optimisation with active endpoint constraints
- Integral identities with reversed and variable limits
- Sampling distributions and expected-count comparisons
- Logarithmic parameter recovery and inverse restrictions
- Circular equation completeness on negative domains
- Nonroutine tangent lines through an external point
- Position recovery with a velocity reversal
- Binomial design inequalities and confidence width tradeoffs
- Power-graph transformations and piecewise continuity
- Reconstructing circular models from quarter-cycle data
- Differentiability conditions with two unknown coefficients
- Area ratios involving power functions and moving boundaries
- Discrete rescaling and asymmetric normal-tail inference
- Factor theorem with unknown coefficients and composition
- Exact quadrant identities and tangent asymptote selection
- Cost minimisation with a restricted feasible interval
- Net accumulation from a piecewise rate graph
- Complementary event counts and sample-proportion probabilities
- Exponential baseline decay and maximal domains
- Changed-period models with a fixed midpoint event
- Local and absolute extrema on open and closed intervals
- Recovering a curve from two integral conditions
- Normal cutoffs and conservative sample-size planning
- Inverse-square ranges and cancellation restrictions
- Trigonometric equations reduced by factorisation
- Product-rule motion and speed-direction distinctions
- Area between two functions with interior order swaps
- Binomial parameter recovery and competing confidence levels
- Composed logarithms and polynomial level sets
- Periodic duration within a clipped observation window
- Parameterised normals and horizontal-tangent exceptions
- Integral evaluation using an explicitly supplied antiderivative
- Discrete game fairness and unknown normal spread
- Function reconstruction from roots and a nonzero datum
- Equivalent sine/cosine forms under phase constraints
- Optimisation of a folded-sheet design
- Accumulation functions with a linearly changing endpoint
- Binomial cumulative boundary translation and coverage simulation
- Restricted inverses with nontrivial output sets
- Exact circular equations spanning multiple rotations
- Derivative sign charts with stationary inflections
- Signed integral constraints for unknown interval endpoints
- Population-versus-sample variance and normal areas
- Exponential threshold inequalities and model validity
- Tangent transformations combined with finite domains
- Tangent approximation and error-direction reasoning
- Two-stage rate continuity and total transferred amount
- Unknown discrete probabilities from an expectation condition
- Polynomial inequality intervals including isolated roots
- Recovering angular frequency from alternating extrema
- Slope-matching equations with multiple contact points
- Power antiderivatives with unknown boundary parameters
- Binomial assumption challenges and central normal intervals
- Logarithm base changes and inverse point mapping
- Circular graph parameters from a table and crossing direction
- Motion with a stationary time but no reversal
- Antiderivative recovery from a tangent and point condition
- Sample-proportion normality and sample-size effects
- Composite function feasibility in a practical domain
- Phase shifts preserving a specified peak after period change
- Endpoint optima arising from an added design constraint
- Exponential-versus-line bounded regions
- Normal simultaneous percentile equations and confidence interpretation
- Rational graph holes versus vertical asymptotes
- Trigonometric identity domain restrictions and exact sums
- Piecewise derivative existence and local rate comparisons
- Using additivity when an integrand formula is unavailable
- Binomial counts expressed as percentage thresholds
- Model parameters from unequal observation times
- Threshold crossing families and overlapping cycles
- Quotient-rule critical points with rejected roots
- Areas clipped by an additional vertical boundary
- Risk-payoff moments and inference under a biased sampling frame
- Hybrid function inverses and graph endpoint inclusion
- Periodicity proof and alternative phase representations
- Combined-rule optimisation of an exponential product
- Velocity graph distance compared with signed displacement
- Normal density versus probability and inverse-tail decisions
- Polynomial and logarithmic domain intersections
- Circular parameter recovery with a sign-ambiguous amplitude
- External-point tangency and uniqueness arguments
- Recovery of polynomial coefficients from gradient conditions
- Confidence margin planning and exact binomial alternatives
- Integrated function study with inverse and limit behaviour
- Nonroutine circular modelling with all event checks
- Global optimisation and a complete particle-motion account
- Integrated area and accumulated-change interpretation
- Mixed distribution interpretation with interval and probability distinctions
Included in the TCE Mathematics Methods Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
Unlock Mathematics Methods — $20
Preview a sample note and question free on the TCE Mathematics Methods hub →