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Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

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.

Solve simple two step linear equations with feedback.

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This question aims to test understanding and ability to use the laws of indices.

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Construct a line through two points in a GeoGebra worksheet. Change the line by setting the positions of the two points when the worksheet is embedded into the question.

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Calculate: $ a_1 \times a_2 \times a_3 \times a_4 $ and $ \frac{b_1 \times b_2 \times b_3 \times b_4}{b_5 \times b_6} $

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Simple word-problem reinforcement of fractions.

A test of resistor circuit knowledge.

A test of resistor circuit knowledge.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

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This is a practice test for students sitting the LANTITE (literacy).

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.