#3 does not work. You could say "I jumped and caught it."
#6 The coach told us = past tense so before the game starts (present tense) is not a good sequence of tense. You might say "before the game started." Then it is past tense with past tense.
#7 through 10 are grammatical but #7 is very long and cumbersome.
To answer your question, yes they mean the same thing.
Sra
1. The next batter hit the ball straight up into the air. I jumped and made the catch.
2. The next batter hit the ball straight up into the air. I jumped and made a catch.
3. The next batter hit the ball straight up into the air. I jumped and caught.
4. The next batter hit the ball straight up into the air. I jumped and caught the ball.
(Can we use all the expressions as in the above sentences? Which ones are correct expressions?)
5. The coach told us before the game.
6. The coach told us before the game starts.
(Are both the same and correct?)
7. According to the order of the content of the reading text, write down each number for the picture.
8. Choose the statements which are appropriate for the content of the reading text.
9. Write down the names of the sports games in English.
10. Let's talk about the happiest day in/of your life.
(From 7 through 10, Are they all grammatical?)
11. In a baseball game, can we use 'batsman', 'hitter', and 'batter'? Do they have the same meaning? (It's a question.)
2 answers
#7 can be made better like this:
According to the order of content in the text, write down each number for the picture.
(Simply removing some extraneous words.)
According to the order of content in the text, write down each number for the picture.
(Simply removing some extraneous words.)