Question

the children were hoping to see snow.
past progressive present progressive future progressive

Explanation:

The sentence "The children were hoping to see snow" uses the past progressive tense, which is formed by "was/were + present participle". Here, "were hoping" follows this structure, indicating an ongoing action in the past. The present progressive would use "am/is/are + present participle" (e.g., "The children are hoping..."), and future progressive would use "will be + present participle" (e.g., "The children will be hoping..."). So the correct tense category is past progressive.

Answer:

past progressive