Year 12 Maths Standard 2

Free interactive notes for every focus area of NSW Year 12 Maths Standard 2, from annuities and loans to the normal distribution, trigonometry and critical path analysis.

1Pick a chapter below.
2Notes: learn with interactive calculators, worked examples and practice questions.
3Quizzes: test yourself on the whole chapter.

Tap Mark as mastered after each section to track your progress on this device. No account needed.

Chapters

1 Types of Relationships 6 sections

Simultaneous linear equations by graph and by algebra, break-even and profit, exponential growth and decay, quadratic models through their intercepts, and inverse variation with the hyperbola.

Notes Quizzes
2 Investments and Depreciation 5 sections

Compound interest with any compounding period, present value, simple versus compound growth in graphs and spreadsheets, inflation and appreciation, shares and dividends, and declining-balance depreciation.

Notes Quizzes
3 Annuities and Loans 6 sections

Reducing-balance loans in tables and spreadsheets, extra repayments, repayment frequency and offset accounts, credit cards with compound daily interest, annuities as recurrence relations, and future value and present value interest factor tables for savings, loans and superannuation.

Notes Quizzes
4 Non-right-angled Trigonometry 6 sections

Angles of elevation and depression, compass and true bearings, obtuse angles, the area formula ½ab sin C, the sine rule, the cosine rule, and compass radial surveys.

Notes Quizzes
5 Rates and Ratios 6 sections

Concentration and dilution, drip rates, heart rate and training zones, fuel and energy efficiency, dividing in a ratio, scale drawings, plans and elevations, and finding land areas from survey plans.

Notes Quizzes
6 Bivariate Data Analysis 5 sections

Scatterplots, describing association, Pearson's correlation coefficient, correlation versus causation, the least-squares line of best fit, interpolation, extrapolation and statistical investigations.

Notes Quizzes
7 Relative Frequency and Probability 6 sections

The language of chance, sample spaces, equally likely outcomes, complementary events, two-way tables and tree diagrams for multistage events, relative frequency and simulation, expected frequency, and using probability to make decisions about games, insurance and health.

Notes Quizzes
8 The Normal Distribution 5 sections

Normally distributed data and its properties, the 68-95-99.7 rule, z-scores, comparing scores from different datasets, and applications including percentages and quality control.

Notes Quizzes
9 Network Flow and Critical Path Analysis 5 sections

Turning an activity chart into a network with dummy activities, forward and backward scanning, float, critical paths and Gantt charts, then flow networks, cuts and the maximum-flow minimum-cut theorem.

Notes Quizzes