// Numbas version: exam_results_page_options
{"name": "\u00dcbungen (Lektion1)", "metadata": {"description": "<p>&Uuml;bungsbeispiele zur 1. Lektion</p>", "licence": "Creative Commons Attribution 4.0 International"}, "duration": 0, "percentPass": "0", "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "questions": [{"name": "Keilschriftzahlen", "extensions": [], "custom_part_types": [], "resources": [["question-resources/num22074.png", "/srv/numbas/media/question-resources/num22074.png"], ["question-resources/num22641.png", "/srv/numbas/media/question-resources/num22641.png"], ["question-resources/num25532.png", "/srv/numbas/media/question-resources/num25532.png"], ["question-resources/num35112.png", "/srv/numbas/media/question-resources/num35112.png"], ["question-resources/num40169.png", "/srv/numbas/media/question-resources/num40169.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}], "tags": [], "metadata": {"description": "<p>Umwandlung von keilschriftzahlen in Dezimalzahl und Dezimalbruch, Zufallswerte.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Die Baylonischen Keilschriftzahlen wurden sowohl f&uuml;r nat&uuml;rliche Zahlen als auch f&uuml;r Bruchzahlen verwendet, dabei ergeben sich Mehrdeutigkeiten in der Zahldarstellung.</p>\n<p style=\"text-align: center;\">{image('resources/question-resources/'+chosenimage2)}</p>\n<p>Zur Vereinfachung gehen&nbsp;wir&nbsp;davon aus, dass zwischen&nbsp;den hier dargestellten drei Zifferngruppen keine leeren Stellenwerte vorkommen.</p>\n<p></p>\n<p></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 311px; width: 0px; top: 97px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 296px; width: 50px; top: 82px; height: 20px; font-size: 10px; color: black;\"></span></p>", "advice": "<p>a) Dargestellt sind die Ziffern $\\var{chosenfact[0]},\\var{chosenfact[1]},\\var{chosenfact[2]}$.</p>\n<p>b) Es ergibt sich&nbsp;$\\var{chosenfact[0]}\\cdot 60^2+\\var{chosenfact[1]}\\cdot 60^1+\\var{chosenfact[2]}\\cdot 60^0=\\var{whole}$.</p>\n<p>c) Es ergibt sich&nbsp;$\\var{chosenfact[0]}\\cdot 60^0+\\var{chosenfact[1]}\\cdot 60^{-1}+\\var{chosenfact[2]}\\cdot 60^{-2}\\approx\\var{fraction}$</p>", "rulesets": {}, "variables": {"facts": {"name": "facts", "group": "Ungrouped variables", "definition": "[[6, 17, 21], [7, 5, 32], [6, 7, 54], [9, 45, 12],[11, 9, 29]]", "description": "", "templateType": "anything"}, "index": {"name": "index", "group": "Ungrouped variables", "definition": "random(0..len(images)-1)", "description": "", "templateType": "anything"}, "chosenfact": {"name": "chosenfact", "group": "Ungrouped variables", "definition": "facts[index]", "description": "", "templateType": "anything"}, "chosenimage": {"name": "chosenimage", "group": "Ungrouped variables", "definition": "random(images)", "description": "", "templateType": "anything"}, "chosenimage2": {"name": "chosenimage2", "group": "Ungrouped variables", "definition": "images[index]", "description": "", "templateType": "anything"}, "images": {"name": "images", "group": "Ungrouped variables", "definition": "['num22641.png','num25532.png','num22074.png','num35112.png','num40169.png']", "description": "", "templateType": "anything"}, "whole": {"name": "whole", "group": "Ungrouped variables", "definition": "chosenfact[0]*3600+chosenfact[1]*60+chosenfact[2]", "description": "", "templateType": "anything"}, "fraction": {"name": "fraction", "group": "Ungrouped variables", "definition": "precround(chosenfact[0]+chosenfact[1]/60+chosenfact[2]/3600,5)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": "10"}, "ungrouped_variables": ["index", "chosenimage2", "chosenimage", "images", "facts", "chosenfact", "whole", "fraction"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ".copyright-footer{\n  display:none;}"}, "parts": [{"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>Ermitteln Sie die in den drei dargestellten Zifferngruppen dargestellten Ziffern ($0&lt;z_n&lt;60$).</p>\n<p>1.&nbsp;Zifferngruppe: $z_1=$ [[0]] <br/>2.&nbsp;Zifferngruppe:&nbsp;$z_2=$[[1]] <br/>3.&nbsp;Zifferngruppe:&nbsp;$z_3=$[[2]]</p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 41px; width: 0px; top: 26px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 26px; width: 50px; top: 11px; height: 20px; font-size: 10px; color: black;\"></span></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "chosenfact[0]", "maxValue": "chosenfact[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "chosenfact[1]", "maxValue": "chosenfact[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "chosenfact[2]", "maxValue": "chosenfact[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Welche ganze Zahl (im Dezimalsystem) ergibt sich, wenn die letzte Zifferngruppe Einer darstellt?&nbsp;</p>\n<p></p>", "minValue": "whole", "maxValue": "whole", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Welcher Dezimalbruch ergibt sich, wenn die&nbsp;erste Zifferngruppe Einer darstellt?&nbsp;</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>\n<p></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 60px; width: 0px; top: 34px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 45px; width: 50px; top: 19px; height: 20px; font-size: 10px; color: black;\"></span></p>", "minValue": "fraction-0.00006", "maxValue": "fraction+0.00006", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Babylonisches Wurzelziehen", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}], "tags": [], "metadata": {"description": "<p>Wirzelziehen nach der baylonischen Methode.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Ermitteln Sie f&uuml;r die Zahl $N=\\var{N}$ nach der babylonischen Methode mit Startwert $a_0=\\var{a0}$ n&auml;herungsweise die Wurzel durch zweifache Iteration.</p>\n<p><em>Bitte&nbsp; jeweils Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>", "advice": "<p>Mit Startwert $a_0=\\var{a0}$ ergibt sich f&uuml;r $N=\\var{N}$</p>\n<ol>\n<li>$B_1=a_0^2-N=\\var{a0}^2-\\var{N}=\\var{B1}$ <br/>und $a_1=a_0-\\frac{1}{2}\\cdot\\frac{B_1}{a_0}=\\var{a0}-\\frac{1}{2}\\cdot\\frac{\\var{B1}}{\\var{a0}}\\approx\\var{precround(a1,5)}$.</li>\n<li>$B_2=a_1^2-N\\approx\\var{precround(a1,5)}^2-\\var{N}\\approx\\var{precround(B2,5)}$ <br/>und $a_2=a_1-\\frac{1}{2}\\cdot\\frac{B_2}{a_1}\\approx\\var{precround(a1,5)}-\\frac{1}{2}\\cdot\\frac{\\var{precround(B2,5)}}{\\var{precround(a1,5)}}\\approx\\var{precround(a2,5)}$.</li>\n</ol>\n<p><em>Anders als oben dargestellt sollte mit ungerundeten Werten oder Bruchzahlen als Zwischenergebnissen weitergerechnet werden.</em></p>", "rulesets": {}, "variables": {"squares": {"name": "squares", "group": "Ungrouped variables", "definition": "[3,5,7,11,13,17,19]", "description": "", "templateType": "anything"}, "index": {"name": "index", "group": "Ungrouped variables", "definition": "random(0..len(squares)-1)", "description": "", "templateType": "anything"}, "N": {"name": "N", "group": "Ungrouped variables", "definition": "squares[index]", "description": "", "templateType": "anything"}, "a0": {"name": "a0", "group": "Ungrouped variables", "definition": "precround(N^0.5+0.5,0)", "description": "", "templateType": "anything"}, "B1": {"name": "B1", "group": "Ungrouped variables", "definition": "a0^2-N", "description": "", "templateType": "anything"}, "a1": {"name": "a1", "group": "Ungrouped variables", "definition": "a0-1/2*(B1/a0)", "description": "", "templateType": "anything"}, "B2": {"name": "B2", "group": "Ungrouped variables", "definition": "a1^2-N  ", "description": "", "templateType": "anything"}, "a2": {"name": "a2", "group": "Ungrouped variables", "definition": "a1-1/2*(B2/a1)", "description": "", "templateType": "anything"}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[['z_1',4]]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["squares", "index", "N", "a0", "B1", "a1", "B2", "a2", "defs"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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>Erste Iteration: $a_1=$[[0]]</p>\n<p>Zweite Iteration: $a_2=$[[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "precround(a1-0.000005,5)", "maxValue": "precround(a1+0.000005,5)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "5", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "precround(a2-0.000005,5)", "maxValue": "precround(a2+0.000005,5)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "5", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "eu"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Babylonische Fl\u00e4chenberechnung", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}], "tags": [], "metadata": {"description": "<p>Rechnen mit der N&auml;herungsformel und exakt.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Gegeben ist das folgende Viereck (bitte etwas Geduld beim Laden des Applets haben):</p>\n<p style=\"text-align: center;\">{geogebra_applet('https://www.geogebra.org/m/b7qqv88a',defs)}</p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 52px; width: 0px; top: 39px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 37px; width: 50px; top: 24px; height: 20px; font-size: 10px; color: black;\"></span></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 430px; width: 0px; top: 65px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 415px; width: 50px; top: 50px; height: 20px; font-size: 10px; color: black;\"></span></p>", "advice": "<p>a) Die N&auml;herungsformel f&uuml;r allgemeine Vierecke lautet: $\\frac{(a+c)}{2}\\cdot\\frac{(b+d)}{2}$, eingesetzt:</p>\n<p>$\\frac{(\\var{a}+\\var{c})}{2}\\cdot\\frac{(\\var{b}+\\var{d})}{2}\\approx\\var{A_approx}$</p>\n<p>b) Die Fl&auml;chenformel f&uuml;r ein rechtwinkliges Trapez lautet:&nbsp;$c\\cdot\\frac{(b+d)}{2}$, eingesetzt:</p>\n<p>$\\var{c}\\cdot\\frac{(\\var{b}+\\var{d})}{2}\\approx\\var{A_precise}$</p>", "rulesets": {}, "variables": {"pa": {"name": "pa", "group": "Ungrouped variables", "definition": "vector(0,d)", "description": "", "templateType": "anything"}, "pb": {"name": "pb", "group": "Ungrouped variables", "definition": "vector(5,b)", "description": "", "templateType": "anything"}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[['A',pa],['B',pb]]", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "5", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(9..15)/2", "description": "<p>Parameter 1</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(8..16)/4", "description": "<p>Parameter 2</p>", "templateType": "anything"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "precround((c^2+(d-b)^2)^0.5,3)", "description": "", "templateType": "anything"}, "A_approx": {"name": "A_approx", "group": "Ungrouped variables", "definition": "precround((a+c)/2*(b+d)/2,3)", "description": "", "templateType": "anything"}, "A_precise": {"name": "A_precise", "group": "Ungrouped variables", "definition": "precround(c*(b+d)/2,3)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pa", "pb", "defs", "c", "d", "b", "a", "A_approx", "A_precise"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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>Ermitteln Sie den Fl&auml;cheninhalt des Vierecks mit der babylonischen N&auml;herungsformel f&uuml;r allgemeine Vierecke!</p>\n<p>A=[[0]]</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A_approx-0.0005", "maxValue": "A_approx+0.0005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}, {"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>Ermitteln Sie den Fl&auml;cheninhalt&nbsp;mit der f&uuml;r dieses Viereck&nbsp;exakten Formel.</p>\n<p>A=[[0]]</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A_precise-0.0005", "maxValue": "A_precise+0.0005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": false, "showresultspage": "oncompletion", "navigatemode": "menu", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}], "extensions": ["geogebra"], "custom_part_types": [], "resources": [["question-resources/num22074.png", "/srv/numbas/media/question-resources/num22074.png"], ["question-resources/num22641.png", "/srv/numbas/media/question-resources/num22641.png"], ["question-resources/num25532.png", "/srv/numbas/media/question-resources/num25532.png"], ["question-resources/num35112.png", 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