← Maths Standard 2 syllabus

NSWMaths Standard 2

Year 12: Financial Mathematics

7 dot points across 7 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How does an annuity work, and how is superannuation modelled as a regular contribution growing at compound interest?

Use the future value formula for an annuity to find the accumulated value of regular contributions to superannuation or a savings plan
A focused answer to the HSC Maths Standard 2 dot point on annuities and superannuation. The future-value-of-annuity formula on the NESA reference sheet, applied to Super Guarantee contributions, with worked Australian examples at current ATO rates.
8 min answer →

How is compound interest calculated, and how do compounding frequency and time affect investment growth?

Use the compound interest formula to find future values, present values, interest rates and time periods for investments
A focused answer to the HSC Maths Standard 2 dot point on compound interest. The formula, conversion between annual and per-period rates, present and future values, the effect of compounding frequency, and worked examples using current Australian bank rates.
8 min answer →

How is credit card interest calculated, and how do the interest-free period and daily compounding affect the cost of using a credit card?

Calculate credit card interest using daily compounding, identify the interest-free period and the minimum monthly repayment
A focused answer to the HSC Maths Standard 2 dot point on credit card interest. Daily compounding from purchase date, the interest-free period if the balance is paid in full, and worked Australian examples using typical RBA-published credit card interest rates.
7 min answer →

How is inflation measured by the Consumer Price Index, and how does it affect the real value of money and investments?

Use the Consumer Price Index to calculate inflation rates and compare real and nominal values over time
A focused answer to the HSC Maths Standard 2 dot point on inflation and the Consumer Price Index. The ABS CPI series, calculating an inflation rate between two years, comparing real and nominal values, and worked Australian examples with current ABS data.
7 min answer →

How are reducing-balance loan repayments calculated, and how does each repayment split between interest and principal?

Use recurrence relations and amortisation tables to calculate loan repayments, outstanding balances and the total interest paid on a reducing-balance loan
A focused answer to the HSC Maths Standard 2 dot point on reducing-balance loans. Recurrence model for the outstanding balance, building an amortisation table, the interest vs principal split of each payment, and worked Australian mortgage examples at current RBA cash rate levels.
9 min answer →

How are share investments analysed using dividends, yields and price-earnings ratios?

Calculate dividend yield, dividend payout, capital gain and total return on share investments
A focused answer to the HSC Maths Standard 2 dot point on shares. Dividend per share, dividend yield, capital gain, total return, and the price-earnings ratio with worked Australian ASX examples.
7 min answer →

How is depreciation calculated using the straight-line and declining-balance methods?

Use the straight-line and declining-balance methods to calculate the value of a depreciating asset over time
A focused answer to the HSC Maths Standard 2 dot point on depreciation. Both straight-line and declining-balance formulas, how they differ, salvage value, and worked Australian examples for cars, equipment and electronics.
7 min answer →