1. We learned math and science.

2. We learnt math and science.
(Which past do we use? Are both okay? Which one is commonly used?)

3. I went there every other week.
4. I went there every second week.
5. I went there every two weeks.
(Are the three sentences the same?)

Both 1 and 2 are correct.

"learned" is standard in American English.
"learnt" is more often used in British English.

Yes, 3, 4, and 5 all mean the same thing.

1. Both "learned" and "learnt" are past tense forms of the verb "learn." While both are technically correct, "learned" is more commonly used in American English, while "learnt" is more commonly used in British English. So, if you are writing or speaking in American English, it is preferable to use "learned." On the other hand, if you are using British English, "learnt" would be the preferred form.

2. Similarly, in the past tense, both "learnt" and "learned" can be used interchangeably. However, "learned" is more commonly used in American English, while "learnt" is more frequently used in British English. So, the choice between the two depends on the dialect you are using.

3. "I went there every other week" means that you went to a specific place once every two weeks, skipping one week in between. For example, if you went to a park every other week, it would mean that you visited the park once, skipped a week, then went again, and so on.

4. "I went there every second week" has a similar meaning to "every other week." It means that you went to a specific place once every two weeks, skipping one week in between.

5. "I went there every two weeks" means that you visited the place once every period of two weeks, without skipping any week. This implies a regular recurring pattern of visiting the place every two weeks.

While the overall meaning of these three sentences is similar (visiting a place at regular intervals), there is a slight difference in the frequency and pattern of the visits. Therefore, it is important to choose the sentence that conveys the intended meaning accurately, based on whether you want to skip a week or have a regular recurring pattern of visits every two weeks.