01 / QUICK RECAP
Connect the ideas.
- Expand by multiplying every term in one bracket by every term in the other.
- Factorise only after checking for a common factor.
- The zero-product rule requires a product equal to zero.
- Use the discriminant and the graph to check the number of real solutions.
- Connect roots, intercepts, symmetry and the vertex rather than treating them as unrelated facts.
- Choose roots or a turning point that make sense in the problem’s stated domain.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Quadratics and Parabolas — Practice test 1
A balanced paper covering expressions, equations, graphs and practical interpretation.
16 questions · 49 marks · 55 minutes · By handQuadratics and Parabolas — Practice test 2
A second balanced paper using construction, error analysis, intersections and quadratic applications.
16 questions · 51 marks · 55 minutes · By handQuadratics and Parabolas — Applications test
Use quadratic models in area, design, motion and revenue problems, and justify useful answers within stated domains.
16 questions · 60 marks · 60 minutes · Scientific calculator
Curriculum reference & lesson scope
Australian Curriculum v9.0 and South Australian Curriculum
Year 10 quadratics, including the fuller school-course algebra requested for Ascent: non-monic factorisation, completing the square and the quadratic formula. These lessons consolidate Year 9 monic quadratics and extend the available solving methods.
Official curriculum source ↗