Even, Odd, Prime and Natural Numbers - Math for Children - Free Printable

To solve the crossword puzzle, we need to determine the answers to each clue based on the given sets:

Given Sets:

- Even numbers \( A = \{2, 4, 6, 8, 10\} \)
- Odd numbers \( B = \{3, 5, 7, 9\} \)
- Natural numbers \( N = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)
- Prime numbers \( C = \{2, 3, 5, 7\} \)

Clues and Solutions:

#### Across:
1. What is \( A \cup C \)?
- \( A \cup C \) represents the union of sets \( A \) and \( C \), which includes all elements that are in either \( A \) or \( C \) or both.
- \( A = \{2, 4, 6, 8, 10\} \)
- \( C = \{2, 3, 5, 7\} \)
- Union: \( A \cup C = \{2, 3, 4, 5, 6, 7, 8, 10\} \)
- Answer: \{2, 3, 4, 5, 6, 7, 8, 10\}

2. What is \( A \cap N \)?
- \( A \cap N \) represents the intersection of sets \( A \) and \( N \), which includes all elements that are in both \( A \) and \( N \).
- \( A = \{2, 4, 6, 8, 10\} \)
- \( N = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)
- Intersection: \( A \cap N = \{2, 4, 6, 8, 10\} \)
- Answer: \{2, 4, 6, 8, 10\}

3. What is \( A' \)?
- \( A' \) represents the complement of set \( A \) with respect to the universal set \( N \). The complement includes all elements in \( N \) that are not in \( A \).
- Universal set \( N = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)
- \( A = \{2, 4, 6, 8, 10\} \)
- Complement: \( A' = \{1, 3, 5, 7, 9\} \)
- Answer: \{1, 3, 5, 7, 9\}

4. What is \( B \cap N \)?
- \( B \cap N \) represents the intersection of sets \( B \) and \( N \), which includes all elements that are in both \( B \) and \( N \).
- \( B = \{3, 5, 7, 9\} \)
- \( N = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)
- Intersection: \( B \cap N = \{3, 5, 7, 9\} \)
- Answer: \{3, 5, 7, 9\}

#### Down:
1. What are the elements of the universal set?
- The universal set \( N \) is given as \( \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \).
- Answer: \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}

2. What is \( B' \)?
- \( B' \) represents the complement of set \( B \) with respect to the universal set \( N \). The complement includes all elements in \( N \) that are not in \( B \).
- Universal set \( N = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)
- \( B = \{3, 5, 7, 9\} \)
- Complement: \( B' = \{1, 2, 4, 6, 8, 10\} \)
- Answer: \{1, 2, 4, 6, 8, 10\}

3. What is \( B \cup C \)?
- \( B \cup C \) represents the union of sets \( B \) and \( C \), which includes all elements that are in either \( B \) or \( C \) or both.
- \( B = \{3, 5, 7, 9\} \)
- \( C = \{2, 3, 5, 7\} \)
- Union: \( B \cup C = \{2, 3, 5, 7, 9\} \)
- Answer: \{2, 3, 5, 7, 9\}

Final Answers:

- Across:
1. \{2, 3, 4, 5, 6, 7, 8, 10\}
2. \{2, 4, 6, 8, 10\}
3. \{1, 3, 5, 7, 9\}
4. \{3, 5, 7, 9\}

- Down:
1. \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}
2. \{1, 2, 4, 6, 8, 10\}
3. \{2, 3, 5, 7, 9\}

Final Answer Box:

\[
\boxed{\{2, 3, 4, 5, 6, 7, 8, 10\}, \{2, 4, 6, 8, 10\}, \{1, 3, 5, 7, 9\}, \{3, 5, 7, 9\}, \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}, \{1, 2, 4, 6, 8, 10\}, \{2, 3, 5, 7, 9\}}
\]