HSC Mathematics Standard 2 study plan
HSC Mathematics Standard 2 · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra & Statistical analysis
Compute summary statistics (mean, median, mode, range, IQR) from raw data sets without a calculator error
Construct and interpret box plots and five-number summaries to compare two data sets
Solve linear equations and inequalities in one variable, showing each inverse operation
Rearrange formulas to change the subject, including cases where the variable appears twice
Your checkpoint
A one-page reference sheet of statistics definitions plus 20 worked solutions (10 statistics, 10 algebra) checked against the answer key, with errors annotated
Statistical analysis & Algebra
Calculate and interpret the standard deviation of small data sets, explaining what a larger value means in context
Classify data as categorical, discrete, continuous, or ordinal and choose an appropriate display for each
Draw and read scatter plots, describe correlation, and use a line of best fit to predict values
Solve simultaneous linear equations both algebraically and by graphing
Identify outliers using the 1.5 x IQR rule and justify whether to exclude them
Your checkpoint
A written analysis of two data sets (at least 15 values each) covering mean, median, standard deviation, outlier check, and a scatter plot with a line of best fit and one prediction explained in words
Measurement & Networks
Convert fluently among metric units of length, area, volume, and mass, including squared and cubed conversions
Calculate the perimeter, area, and volume of composite shapes by splitting them into standard figures
Apply Pythagoras' theorem and trigonometry (sine, cosine, tangent) to right-angled triangles in practical contexts
Identify vertices, edges, and faces of simple networks and calculate the degree of each vertex
Determine whether a network is traversable by counting odd-degree vertices and applying Euler's rule
Your checkpoint
A set of 15 mixed measurement and network problems solved end to end with diagrams, units stated at every step, and a self-marked score
Measurement & Networks
Calculate surface area and volume of prisms, cylinders, pyramids, and spheres, choosing the correct formula from a supplied sheet
Solve problems involving non-right-angled triangles using the sine and cosine rules
Compute the length of the shortest path through a network using a systematic method
Find a minimum spanning tree for a weighted network and state its total weight
Interpret scale drawings and maps to convert measured distances to real distances
Your checkpoint
A timed 45-minute practice test of 12 questions covering measurement and networks, marked and corrected, with a list of the three weakest question types
Financial mathematics & Algebra
Calculate weekly, fortnightly, and monthly pay from an hourly rate, including overtime and penalty rates
Compute gross pay, taxable income, and net pay after applying a progressive tax scale
Solve problems involving simple and compound interest using the relevant formulas
Calculate the future value of an investment with regular deposits using a table or formula
Solve equations arising in financial contexts, such as finding the time or rate required
Your checkpoint
A completed payslip-and-tax scenario: one fictional worker's annual gross pay, taxable income, tax payable, and net pay calculated and justified line by line
Financial mathematics
Compare loan options by calculating total interest and total repayment over the life of each loan
Interpret credit card statements, including interest-free periods and interest charges on outstanding balances
Calculate depreciation using both the straight-line and declining-balance methods
Convert between nominal and effective interest rates where the compounding period differs
Evaluate a purchase decision by comparing the cost of buying outright against a loan or a savings plan
Your checkpoint
A one-page comparison of three financing options for the same purchase (cash, loan, credit card), with total cost calculated for each and a justified recommendation
Algebra & Measurement & Financial mathematics & Statistical analysis & Networks
Identify which domain each practice question belongs to before attempting it
Complete a full-length practice paper under exam time conditions without notes
Mark the paper against the marking guidelines and record the source of each lost mark
Re-solve every incorrect question and explain the correct method in writing
Rank the five domains by accuracy and select the two weakest for targeted revision
Your checkpoint
A marked full-length practice paper with a domain-by-domain accuracy table and a written correction for every question answered incorrectly
Algebra & Measurement & Financial mathematics & Statistical analysis & Networks
Re-attempt the two weakest domains from week 7 and raise accuracy on each
Build a single formula and definitions sheet covering all five domains from memory
Complete a second timed practice paper and compare accuracy with the week 7 result
Practise written-response questions that require justifying a method, not just stating an answer
Review timing strategy and identify questions to skip and return to
Your checkpoint
A second marked practice paper with a week 7 versus week 8 accuracy comparison table showing improvement in both targeted domains
Milestones
Week 2: Score at least 70% on a self-made 15-question quiz on statistics and algebra, with no more than two errors in standard deviation or simultaneous equations
Week 4: Score at least 65% on the timed measurement and networks test within the 45-minute limit, with all units correctly stated
Week 6: Correctly calculate gross pay, net pay, compound interest, and declining-balance depreciation in four out of four attempts without referring to worked examples
Week 7: Complete the full-length paper within the allotted time and record a domain-by-domain accuracy figure for all five domains
Week 8: Improve overall practice-paper accuracy by at least 10 percentage points over week 7 and reach at least 70% in both previously weakest domains