ATARMAxxing · General Mathematics
SACE General Mathematics Practice Exams with Worked Solutions
20 full-length papers · worked solutions for every question
The 20 practice exams inside the SACE 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.
- Critical path from a precedence table: critical path and minimum completion time
- Savings annuity: regular deposit and total interest earned
- Linear regression: interpreting slope and using r² to justify strength
- Reducing-balance home loan: repayment, balance owing and interest saved by extra payments
- Hungarian algorithm on a 4×4 cost array
- Drawing a directed network with a dummy link from a precedence table
- Compound interest: nominal to effective rate comparison of two investments
- Normal distribution: 68:95:99.7% rule and inverse normal in a manufacturing context
- Superannuation: present value annuity providing a monthly income
- Slack time and the effect of delaying a non-critical task
- Exponential regression: interpreting a and b and extrapolating with a reliability comment
- Loan comparison rates including set-up and ongoing fees
- Forward and backward scans on a given network
- Investment eroded by tax and inflation
- Hungarian algorithm with a dummy column (non-square array)
- Scatter plot description and Pearson's r with an outlier removed
- Interest-only loan with a sinking fund
- Precedence table from a network and minimum completion time
- Savings plan: number of periods to reach a target future value
- Maximum-profit assignment via the Hungarian algorithm
- Residual plot: deciding a linear model is inappropriate
- Reducing-balance loan: interest in a specified interval and balance after n payments
- Critical path: crashing a task and identifying a new critical path
- Retirement income: how long a lump sum lasts at a given withdrawal
- Assignment problem interpreted in context: one-to-one assumption
- Normal distribution: non-standard proportions and a quality-control cut-off
- Effective annual rate of a flat-interest offer
- Directed network with two dummy links and multiple critical paths
- Offset account versus lump-sum payment on a mortgage
- Hungarian algorithm: recognising two optimal assignments
- Linear regression prediction by interpolation with r² justification
- Annuity: comparing fortnightly and monthly deposits
- Critical path analysis: EST, LST and slack for every task
- Inflation-adjusted value of a long-term deposit
- Hungarian algorithm on a 5×5 minimisation array
- Exponential model: percentage change per unit and an extrapolated prediction
- Personal loan: total interest and the effect of halving the term
- Precedence table with a dummy link and minimum completion time
- Present value annuity: reversing the savings model for income
- Assignment problem: squaring up a 5×4 array
- Causality versus correlation with a third variable
- Superannuation accumulation then drawdown in two phases
- Slack time calculation and interpretation of a delayed task
- Comparison of two loans by comparison rate and fees
- Hungarian algorithm: maximisation of total rating
- Normal distribution: values between two non-integer z-bounds and an inverse normal warranty
- Compound interest: doubling time and interest rate to reach a target
- Critical path from a network with dummy links
- Extra repayments: interest saved and time saved on a home loan
- Assignment problem with a forbidden allocation treated as a large cost
- Scatter plot form and strength; r vs r²
- Savings annuity with a change of interest rate part-way through
- Minimum completion time vs last EST on a directed network
- Interest-only loan versus reducing-balance loan over the same term
- Hungarian algorithm minimisation with a dummy row
- Residuals calculated by hand and plotted; exponential model fitted instead
- Comparison of two savings accounts via effective rates
- Backward scan and LST from a given forward scan
- Loan balance after a lump-sum payment and the new payoff time
- Assignment problem: reading the optimal assignment from the reduced array
- Linear regression: intercept interpretation and an extrapolation warning
- Income annuity: payment size to last exactly 25 years
- Precedence table built from a written task description
- Effect of an interest-rate rise on a variable-rate mortgage
- Hungarian algorithm: the covering-lines test and further reduction
- Normal distribution: proportion outside ±2σ and expected count in a batch
- Compound interest with tax on interest each year
- Critical path: identifying critical tasks and explaining why a delay matters
- Comparison rate for a loan with a monthly fee
- Assignment of six contenders to four positions (dummy columns)
- Exponential regression: initial value and growth factor in a population context
- Regular savings with an inflation-adjusted target
- Directed network drawing with a bipartite ordering aid
- Reducing the term of a loan by increasing payment frequency
- Hungarian algorithm applied to a distance array and interpreted in context
- Pearson's r, scatter plot and a prediction by interpolation with a reliability comment
- Present value of a series of future payments
- Slack time and float for parallel tasks
- Interest-only loan cost versus paying principal and interest
- Maximisation assignment converted to minimisation
- Normal distribution: inverse normal for the top 10% and a quality tolerance
- Effective annual rate to compare a daily-compounded account with a monthly one
- Critical path after shortening two tasks (new path)
- Loan repayment and total interest, then an offset-account comparison
- Hungarian algorithm with two zeros in a row: multiple solutions
- Residual plot interpretation and choice of exponential model
- Superannuation: contributions then a monthly pension
- Precedence table with dummy link justification
- Comparison of fixed and variable rate loans by total interest
- Assignment problem with unequal numbers of workers and jobs
- Scatter plot with an influential outlier: r before and after removal, justification
- Savings annuity: total deposits vs total interest
- Minimum completion time and critical path from a precedence table
- Sinking fund to repay an interest-only loan
- Hungarian algorithm on a 4×4 maximisation array
- Linear vs exponential model choice with r² and residuals
- Present value annuity: how much to invest for a given fortnightly income
- Critical path analysis with three dummy links
- Home loan: balance owing after 10 years and interest paid so far
- Assignment problem interpreted for reasonableness in context
Included in the SACE 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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