Venn Diagram Club

{
  "finish": "Wonderful work. You found intersections, unions and the different regions of a Venn diagram.",
  "steps": [
    {
      "question": "What does the overlapping middle part of a Venn diagram show?",
      "card": "The overlap",
      "choices": ["elements in both sets", "elements in no set", "only set A"],
      "answer": 0,
      "good": "Correct. The overlap shows elements that belong to both sets.",
      "help": "Think about what both circles share."
    },
    {
      "question": "A is children who play football. B is children who sing in choir. Where does Musa go if he does both?",
      "card": "A = football     B = choir",
      "choices": ["A only", "B only", "the overlapping middle"],
      "answer": 2,
      "good": "Yes. Musa belongs in the overlap because he is in both sets.",
      "help": "He plays football and sings in choir."
    },
    {
      "question": "Which symbol means intersection?",
      "card": "A ___ B",
      "choices": ["∩", "∪", "="],
      "answer": 0,
      "good": "Correct. A ∩ B means the elements in both A and B.",
      "help": "Intersection means the shared middle part."
    },
    {
      "question": "Which symbol means union?",
      "card": "A ___ B",
      "choices": ["∩", "∪", "∅"],
      "answer": 1,
      "good": "Correct. A ∪ B means everything in A, B or both.",
      "help": "Union gathers both sets together."
    },
    {
      "question": "Set A has {2, 4, 6}. Set B has {4, 6, 8}. What is A ∩ B?",
      "card": "A = {2, 4, 6}     B = {4, 6, 8}",
      "choices": ["{2, 8}", "{4, 6}", "{2, 4, 6, 8}"],
      "answer": 1,
      "good": "Correct. 4 and 6 belong to both sets.",
      "help": "Look for numbers that appear in each set."
    },
    {
      "question": "Using the same sets, what is A ∪ B?",
      "card": "A = {2, 4, 6}     B = {4, 6, 8}",
      "choices": ["{4, 6}", "{2, 4, 6, 8}", "{2, 8}"],
      "answer": 1,
      "good": "Yes. The union lists every different element once.",
      "help": "Put together everything in A and B. Do not repeat shared members."
    },
    {
      "question": "How many elements are in the intersection?",
      "card": "A = {apple, mango, banana}     B = {mango, banana, orange}",
      "choices": ["1", "2", "3"],
      "answer": 1,
      "good": "Correct. Mango and banana are shared, so there are 2 elements.",
      "help": "Find the fruits that appear in both sets."
    },
    {
      "question": "A Venn diagram has 3 children in A only, 2 in the overlap and 4 in B only. How many children are in A ∪ B?",
      "card": "A only: 3     Both: 2     B only: 4",
      "choices": ["5", "7", "9"],
      "answer": 2,
      "good": "Correct. 3 + 2 + 4 = 9 children are in the union.",
      "help": "The union includes every region inside the two circles."
    },
    {
      "question": "Using the same Venn diagram, how many children are in A ∩ B?",
      "card": "A only: 3     Both: 2     B only: 4",
      "choices": ["2", "3", "4"],
      "answer": 0,
      "good": "Correct. The overlap has 2 children.",
      "help": "Intersection means the shared middle region only."
    },
    {
      "question": "Where should a child go if they like drawing but do not like singing?",
      "card": "A = drawing     B = singing",
      "choices": ["A only", "the overlap", "B only"],
      "answer": 0,
      "good": "Correct. The child belongs in A only.",
      "help": "They are in drawing, but not in singing."
    },
    {
      "question": "Which region shows children who are not in set A or set B?",
      "card": "Outside both circles",
      "choices": ["the overlap", "outside the circles", "A only"],
      "answer": 1,
      "good": "Yes. Outside both circles means the child belongs to neither set.",
      "help": "Neither means not in either circle."
    },
    {
      "question": "Independent check: A = {1, 2, 3, 4} and B = {3, 4, 5}. What is A ∩ B?",
      "card": "Find the shared numbers.",
      "choices": ["{1, 2}", "{3, 4}", "{5}"],
      "answer": 1,
      "good": "Correct. 3 and 4 are in both sets.",
      "help": "Look for numbers repeated in A and B."
    },
    {
      "question": "Independent check: A has 5 children in A only, 3 in both sets and 2 in B only. How many are in the union?",
      "card": "A only: 5     Both: 3     B only: 2",
      "choices": ["8", "10", "13"],
      "answer": 1,
      "good": "Correct. 5 + 3 + 2 = 10.",
      "help": "Add every region inside the two circles."
    },
    {
      "question": "Independent check: What is the union of C = {pen, ruler} and D = {ruler, book}?",
      "card": "C = {pen, ruler}     D = {ruler, book}",
      "choices": ["{ruler}", "{pen, ruler, book}", "{pen, book}"],
      "answer": 1,
      "good": "Excellent. The union includes all different objects from both sets.",
      "help": "Do not repeat ruler because it is already included once."
    },
    {
      "question": "Independent check: In a Venn diagram, where does A minus B belong?",
      "card": "A − B",
      "choices": ["A only", "the overlap", "B only"],
      "answer": 0,
      "good": "Brilliant. A minus B means members in A only, not in B.",
      "help": "Start with A, then remove anything that is also in B."
    }
  ]
}