Diagnostic Quizzes for Calculus
About the Quizzes
Each Quiz contains five questions that are drawn randomly from a larger grouping set of ten or more questions. Each question is one of three types: (1) Multiple Choice, (2) Multiple Select, or (3) True or false.
Examples of the three types of questions
Multiple Choice
Exactly one answer is correct. The choice order changes, but “None of the above” is always last.
Multiple Select
At least one answer is correct. The choice order changes, but “None of the above” is always last.
True or False
Use Diagnostic Quizzes Out of the Box
Each Quiz contains five questions that are drawn randomly from a larger grouping set of ten or more questions. Refer to the Tables below on Quiz grouping sets. Each Quiz is a timed quiz to be completed in 15 minutes.
Note
There are many ways randomization occurs in these quizzes, such as: random choice of five questions, random order in which choices appear in the Multiple choice or select types, as well as random changes in numbers, variables, words and phrases, and functions.
Example
To use Quiz 16 Chain Rule with Trig (Note: the grouping set is topicdiffruleschainwithtrig)
Info
Unlike a regular WeBWorK homework assignment whose definition depends on two types of files,
problem (.pg
) files and set definition (.def
) files, these quizzes depend on
three types of files. The problem files live in the library as usual, but to use these quizzes,
you will have to import both the quiz set and one or more grouping sets into your WeBWorK course.
 Import the Quiz and its Grouping Set
Hmwk Sets Editor Import tab: Import how many sets? Multiple sets
 Import from where?
calculus1diagnosticquiz/setQuiz_16_Chain_Rule_with_Trig.def
calculus1diagnosticquiz/settopicdiffruleschainwithtrig.def
 Assign the Quiz and unassign the Grouping Set
Hmwk Sets Editor Set List Edit Assigned Users column (click on the ratio, e.g., 1/24 if there are 24 users): Quiz 16 Chain Rule with Trig Assign to students (e.g., 24/24 for all users)
 topicdiffruleschainwithtrig Assign to no one (e.g., 0/24 for no users)
 Quiz Open and Close Dates
Hmwk Sets Editor Set List Click on the pencil beside the Quiz, e.g. Quiz 16 Chain Rule with Trig Modify dates: Opens:
 Closes:
 Answers Available:

Quiz Default Settings
Setting Default Test Time Limit (min; 0=Close Date) 15 Cap Test Time at Set Close Date? No Number of Graded Submissions per Test (0=infty) 0 Time Interval for New Test Versions (min; 0=infty) 0 Number of Tests per Time Interval (0=infty) 0 Order Problems Randomly No Number of Problems per Page (0=all) 0 Show Scores on Finished Assignments? Yes Show Problems on Finished Tests? Yes
Use or Modify a Specific Diagnostic Quiz Question
Example: use a Chain Rule question with trig
All the questions on this topic are in the grouping set called topicdiffruleschainwithtrig. Either import the grouping set through Hmwk Sets Editor, or view the grouping set definition file through the Library Browser. The Library Browser has the advantage of easily viewing different randomizations of each question.
Option 1  Import the Grouping Set
Hmwk Sets Editor Import tab:
 Import how many sets? Single set
 Import from where?
calculus1diagnosticquiz/settopicdiffruleschainwithtrig.def
Option 2  View the Set Definition File
 Library Browser Set Definition Files
 Browse from: Select a Set Definition File from the dropdown menu choose
calculus1diagnosticquiz/settopicdiffruleschainwithtrig.def
Randomization  Be Aware
Before using a specific question, view several versions of it to see how it changes, or view the code itself. Beyond the randomization of coefficients, words or complete phrases could change, as well as the function that displays.
Caution
Say you want to assign a Chain Rule question specifically with the arctangent function, just be aware that the function displayed could change to the arccosine or the tangent function for some students.
Report Bugs
If you notice an error or any unexpected behaviour in a question or a quiz, please report it to: Michèle Titcombe, Svetla Vassileva, or Malcolm Harper.
Appendices
Example: One version of Calculus 1 Quiz 16 Chain Rule with Trig
Quiz Grouping Sets, Calculus 1
Number  Title  Grouping Set 

Quiz 1  Limits Using Graphs  topiclimitsgraphs 
Quiz 2  OneSided Limits  topiclimitsonesided 
Quiz 3  Properties of Limits  topiclimitslawsproperties 
Quiz 4  Infinite Limits and Vertical Asymptotes  topiclimitsinfiniteVA 
Quiz 5  Continuity and Intermediate Value Theorem  topiclimitscontinuityivt 
Quiz 6  Limits at Infinity and Horizontal Asymptotes  topiclimitsatinfinityHA 
Quiz 7  Limit Definition of the Derivative  topicderivativeslimitdefinition 
Quiz 8  Derivative of Natural Exponential Function  topicdiffrulesexpbasee 
Quiz 9  Basic Differentiation Rules  topicdiffrulesbasic 
Quiz 10  Product and Quotient Rules  topicdiffrulesprodquotnotrig 
Quiz 11  Chain Rule  topicdiffruleschainnotrig 
Quiz 12  Implicit Differentiation  topicimplicitdifferentiation 
Quiz 13  Derivative of Natural Logarithmic Function  topicdiffrulesnaturallog 
Quiz 14  Trigonometric Differentiation Rules  topicdiffrulestrig 
Quiz 15  Product and Quotient Rules with Trig  topicdiffrulesprodquotwithtrig 
Quiz 16  Chain Rule with Trig  topicdiffruleschainwithtrig 
Quiz 17  Mixed Differentiation Rules  topicdiffrulesmix 
Quiz 18  Inverse Trigonomatric Differentiation Rules  topicdiffrulesinversetrig 
Quiz 19  Derivative of General exponential function  topicdiffrulesexpbasea 
Quiz 20  Derivative of General logarithmic function  topicdiffruleslogbasea 
Quiz 21  Related Rates  topicrelatedrates 
Quiz 22  Differentials and Linear Approximation  topicdifferentials 
Quiz 23  Derivatives and Shape of Graph  topicshapeofgraph 
Quiz 24  L’Hopital’s Rule  topiclimitslhopitalsrule 
Quiz Grouping Sets, PreCalculus
Number  Title  Grouping Set 

Quiz 0  Math Vocabulary with Theory  theorymathvocabulary 
Quiz 1  Vocabulary  topicmathvocabulary 
Quiz 2  Exponent Laws  topicexponentlaws 
Quiz 3  Factoring  topicfactoring 
Quiz 4  Equations  topicequations 
Quiz 5  Intervals  topicintervals 
Quiz 6  Domain  topicintervalsdomain 
Quiz 7  Functions  topicgeneralfunctions 
Quiz 8  Lines  topicequationsoflines 
Quiz 9  Curves  topicbasiccurves 
Quiz 10  Trigonometry  topictrigonometry 
Quiz 11  Logarithms  topiclogarithms 
Quiz 12  Inequalities  topicinequalities 
Quiz 13  Simplifying  topicsimplifying 
Quiz 14  Rationalizing  topicrationalizing 
Quiz 15  Logic Symbols  theorylogicsymbols, topiclogicsymbols 
Mixed Topics 1  from grouping sets 1  5  
Mixed Topics 2  from grouping sets 6  10  
Mixed Topics 3  from grouping sets 11  15 