01 / QUICK RECAP
Connect the ideas.
- A function assigns one output to each permitted input. State the input restrictions before describing its range.
- For a line y=mx+c, m describes the change in y for a one-unit increase in x; c is the value at x=0.
- Find an intersection by satisfying both equations, and check the result in both.
- Inverse proportion and circles are not straight-line models; identify their restrictions and geometric features.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Functions and straight-line graphs — Practice test 1
A balanced paper on rules, graphs, linear geometry and practical models. Give exact values unless a question asks otherwise.
10 questions · 46 marks · 70 minutes · Scientific calculatorFunctions and straight-line graphs — Practice test 2
Use symbolic rules, intercepts and contextual restrictions. Explanations matter as well as calculations.
10 questions · 42 marks · 70 minutes · Scientific calculatorFunctions and straight-line graphs — Practice test 3
Use functions to connect algebra with measurement and practical restrictions. Justify choices of models.
10 questions · 43 marks · 70 minutes · Scientific calculatorFunctions and straight-line graphs — Practice test 4
A reasoning paper with parameter restrictions, a shifted reciprocal rule and geometric modelling.
10 questions · 44 marks · 70 minutes · Scientific calculatorFunctions and straight-line graphs — Practice test 5
A more demanding synthesis paper: justify restrictions, evaluate models and combine coordinate methods.
10 questions · 50 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 Mathematics, Topic 1: Functions and graphs. Prerequisite algebra and coordinate geometry are embedded as supporting lessons.
Official curriculum source ↗