Months and seasons in a year

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Across
  1. 1. The 4th month
  2. 3. This season falls on the months of
  3. 7. The 1st month
  4. 8. After 10
  5. 9. The month after 11
  6. 11. The month between 8 and 10
  7. 13. The hot season
  8. 14. The cold season
  9. 15. After 6
Down
  1. 1. Before 9
  2. 2. This month between 5 and 7
  3. 4. This month starts with the letter m
  4. 5. The month have 28 or 29
  5. 6. The last month of the year
  6. 10. The first seasons in a year
  7. 12. The month after 2