// Numbas version: exam_results_page_options
{"name": "\u00dcbungen (Lektion 2)", "metadata": {"description": "<p>&Uuml;bungen zum Thema &Auml;gypten</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": "\u00c4gyptische Bruchzahlen", "extensions": [], "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>Stammbruchentwicklungen</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Gegeben sind die Bruchzahlen $\\var[fractionNumbers]{d}$&nbsp;und $\\var[fractionNumbers]{f}$.</p>", "advice": "<p>a) M&ouml;gliche L&ouml;sungen sind (es gibt verschiedene Darstellungen):</p>\n<p>$\\var[fractionNumbers]{d}=\\var[fractionNumbers]{a}+\\var[fractionNumbers]{b}+\\var[fractionNumbers]{c}$ und $\\var[fractionNumbers]{f}=\\var[fractionNumbers]{h1}+\\var[fractionNumbers]{b}+\\var[fractionNumbers]{h2}$</p>\n<p>b) $\\var[fractionNumbers]{g}$</p>\n<p></p>", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "1/(random(1..2)*2)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "1/(2*(((1/a)+random(1..2  )))-1)", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "a/4", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "a+b+c", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "a+b-c", "description": "", "templateType": "anything"}, "g": {"name": "g", "group": "Ungrouped variables", "definition": "d-f", "description": "", "templateType": "anything"}, "h1": {"name": "h1", "group": "Ungrouped variables", "definition": "a/2", "description": "", "templateType": "anything"}, "h2": {"name": "h2", "group": "Ungrouped variables", "definition": "a/4", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h1", "h2"], "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 f&uuml;r beide Br&uuml;che eine Darstellung als &auml;gyptische Bruchzahl (als Summe von Stammbr&uuml;chen)!</p>\n<p>$\\var[fractionNumbers]{d}$=[[0]]&nbsp;$\\quad\\var[fractionNumbers]{f}$=&nbsp;[[1]]</p>\n<p><em><strong>Hinweis:</strong> Notieren Sie in der folgenden Form&nbsp;</em><code>1/9+1/16+...</code></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 246px; width: 0px; top: 60px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 231px; width: 50px; top: 45px; height: 20px; font-size: 10px; color: black;\"></span></p>", "gaps": [{"type": "jme", "useCustomName": true, "customName": "FirstUnitFraction", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{d}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "mustmatchpattern": {"pattern": "(`+( 1/($n) ))`* + $z", "partialCredit": 0, "message": "", "nameToCompare": ""}, "valuegenerators": []}, {"type": "jme", "useCustomName": true, "customName": "SecondUnitFraction", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{f}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "mustmatchpattern": {"pattern": "(`+( 1/($n) ))`* + $z", "partialCredit": 0, "message": "", "nameToCompare": ""}, "valuegenerators": []}], "sortAnswers": false}, {"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Ermitteln Sie die Differenz&nbsp;$\\var[fractionNumbers]{d}-\\var[fractionNumbers]{f}$ der umgewandelten Br&uuml;che (als &auml;gyptischen Bruch).</p>", "answer": "{g}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "mustmatchpattern": {"pattern": "( 1/($n) )", "partialCredit": 0, "message": "", "nameToCompare": ""}, "valuegenerators": []}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "\u00c4gyptische 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&nbsp;Trapez (bitte etwas Geduld beim Laden des Applets haben):</p>\n<p style=\"text-align: center;\">{geogebra_applet('https://www.geogebra.org/m/fauk4qpn',defs)}</p>", "advice": "<p>a)&nbsp;Hier ist zu berechnen: $A=\\frac{c+b}{2}\\cdot a=\\frac{(\\var{d}+\\var{f})}{2}\\cdot\\var{fakeh}=\\var{A_approx}$</p>\n<p>b) &nbsp;Hier ist zu berechnen: $A=\\frac{c+b}{2}\\cdot h=\\frac{(\\var{d}+\\var{f})}{2}\\cdot 4=\\var{A_precise}$</p>\n<p></p>", "rulesets": {}, "variables": {"pa": {"name": "pa", "group": "Ungrouped variables", "definition": "vector(d,0)", "description": "", "templateType": "anything"}, "pb": {"name": "pb", "group": "Ungrouped variables", "definition": "vector(b,4)", "description": "", "templateType": "anything"}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[['A',vector(0,0)],['B',pa],['C',pb],['D',pc]]", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "5", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(6..10)", "description": "<p>Parameter 1</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(1..3)", "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((d+f)/2*fakeh,3)", "description": "", "templateType": "anything"}, "A_precise": {"name": "A_precise", "group": "Ungrouped variables", "definition": "precround((d+f)/2*4,3)", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(2..3)", "description": "", "templateType": "anything"}, "pc": {"name": "pc", "group": "Ungrouped variables", "definition": "vector(b+f,4)", "description": "", "templateType": "anything"}, "fakeh": {"name": "fakeh", "group": "Ungrouped variables", "definition": "sqrt(b^2+4^2)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pa", "pb", "defs", "c", "d", "b", "a", "A_approx", "A_precise", "f", "pc", "fakeh"], "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 Trapezes gem&auml;&szlig; der &auml;gyptischen Regel (Papyrus Rhind, Aufgabe 52), wobei Sie die L&auml;nge $a$ als \"meret\" verwenden!</p>\n<p>A=[[0]]</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 76px; width: 0px; top: 35px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 61px; width: 50px; top: 20px; height: 20px; font-size: 10px; color: black;\"></span></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 des Trapezes gem&auml;&szlig; der &auml;gyptischen Regel (Papyrus Rhind, Aufgabe 52), wobei Sie die L&auml;nge $h$ als \"meret\" verwenden!</p>\n<p>A=[[0]]</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 31px; width: 0px; top: 30px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 16px; width: 50px; top: 15px; height: 20px; font-size: 10px; color: black;\"></span></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"}, {"name": "Hau-Rechnung", "extensions": [], "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>Gleichungen l&ouml;sen nach dem &auml;gyptischen Stile</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Gegeben sei das folgende Problem:</p>\n<p style=\"padding-left: 30px;\">Ein Haufen, ein {a_written} und ein {b_written} ergibt zusammen {c}.</p>", "advice": "<p>a) $x+\\frac{x}{\\var{a}}+\\frac{x}{\\var{b}}=\\var{c}$ (es z&auml;hlen auch alle &auml;quivalenten Gleichungen)</p>\n<p>b) <em>Der L&ouml;sungsweg wird hier soweit dies aufgrund der Zufallszahlen m&ouml;glich ist &auml;gypitisch dargestellt, an einer Stelle wird etwas abgek&uuml;rzt.</em></p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"3\" style=\"text-align: center;\"><strong>Rechenweg</strong></td>\n<td></td>\n<td style=\"text-align: left;\"><strong>Erl&auml;uterung</strong></td>\n</tr>\n<tr>\n<td>/</td>\n<td style=\"text-align: right;\">$1\\quad$</td>\n<td style=\"text-align: right;\">$\\var{Testzahl}$</td>\n<td>&nbsp; &nbsp;</td>\n<td style=\"text-align: left;\">Nehmen wir an der Haufen besteht aus {Testzahl} Teilen.</td>\n</tr>\n<tr>\n<td>/</td>\n<td style=\"text-align: right;\">$\\overline{\\var{a}}\\quad$</td>\n<td style=\"text-align: right;\">$\\var{Testzahl/a}$</td>\n<td></td>\n<td style=\"text-align: left;\">$\\qquad\\vdots$</td>\n</tr>\n<tr>\n<td>/</td>\n<td style=\"text-align: right;\">$\\overline{\\var{b}}\\quad$</td>\n<td style=\"text-align: right;\">$\\var{Testzahl/b}$</td>\n<td></td>\n<td style=\"text-align: left;\">$\\qquad\\vdots$</td>\n</tr>\n<tr>\n<td></td>\n<td style=\"text-align: right;\">$1\\,\\overline{\\var{min(a,b)}}\\,\\overline{\\var{max(a,b)}}\\quad$</td>\n<td style=\"text-align: right;\">$\\var{Zwischenergebnis}$</td>\n<td></td>\n<td style=\"text-align: left;\">Zusammen h&auml;tten wir dann {Zwischenergebnis} und nicht {c} Teile.</td>\n</tr>\n<tr>\n<td></td>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">Wie oft steckt {Zwischenergebnis} in {c} ?</td>\n</tr>\n<tr>\n<td></td>\n<td style=\"text-align: right;\">$\\var{c}:\\var{Zwischenergebnis}\\,=$</td>\n<td style=\"text-align: right;\">$\\, \\var{Korrekturfaktor}$</td>\n<td></td>\n<td style=\"text-align: left;\"><em>hier abgek&uuml;rzt, normalerweise \"&auml;gyptische Divison\"(Auff&uuml;llen durch Verdoppeln, Halbieren, etc.), s. Folien</em></td>\n</tr>\n<tr>\n<td></td>\n<td style=\"text-align: right;\">$\\var{Korrekturfaktor}\\cdot\\var{Testzahl}\\,=$</td>\n<td style=\"text-align: left;\">$\\,\\var{Ergebnis}$</td>\n<td></td>\n<td style=\"text-align: left;\">Man erh&auml;lt als \"Korrekturfaktor\" die Zahl {Korrekturfaktor}, mit dem man {Testzahl} multipliziert und die L&ouml;sung {Ergebnis} erh&auml;lt.</td>\n</tr>\n</tbody>\n</table>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 462px; width: 0px; top: 89px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 447px; width: 50px; top: 74px; height: 20px; font-size: 10px; color: black;\"></span></p>", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1..3)*2", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2..4)*2-1", "description": "", "templateType": "anything"}, "anteile": {"name": "anteile", "group": "Ungrouped variables", "definition": "['','','H\u00e4lfte','Drittel','Viertel','F\u00fcnftel','Sechstel','Siebtel','Achtel']", "description": "", "templateType": "anything"}, "a_written": {"name": "a_written", "group": "Ungrouped variables", "definition": "anteile[a]", "description": "", "templateType": "anything"}, "b_written": {"name": "b_written", "group": "Ungrouped variables", "definition": "anteile[b]", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "(ergebniszahl*a*b+b*ergebniszahl+a*ergebniszahl)/gcd(a,b)", "description": "", "templateType": "anything"}, "Testzahl": {"name": "Testzahl", "group": "Ungrouped variables", "definition": "lcm(a,b)", "description": "", "templateType": "anything"}, "Zwischenergebnis": {"name": "Zwischenergebnis", "group": "Ungrouped variables", "definition": "Testzahl+Testzahl/a+Testzahl/b", "description": "", "templateType": "anything"}, "ergebniszahl": {"name": "ergebniszahl", "group": "Ungrouped variables", "definition": "random(2..6)", "description": "", "templateType": "anything"}, "Korrekturfaktor": {"name": "Korrekturfaktor", "group": "Ungrouped variables", "definition": "c/Zwischenergebnis", "description": "", "templateType": "anything"}, "Ergebnis": {"name": "Ergebnis", "group": "Ungrouped variables", "definition": "Korrekturfaktor*Testzahl", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "anteile", "a_written", "b_written", "c", "Testzahl", "Zwischenergebnis", "ergebniszahl", "Korrekturfaktor", "Ergebnis"], "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>Wie lautet die zugeh&ouml;rige Gleichung in moderner Schreibweise (verwenden Sie $x$ f&uuml;r die \"Haufengr&ouml;&szlig;e\")?</p>\n<p>[[0]]$=\\var{c}$</p>\n<p><em><strong>Hinweis:</strong>&nbsp;Sie k&ouml;nnen auftretende Br&uuml;che als z.B.&nbsp;<code>x/12</code> oder&nbsp;<code>1/12x</code> oder <code>1/12*x</code> schreiben.</em></p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "x+x/{a}+x/{b}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": true, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}], "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 f&uuml;r diese Gleichung die L&ouml;sung &uuml;ber das Verfahren der \"Hau\"-Rechnung. Verwenden Sie dabei {Testzahl} als Testzahl.</p>\n<p><em>Vervollst&auml;ndigen Sie die zugeh&ouml;rigen&nbsp;Erl&auml;uterungen!</em></p>\n<ol>\n<li>Nehmen wir an, der Haufen best&uuml;nde aus&nbsp;[[0]] Teilen.</li>\n<li>Zusammen h&auml;tten wir dann&nbsp;[[1]] und nicht {c} Teile.</li>\n<li>Wie oft steckt&nbsp;[[1]]&nbsp;in {c} ?</li>\n<li>Man erh&auml;lt als \"Korrekturfaktor\" die Zahl&nbsp;[[2]], mit der man&nbsp;[[0]] multipliziert und die L&ouml;sung&nbsp;[[3]] erh&auml;lt.</li>\n</ol>\n<p style=\"padding-left: 30px;\"></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 60px; width: 0px; top: 116px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 45px; width: 50px; top: 101px; height: 20px; font-size: 10px; color: black;\"></span></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Testzahl", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Testzahl", "maxValue": "Testzahl", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "Zwischenergebnis", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Zwischenergebnis", "maxValue": "Zwischenergebnis", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "Korrekturfaktor", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Korrekturfaktor", "maxValue": "Korrekturfaktor", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Ergebnis", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Ergebnis", "maxValue": "Ergebnis", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["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": []}