1. The boy cleaned his room as his mother asked.

2. The boy cleaned his room as his mother asked for.

3. The boy cleaned his room as his mother said.

4. The boy cleaned his room as his mother wanted.

5. The boy cleaned his room as his mother told.

6. The boy cleaned his room as he was told by his mother.

(Are they all grammatical? Are they all the same in meaning?)

1, 3, 4, and 6 are OK. The others are not used.

1. The boy cleaned his room as his mother asked. (This sentence is grammatically correct and conveys the meaning that the boy cleaned his room in response to his mother's request.)

2. The boy cleaned his room as his mother asked for. (This sentence is grammatically incorrect because "asked for" needs an object after it, such as "asked for help" or "asked for assistance.")

3. The boy cleaned his room as his mother said. (This sentence is grammatically correct, but the meaning is slightly different. It implies that the mother made a statement, possibly instructing the boy to clean his room, and the boy followed her words.)

4. The boy cleaned his room as his mother wanted. (This sentence is grammatically correct and suggests that the boy cleaned his room according to his mother's desires or preferences.)

5. The boy cleaned his room as his mother told. (This sentence is grammatically incorrect because the verb "told" needs an object, such as "told him" or "told her.")

6. The boy cleaned his room as he was told by his mother. (This sentence is grammatically correct and has a similar meaning to sentence 1. It implies that the mother explicitly gave the boy instructions, and he followed them.)

In summary, sentences 1, 3, 4, and 6 are all grammatically correct and convey a similar meaning that the boy cleaned his room in response to his mother's instructions or desires. Sentences 2 and 5 are not grammatically correct because they have issues with phrasing and missing objects.