Calculated quiz question

Calculated questions are used to create mathematical questions which provide random values within a set formula, through the use of wildcards (e.g. {x} , {y} ).

This randomisation allows each learner to have a individualised calculated quiz question during an attempt.

For example, a question may be 'Calculate the area of a square where it's width = {width} and the height = {height}'. When displayed to the learner, {width} and {height} would be replaced with randomly selected numerical values - e.g. 'Calculate the area of a square where it's width = 3cm and the height = 3cm'.

The quiz creator can also specify the units required for the answers (e.g. cm).

Tolerance 

You can set the acceptable tolerance for error within the learner's response and the type of tolerance allowed. The specified tolerance value and the tolerance type selected combines to generate a range of acceptable scores.

If tolerance = t, correct answer = x and the difference between the user's answer and the correct answer is cx, then the tolerance types are as follows: 

• Nominal: Mark correct if cx <= t 
• Relative: Mark correct if cx / x <= t 
• Geometric: Mark correct if cx² / x² <= t²

Answer formula syntax

• There is no need to use an equal symbol in the formula.
• As a general rule, enter formulas as you would on a calculator e.g. 3 + 5 * sin(3/{x}. Exponentiation should be entered as pow({x}, y).
• Any special mathematical function must have parentheses around its values.
• Use an asterisk (*) for multiplication.

Wildcards

Wildcards are placeholders for the numbers, values and/or measurements used in a calculated question formula.

Wildcards (such as {width} and {height} from the above example) can be saved within a wildcard bank within a quiz category and reused across quizzes and quiz questions. 

After adding a wildcard to a calculated question and saving, select the wildcard datasets available for this question.

Wildcard datasets defines the range of numerical values available for each wildcard, specifies the number of different datasets (values) available for random selection, and determines the wildcard values for each of the datasets available.

Calculated simple

This question type provides a simpler version of the calculated question type, where numerical values are randomly from a specified dataset during a quiz attempt.