Zauberkessel：Integer Comparison and Sorting in GeoGebra

GeoGebra Commands & Parameters

1. Sequence(Random[1, 4], i, 1, numberOfQuestions) → randomNumbersCorrectElements, {3, 2, 4, 3, 1, 4, 4, 1, 4, 1, 1, 3, 1, 2, 4, 2, 3, 2, 4, 2, 2, 1, 2, 2, 3, 3, 2, 1, 1, 1, 4, 1, 1, 3, 4, 1, 2, 3, 3, 2, 2, 4, 3, 3, 2, 1, 2, 4, 3, 4}
2. Element(randomNumbersCorrectElements, Mod[questionCount, Length[randomNumbersCorrectElements]] + 1) → actualRandomNumberCorrectElements
3. Join({Join[{Shuffle[{1, 2}], {3}}], Sequence[Random[1, 3], i, 1, numberOfQuestions - 1]}) → randomTypes
4. Sequence(Random[-20, If[randomTypes(i) ≟ 3, 13, RandomElement[{0, 20}]]], i, 1, numberOfQuestions) → randomNumbers1, {-5, 16, 6, 4, -4, -20, -19, 11, -4, -14, -15, -6, -5, 8, -7, -4, -10, -4, -1, -2, 12, 0, -19, -19, -5, -2, -15, -1, -3, -3, -5, -13, -12, -1, 1, -9, -12, -8, -18, -1, -19, -4, -11, -12, -12, -4, -3, 7, 8, 1}
5. Sequence(Random[randomNumbers1(i) + 5, 20], i, 1, numberOfQuestions) → randomNumbers2Type3, {16, 20, 16, 19, 8, 10, -7, 20, 3, -7, 6, 20, 15, 20, 4, 5, 15, 18, 13, 11, 19, 14, -1, 14, 16, 5, -3, 5, 8, 20, 13, 14, -7, 14, 16, 4, -5, 18, -9, 14, -8, 2, -5, -7, 5, 7, 16, 19, 19, 16}
6. Sequence(Shuffle[-31…(randomNumbers1(i) - 1)], i, 1, numberOfQuestions) → randomNumbersKleiner, {{-9, -17, -30, -23, -7, -26, -19, -16, -8, -24, -6, -20, -22, -14, -27, -11, -28, -25, -31, -12, -10, -29, -18, -15, -21, -13}, {-15, -16, 8, 7, -4, -27, 2, -11, 12, -7, 13, 5, -26, -18, 11, 9, -10, -8, 14, 3, -24, -31, -19, -12, -3, -23, 4, -28, -14, 15, -25, -13, -21, -20, 6, -6, -5, -30, -2, -17, 10, -1, 0, -9, -29, 1, -22}, {-7, -5, -29, -14, 5, -19, -20, -30, -24, -26, -12, -21, -23, -22, -11, -13, -2, -15, -16, 3, 2, 4, -3, -9, -25, -6, -10, -31, -17, -27, -18, -28, 0, -4, -1, 1, -8}, {-23, -8, -31, -3, -7, -14, -21, -10, 2, -26, -13, 0, -22, -4, -11, -2, 3, -30, -12, -5, -17, -27, -18, -15, -24, -19, -6, -20, -16, -9, -28, -1, -25, -29, 1}, {-7, -27, -23, -13, -15, -26, -6, -16, -24, -29, -10, -18, -14, -30, -17, -12, -31, -5, -22, -19, -11, -28, -8, -25, -21, -20, -9}, {-25, -28, -21, -23, -24, -29, -30, -26, -31, -27, -22}, {-30, -23, -27, -28, -29, -22, -26, -21, -24, -20, -31, -25}, {-13, -14, -24, -25, -11, -20, -30, -18, -1, 10, -12, -16, 0, -2, -21, 9, -8, -29, -15, -26, -19, 3, -23, 6, 2, -10, -27, 1, -7, -6, -17, -31, -28, -9, 4, -4, 7, -22, 5, -3, 8, -5}, {-25, -31, -5, -28, -30, -10, -24, -20, -6, -26, -19, -13, -27, -16, -12, -23, -8, -18, -29, -9, -21, -7, -15, -22, -17, -11, -14}, {-15, -31, -28, -25, -23, -16, -22, -26, -30, -24, -19, -17, -20, -21, -27, -18, -29}, {-29, -26, -20, -31, -25, -21, -17, -27, -18, -24, -30, -22, -23, -16, -19, -28}, {-26, -24, -8, -22, -15, -31, -7, -14, -11, -20, -30, -13, -12, -21, -23, -18, -28, -25, -27, -19, -17, -29, -16, -9, -10}, {-9, -22, -11, -20, -7, -8, -18, -27, -6, -12, -19, -10, -14, -28, -26, -17, -30, -21, -29, -23, -13, -25, -24, -31, -16, -15}, {-16, -28, -19, -23, 7, 1, -10, -6, 0, -4, -31, 6, -21, -9, -17, 4, -7, -18, 3, -25, -22, -26, -5, -2, -1, 2, -12, -11, -29, -27, -30, -24, -3, -13, -14, -8, -15, 5, -20}, {-19, -21, -26, -20, -16, -28, -29, -8, -17, -24, -30, -25, -12, -9, -22, -18, -14, -10, -23, -15, -13, -11, -27, -31}, {-16, -25, -22, -12, -24, -7, -23, -9, -11, -14, -5, -6, -20, -19, -13, -27, -26, -15, -30, -17, -18, -28, -8, -29, -31, -21, -10}, {-15, -11, -28, -17, -30, -21, -22, -27, -18, -25, -20, -31, -24, -26, -29, -12, -23, -13, -19, -14, -16}, {-5, -18, -23, -28, -8, -14, -9, -27, -16, -30, -13, -7, -22, -31, -11, -10, -20, -21, -12, -26, -24, -25, -6, -29, -15, -19, -17}, {-29, -2, -22, -24, -19, -13, -12, -9, -17, -8, -31, -28, -20, -15, -14, -7, -11, -10, -4, -30, -3, -5, -26, -16, -27, -25, -6, -18, -23, -21}, {-13, -23, -19, -6, -31, -22, -9, -10, -29, -16, -4, -20, -24, -5, -3, -11, -27, -12, -14, -8, -7, -18, -26, -15, -17, -21, -30, -28, -25}, {10, 0, 2, 11, 8, -17, -20, -2, -3, -19, -27, -22, -13, -8, 9, -11, 3, 7, -16, -30, 4, -1, -10, -23, -5, -15, -24, -18, -12, -31, -21, -29, -7, -26, 5, -25, 6, -9, -14, -6, 1, -4, -28}, {-20, -15, -6, -19, -30, -10, -12, -23, -26, -18, -8, -25, -28, -31, -24, -9, -13, -27, -29, -17, -22, -1, -11, -4, -21, -16, -3, -14, -7, -2, -5}, {-25, -27, -21, -23, -20, -29, -22, -28, -26, -31, -24, -30}, {-29, -25, -28, -23, -30, -21, -22, -20, -26, -27, -24, -31}, {-25, -6, -13, -31, -19, -29, -30, -18, -8, -10, -7, -22, -28, -11, -14, -9, -12, -21, -26, -15, -20, -17, -16, -23, -27, -24}, {-10, -18, -27, -19, -8, -11, -16, -31, -9, -15, -5, -26, -30, -7, -28, -21, -25, -17, -24, -13, -20, -29, -22, -4, -23, -3, -12, -14, -6}, {-22, -21, -17, -27, -18, -23, -29, -26, -31, -20, -24, -16, -28, -30, -19, -25}, {-6, -23, -30, -11, -17, -5, -8, -21, -18, -12, -16, -3, -14, -24, -4, -28, -25, -27, -15, -29, -22, -7, -2, -9, -20, -10, -19, -13, -26, -31}, {-8, -20, -26, -19, -9, -29, -12, -31, -6, -18, -14, -17, -4, -7, -5, -22, -13, -21, -30, -10, -11, -27, -23, -24, -16, -15, -25, -28}, {-15, -17, -8, -14, -4, -7, -28, -25, -12, -21, -6, -30, -23, -13, -10, -31, -24, -20, -18, -9, -26, -11, -22, -27, -19, -29, -16, -5}, {-28, -25, -15, -21, -17, -29, -22, -8, -24, -23, -6, -16, -10, -20, -9, -19, -13, -26, -7, -27, -11, -31, -12, -14, -30, -18}, {-30, -17, -15, -27, -18, -20, -16, -29, -23, -22, -21, -19, -24, -14, -31, -28, -25, -26}, {-13, -14, -22, -23, -31, -25, -30, -20, -28, -19, -17, -15, -21, -26, -16, -24, -27, -18, -29}, {-13, -17, -12, -22, -14, -16, -26, -4, -18, -25, -23, -20, -11, -30, -21, -9, -15, -3, -27, -10, -19, -31, -8, -2, -29, -7, -6, -5, -28, -24}, {-9, -4, -22, -16, -29, -12, -27, -14, -28, -30, -2, -7, -6, -31, -23, -15, -1, -21, -11, -26, -10, -19, -17, -13, -25, -20, 0, -24, -18, -5, -8, -3}, {-11, -23, -10, -30, -14, -28, -24, -31, -26, -20, -25, -13, -27, -18, -16, -29, -22, -19, -15, -12, -17, -21}, {-20, -23, -29, -30, -13, -25, -14, -27, -18, -24, -17, -15, -16, -22, -26, -28, -21, -31, -19}, {-23, -28, -25, -26, -30, -10, -18, -29, -11, -20, -22, -17, -9, -12, -21, -31, -13, -16, -27, -24, -15, -19, -14}, {-21, -27, -22, -24, -28, -31, -19, -29, -23, -25, -30, -20, -26}, {-27, -23, -18, -3, -11, -12, -10, -4, -21, -22, -25, -19, -2, -24, -16, -31, -30, -29, -5, -20, -28, -6, -9, -13, -26, -17, -15, -8, -14, -7}, {-24, -26, -23, -31, -25, -22, -29, -27, -28, -20, -30, -21}, {-9, -21, -30, -15, -17, -29, -26, -11, -22, -20, -16, -18, -8, -31, -27, -19, -12, -5, -23, -14, -28, -6, -13, -10, -24, -25, -7}, {-18, -24, -13, -20, -16, -27, -19, -30, -22, -12, -26, -23, -15, -25, -17, -31, -14, -28, -29, -21}, {-17, -24, -16, -29, -21, -18, -23, -14, -30, -13, -26, -27, -22, -31, -15, -28, -19, -20, -25}, {-30, -24, -26, -19, -17, -22, -14, -31, -27, -28, -15, -16, -23, -29, -18, -13, -20, -21, -25}, {-12, -28, -11, -16, -10, -7, -29, -19, -23, -18, -27, -20, -24, -26, -21, -8, -9, -17, -6, -31, -5, -22, -30, -14, -15, -25, -13}, {-26, -8, -20, -18, -17, -12, -10, -19, -22, -21, -30, -16, -25, -9, -29, -4, -5, -28, -31, -24, -14, -7, -11, -15, -27, -6, -13, -23}, {-17, -18, -7, 5, -4, -14, -10, -25, -5, -29, -6, 6, -13, -28, -27, -8, -11, -16, 4, -3, -20, -22, 0, -21, 3, -1, 2, -2, -15, 1, -31, -23, -19, -24, -26, -12, -30, -9}, {-19, -11, -6, -14, 2, 1, -5, -21, -23, -10, -13, -4, -2, -9, -30, -25, 6, -16, -31, -26, -29, 7, -24, -7, 4, -27, -1, -20, -18, 3, -12, -17, -8, -22, -3, -28, 0, 5, -15}, {-1, -3, -28, -22, -16, -23, -11, -27, -17, -8, -30, -12, -20, -26, -24, -9, -25, -14, -21, -10, -2, 0, -6, -13, -5, -19, -7, -29, -15, -18, -31, -4}}
7. Sequence(Shuffle[If[randomTypes(i) ≟ 3, randomNumbers2Type3(i) + 1, randomNumbers1(i) + 1]…31], i, 1, numberOfQuestions) → randomNumbersGroeßer, {{8, 23, -4, 12, 9, 26, 21, 16, 3, 11, 2, 20, 22, 5, 4, 29, 28, 14, 0, -3, 15, 13, 18, 10, 25, 6, 1, -1, 30, -2, 19, 31, 7, 24, 27, 17}, {18, 28, 26, 19, 20, 21, 17, 31, 30, 29, 22, 24, 27, 25, 23}, {19, 28, 24, 17, 31, 30, 25, 29, 18, 26, 20, 22, 23, 27, 21}, {27, 22, 31, 26, 28, 30, 21, 25, 20, 23, 29, 24}, {14, 1, 28, 29, 21, 7, 15, 17, 22, 30, 24, 20, 8, 11, 13, 4, 9, 31, 6, 12, -2, -3, 19, 0, 27, 3, 25, 18, 23, 26, 2, 16, 5, -1, 10}, {24, 18, 31, 22, 15, 30, 26, 13, 11, 25, 27, 14, 28, 23, 17, 12, 19, 20, 29, 16, 21}, {16, 22, -2, 15, 9, 5, 10, 14, 24, 30, 2, 27, 25, 7, 20, 13, 28, -1, 18, 19, 3, 21, 23, -4, -5, 0, 1, -6, 29, 8, 6, 26, -3, 31, 4, 17, 12, 11}, {27, 24, 29, 30, 26, 23, 22, 28, 25, 21, 31}, {20, 4, 11, 23, 31, 28, 29, 6, 10, 27, 7, 24, 5, 19, 17, 8, 15, 18, 22, 14, 9, 13, 12, 25, 21, 16, 30, 26}, {10, 8, 1, 14, 4, 19, 22, 18, -10, 2, -12, 24, 26, 20, -9, -5, 29, 28, 7, 9, -11, 5, 23, 13, -8, 11, 31, 15, -13, -7, 3, 17, 16, 21, -6, 25, -2, -3, 30, 0, 27, 6, -4, -1, 12}, {14, 3, 7, -1, 31, 2, 28, -6, -5, -8, -10, -7, 0, 15, 23, 16, 26, -14, -9, 4, 20, 25, -4, -3, 6, -12, 13, 9, 30, 22, 1, -2, 17, 5, 8, 24, 11, 10, 29, 12, 18, -11, 21, 19, 27, -13}, {23, 22, 29, 31, 26, 21, 30, 24, 25, 27, 28}, {16, 25, 30, 17, 19, 24, 31, 26, 22, 18, 21, 29, 20, 23, 27, 28}, {18, 28, 26, 27, 31, 24, 17, 23, 19, 21, 16, 29, 12, 15, 30, 20, 9, 10, 11, 13, 14, 22, 25}, {16, -1, 26, 15, 29, 23, 6, 17, 3, 4, 0, -5, 7, 19, 1, 9, -4, 10, 27, 12, 5, 21, 11, 28, 25, 14, -2, 8, 18, 24, 31, 13, 22, 20, -6, 30, -3, 2}, {14, 16, 17, 13, -2, 22, 5, 9, 11, 27, 30, 1, 6, 0, 23, -1, 29, 21, 26, 8, 24, 7, 2, 3, 25, 19, -3, 28, 18, 10, 31, 12, 4, 15, 20}, {21, 12, 24, 28, 27, -8, 0, 19, -4, -2, -5, -9, -7, 23, 16, 17, 5, 2, 4, 11, 9, 15, 26, 20, 31, 13, 30, -3, 22, 25, -6, 18, 29, 1, 3, 14, 6, 7, 10, -1, 8}, {17, 26, 24, 20, 27, 19, 14, 3, -3, 18, 16, 15, 29, 22, 23, 9, -2, 12, 10, -1, 6, 5, 7, 1, 13, 8, 0, 25, 11, 21, 4, 31, 28, 2, 30}, {18, 31, 22, 23, 26, 21, 0, 2, 27, 20, 4, 19, 7, 25, 24, 13, 10, 12, 29, 3, 15, 1, 6, 14, 30, 9, 8, 16, 5, 28, 11, 17}, {3, 4, 19, 29, 5, 7, 0, 25, 2, 14, 1, 11, 24, 18, 10, 22, 12, 26, 27, 17, 16, 30, 8, 23, 6, 28, 9, 21, 13, 31, -1, 15, 20}, {31, 29, 23, 28, 24, 21, 27, 20, 25, 30, 26, 22}, {17, 24, 21, 27, 25, 22, 15, 29, 31, 23, 28, 16, 19, 26, 30, 18, 20}, {1, 23, 22, 13, 11, 21, 27, 5, 10, 4, 0, 15, 6, 24, 14, 2, 19, 12, 26, 28, 30, 29, 18, 9, 7, 20, 3, 16, 31, 8, 17, 25}, {2, -1, -18, 10, 7, 16, 11, 0, 6, 26, 8, -10, 30, -4, 14, 1, 29, -9, 13, 28, -5, 17, 9, 27, -14, 4, -2, 21, 24, -13, -7, -15, 12, 3, -17, -11, 20, -8, -16, -3, 18, 5, 31, 22, -6, 15, -12, 19, 25, 23}, {-1, 13, 28, 0, 24, 29, -3, 18, 14, 7, 5, -2, 15, 30, 31, 22, 26, 16, 4, 20, 9, 2, -4, 21, 25, 8, 10, 3, 23, 6, 1, 12, 11, 17, 27, 19}, {15, 13, 16, 22, 7, 1, 19, 11, 28, 10, 24, 0, 26, 5, 6, 21, 17, 9, 14, 3, 12, 25, 31, 8, 30, 18, 4, -1, 27, 2, 23, 20, 29}, {6, 31, 22, 17, 19, 25, 24, 28, 14, 10, 13, 1, 9, 18, 16, -2, 8, 3, 0, 27, 15, 4, 11, 29, 7, 12, 23, 21, -1, 20, 5, 2, 30, 26}, {19, 9, 11, 14, 26, 7, 15, 3, 21, 4, 23, 22, 28, 24, 20, 16, 1, 31, 0, 13, 12, 27, 8, 18, 25, 6, 5, 17, 10, 2, 30, 29}, {4, 3, 5, 13, 23, 9, 17, 25, 0, 10, 27, 30, 21, 2, 12, 8, 14, 22, 18, 31, 26, 11, 1, -2, 6, 28, 19, 16, 24, -1, 7, 29, 20, 15}, {8, 15, 28, 10, 19, 26, 24, 1, 31, -1, 3, 4, 27, -2, 21, 12, 13, 20, 23, 2, 14, 16, 22, 6, 18, 0, 11, 25, 29, 7, 9, 30, 5, 17}, {1, 22, 24, -2, 0, 4, 2, 23, 31, 16, 15, 11, 5, 20, 10, 25, 19, 17, 3, 6, -1, 7, 26, -3, 29, 8, 30, 27, -4, 18, 12, 13, 14, 28, 9, 21}, {-8, -3, 30, 14, 16, 20, 13, -9, 27, 11, 31, -1, 21, 7, 28, 4, 19, 26, 24, -11, 15, 22, 5, 10, -4, 0, 2, 25, -5, 6, 3, 1, 9, 12, 23, -6, -2, 29, 18, 8, 17, -10, -12, -7}, {17, -5, 16, 8, 29, 12, 13, 1, 19, 15, 3, 6, 5, 2, 31, -2, 4, 11, 18, 27, 26, 0, 30, -3, 22, 9, 14, 25, 21, -4, -1, -6, 7, 10, 28, 20, 24, 23}, {3, 16, 4, 21, 18, 29, 2, 1, 6, 22, 9, 12, 11, 20, 10, 31, 5, 15, 7, 30, 25, 27, 14, 23, 13, 28, 0, 17, 19, 8, 24, 26}, {14, 19, 11, 25, 18, 13, 31, 3, 20, 30, 7, 26, 28, 23, 2, 29, 15, 27, 17, 9, 5, 22, 8, 4, 6, 16, 21, 24, 10, 12}, {20, 6, 26, 17, 22, 30, 9, 27, 8, 19, 25, 3, 12, 7, 11, -7, -6, 28, -4, 4, 24, 15, 23, 5, 16, -5, -3, 18, 2, -2, 0, 29, 14, -1, 21, -8, 31, 10, 13, 1}, {-8, 25, 18, 23, 6, 31, 15, -3, -4, -11, -10, 22, 21, 27, 17, -9, 30, -1, 1, 9, -7, 28, 8, 16, 13, 20, 24, -5, 0, -2, 10, 12, 3, 14, 11, 2, 26, 7, 29, 5, 19, -6, 4}, {8, -1, 24, 16, -6, 2, 6, -3, 7, 12, 1, 4, 22, 20, 18, 25, 19, 3, 5, 10, 27, 13, 17, 23, 11, 21, 29, -2, -7, -4, 26, 14, 9, 15, 0, 28, 30, -5, 31}, {22, 28, -11, -8, 3, -4, 20, 29, 7, 0, 25, 24, -9, -5, 9, -1, 4, 14, -14, -12, -10, 15, -7, -15, 8, 10, -3, 2, 31, 5, -2, -13, 1, 17, -17, 16, 13, 26, -16, 30, 21, 6, 11, 12, 19, 27, 23, -6, 18}, {26, 9, 31, 7, 1, 5, 21, 12, 17, 30, 3, 2, 19, 6, 11, 15, 14, 13, 10, 28, 22, 16, 8, 4, 18, 27, 24, 0, 29, 25, 23, 20}, {29, -6, 27, 8, -16, 7, -1, 21, 1, -3, -14, 24, 0, 5, -2, -5, 16, 3, 4, 14, -15, 11, 9, 10, 17, 31, -9, -12, -4, -13, 15, 18, 12, 26, 19, 22, 2, 13, -7, 25, 28, -17, -8, 6, -11, -10, 20, -18, 23, 30}, {20, 15, 8, 4, 17, 23, 29, 19, 28, 25, 24, 11, 18, 10, 13, 30, 9, 31, 5, 3, 27, 7, 21, 6, 22, 12, 14, 26, 16}, {13, 20, 21, -1, 28, 14, 10, 12, 5, 1, 0, 7, 3, 31, 2, 23, 30, 25, 6, 19, 17, 26, 9, -3, -2, 4, 27, 16, 11, 18, 15, 22, -4, 8, 29, 24}, {-7, 16, 12, 25, 2, 26, -1, 22, 30, 13, 24, 11, -4, 8, 6, -8, 3, 19, 29, 14, 27, 4, 15, 31, -3, 10, 23, 18, -10, 21, 7, 9, 0, -6, 28, 1, 17, -2, 5, -11, 20, -9, -5}, {29, 13, 11, 31, 26, 25, 24, 14, 27, 12, 19, 7, 10, 16, 17, 9, 28, 18, 21, 6, 8, 30, 22, 20, 15, 23}, {21, 3, 1, 4, 8, 15, 12, 24, 14, -2, 19, 18, 17, 7, -3, 23, 5, 9, 30, 22, 11, 16, 20, 28, -1, 0, 29, 10, 31, 6, 2, 13, 27, 26, 25}, {15, 12, 22, 2, 30, 11, 3, 18, 17, 7, 23, 20, 5, 19, 26, 16, 14, 21, 9, 28, 0, 29, 25, 6, 1, 27, -1, 24, 31, 10, 8, -2, 4, 13}, {27, 14, 31, 28, 15, 24, 17, 19, 10, 26, 13, 21, 11, 29, 9, 12, 25, 30, 8, 23, 16, 20, 18, 22}, {30, 13, 19, 27, 14, 25, 28, 21, 18, 17, 16, 22, 29, 9, 15, 12, 20, 11, 26, 23, 31, 24, 10}, {20, 19, 5, 18, 7, 2, 16, 17, 9, 13, 8, 26, 4, 21, 29, 23, 24, 6, 22, 15, 10, 11, 3, 30, 31, 12, 28, 27, 14, 25}}
8. Sequence(Shuffle[(randomNumbers1(i) + 1)…(randomNumbers2Type3(i) - 1)], i, 1, numberOfQuestions) → randomNumbersZwischenTyp3, {{15, 6, 1, 3, 4, 14, 11, -4, -1, 10, 13, 7, -2, 8, 9, 0, 12, 2, 5, -3}, {19, 17, 18}, {13, 15, 12, 9, 14, 8, 10, 7, 11}, {6, 5, 8, 12, 16, 13, 7, 10, 17, 9, 11, 18, 14, 15}, {7, 1, 4, -2, 5, -3, 6, -1, 2, 0, 3}, {-14, 2, -4, -13, -18, 8, -5, 1, -10, 4, -19, 0, -15, -3, 9, -8, -2, -16, -12, -17, -7, -6, 3, -1, 5, 6, -9, -11, 7}, {-17, -18, -11, -9, -15, -14, -13, -16, -10, -8, -12}, {13, 16, 14, 19, 15, 17, 12, 18}, {-1, 1, 2, -3, -2, 0}, {-11, -9, -12, -13, -8, -10}, {-8, -4, 2, -3, -12, 0, 1, -10, -2, 5, -6, -9, -1, -7, 4, -11, 3, -13, -14, -5}, {11, 14, 3, -2, 9, 18, 4, 10, 2, 17, 12, 16, 13, 1, 0, 8, -3, 7, -4, 15, -5, 19, 6, 5, -1}, {6, -2, -3, 4, 13, 11, 7, 8, 1, 3, 10, 9, 0, 5, 12, 2, 14, -1, -4}, {17, 11, 15, 13, 16, 9, 12, 10, 18, 19, 14}, {-3, 3, -4, -6, 2, 0, -2, -5, 1, -1}, {-1, 1, 2, 4, -2, 3, -3, 0}, {-7, -1, -5, 13, 6, 5, 12, 0, -2, 2, 14, -9, 8, 11, 3, 1, -4, -8, -3, -6, 10, 9, 7, 4}, {-1, 1, 14, 9, 3, 16, 0, 13, 15, 5, -2, 6, 10, 7, -3, 17, 8, 11, 12, 2, 4}, {0, 4, 3, 11, 5, 2, 9, 8, 12, 6, 7, 1, 10}, {5, 3, -1, 7, 8, 4, 1, 2, 6, 10, 0, 9}, {13, 18, 17, 14, 15, 16}, {5, 10, 8, 9, 4, 12, 2, 7, 11, 13, 6, 1, 3}, {-13, -4, -18, -11, -5, -7, -3, -12, -17, -15, -2, -8, -10, -16, -9, -6, -14}, {-16, 3, 10, 2, 7, -1, 8, -2, 6, 13, 9, -4, -11, 11, -17, 5, -8, 1, -12, -14, -9, -6, -10, 12, -15, -18, 4, -7, -3, -13, -5, 0}, {15, 11, 4, 12, 2, 7, 8, -1, 6, 13, 1, 3, 5, -4, -2, 10, -3, 14, 0, 9}, {1, 2, 4, 0, -1, 3}, {-13, -11, -4, -14, -6, -9, -7, -12, -10, -5, -8}, {4, 2, 0, 1, 3}, {4, 1, 5, 7, 0, 6, -1, 3, 2, -2}, {12, -2, 13, 17, 18, 9, 0, 4, 11, 1, 15, 6, 19, 2, 5, -1, 8, 7, 3, 14, 16, 10}, {7, 3, 11, 12, 2, 1, -1, 4, 0, 9, -3, 8, -4, 10, 5, -2, 6}, {-9, -3, -1, 8, 7, 0, -11, -8, -5, -2, -4, -10, 11, 10, 3, 6, 9, 4, -6, 5, -12, -7, 1, 12, 2, 13}, {-11, -8, -9, -10}, {10, 13, 4, 3, 11, 1, 6, 12, 7, 0, 2, 8, 9, 5}, {13, 6, 14, 7, 15, 12, 2, 4, 8, 10, 9, 3, 11, 5}, {-6, -8, 2, -4, -3, 1, -5, -7, 3, 0, -1, -2}, {-6, -10, -11, -9, -8, -7}, {17, 1, -3, 13, 6, 0, -5, -4, -1, 5, 2, 4, 16, 3, 9, -6, 15, 7, 10, -2, 11, -7, 12, 14, 8}, {-13, -17, -12, -11, -14, -10, -16, -15}, {0, 9, 5, 7, 3, 2, 8, 11, 13, 10, 12, 1, 4, 6}, {-9, -17, -11, -18, -10, -16, -13, -12, -15, -14}, {-2, -1, 0, -3, 1}, {-7, -8, -9, -10, -6}, {-11, -8, -10, -9}, {-9, -3, -5, 0, -10, -1, -7, -2, -6, 3, -8, 4, 1, 2, -4, -11}, {3, -1, 0, 6, 5, -2, -3, 1, 4, 2}, {5, 15, 6, 0, 9, 4, 13, 11, 3, 7, 14, -1, 8, 12, 10, -2, 1, 2}, {10, 16, 9, 12, 17, 15, 11, 13, 8, 18, 14}, {15, 13, 14, 9, 18, 11, 12, 17, 16, 10}, {3, 14, 5, 4, 10, 13, 2, 12, 11, 7, 6, 15, 9, 8}}
9. Sequence(If[randomTypes(i) ≟ 1, First[randomNumbersGroeßer(i), 12 - randomNumbersCorrectElements(i)], If[randomTypes(i) ≟ 2, First[randomNumbersKleiner(i), 12 - randomNumbersCorrectElements(i)], If[randomTypes(i) ≟ 3, Join[{First[randomNumbersKleiner(i), ceil((12 - randomNumbersCorrectElements(i)) / 2)], First[randomNumbersGroeßer(i), floor((12 - randomNumbersCorrectElements(i)) / 2)]}]]]], i, 1, numberOfQuestions) → incorrectElements
10. Sequence(If[randomTypes(i) ≟ 1, First[randomNumbersKleiner(i), randomNumbersCorrectElements(i)], If[randomTypes(i) ≟ 2, First[randomNumbersGroeßer(i), randomNumbersCorrectElements(i)], If[randomTypes(i) ≟ 3, First[randomNumbersZwischenTyp3(i), randomNumbersCorrectElements(i)]]]], i, 1, numberOfQuestions) → correctElements
11. Sort(Element[correctElements, Mod[questionCount, Length[correctElements]] + 1]) → actualCorrectElements
12. Element(incorrectElements, Mod[questionCount, Length[incorrectElements]] + 1) → actualIncorrectElements
13. If(Defined[IndexOf[true, zahlInKessel]], IndexOf[true, zahlInKessel] ≤ actualRandomNumberCorrectElements, false) → correct
14. Element(randomTypes, Mod[questionCount, Length[randomTypes]] + 1) → actualRandomType
15. If(Defined[IndexOf[true, zahlInKessel]], CountIf[a ≟ true, a, zahlInKessel] ≟ 1, false) → clickableBtnValidate
16. Textfield(input) → inputBox
17. Element(randomNumbers1, Mod[questionCount, Length[randomNumbers1]] + 1) → actualRandomNumber1
18. Element(randomNumbers2Type3, Mod[questionCount, Length[randomNumbers2Type3]] + 1) → actualRandomNumber2
19. Segment(zahlenstrahlStart - (zahlenstrahlUeberstand, 0), zahlenstrahlEnde + (zahlenstrahlUeberstand, 0)) → zahlenstrahl
20. Sequence(numMinimum + i, i, 0, numDif, 1) → zahlenstrahlWerte, {-20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
21. Sequence((zahlenstrahlXWert + (zahlenstrahlEinheit * i), zahlenstrahlYWert), i, 0, numDif, 1) → zahlenstrahlPunkteAlle
22. RemoveUndefined(Sequence[If[Mod[zahlenstrahlWerte(i + 1), 10] ≟ 0 ∨ Mod[zahlenstrahlWerte(i + 1), 5] ≟ 0, (zahlenstrahlXWert + (zahlenstrahlEinheit * i), zahlenstrahlYWert)], i, 0, numDif]) → zahlenstrahlPunkte10er
23. Join({Sequence[Segment[zahlenstrahlPunkte10er(i) + (0, zahlenstrahlLinienLaenge + 0.1), zahlenstrahlPunkte10er(i) - (0, zahlenstrahlLinienLaenge + 0.1)], i, 1, Length[zahlenstrahlPunkte10er], 1], Sequence[Segment[zahlenstrahlPunkteNicht10er(i) + (0, zahlenstrahlLinienLaenge), zahlenstrahlPunkteNicht10er(i) - (0, zahlenstrahlLinienLaenge)], i, 1, Length[zahlenstrahlPunkteNicht10er], 1]}) → zahlenstrahlLinien
24. RemoveUndefined(Sequence[If[Mod[zahlenstrahlWerte(i + 1), 10] ≟ 0 ∨ Mod[zahlenstrahlWerte(i + 1), 5] ≟ 0, zahlenstrahlWerte(i + 1)], i, 0, numDif]) → zahlenstrahlWerte10er
25. Sequence(Text["\textsf{\(" + (zahlenstrahlWerte10er(i)) + "\)}", zahlenstrahlPunkte10er(i) - (If[zahlenstrahlWerte10er(i) < 0, 0.13, 0], 0.2), true, true, 0, -1], i, 1, Length[zahlenstrahlPunkte10er], 1) → zahlenstrahlBeschriftung
26. Point(Join[{{(1, zahlenstrahlYWert + 1)}, zahlenstrahlPunkteAlle}]) → PNum1
27. Point(Join[{{(2, zahlenstrahlYWert + 1)}, zahlenstrahlPunkteAlle}]) → PNum2
28. Ellipse(zauberkesselAreaA, zauberkesselAreaB, zauberkesselAreaC) → zauberkesselAreaEllipse
29. Sequence(Corner[Object["txt" + (If[i < 10, "0", ""]) + (i)], 1], i, 1, 12) → textPunkte
30. Shuffle({(1, 5), (2.5, 5.5), (4, 5), (5.5, 5.5), (1.5, 6.5), (3, 7), (4.5, 6.5), (6, 7), (1, 8), (2.5, 8.5), (4, 8), (5.5, 8.5)}) → resetPositions, {(3, 7), (1.5, 6.5), (1, 8), (4, 8), (2.5, 8.5), (4.5, 6.5), (1, 5), (6, 7), (2.5, 5.5), (5.5, 8.5), (5.5, 5.5), (4, 5)}
31. If(actualRandomType ≟ 1, Segment[zahlenstrahlStart - (zahlenstrahlUeberstand, 0), PNum1Correct - (0.3, 0)], If[actualRandomType ≟ 2, Segment[PNum1Correct + (0.3, 0), zahlenstrahlEnde + (zahlenstrahlUeberstand, 0)], If[actualRandomType ≟ 3, Segment[PNum1Correct + (0.3, 0), PNum2Correct - (0.3, 0)]]]) → zahlenstrahlSolution