ATARMAxxing · General Mathematics
TCE General Mathematics Practice Exams with Worked Solutions
20 full-length papers · worked solutions for every question
The 20 practice exams inside the TCE General Mathematics Mastery Pack, each set out like the real paper with a separate worked-solution guide. Open any paper to see what it covers.
- Percentaged two-way tables and divided bar graphs; least-squares line by formula and interpreting the gradient
- Seasonal indices and deseasonalising a quarter
- Geometric sequence from a graph and S∞
- Reducing balance loan repayments on the finance solver
- Prim's algorithm or the cosine rule in a bearing problem
- Residual plots and whether a linear model is appropriate
- Arithmetic series in a savings context
- Effective annual rate comparison of two accounts
- Straight line versus reducing balance depreciation for tax
- Critical path, EST/LST and float or great circle distance along a meridian
- Correlation r versus r² wording; moving averages and trend line forecasting
- First-order recurrence relation with a steady state
- Annuity in arrears: how long will the money last
- Perpetuity payment
- Eulerian trail conditions or angle of elevation problem
- Interpolation versus extrapolation reliability
- Recognising arithmetic, geometric or neither
- Compound interest with a change of compounding period; inflation and real value of wages
- Maximum-flow minimum-cut
- Sine rule with bearings and area of a triangle
- Association versus causation and confounding; deseasonalised trend line and reseasonalising a prediction
- Sum of a geometric series over 40 terms
- Sinking fund contribution for a target future value
- Hungarian algorithm assignment
- Time zones, UTC and flight ETA across the date line
- Describing a scatterplot in context
- Time series features: trend, seasonality, irregular; linear recurrence modelling a population with harvesting
- Comparing two loan offers with different rates and terms
- Adjacency matrix and Euler's formula
- Spherical cosine rule between two cities
- Residual by hand and plotting it; seasonal index missing value
- Finding a and r of a GP from two given terms
- Depreciation tables and resale decision
- Spanning tree minimal connector
- Heron's rule and 3D Pythagoras
- Explaining gradient units and the y-intercept meaning
- Arithmetic versus geometric growth graphs on the same axes
- Steady-state asymptote d/(1 − r) and explanation
- Present value of an annuity versus lump sum
- Critical path with a delayed activity or small circle distance along a parallel of latitude
- Two-way table association statement with supporting percentages
- Calculator regression with rounding to stated decimal places
- Equilibrium of a difference equation versus S∞ of a GP
- Number of compounding periods to exceed a target
- Bipartite graph modelling an assignment or reduced bearings and back bearings
- Statistical investigation question design; extrapolating a trend line and reliability
- Recurrence relation for a loan with fees
- Effective rate of daily versus monthly compounding
- Semi-Hamiltonian path route planning
- Longitude and local time calculation
- r² as explained variation; smoothing with a 3-point moving average
- Modelling a drug dose with a recurrence relation
- Annuity in advance and Begin/End calculator settings
- Planar graph faces and Euler's formula check
- Angles of depression from a cliff with the cosine rule
- Residual sign meaning in context; seasonally adjusted forecasting from a trend equation
- Sum of an arithmetic sequence of payments
- Reducing balance depreciation rate from two values
- Float times and which activities can be delayed
- Distance between two points on the equator versus a parallel
- Choosing the response and explanatory variable; trend line on deseasonalised data by calculator
- Geometric decay and the total ever received
- Interest-only loan as a perpetuity
- Minimum cut equals maximum flow proof by inspection
- Travelling east across the date line with a stop-over
- Association with categorical data and a divided bar graph; reliability of an interpolated prediction
- Recognising a recurrence relation from a table
- Comparing depreciation methods after three years
- Prim's algorithm from an adjacency table
- Sine rule in a navigation triangle with bearings
- Confounding variable explanation; seasonal index interpretation relative to the average quarter
- Sum to infinity with r between 0 and 1
- Inflation-adjusted price over several years
- Hungarian algorithm with a dummy row
- Great circle arc from angular separation
- Gradient and intercept interpretation with units; residual plot pattern versus random scatter
- Steady state of a fish population model
- Sinking fund versus annuity in arrears
- Critical path minimum project time
- Time difference between two Australian cities with daylight saving
- Percentages in a two-way table by column; deseasonalised value for a given quarter
- Arithmetic sequence from a graph and S_5
- Compound interest present value
- Eulerian circuit existence and degrees
- Area of an irregular block using ½ab sin C
- Extrapolation dangers in context; long-term trend versus seasonal variation
- GP modelling salary increases and total earned
- Repayment change when the rate rises mid-loan
- Assignment by inspection versus Hungarian algorithm
- Latitude and longitude on the same meridian distance
- Least-squares formula with Σ values supplied; moving average and trend line comparison
- Recurrence relation with a decreasing long-term solution
- Comparing effective rates of two investments
- Shortest path by trial and error in a weighted graph
- UTC offset from longitude rounded to the nearest hour
- Statistical conclusions with supporting evidence (Criterion 3); reseasonalising a prediction to actual units
- Recognising linear versus exponential growth from a table
- Depreciation for tax versus resale decision
- Network flow capacity of a cut
- Cosine rule to find an angle in a bearing triangle
Included in the TCE General Mathematics Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
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Preview a sample note and question free on the TCE General Mathematics hub →