Linear and exponential models — Topic Review | Year 11

QUICK RECAP

Connect the ideas

Linear change has a constant difference; exponential change has a constant ratio over equal input steps.

An intersection satisfies both rules; break-even means zero profit.

Piecewise intervals must assign exactly one output and retain accumulated charges.

Fit a model with appropriate variables and units, then inspect residuals and domain limits.

Complete each paper and show your working.

Practice test 1 — Models and methods
10 questions · 58 marks · 60 minutes · Scientific calculator
A balanced first paper: solve, construct, compare and interpret linear, piecewise and exponential rules.
Open test Marking guide
Practice test 2 — Reading representations
10 questions · 53 marks · 60 minutes · Scientific calculator
Interpret equations, intervals, tables and financial comparisons, then justify predictions.
Open test Marking guide
Practice test 3 — Decisions from data
10 questions · 59 marks · 75 minutes · Scientific calculator
Use calibration, charges, production and investment models to make defensible decisions.
Open test Marking guide
Practice test 4 — Explain and correct
10 questions · 56 marks · 75 minutes · Scientific calculator
Find errors in algebra and modelling, support corrections and evaluate claims.
Open test Marking guide
Practice test 5 — Applications and judgement
10 questions · 62 marks · 75 minutes · Scientific calculator
Combine algebra, changing tariffs, exponential fitting and model limitations in a more demanding paper.
Open test Marking guide