Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

Complete the square for a quadratic polynomial $q(x)$ by writing it in the form $a(x+b)^2+c$.  Find both roots of the equation $q(x)=0$.

A quadratic is given and sketched. Based on the sketch, task is to determine the number of solutions to the equation $f(x)=0$.

25 questions on solving quadratic equations

Some quadratics are to be solved by factorising

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Solving quadratic equations using a formula,

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

Displacement-time graphs are given and the student should select the correct velocity-time graphs from a list. Includes linear, piecewise linear and quadratic displacement-time functions.

A quadratic function $ax^2+bs+c$ is given. Six parabolas are sketched. Question is to select the correct parabola.  Need to consider the y-intercept, the coefficient of x^2, and the x-coordinate of the minimum/maximum point.

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

Quiz covering basic arithmetic with complex numbers and solving roots for a quadratic with complex solutions

25 questions on solving quadratic equations

Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.

Students will analyze a graph of a quadratic function to identify the x-intercepts (or Roots, or Zeros).

Students will locate and write the ordered pair for the vertex of a quadratic function from a graph.

Students will analyze the graph of a quadratic function, and then write the equation in either Standard Form or Vertex Form.

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Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

Solving inequalities that involve a quadratic and where the right-hand side is 0.

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Students will locate and write the equation for the axis of symmetry of a quardatic function from graph.

Solve a quadratic equation by completing the square. The roots are not pretty!