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YEAR 10 · QUADRATICS AND PARABOLAS

Topic review.

Check the key ideas, then put them together independently.

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.

Practice tests

Complete each paper and show your working.

  1. Quadratics and Parabolas — Practice test 1

    16 questions · 49 marks · 55 minutes · By hand

    A balanced paper covering expressions, equations, graphs and practical interpretation.

  2. Quadratics and Parabolas — Practice test 2

    16 questions · 51 marks · 55 minutes · By hand

    A second balanced paper using construction, error analysis, intersections and quadratic applications.

  3. Quadratics and Parabolas — Applications test

    16 questions · 60 marks · 60 minutes · Scientific calculator

    Use quadratic models in area, design, motion and revenue problems, and justify useful answers within stated domains.

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