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WA · SCSAQ&A
Mathematics ApplicationsQ&A by dot point
A short Q&A bank for every WA Mathematics Applications syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.
Unit 3
- Recognise arithmetic sequences, use the recursive and explicit rules, and apply them to simple interest and linear depreciation.1Q&A pairs
- Distinguish association from causation, identify confounding and coincidence, and place bivariate analysis within the statistical investigation process.0Q&A pairs
- Model compound interest with a recurrence relation, convert nominal annual rates to the period rate, and find balances and effective rates.1Q&A pairs
- Model and solve problems involving compound interest, depreciation, annuities, loans and investments using recursion and the financial solver.0Q&A pairs
- Calculate and interpret Pearson's correlation coefficient r and the coefficient of determination r squared, and state their limitations.0Q&A pairs
- Apply squared, logarithmic and reciprocal transformations to linearise data, fit a least-squares line to the transformed data and use it to predict.0Q&A pairs
- Recognise geometric sequences, use the recursive and explicit rules with the common ratio, and apply them to growth and decay.1Q&A pairs
- Use vertex, edge, degree, loop and multiple-edge terminology, apply the handshake rule, and represent a graph with an adjacency matrix.0Q&A pairs
- Fit a least-squares line using technology, interpret the slope and intercept in context, and predict while distinguishing interpolation from extrapolation.0Q&A pairs
- Formulate linear programming problems, graph feasible regions, and locate the optimal solution at a vertex of the feasible region.0Q&A pairs
- Perform matrix operations, find determinants and inverses of 2x2 matrices, solve matrix equations, and apply transition matrices to model systems.0Q&A pairs
- Represent situations with graphs and networks, use terminology and matrices, and solve shortest path, minimum spanning tree and connection problems.1Q&A pairs
- Identify planar graphs, count vertices, edges and faces, and verify and apply Euler's formula v minus e plus f equals 2.0Q&A pairs
- Use first-order linear recurrence relations to generate sequences and recognise the patterns of growth and decay they produce.0Q&A pairs
- Model reducing-balance depreciation with a recurrence relation, compare it with flat-rate depreciation, and find book value and scrap-value timing.1Q&A pairs
- Calculate residuals, construct and interpret a residual plot, and use it to judge whether a linear model is appropriate.0Q&A pairs
- Identify response and explanatory variables, construct a scatterplot, and describe the association in terms of direction, form, strength and outliers.0Q&A pairs
- Distinguish walks, trails, paths, cycles and circuits, and determine when Eulerian and Hamiltonian routes exist.1Q&A pairs
Unit 4
- Model annuities and annuity-investments with recurrence relations and find balances, payments and the time to exhaust or reach a target.0Q&A pairs
- Model an assignment problem as a bipartite graph and solve it with the Hungarian algorithm to minimise total cost.0Q&A pairs
- Construct and interpret scatterplots, calculate the correlation coefficient and least-squares regression line, and use the line to make predictions.0Q&A pairs
- Construct an activity network, compute earliest and latest starting times and float, and identify the critical path and minimum completion time.0Q&A pairs
- Recognise geometric growth and decay, use recurrence relations and the explicit rule for geometric sequences, and model compound and reducing situations.1Q&A pairs
- Model flow in a directed network, find the maximum flow, and use the maximum-flow minimum-cut relationship.0Q&A pairs
- Solve connector problems by finding a minimum spanning tree using Prim's algorithm and interpret its total weight.1Q&A pairs
- Model a perpetuity, find the payment that keeps the balance constant, and relate it to the interest earned each period.0Q&A pairs
- Use the normal distribution and the 68-95-99.7 rule, standardise to z-scores, and construct and interpret sample proportions and confidence intervals.0Q&A pairs
- Model a reducing-balance loan with a recurrence relation, build an amortisation table, and find balances, repayments and total interest.1Q&A pairs
- Calculate seasonal indices, deseasonalise and reseasonalise a time series, and interpret seasonal indices in context.1Q&A pairs
- Find the shortest path between two vertices in a weighted network and interpret it in context.0Q&A pairs
- Smooth a time series using moving averages, including centred even-order averages, and using median smoothing.0Q&A pairs
- Plot and describe time series, smooth with moving averages, deseasonalise with seasonal indices, fit a trend line and forecast future values.1Q&A pairs
- Construct a time series plot and identify trend, seasonal, cyclic and irregular components.0Q&A pairs
- Fit a least-squares trend line to a time series, forecast future values, and reseasonalise forecasts for seasonal data.0Q&A pairs