IELTS True/False/Not Given confusion

The heading “Wear a helmet” may be understood as no more than advice. It has no more legal force than something like “Cross the road carefully”. It is not a statement of statutory duty, which would be stronger and contain an imperative such as “must” or “is obligatory”, and would be followed by some reference to the relevant regulations, or to the mutually agreed conditions on which participation in the event had been granted.

The following paragraph supports this viewpoint. “We would like ...” says that we want but cannot insist on the wearing of helmets. As in “I would like you to accept this answer”. The remainder of the paragraph merely explains why wearing a helmet is desirable.

In conclusion, neither the heading nor the prose make a case for compulsory wearing.

It is true that the quoted text does not say that the helmets are compulsory, but it is also true that it does not say that they are not compulsory.

'We would like to see' is compatible with both possibilities: it may be a way or urging the riders to wear helmets even though it is not compulsory, but it may also be a way of urging them to follow the rules. It is possible that the riders don't like to follow the rules just because they are rules, but that they are likely to be responsive to an exhortation formulated in terms of 'we would like to see', and accompanied by reasons for wearing helmets that are independent of the rules. Nothing in the quoted text rules out that possibility, and the correct answer is therefore 'not given'.

The other possibility is, however, more likely, so 'false' being treated as the correct answer reveals that what is being tested by the test is the candidates' ability to guess what was likely to have been intended by the text, rather than their ability to carefully analyse it, in the manner in which one would analyse a legal text or a scientific treatise.