01 / QUICK RECAP
Connect the ideas.
- Expand to compare coefficients and read a y-intercept.
- Factorise to expose roots and keep zero solutions.
- Complete the square to read a vertex or solve exactly.
- Use the discriminant for real-root conditions.
- Choose a model form from the given information and state its domain.
- Use factors, multiplicities and leading terms for polynomial sketches.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Quadratics and polynomial graphs — Practice 1
A balanced paper progressing from products and equations to graphs and polynomial models.
10 questions · 49 marks · 65 minutes · Scientific calculatorQuadratics and polynomial graphs — Practice 2
Error analysis, reconstruction, intersections and a box-volume application.
10 questions · 49 marks · 65 minutes · Scientific calculatorQuadratics and polynomial graphs — Practice 3
Tables, parameter conditions, reciprocal roots and modelling from measured data.
10 questions · 49 marks · 65 minutes · Scientific calculatorQuadratics and polynomial graphs — Practice 4
Graphs, geometric dimensions and careful interpretation of restricted models.
10 questions · 49 marks · 65 minutes · Scientific calculatorQuadratics and polynomial graphs — Challenge and applications
A demanding mixed paper combining parameter reasoning, polynomial structure and constrained decisions.
10 questions · 54 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 Mathematics topics 2.1–2.2: quadratic relationships, cubic and quartic polynomials. Original Ascent teaching sequence.
Official curriculum source ↗