213 lines
9.4 KiB
Python
213 lines
9.4 KiB
Python
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import xml.etree.ElementTree as ET
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import random
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from math import gcd
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import re
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def create_html_table_for_fracture_input(rows: list):
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table_rows = []
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# Tabellenzeilen festlegen
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for i, row in enumerate(rows):
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if (i % 2) == 0:
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table_row = "<tr style='border-bottom: 1px solid black;'>"
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else:
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table_row = "<tr>"
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for cell in row:
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table_row += f"<td style='padding: 5px;'>{cell}</td>"
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table_row += "</tr>"
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table_rows.append(table_row)
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# Tabelle zusammenbauen
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table_html = (
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f"<table style='border-collapse: collapse;'>\n"
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+ "\n".join(table_rows)
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+ "</table>"
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)
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return re.sub("\\s+", " ", table_html)
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def create_cloze_question(name, questiontext, question_math, calcstep_math, correct_answers, wrong_answers, feedback, tags):
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question = ET.Element('question', attrib={'type': 'cloze'})
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name_elem = ET.SubElement(question, 'name')
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text_elem = ET.SubElement(name_elem, 'text')
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text_elem.text = name
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questiontext_elem = ET.SubElement(question, 'questiontext', attrib={'format': 'html'})
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text_elem = ET.SubElement(questiontext_elem, 'text')
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# Erstelle die Tabelle für die Lücken
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rows_list = [
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["Zähler:", f"{{1:SHORTANSWER:={correct_answers[0]}~%0%{wrong_answers[0][0]}#{wrong_answers[0][1]}}}"],
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["Nenner:", f"{{1:SHORTANSWER:={correct_answers[1]}~%0%{wrong_answers[1][0]}#{wrong_answers[1][1]}}}"]
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]
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# Prüfe, ob der Bruch gekürzt werden kann
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if gcd(correct_answers[0], correct_answers[1]) > 1:
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common_divisor = gcd(correct_answers[0], correct_answers[1])
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reduced_numerator = correct_answers[0] // common_divisor
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reduced_denominator = correct_answers[1] // common_divisor
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rows_list.append(["Gekürzter Zähler:", f"{{1:SHORTANSWER:={reduced_numerator}~%0%{wrong_answers[2][0]}#{wrong_answers[2][1]}}}"])
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rows_list.append(["Gekürzter Nenner:", f"{{1:SHORTANSWER:={reduced_denominator}~%0%{wrong_answers[3][0]}#{wrong_answers[3][1]}}}"])
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cloze_text = create_html_table_for_fracture_input(rows_list)
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# Füge die Frage hinzu
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text_elem.text = questiontext + " " + cloze_text
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generalfeedback_elem = ET.SubElement(question, 'generalfeedback', attrib={'format': 'html'})
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text_elem = ET.SubElement(generalfeedback_elem, 'text')
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solution = f"<h3>Lösungshinweise:</h3>"
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solution += "<p>"
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# Musterlösung im LaTeX-Format
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if gcd(correct_answers[0], correct_answers[1]) > 1:
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solution += f"\\( {question_math} {calcstep_math} = \\frac{{{correct_answers[0]}}}{{{correct_answers[1]}}} = \\frac{{{reduced_numerator}}}{{{reduced_denominator}}} \\)."
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else:
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solution += f"\\( {question_math} {calcstep_math} = \\frac{{{correct_answers[0]}}}{{{correct_answers[1]}}} \\)"
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solution += "</p>"
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text_elem.text = solution
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defaultgrade_elem = ET.SubElement(question, 'defaultgrade')
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defaultgrade_elem.text = '1.0000000'
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penalty_elem = ET.SubElement(question, 'penalty')
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penalty_elem.text = '0.3333333'
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hidden_elem = ET.SubElement(question, 'hidden')
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hidden_elem.text = '0'
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# Tags hinzufügen
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tags_elem = ET.SubElement(question, 'tags')
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for tag in tags:
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tag_elem = ET.SubElement(tags_elem, 'tag')
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text_elem = ET.SubElement(tag_elem, 'text')
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text_elem.text = tag
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return question
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def lcm(a, b):
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return abs(a * b) // gcd(a, b)
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def create_quiz(questions):
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quiz = ET.Element('quiz')
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for q in questions:
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quiz.append(q)
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return quiz
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def save_to_file(xml_element, filename):
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tree = ET.ElementTree(xml_element)
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with open(filename, 'wb') as f:
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tree.write(f, encoding='utf-8', xml_declaration=True)
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questions = []
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# Generiere n Aufgaben zur Addition und Subtraktion von Brüchen mit verschiedenen Nennern
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n = 20
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for i in range(1, (n+1)):
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# Zähler und Nenner generieren
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numerator1 = random.randint(1, 20) # Zähler zwischen 1 und 20
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numerator2 = random.randint(1, 20) # Zähler zwischen 1 und 20
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numerator3 = random.randint(1, 20) # Zähler zwischen 1 und 20
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numerator4 = random.randint(1, 20) # Zähler zwischen 1 und 20
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denominator1 = random.randint(2, 10) # Nenner zwischen 2 und 10
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denominator2 = random.randint(2, 10) # Nenner zwischen 2 und 10
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denominator3 = random.randint(2, 10) # Nenner zwischen 2 und 10
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denominator4 = random.randint(2, 10) # Nenner zwischen 2 und 10
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# Berechne den gemeinsamen Nenner, der kleiner als 30 sein muss
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common_denominator = lcm(denominator1, lcm(denominator2, lcm(denominator3, denominator4)))
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while common_denominator >= 30:
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denominator1 = random.randint(2, 10)
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denominator2 = random.randint(2, 10)
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denominator3 = random.randint(2, 10)
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denominator4 = random.randint(2, 10)
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common_denominator = lcm(denominator1, lcm(denominator2, lcm(denominator3, denominator4)))
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# Berechne die äquivalenten Zähler
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equivalent_numerator1 = numerator1 * (common_denominator // denominator1)
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equivalent_numerator2 = numerator2 * (common_denominator // denominator2)
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equivalent_numerator3 = numerator3 * (common_denominator // denominator3)
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equivalent_numerator4 = numerator4 * (common_denominator // denominator4)
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operations = random.choice(["+ + +", "+ + -", "+ - +", "+ - -", "- + +", "- + -", "- - +", "- - -"]) # Zufällige Operationen
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if operations == "+ + +":
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result_numerator = equivalent_numerator1 + (equivalent_numerator2 + (equivalent_numerator3 + equivalent_numerator4))
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elif operations == "+ + -":
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result_numerator = equivalent_numerator1 + (equivalent_numerator2 + (equivalent_numerator3 - equivalent_numerator4))
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elif operations == "+ - +":
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result_numerator = equivalent_numerator1 + (equivalent_numerator2 - (equivalent_numerator3 + equivalent_numerator4))
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elif operations == "+ - -":
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result_numerator = equivalent_numerator1 + (equivalent_numerator2 - (equivalent_numerator3 - equivalent_numerator4))
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elif operations == "- + +":
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result_numerator = equivalent_numerator1 - (equivalent_numerator2 + (equivalent_numerator3 + equivalent_numerator4))
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elif operations == "- + -":
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result_numerator = equivalent_numerator1 - (equivalent_numerator2 + (equivalent_numerator3 - equivalent_numerator4))
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elif operations == "- - +":
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result_numerator = equivalent_numerator1 - (equivalent_numerator2 - (equivalent_numerator3 + equivalent_numerator4))
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else:
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result_numerator = equivalent_numerator1 - (equivalent_numerator2 - (equivalent_numerator3 - equivalent_numerator4))
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# Prüfe, ob der Bruch gekürzt werden kann
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needs_reduction = gcd(result_numerator, common_denominator) > 1
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question_puremath = f"\\Large \\displaystyle \\frac{{{numerator1}}}{{{denominator1}}} {operations[0]} \\left(\\frac{{{numerator2}}}{{{denominator2}}} {operations[2]} \\left(\\frac{{{numerator3}}}{{{denominator3}}} {operations[4]} \\frac{{{numerator4}}}{{{denominator4}}}\\right)\\right) ="
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# Frage im LaTeX-Format
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questiontext = (f"<p>Berechne und kürze das Ergebnis, wenn möglich:</p> "
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f"<p> \\( {question_puremath} \\) </p>")
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# Feedback-Ausgabe für notwendigen Zwischenschritt
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calculation_step_math = (f"\\frac{{{equivalent_numerator1}}}{{{common_denominator}}} {operations[0]} "
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f"\\left(\\frac{{{equivalent_numerator2}}}{{{common_denominator}}} {operations[2]} "
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f"\\left(\\frac{{{equivalent_numerator3}}}{{{common_denominator}}} {operations[4]} "
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f"\\frac{{{equivalent_numerator4}}}{{{common_denominator}}}\\right)\\right)")
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# Antworten
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correct_answers = [result_numerator, common_denominator]
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if needs_reduction:
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common_divisor = gcd(result_numerator, common_denominator)
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reduced_numerator = result_numerator // common_divisor
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reduced_denominator = common_denominator // common_divisor
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correct_answers.extend([reduced_numerator, reduced_denominator]) # Füge gekürzte Antworten hinzu
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wrong_answers = [
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(result_numerator + random.randint(1, 5), "Dieser Zähler ist zu hoch."), # Falscher Zähler
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(result_numerator - random.randint(1, 5), "Dieser Zähler ist zu niedrig."), # Falscher Zähler
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(reduced_numerator + random.randint(1, 3), "Dieser gekürzte Zähler ist nicht korrekt."), # Falscher gekürzter Zähler
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(reduced_denominator - random.randint(1, 3), "Dieser gekürzte Nenner ist nicht korrekt.") # Falscher gekürzter Nenner
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]
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else:
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wrong_answers = [
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(result_numerator + random.randint(1, 5), "Dieser Zähler ist zu hoch."), # Falscher Zähler
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(result_numerator - random.randint(1, 5), "Dieser Zähler ist zu niedrig.") # Falscher Zähler
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]
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feedback = "Richtig! Die Lösung ist korrekt."
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# Frage erstellen und hinzufügen
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questions.append(create_cloze_question(
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f"Addition/Subtraktion von 4 ungleichnamigen Brüchen {i}",
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questiontext,
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question_puremath,
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calculation_step_math,
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correct_answers,
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wrong_answers,
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feedback,
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["Mathematik", "Brüche", "Addition", "Subtraktion"]
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))
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# Erstelle das Quiz
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quiz = create_quiz(questions)
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# Speichere die XML-Datei
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save_to_file(quiz, 'cloze_4fraction_addition_subtraction_quiz.xml')
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print("Moodle-XML-Datei 'cloze_4fraction_addition_subtraction_quiz.xml' erfolgreich erstellt.")
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