Create Arithmetic Questions

Arithmetic questions enable you to assess users' knowledge and comprehension of mathematics and number theory. You can ensure each respondent receives a unique question by including variables enclosed with curly braces that randomly generate numbers within the problem.

For example, if you set variables x, y, and z with a Min 1 to Max 5 number range in 1-step increments, the question “You have {x} green marbles, {y} red marbles, and {z} blue marbles. How many marbles do you have in total?” will randomly generate a rational number (1, 2, 3, 4, 5) for {x}, {y}, and {z}.

In arithmetic questions, use answer precision to limit the number of acceptable decimal places allowed in a response. You can require that correct answers contain a specific number of decimal places. 

To create arithmetic questions

  1. In Question Library, from the New button, click Arithmetic Question (2+2).

  2. In the Title field, enter an optional title for your question.

  3. In the Points* field, enter the number of points a learner will receive for answering the question correctly.

  4. Set the Difficulty level for the question.

  5. In the Question Text field, enter your arithmetic question text.
    Note: The character limit is 512.

  6. To add an image to your arithmetic question, click Insert an Image and select the image you want to add and enter a description for the image.

  7. To enable learners to add attachments to support their answers, select the Allow attachments to support answers check box.

  8. Enter your arithmetic question Formula using the following supported operations, functions, and constants:

Enumerations

Description

Enumerations

Description

 +,-,*,/,\,^

Basic mathematical operators

%

Modulo (remainder) operator

{x}^{y}

x to the power of y

abs({n})

Absolute value of n

cos({n})

The cosine of n (in radians)

sin({n})

The sine of n (in radians)

sqr({n})

The square root of n

tan({n})

The tangent of n (in radians)

log({n})

The log base 10 of n

ln({n})

The log base e of n

atan({n})

The inverse tangent of n

sec({n})

The secant of n

cosec({n})

The cosecant of n

cotan({n})

The cotangent of n

Factorial

Factorial of n, or (n!)

exp

The power of natural log (e)

 pi

 pi 3.14159 (accurate up to 50 decimal places)

 e

 e 2.71828 (accurate up to 50 decimal places)

To verify your formula before sharing it with learners, click Test.

Completing Question Setup

  1. In arithmetic questions, use answer precision to limit the number of acceptable decimal places allowed in a response. You can require that correct answers contain a specific number of decimal places.

  2. From the Answer Precision drop-down menu, select the number of acceptable decimal places allowed in a response and select the enforce precision check box to require correct answers to contain this specific number of decimal places.

  3. Use Tolerance levels to accept near-accurate, estimated, or rounded answers.

  4. To assess if answers include correct units of measurement, enter a unit type (mm, cm, grams, inches, etc.), and set one of the following Evaluation Options:

    • Case Insensitive - Auto-grading searches for a matching character pattern in the answer text with or without letter case correctness.

    • Case Sensitive - Auto-grading searches for a matching character pattern in the answer text that must have letter case correctness.

    • Regular Expression - Auto-grading uses meta-characters to search for one or more matching strings in the answer text's character pattern. What you set as meta-character parameters helps determine letter case sensitivity.

  5. To assign a weighted points value to the measurement unit, from the Worth: drop-down menu, select a percentage.

  6. In the Variables area, do the following:

    • Create any variables you want to use with your question by giving the variable a Name, a minimum value in Min, and a maximum value in Max.

    • Set the number of decimals to provide in the Decimal Places drop-down list.

    • To set the system's incrementing steps as it generates numbers from the range set by the Min and Max fields, in the Step field, enter a number.

  7. Enter a Question Hint and Question Feedback.

  8. To verify your question, click Preview.

  9. Click Save.

Video: Create an Arithmetic Question

YouTube: Question Library - Create an arithmetic question - Instructor

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