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| {{Formulas question type}}
| | #REDIRECT [[Formulas_question_type]] |
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| =Hon Wai Lau's examples=
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| <div style="border:1px solid #bce8f1;border-radius:4px;padding: 0px 15px 0px; margin:30px 0 25px;">
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| ====<div style="font-family:Lucida Sans Unicode;font-size:116%;color:#f98012;margin:-20px 0 10px;>Example 1.1: Minimal question</div>====
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| For a minimal question, you must define a sub-question with:
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| * mark
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| * answer
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| * grading criteria
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| * question text (optional)
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| <pre style="font-size:113%;width: 97%;">
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| General
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| Question name! Minimal question
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| Main question
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| Question text! What is 2 + 2?
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| Part 1
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| Part's mark* 1
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| Answer type Number
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| Answer* 4
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| Grading criteria* Relative error < 0.01
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| </pre>
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| The Formulas question should look like this:
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| [[File:Formules201801261903.png|818px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=291 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| </div>
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| <div style="border:1px solid #bce8f1;border-radius:4px;padding: 0px 15px 0px; margin:30px 0 25px;">
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| ====<div style="font-family:Lucida Sans Unicode;font-size:116%;color:#f98012;margin:-20px 0 10px;>Example 1.2: Generate random data</div>====
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| Random data can be defined in the random variables, such as <span style="font-family:monospace;font-size:113%;">a = {2,3,4,5}</span>. Upon quiz generation, one deterministic value will be chosen.
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| <pre style="font-size:113%;width: 97%;">
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| General
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| Question name! Generate random data
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| Variables
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| Random variables a = {2,3,4,5};
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| Main question
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| Question text! In this instantiation, a takes the value {a}.
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| Part 1
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| Part's mark* 1
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| Answer type Number
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| Answer* a
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| Grading criteria* Relative error < 0.01
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| Part's text Enter the value of a:
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| </pre>
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| The Formulas question should look like this:
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| [[File:Formules201801261929.png|680px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=293 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| </div>
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| <div style="border:1px solid #bce8f1;border-radius:4px;padding: 0px 15px 0px; margin:30px 0 25px;">
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| ====<div style="font-family:Lucida Sans Unicode;font-size:116%;color:#f98012;margin:-20px 0 10px;>Example 1.3: Multiple parts</div>====
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| By default, all parts will be added at the end of the question. If placeholders are used, the parts will be inserted at the location of placeholders.
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| <pre style="font-size:113%;width: 97%;">
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| General
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| Question name Multiple parts
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| Main question
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| Question text This is the beginning of the main question text.
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| {#1}
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| This is the continuation of the main question text.
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| {#2}
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| This is the continuation and the end of the main question text.
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| Part 1
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| Part's mark 1
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| Answer type Number
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| Answer 3
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| Grading criteria Relative error < 0.01
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| Placeholder name #1
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| Part's text This is the text of Part 1. The correct answer is 3:
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| Part 2
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| Part's mark 1
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| Answer type Number
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| Answer 1
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| Grading criteria Relative error < 0.01
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| Placeholder name #2
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| Part's text This is the text of Part 2. The correct answer is 1:
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| Part 3
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| Part's mark 1
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| Answer type Number
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| Answer 4
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| Grading criteria Relative error < 0.01
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| Part's text This is the text of Part 3. The correct answer is 4:
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| </pre>
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| With the question behaviour set to '''Interactive with multiple tries''', the Formulas question should look like this:
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| [[File:Formules201801262037.png|818px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=319 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| With the question behaviour set to '''Adaptive mode''', the Formulas question should look like this:
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| [[File:Formules201801262039.png|818px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=318 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| <div style="background-color:#d3ffd3;
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| border:1px solid #abdaac;
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| border-radius:4px;
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| color:#4f691a;
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| padding:5px 15px 5px;
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| margin: 15px 0 0;
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| ">
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| An important advantage of the '''Adaptive mode''' behaviour is that '''''all''''' the answers do not have to be entered before they can be checked by clicking the '''Check''' button. Thus, the answers for each part can be checked one at a time or as they are entered.
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| </div>
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| </div>
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| <div style="border:1px solid #bce8f1;border-radius:4px;padding: 0px 15px 0px; margin:30px 0 25px;">
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| ====<div style="font-family:Lucida Sans Unicode;font-size:116%;color:#f98012;margin:-20px 0 10px;>Example 1.4: Placeholders of numbers and unit</div>====
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| This question shows different display methods of the number and unit boxes.
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| <pre style="font-size:113%;width: 97%;">
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| General
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| Question name 04 Placeholders of numbers and unit
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| Variables
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| Random variables v = {20:100:10};
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| dt = {2:6};
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| Global variables s = v*dt;
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| Main question
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| Question text If a car travels {s} m in {dt} s, what is the speed of the car?
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| Part 1
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| Part's mark 1
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| Answer type Number
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| Answer v
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| Grading criteria Relative error < 0.01
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| Unit m/s
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| Part's text Number box and unit box side by side
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| {_0}{_u}
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| Part 2
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| Part's mark 1
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| Answer type Number
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| Answer v
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| Grading criteria Relative error < 0.01
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| Unit m/s
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| Part's text Number box and unit box side by side
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| {_0} {_u}
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| Part 3
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| Part's mark 1
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| Answer type Number
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| Answer v
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| Grading criteria Relative error < 0.01
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| Unit m/s
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| Part's text No unit box
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| {_0} m/s
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| Part 4
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| Part's mark 1
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| Answer type Number
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| Answer v
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| Grading criteria Relative error < 0.01
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| Unit m/s
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| Part's text No unit box
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| speed = {_0} m/s
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| </pre>
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| The Formulas question should look like this:
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| [[File:Formules201801272226.png|680px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=325 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| </div>
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| <div style="border:1px solid #bce8f1;border-radius:4px;padding: 0px 15px 0px; margin:30px 0 25px;">
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| ====<div style="font-family:Lucida Sans Unicode;font-size:116%;color:#f98012;margin:-20px 0 10px;>Example 3.2: Variable multiple and variable range</div>====
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| This question is similar to [[Formulas:_Answers_and_marking#Example:_Multiples_of_7_between_10_and_100.C2.A0.C2.A0.C2.A0.28Mark_.3D_0.2C_0.5_or_1.29|'''Example: Multiples of 7 between 10 and 100 (Mark = 0, 0.5 or 1)''']], except that the multiples are multiple of a variable ''d'' which can be 5, 6, 7, 8 or 9, and that the range is variable by requiring that ''x'' satisfies ''a'' < ''x'' < ''b'' where ''a'' = ''k''*''d''-3, ''b'' = (''k''+2)*''d''-2 and ''k'' ranges from 4 to 9.
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| <pre style="font-size:113%;width: 97%;">
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| General
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| Question name 3.2 Variable multiple and variable range
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| Variables
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| Random variables k = {4:10:1};
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| d = {5,6,7,8,9};
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| Global variables a = k*d-3;
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| b = (k+2)*d-2;
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| Main question
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| Question text Two Grading criteria are defined here, each of which is worth half a mark.
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| Part 1
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| Part's mark* 1
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| Answer type Number
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| Answer* k*d
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| Grading variables criterion1 = _0 % d == 0;
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| criterion2 = a <= _0 && _0 <= b;
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| Grading criteria (criterion1 + criterion2)/2
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| Part's text Give a number x that is a multiple of {d} and satisties {a} < x < {b}:
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| </pre>
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| The Formulas question should look like this:
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| [[File:Formulas en 20180128 2128.png|818px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=330 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| </div>
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| <div style="border:1px solid #bce8f1;border-radius:4px;padding: 0px 15px 0px; margin:30px 0 25px;">
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| ====<div style="font-family:Lucida Sans Unicode;font-size:116%;color:#f98012;margin:-20px 0 10px;>Example 5.5: Roots of a quadratic function</div>====
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| <div style="background-color:#d3ffd3;
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| border:1px solid #abdaac;
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| border-radius:4px;
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| color:#4f691a;
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| padding:5px 15px 5px;
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| margin: 15px 0 0;
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| ">This question is a good example of how a question can be built by taking advantage of the power of the '''Formulas''' question. By formulating the solution in reverse, results can often be obtained that would be difficult or impossible to achieve otherwise.
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| </div>
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| The technique is illustrated by the problem of finding the roots of a quadratic function. Here is what is easily obtained: the coefficients of the quadratic function are variable and whole numbers, and the roots are always two, real and whole numbers. Here is how it is done:
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| Let<br>
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| f(x) = x<sup>2</sup> + bx + c = 0<br>
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| where<br>
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| b = -(r<sub>1</sub> + r<sub>2</sub>)<br>
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| and<br>
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| c = r<sub>1</sub>*r<sub>2</sub><br>
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| Thus,<br>
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| x<sup>2</sup> - (r<sub>1</sub> + r<sub>2</sub>)x + r<sub>1</sub>r<sub>2</sub> = 0<br>
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| with roots<br>
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| x<sub>1</sub>, x<sub>2</sub> = [ (r<sub>1</sub> + r<sub>2</sub>) ± √ (r<sub>1</sub> + r<sub>2</sub>)<sup>2</sup> - 4 r<sub>1</sub> r<sub>2</sub> ] / 2<br>
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| = r<sub>1</sub>, r<sub>2</sub>
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| The 'trick' is to define the coefficients of the quadratic as a function of the roots.
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| <pre style="font-size:113%;width: 97%;">
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| General
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| Question name 5.5 Roots of a quadratic function
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| Variables
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| Random variables r1 = {-9:-1};
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| r2 = {-9:-1};
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| symbol = {"t","w","x","z"};
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| Global variables x1 = min(r1,r2);
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| x2 = max(r1,r2);
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| Main question
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| Question text Roots of a quadratic function
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| Part 1
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| Part's mark 1
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| Local variables b = -(r1 + r2);
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| c = r1*r2;
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| Answer type Number
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| Answer [x1,x2]
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| Grading criteria Absolute error == 0
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| Part's text What are the roots of the quadratic function f({symbol}) = {symbol}<sup>2</sup> + {b}{symbol} + {c}?
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| Enter the smaller root first
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| {symbol} = {_0} and {symbol} = {_1}
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| </pre>
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| The Formulas question should look like this:
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| [[File:Formules201801261903.png|818px]]
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| <div style="margin:20px 0 20px;">
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| <span style="background-color:#f98012;box-shadow: 0 5px 10px #cbcbcb;border: none;color:white;padding: 8px 16px;text-align:center;text-decoration: none;cursor:pointer;">[http://35.193.77.29/mod/quiz/view.php?id=333 <span style="color:white;">Play it </span>]</span> [[Formulas_question_type#Examples|Login info]] ''(Open in new tab: Ctrl+Shift+Click)''
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| </div>
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| </div>
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| [[#top|Back to top of page]]
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| [[Formulas_question_type|← FORMULAS QUESTION TYPE]]
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| ===In other languages===
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| [https://docs.moodle.org/all/es/F%C3%B3rmulas:_Los_ejemplos_de_Hon_Wai_Lau Español]<br>
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| [https://docs.moodle.org/3x/fr/Formules:_Les_exemples_de_Hon_Wai_Lau Français]
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