Quadratics and polynomial graphs — Topic Review | Year 11

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.

Complete each paper and show your working.

Quadratics and polynomial graphs — Practice 1
10 questions · 49 marks · 65 minutes · Scientific calculator
A balanced paper progressing from products and equations to graphs and polynomial models.
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Quadratics and polynomial graphs — Practice 2
10 questions · 49 marks · 65 minutes · Scientific calculator
Error analysis, reconstruction, intersections and a box-volume application.
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Quadratics and polynomial graphs — Practice 3
10 questions · 49 marks · 65 minutes · Scientific calculator
Tables, parameter conditions, reciprocal roots and modelling from measured data.
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Quadratics and polynomial graphs — Practice 4
10 questions · 49 marks · 65 minutes · Scientific calculator
Graphs, geometric dimensions and careful interpretation of restricted models.
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Quadratics and polynomial graphs — Challenge and applications
10 questions · 54 marks · 75 minutes · Scientific calculator
A demanding mixed paper combining parameter reasoning, polynomial structure and constrained decisions.
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