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After reading the following sentence ‘Weighing ten kilograms, the boy found his backpack hard to carry’, my English teacher asked me if the boy was a primary school child. I said he’s a secondary student. She then told me that the sentence did not make sense. I am at a loss. Can you tell me what has gone wrong with this sentence? What should I do to correct the error(s)?

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pengoworld69Weighing ten kilograms, the boy found his backpack hard to carry

The underlined part modifies 'the boy' not the backpack, which you originally intended.

Here is an improvement:

Weighing ten kilograms, the backpack was hard for the boy to carry.

Comments  

That is called a dangling participle, or "dangler". A search will tell you all about it. Just remember that an introductory phrase applies to the subject of the sentence.