Exam-style questions for VCE General Mathematics. Full worked solutions, instant checking, and session tracking — built for students who want results.
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What's covered
Recursion & Financial Modelling
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- ✓ Generating sequences from worded rules
- ✓ Generating sequences from symbolic recurrence relations
- ✓ Naming and identifying terms in a sequence
- ✓ Writing recurrence relations from descriptions or sequences
- ✓ Analysing sequences using calculator
- ✓ Interpreting recurrence relations (MC)
- ✓ Graphing linear growth and decay sequences
- ✓ Setting up simple interest recurrence relations
- ✓ Analysing simple interest using recurrence relations
- ✓ Setting up flat rate depreciation recurrence relations
- ✓ Analysing flat rate depreciation using recurrence relations
- ✓ Setting up unit cost depreciation recurrence relations
- ✓ Analysing unit cost depreciation using recurrence relations
- ✓ Interpreting linear depreciation models (MC)
- ✓ Converting recurrence relations to explicit rules
- ✓ Explicit rules for simple interest
- ✓ Explicit rules for flat rate depreciation
- ✓ Explicit rules for unit cost depreciation
- ✓ Interpreting explicit rules (MC)
- ✓ Graphing geometric growth and decay sequences
- ✓ Setting up compound interest recurrence relations
- ✓ Analysing compound interest using recurrence relations
- ✓ Setting up reducing balance depreciation recurrence relations
- ✓ Analysing reducing balance depreciation using recurrence relations
- ✓ Interpreting geometric growth/decay models (MC)
- ✓ Converting geometric recurrence relations to explicit rules
- ✓ Explicit rules for compound interest
- ✓ Explicit rules for reducing balance depreciation
- ✓ CAS solutions for geometric growth/decay unknowns
- ✓ Interpreting geometric growth/decay (MC)
- ✓ Converting between nominal and compounding period interest rates
- ✓ Recurrence relations with different compounding periods
- ✓ Effective interest rate calculation and comparison
- ✓ Interpreting compounding and effective rates (MC)
- ✓ Generating sequences from Vn+1 = RVn ± D
- ✓ Setting up compound interest investment with additions recurrence relations
- ✓ Analysing compound interest investments with additions using recurrence relations
- ✓ Determining annual interest rate from Vn+1 = RVn + D
- ✓ Interpreting annuity investment recurrence relations (MC)
- ✓ Setting up reducing balance loan recurrence relations
- ✓ Analysing reducing balance loans using recurrence relations
- ✓ Setting up annuity recurrence relations
- ✓ Analysing annuities using recurrence relations
- ✓ Interpreting reducing balance loan and annuity recurrence relations (MC)
- ✓ Applying the amortisation process (reducing balance loan)
- ✓ Constructing amortisation tables for reducing balance loans
- ✓ Reading and interpreting amortisation tables for reducing balance loans
- ✓ Analysing amortisation tables for annuities
- ✓ Amortisation tables for compound interest investments with additions
- ✓ Interpreting amortisation tables (MC)
- ✓ Finding the final payment (reducing balance loan)
- ✓ Finding the final payment (annuity)
- ✓ Finding total payment and total interest
- ✓ Plotting from amortisation tables
- ✓ Interpreting amortisation table analysis (MC)
- ✓ Finance solver for investments with regular additions
- ✓ Finance solver for reducing balance loan balance and final payment
- ✓ Finance solver for annuity balance and final payment
- ✓ Finance solver balance and final payment (MC)
- ✓ Finance solver: interest rate and time for investments with additions
- ✓ Finance solver: payment amount, total cost and interest for reducing balance loans
- ✓ Finance solver: interest rate, time and payment for annuities
- ✓ Finance solver advanced analysis (MC)
- ✓ Two-stage investment problems (changed regular payment)
- ✓ Two-stage loan problems (changed interest rate)
- ✓ Two-stage annuity problems (changed conditions)
- ✓ Two-stage investment problems (changed interest rate or one-off payment)
- ✓ Interpreting changed conditions (MC)
- ✓ Calculating the regular payment for an interest-only loan
- ✓ Finding the principal of an interest-only loan
- ✓ Finding the interest rate of an interest-only loan
- ✓ Interest-only loans with changed conditions
- ✓ Interpreting interest-only loans (MC)
- ✓ Calculating the payment from a perpetuity
- ✓ Calculating the investment required for a perpetuity
- ✓ Calculating the interest rate of a perpetuity
- ✓ Analysing perpetuities (recurrence relations and comparisons)
- ✓ Interpreting perpetuities (MC)
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