CAN YOU SPELL THESE?

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Across
  1. 7. The past simple of teach
  2. 9. A place you go to eat
  3. 10. A person who studies human history through excavation and artefacts
  4. 11. Green vegetable that looks like a mini tree.
  5. 12. Organ that digests food
  6. 13. A person that designs buildings
Down
  1. 1. Proof of payment
  2. 2. Valentine's Day month
  3. 3. An Olympic sport in which the athletes must perform acrobatics for a panel of judges
  4. 4. Worn to complement an outfit (earrings, necklace)
  5. 5. Found in every kitchen, these sharp objects are used to cut things.
  6. 6. These sugar molecules are found in most foods, especially cereal, which our body turns into energy.
  7. 8. This season starts in September