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Start with exactly what you know

Suppose every amber token is round. Amber is a yellow-orange colour. You find an amber token. It must be round, because the rule covers every amber token.

Now suppose you find a round token. Must it be amber? No. The rule did not say that only amber tokens are round. A round blue token would fit the original rule too.

Try it yourself

The rule is “all amber tokens are round”. Draw a round amber token and a round blue token. Both are allowed by that rule.

Now try the claim “all round tokens are amber”. Your blue token shows that this claim can be wrong, even when the original rule is true.

One example that shows a claim is wrong is called a counterexample. You only need one to show that something is not certain.

“Not certain” does not mean “impossible”. A round token could be amber; we just do not know from its shape alone.

Some does not mean all

“Some round tokens are striped” means at least one token is both round and striped. Other round tokens might be plain. We have not been told.

There is another small trap. The rule “all amber tokens are round” does not tell us whether there are any amber tokens in the bag. A bag containing only blue tokens would not break that rule.

In our drawing, we know an amber token exists because we drew one.

Before the challenge

Read the rule slowly. Ask what it tells you for certain, then draw a few objects to check. Be careful about swapping the words around: “all amber tokens are round” is not the same as “all round tokens are amber”.

You can now try the Reasoning Challenge. It gives a score for its own questions and explains each answer. It is a puzzle activity, not a clinical assessment or a measurement of IQ. Take your time; understanding the explanation matters more than rushing.

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