// Numbas version: exam_results_page_options
{"name": "Some custom part types", "extensions": [], "custom_part_types": [{"source": {"pk": 3, "author": {"name": "Christian Lawson-Perfect", "pk": 7}, "edit_page": "/part_type/3/edit"}, "name": "Give a numerical input for an expression", "short_name": "give-a-numerical-input-for-an-expression", "description": "<p>The student gives&nbsp;a point $x$ at which to evaluate a given function $f$. The answer is correct if $f(x)$ is the expected value.</p>", "help_url": "", "input_widget": "number", "input_options": {"correctAnswer": "settings[\"correctAnswer\"]", "hint": {"static": true, "value": ""}, "allowedNotationStyles": {"static": true, "value": ["plain", "en", "si-en"]}, "allowFractions": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\nif(equal,\n   correct()\n,\n   incorrect(settings[\"student_value_description\"]+\" $\"+student_value+\"$.\")\n)\n\ninterpreted_answer:\nstudentAnswer\n\nstudent_value:\neval(settings[\"expression\"],[\"x\":studentAnswer])\n\nequal:\nwithintolerance(student_value,settings[\"expected_value\"],0.00001)", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "if(equal,\n   correct()\n,\n   incorrect(settings[\"student_value_description\"]+\" $\"+student_value+\"$.\")\n)"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "studentAnswer"}, {"name": "student_value", "description": "", "definition": "eval(settings[\"expression\"],[\"x\":studentAnswer])"}, {"name": "equal", "description": "", "definition": "withintolerance(student_value,settings[\"expected_value\"],0.00001)"}], "settings": [{"name": "expected_value", "label": "Expected value", "help_url": "", "hint": "The value that the function should take at the given point.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "correctAnswer", "label": "Correct answer", "help_url": "", "hint": "The value that the student should write.", "input_type": "string", "default_value": "", "subvars": true}, {"name": "student_value_description", "label": "Description of the student's value", "help_url": "", "hint": "", "input_type": "string", "default_value": "The value at your point is", "subvars": true}, {"name": "expression", "label": "Function to evaluate", "help_url": "", "hint": "The function that will be applied to the student's number.<br />The student's number will be substituted for $x$ in this expression.", "input_type": "mathematical_expression", "default_value": "", "subvars": true}], "public_availability": "always", "published": true, "extensions": []}, {"source": {"pk": 2, "author": {"name": "Christian Lawson-Perfect", "pk": 7}, "edit_page": "/part_type/2/edit"}, "name": "List of numbers", "short_name": "list-of-numbers", "description": "<p>The answer is a comma-separated list of numbers.</p>\n<p>The list is marked correct if each number occurs the same number of times as in the expected answer, and no extra numbers are present.</p>\n<p>You can optionally treat the answer as a set, so the number of occurrences doesn't matter, only whether each number is included or not.</p>", "help_url": "", "input_widget": "string", "input_options": {"correctAnswer": "join(\n  if(settings[\"correctAnswerFractions\"],\n    map(let([a,b],rational_approximation(x), string(a/b)),x,settings[\"correctAnswer\"])\n  ,\n    settings[\"correctAnswer\"]\n  ),\n  settings[\"separator\"] + \" \"\n)", "hint": {"static": false, "value": "if(settings[\"show_input_hint\"],\n  \"Enter a list of numbers separated by <code>{settings['separator']}</code>.\",\n  \"\"\n)"}, "allowEmpty": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "bits:\nlet(b,filter(x<>\"\",x,split(studentAnswer,settings[\"separator\"])),\n    if(isSet,list(set(b)),b)\n)\n\nexpected_numbers:\nlet(l,settings[\"correctAnswer\"] as \"list\",\n    if(isSet,list(set(l)),l)\n)\n\nvalid_numbers:\nif(all(map(not isnan(x),x,interpreted_answer)),\n    true,\n    let(index,filter(isnan(interpreted_answer[x]),x,0..len(interpreted_answer)-1)[0], wrong, bits[index],\n      warn(wrong+\" is not a valid number\");\n      fail(wrong+\" is not a valid number.\")\n    )\n  )\n\nis_sorted:\nassert(sort(interpreted_answer)=interpreted_answer,\n    multiply_credit(0.5,\"Not in order\")\n  )\n\nincluded:\nmap(\n      let(\n        num_student,len(filter(x=y,y,interpreted_answer)),\n        num_expected,len(filter(x=y,y,expected_numbers)),\n        switch(\n          num_student=num_expected,\n            true,\n          num_student<num_expected,\n            incorrect(\n              if(isSet,\"Your answer does not contain \"+x+\" but should.\",\n                \"Your answer does not contain \"+x+\" enough times.\"\n              )\n            );false\n          ,\n            incorrect(\n              if(isSet,\"Your answer contains \"+x+\" but should not.\",\n                \"Your answer contains \"+x+\" too many times.\"\n              )\n            );false\n        )\n      )\n      ,\n      x,\n      sort(list(set(expected_numbers)))\n  )\n\nall_included:\nall(included)\n\nno_extras:\nif(all(map(x in expected_numbers, x, interpreted_answer)),\n    true\n  ,\n    incorrect(\"Your answer contains \"+extra_numbers[0]+\" but should not.\");\n    false\n  )\n\ninterpreted_answer:\nif(lower(studentAnswer) in [\"empty\",\"\u2205\"],[],\n  map(\n    if(settings[\"allowFractions\"],parsenumber_or_fraction(x,notationStyles), parsenumber(x,notationStyles))\n    ,x\n    ,bits\n  )\n)\n\nmark:\nif(studentanswer=\"\",fail(\"You have not entered an answer\"),false);\napply(valid_numbers);\napply(included);\napply(no_extras);\ncorrectif(all_included and no_extras)\n\nnotationStyles:\n[\"en\"]\n\nisSet:\nsettings[\"isSet\"]\n\nextra_numbers:\nfilter(not (x in expected_numbers),x,interpreted_answer)", "marking_notes": [{"name": "bits", "description": "<p>The separate items in the student's answer</p>", "definition": "let(b,filter(x<>\"\",x,split(studentAnswer,settings[\"separator\"])),\n    if(isSet,list(set(b)),b)\n)"}, {"name": "expected_numbers", "description": "", "definition": "let(l,settings[\"correctAnswer\"] as \"list\",\n    if(isSet,list(set(l)),l)\n)"}, {"name": "valid_numbers", "description": "<p>Is every number in the student's list valid?</p>", "definition": "if(all(map(not isnan(x),x,interpreted_answer)),\n    true,\n    let(index,filter(isnan(interpreted_answer[x]),x,0..len(interpreted_answer)-1)[0], wrong, bits[index],\n      warn(wrong+\" is not a valid number\");\n      fail(wrong+\" is not a valid number.\")\n    )\n  )"}, {"name": "is_sorted", "description": "<p>Are the student's answers in ascending order?</p>", "definition": "assert(sort(interpreted_answer)=interpreted_answer,\n    multiply_credit(0.5,\"Not in order\")\n  )"}, {"name": "included", "description": "<p>Is each number in the expected answer present in the student's list the correct number of times?</p>", "definition": "map(\n      let(\n        num_student,len(filter(x=y,y,interpreted_answer)),\n        num_expected,len(filter(x=y,y,expected_numbers)),\n        switch(\n          num_student=num_expected,\n            true,\n          num_student<num_expected,\n            incorrect(\n              if(isSet,\"Your answer does not contain \"+x+\" but should.\",\n                \"Your answer does not contain \"+x+\" enough times.\"\n              )\n            );false\n          ,\n            incorrect(\n              if(isSet,\"Your answer contains \"+x+\" but should not.\",\n                \"Your answer contains \"+x+\" too many times.\"\n              )\n            );false\n        )\n      )\n      ,\n      x,\n      sort(list(set(expected_numbers)))\n  )"}, {"name": "all_included", "description": "<p>Has every number been included the right number of times?</p>", "definition": "all(included)"}, {"name": "no_extras", "description": "<p>True if the student's list doesn't contain any numbers that aren't in the expected answer.</p>", "definition": "if(all(map(x in expected_numbers, x, interpreted_answer)),\n    true\n  ,\n    incorrect(\"Your answer contains \"+extra_numbers[0]+\" but should not.\");\n    false\n  )"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "if(lower(studentAnswer) in [\"empty\",\"\u2205\"],[],\n  map(\n    if(settings[\"allowFractions\"],parsenumber_or_fraction(x,notationStyles), parsenumber(x,notationStyles))\n    ,x\n    ,bits\n  )\n)"}, {"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "if(studentanswer=\"\",fail(\"You have not entered an answer\"),false);\napply(valid_numbers);\napply(included);\napply(no_extras);\ncorrectif(all_included and no_extras)"}, {"name": "notationStyles", "description": "", "definition": "[\"en\"]"}, {"name": "isSet", "description": "<p>Should the answer be considered as a set, so the number of times an element occurs doesn't matter?</p>", "definition": "settings[\"isSet\"]"}, {"name": "extra_numbers", "description": "<p>Numbers included in the student's answer that are not in the expected list.</p>", "definition": "filter(not (x in expected_numbers),x,interpreted_answer)"}], "settings": [{"name": "correctAnswer", "label": "Correct answer", "help_url": "", "hint": "The list of numbers that the student should enter. The order does not matter.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "allowFractions", "label": "Allow the student to enter fractions?", "help_url": "", "hint": "", "input_type": "checkbox", "default_value": false}, {"name": "correctAnswerFractions", "label": "Display the correct answers as fractions?", "help_url": "", "hint": "", "input_type": "checkbox", "default_value": false}, {"name": "isSet", "label": "Is the answer a set?", "help_url": "", "hint": "If ticked, the number of times an element occurs doesn't matter, only whether it's included at all.", "input_type": "checkbox", "default_value": false}, {"name": "show_input_hint", "label": "Show the input hint?", "help_url": "", "hint": "", "input_type": "checkbox", "default_value": true}, {"name": "separator", "label": "Separator", "help_url": "", "hint": "The substring that should separate items in the student's list", "input_type": "string", "default_value": ",", "subvars": false}], "public_availability": "always", "published": true, "extensions": []}, {"source": {"pk": 4, "author": {"name": "Christian Lawson-Perfect", "pk": 7}, "edit_page": "/part_type/4/edit"}, "name": "Number entry modulo", "short_name": "number-entry-modulo", "description": "<p>The student's answer should be equivalent to the expected answer modulo the base set by the question author.</p>", "help_url": "", "input_widget": "number", "input_options": {"correctAnswer": "string(mod(settings[\"expected\"],settings[\"modulo\"]))", "hint": {"static": false, "value": "if(settings[\"show_hint\"], \"$\\\\pmod{\"+settings[\"modulo\"]+\"}$\", \"\")"}, "allowedNotationStyles": {"static": true, "value": ["plain", "en", "si-en"]}, "allowFractions": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\ncorrectif(interpreted_answer = expected_modulo)\n\ninterpreted_answer:\nmod(studentanswer,settings[\"modulo\"])\n\nexpected_modulo:\nmod(settings[\"expected\"],settings[\"modulo\"])", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "correctif(interpreted_answer = expected_modulo)"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "mod(studentanswer,settings[\"modulo\"])"}, {"name": "expected_modulo", "description": "<p>The expected answer, modulo the base.</p>", "definition": "mod(settings[\"expected\"],settings[\"modulo\"])"}], "settings": [{"name": "expected", "label": "Expected answer", "help_url": "", "hint": "<p>Answers congruent to this number, modulo the base defined below, will be marked correct.</p>", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "modulo", "label": "Base", "help_url": "", "hint": "Answers are compared modulo this number.", "input_type": "code", "default_value": "10", "evaluate": true}, {"name": "show_hint", "label": "Show modulo hint?", "help_url": "", "hint": "If ticked, $\\pmod{\\texttt{base}}$ will be shown to the right of the input box.", "input_type": "checkbox", "default_value": true}], "public_availability": "always", "published": true, "extensions": []}], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Some custom part types", "tags": [], "metadata": {"description": "<p>Examples of the following custom part types: Yes/no, List of numbers, Give a numerical input for an expression, Number entry modulo.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>This demo question contains some instances of custom part types.</p>", "advice": "<h4>a)</h4>\n<p>The discriminant of this quadratic is $\\simplify[]{{a_b}^2 - 4*{a_a}*{a_c} = {a_b^2-4*a_a*a_c}}$.<span data-jme-visible=\"a_solvable\"> This is not negative, so the quadratic has at least one real-valued solution.</span><span data-jme-visible=\"not a_solvable\"> This is negative, so the quadratic has no real-valued solutions.</span></p>\n<h4>b)</h4>\n<p>The first five terms are:</p>\n<p>\\begin{align}<br/>a_0 &amp;= \\var{b_0} \\\\<br/>a_1 &amp;= \\var{b_1} \\\\<br/>a_2 &amp;= a_1+a_0 = \\var{b_0+b_1} \\\\<br/>a_3 &amp;= a_2+a_1 = \\var{b_0+2b_1} \\\\<br/>a_4 &amp;= a_3+a_2 = \\var{2b_0+3b_1}<br/>\\end{align}</p>\n<h4>c)</h4>\n<p>$\\simplify{cos(pi/2 + n*pi)} = 0$ for all integers $n$, so we need $\\simplify{x/{c}pi = pi/2+n*pi}$.</p>\n<p>One solution is $x = \\var{c/2}$.</p>\n<h4>d)</h4>\n<p>One solution is $\\var{d_rem}$.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a_c": {"name": "a_c", "group": "Yes/no", "definition": "random(-5 .. 5#1)", "description": "", "templateType": "randrange", "can_override": false}, "c": {"name": "c", "group": "Give input to function", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "b_0": {"name": "b_0", "group": "List of numbers", "definition": "random(1 .. 9#1)", "description": "", "templateType": "randrange", "can_override": false}, "d_base": {"name": "d_base", "group": "Number modulo", "definition": "random(5 .. 15#2)", "description": "", "templateType": "randrange", "can_override": false}, "a_solvable": {"name": "a_solvable", "group": "Yes/no", "definition": "a_b^2-4*a_a*a_c > 0", "description": "", "templateType": "anything", "can_override": false}, "b_1": {"name": "b_1", "group": "List of numbers", "definition": "random(1 .. 9#1)", "description": "", "templateType": "randrange", "can_override": false}, "d_rem": {"name": "d_rem", "group": "Number modulo", "definition": "random(0..d_base-1)", "description": "", "templateType": "anything", "can_override": false}, "a_b": {"name": "a_b", "group": "Yes/no", "definition": "random(-5 .. 5#1)", "description": "", "templateType": "randrange", "can_override": false}, "a_a": {"name": "a_a", "group": "Yes/no", "definition": "random(-5 .. 5#1)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Yes/no", "variables": ["a_a", "a_b", "a_c", "a_solvable"]}, {"name": "List of numbers", "variables": ["b_0", "b_1"]}, {"name": "Give input to function", "variables": ["c"]}, {"name": "Number modulo", "variables": ["d_base", "d_rem"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "list-of-numbers", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>A sequence is defined by</p>\n<p>\\begin{align}<br/>a_0 &amp;= \\var{b_0} \\\\<br/>a_1 &amp;= \\var{b_1} \\\\<br/>a_{n+2} &amp;= a_{n+1} + a_n<br/>\\end{align}</p>\n<p>Write the first five terms of the sequence.</p>", "settings": {"correctAnswer": "[\n  b_0,\n  b_1,\n  b_0+b_1,\n  b_0+2*b_1,\n  2*b_0+3*b_1\n]", "allowFractions": false, "correctAnswerFractions": false, "isSet": false, "show_input_hint": true, "separator": ","}}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>A function is defined by</p>\n<p>\\[ f(x) = \\simplify[basic,unitdenominator]{cos(x/{c}*pi)} \\]</p>\n<p>Find $x$ such that $f(x) = 0$.</p>\n<p>$x = $ [[0]]</p>", "gaps": [{"type": "give-a-numerical-input-for-an-expression", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"expected_value": "0", "correctAnswer": "{c/2}", "student_value_description": "The value at your point is", "expression": "cos(x/{c}*pi)"}}], "sortAnswers": false}, {"type": "number-entry-modulo", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Write down a number which has remainder $\\var{d_rem}$ when divided by $\\var{d_base}$.</p>", "settings": {"expected": "d_rem", "modulo": "d_base", "show_hint": true}}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}]}