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.

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

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

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

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Several quadratics are given and students are asked to complete the square.

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

Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.

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

Drag a point into a square!

Given a randomised square root function select the possible ways of writing the domain of the function.

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

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The derivative of  $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.

Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

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.

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.

Uses the $\chi^2$ test to see if there is any significant difference in preferences.

Differentiate

\[ \sqrt{a x^m+b})\]

Calculating the square root of a complex number using De Moivre.

The human resources department of a large finance company is attempting to determine if an employee’s performance is influenced by their undergraduate degree subject. Personnel ratings are used to judge performance and the task is to use expected frequencies and the chi-squared statistic to test the null hypothesis that there is no association.

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 $q(x)=0$.

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.

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

Differentiate

\[ \sqrt{a x^m+b})\]

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