ATARMAxxing · Mathematics Standard 2
HSC Mathematics Standard 2 Practice Exams with Worked Solutions
20 full-length papers · worked solutions for every question
The 20 practice exams inside the HSC Mathematics Standard 2 Mastery Pack, each set out like the real paper with a separate worked-solution guide. Open any paper to see what it covers.
- Algebra: Types of Relationships (emphasis)
- Measurement: Non-right-angled Trigonometry; Rates and Ratios
- Financial Mathematics: Investments and Loans; Annuities
- Statistical Analysis: Bivariate Data; The Normal Distribution
- Networks: Network Concepts; Critical Path Analysis
- Measurement: Non-right-angled Trigonometry (heaviest weighting - cosine/sine rule, area, bearings, combined modelling)
- Measurement: Rates and Ratios (heaviest weighting - fuel/energy rates, scale areas, best buy, ratio division)
- Financial Mathematics: Investments and Loans, and Annuities (reducing-balance recurrence, FV annuity, compound comparison)
- Statistical Analysis: Bivariate Data Analysis and The Normal Distribution (least-squares, correlation, empirical rule, z-scores)
- Networks: Network Concepts and Critical Path Analysis (minimum spanning tree, shortest path, forward/backward pass, float)
- Financial Mathematics: Investments and Loans, and Annuities (42% of marks)
- Measurement: Non-right-angled Trigonometry, and Rates and Ratios
- Statistical Analysis: Bivariate Data Analysis, and The Normal Distribution
- Networks: Network Concepts (MST/shortest path), and Critical Path Analysis
- Algebra: Types of Relationships (simultaneous equations and linear modelling)
- Statistical Analysis: Bivariate Data Analysis (scatterplots, Pearson's r, least-squares regression, interpolation vs extrapolation, causation)
- Statistical Analysis: The Normal Distribution (empirical 68-95-99.7 rule, z-scores, comparing scores, proportions of a population)
- Financial Mathematics: Investments and Loans, and Annuities (compound interest, reducing-balance tables, future-value annuities)
- Networks and Critical Path Analysis (activity charts, forward/backward scanning, float, critical path, minimum completion time)
- Measurement, Algebra and Rates (non-right-angled trig, rates, ratios, types of relationships)
- Networks: Critical Path Analysis (forward/backward pass, float, crashing)
- Networks: Network Concepts (minimum spanning tree, maximum flow / minimum cut)
- Statistical Analysis (least-squares regression, correlation, normal distribution / empirical rule)
- Financial Mathematics (reducing-balance loans, future value of annuities)
- Algebra & Measurement (simultaneous/break-even, quadratic & exponential models, non-right trig, rates & ratios)
- Algebra: Types of Relationships (linear modelling, simultaneous equations, quadratic and exponential models, variation) — emphasised
- Financial Mathematics (compound interest, annuities via FV tables, reducing-balance loans)
- Statistical Analysis (the normal distribution and z-scores, bivariate data with least-squares regression)
- Networks (minimum spanning tree, shortest path, critical path analysis)
- Measurement (non-right-angled trigonometry, rates and ratios)
- Measurement: Non-right-angled Trigonometry (emphasis) — area rule, cosine rule, bearings
- Measurement: Rates and Ratios (emphasis) — fuel/medication rates, unit conversion, scale, dividing in a ratio
- Financial Mathematics — compound vs simple interest, reducing-balance loan tables, future value of an annuity
- Statistical Analysis — least-squares regression, Pearson's correlation, normal distribution and the empirical rule
- Networks — minimum spanning tree (Kruskal) and critical path analysis (forward/backward pass, float)
- Financial Mathematics: Investments and Loans (compound vs simple interest, appreciation, reducing-balance loan tables)
- Financial Mathematics: Annuities (future value, present value, table and formula methods)
- Measurement and Statistics (non-right-angled trigonometry, bivariate data, the normal distribution, rates and ratios)
- Networks (minimum spanning trees and critical path analysis)
- Algebra: Types of Relationships (linear simultaneous/break-even, exponential growth, quadratic models)
- Statistical Analysis emphasis: least-squares regression line, Pearson's correlation, and the normal distribution (z-scores, empirical 68-95-99.7 rule, standardised comparison)
- Realistic Standard 2 weighting across all eight Year 12 topics: Algebra, Measurement (non-right trig), Rates & Ratios, Financial Maths (loans & annuities), Statistics, Networks & Critical Path
- Multi-part 5+ mark modelling questions (Q20 regression 9 marks, Q25 critical path 9 marks, Q27 normal distribution 9 marks) with graduated difficulty
- Mark-by-mark band-6 model answers with full working, substitution shown, units stated, and every figure independently recomputed
- Networks emphasis (40% of Section II): Q24 Network Concepts (MST + shortest path), Q25 Critical Path Analysis (forward/backward pass, float, critical path), Q26 maximum flow / minimum cut
- Complete Year 12 syllabus coverage: Algebra (Types of Relationships), Measurement (Non-right-angled Trig, Rates & Ratios), Financial Maths (Investments/Loans, Annuities), Statistics (Bivariate, Normal Distribution)
- At least one multi-part modelling question worth 5+ marks (Q23 quadratic profit model, plus Q25 CPA at 12 marks)
- Every numerical answer recomputed and verified in Python; full band-6 working with units throughout
- Mark-by-mark NESA-style criteria and command words on every question; marks per part sum to question total; varied difficulty across the paper
- Algebra: Types of Relationships (emphasis — direct variation, linear simultaneous/break-even, quadratic and exponential modelling)
- Financial Mathematics: Investments and Loans, and Annuities (compound interest, future-value annuity, reducing-balance loan schedule)
- Statistical Analysis: The Normal Distribution and Bivariate Data Analysis (z-scores, empirical rule, least-squares regression, correlation)
- Networks: Network Concepts and Critical Path Analysis (minimum spanning tree, forward/backward pass, float, critical path)
- Measurement: Non-right-angled Trigonometry and Rates & Ratios (cosine rule, area rule, scale, fuel rates, ratio division)
- Measurement: Non-right-angled Trigonometry (cosine rule, sine rule, area rule, bearings)
- Measurement: Rates and Ratios (best buy, unit rates, fuel consumption, scale, flow, dividing in a ratio)
- Financial Mathematics: Investments and Loans, and Annuities
- Statistical Analysis: Bivariate Data and the Normal Distribution
- Networks: Minimum Spanning Trees and Critical Path Analysis
- Financial Mathematics: Investments and Loans, and Annuities (heavily weighted - 33 of 85 marks)
- Non-right-angled Trigonometry with bearings (sine/cosine rule, area)
- Statistical Analysis: Bivariate Data Analysis and The Normal Distribution
- Networks: Minimum Spanning Tree and Critical Path Analysis
- Algebra, Rates and Ratios applications
- Statistical Analysis: Bivariate Data Analysis (scatterplots, Pearson correlation, least-squares regression, interpolation vs extrapolation, correlation vs causation)
- Statistical Analysis: The Normal Distribution (z-scores, empirical 68-95-99.7 rule, comparing scores across distributions)
- Financial Mathematics: Investments & Loans and Annuities (future-value annuity, reducing-balance loan tables)
- Measurement & Algebra: Non-right-angled trigonometry (cosine rule, area rule, bearings), rates/ratios, linear and exponential relationships
- Networks: Network Concepts (minimum spanning tree, vertex degree) and Critical Path Analysis (forward/backward scan, float, critical path)
- Networks: Critical Path Analysis (forward/backward pass, float, crashing) — heaviest weighting
- Networks: Network Concepts (minimum spanning tree, connected graphs)
- Financial Mathematics: reducing-balance loans, compound interest and annuities
- Statistical Analysis: least-squares regression, correlation and the empirical (68-95-99.7) rule
- Measurement & Algebra: non-right-angled trig with bearings, rates/ratios and linear/exponential models
- Algebra: Types of Relationships (emphasis ~28% of section)
- Full coverage of all Year 12 Standard 2 modules with realistic weighting
- Two multi-part modelling questions worth 5+ marks (Critical Path 9, Algebra 10)
- Every numerical answer recomputed and verified; units stated
- Difficulty graded from accessible (Q16) to demanding extended response (Q25/Q26)
- Measurement: Non-right-angled Trigonometry (cosine/sine rule, area, Heron's, bearings) — heaviest weighting
- Measurement: Rates and Ratios (fuel, dosage, scale, proportional sharing, flow rates)
- Financial Mathematics: Investments and Loans, and Annuities (compound interest, reducing-balance tables, FV of annuity)
- Statistical Analysis: Bivariate Data (least-squares regression, Pearson's r) and the Normal Distribution (z-scores, empirical rule)
- Networks: Network Concepts (minimum spanning tree, shortest path) and Critical Path Analysis (forward/backward pass, float)
- Financial Mathematics: Investments and Loans (reducing-balance tables, compound interest)
- Financial Mathematics: Annuities (FV factors, superannuation accumulation and drawdown)
- Measurement: Non-right-angled Trigonometry, Rates and Ratios
- Statistical Analysis: Bivariate Data and the Normal Distribution
- Networks: Network Concepts and Critical Path Analysis; Algebra: Types of Relationships
- Statistical Analysis: The Normal Distribution (z-scores, empirical 68-95-99.7 rule, expected counts)
- Statistical Analysis: Bivariate Data Analysis (Pearson's r, least-squares regression, interpolation vs extrapolation)
- Financial Mathematics (reducing-balance loans, annuities/future value)
- Measurement (non-right-angled trigonometry, rates and ratios) and Networks (critical path, minimum spanning tree)
- Algebra: Types of Relationships (linear modelling and simultaneous break-even)
- Networks: Critical Path Analysis (forward/backward pass, float, crashing)
- Networks: Network Concepts (minimum spanning tree, degree, shortest path)
- Financial Mathematics (reducing-balance loans and annuity tables)
- Bivariate Data Analysis (least-squares line, correlation, interpolation)
- Non-right-angled Trigonometry and Rates/Ratios applications
Included in the HSC Mathematics Standard 2 Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
Unlock Mathematics Standard 2 — $20
Preview a sample note and question free on the HSC Mathematics Standard 2 hub →