Assessment-quiz, level I

Do not use anything but your knowledge, pen and paper. This quiz has only one purpose: give you a suggestion on which course to do.

Just in case, there**might be several correct answers** to the question. You **need to select all of them to get the question right**!

Just in case, there

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There are three steaks that Jeeves wants to fry. It takes 5 minutes to fry one side of a steak. Jeeves has a pan that can fit at most two steaks at the same time. What is the least amount of time does he need to fry all 3 steaks from both sides? (neglect the time need to turn the steaks)

Not possible... At least 15 minutes is necessary

Not possible... At least 15 minutes is necessary

If you first fry only one side of steaks #1 and #2, then fry only one side of steaks #2 and #3 and then fry only one side of steaks #3 and #1 you will spend 15 minutes all together.

You can do better than 20 minutes

You can do better than 25 minutes

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Once Alice told me that "It was raining everyday last week!". But as it turned out, it was a lie. What statement should I make about the weather last week?

No that is not the right conclusion. What if it rained only once last week? Would it still mean that Alice lied?

Yeap, at least one rain-free day is the conclusion you should make

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Which of the following claims are true? Remember to select all that are correct!

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There are three jars. One of them contains tea, one of them contains coffee and one of them contains tea and coffee. One day little boy Tuberg decided to add labels to these jars: one of the labels is "tea", another one is "coffee" and the third one is "tea and coffee" (see the picture). It turned out that all the labels are wrong. Knowing this, in which jar there is tea?

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A group of friends once went on a 3-day trip. During the second day they walked 10 more kilometres than during the first day. And during the third day they walked 2 times more kilometres than during the first day. How many kilometres did they walk during the first day, if during the whole trip they walked 90 kilometres?

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The students from some school got this problem as a homework: "Do there exist 5 integer numbers such that the sum of any two of them is smaller than 10, but the sum of any three of them is bigger than 10?". Which of the following is a __full correct solution__ to this problem?

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Please look at "For beginners" courses first, namely the "Getting started" course. Here is the link.

The results suggest that before you move on to "Olympiad Mathematics Training" you need to work on a few things like "what a proof is", "counterexamples", "logical puzzles". This is what "For beginners" courses are about. They are not hard, but extremely important. In your case, we would suggest doing the "Getting started" course.

Please look at "For beginners" courses first, namely "Getting started" course. Here is the link.

The results suggest that before you move on to "Olympiad Mathematics Training" you need to work on a few things like "what a proof is", "counterexamples", "logical puzzles". This is what "For beginners" courses are about. They are not hard, but extremely important. In your case, we would suggest doing the "Getting started" course.

Please look at "For beginners" courses first. Here is the link.

The results suggest that before you move on to "Olympiad Mathematics Training" you need to work on a few things like "what a proof is", "counterexamples", "logical puzzles". This is what "For beginners" courses are about. They are not hard, but extremely important. There are just two courses, pick one you think is more suitable for you.

If you think that you made some silly mistakes in this quiz, then you can try the next quiz and see what it says (but note that it is harder).

If you think that you made some silly mistakes in this quiz, then you can try the next quiz and see what it says (but note that it is harder).

Please look at "For beginners" courses first, namely "Constructions, proofs a few nice ideas" course. Here is the link.

The results suggest that before you move on to "Olympiad Mathematics Training" you need to work a bit more on a few things like "formal proofs", "counterexamples", "formal logic". This is what "For beginners" courses are about. They are not hard, but extremely important. In your case, we would suggest doing the "Constructions, proofs a few nice ideas" course.

If you think that you made some silly mistakes in this quiz, then you can try the next quiz and see what it says (but note that it is harder).

If you think that you made some silly mistakes in this quiz, then you can try the next quiz and see what it says (but note that it is harder).

Let's move on to the harder quiz! Click here.

You got all of the questions but one right, congratulations! This means that we should move on to the harder quiz now...

Let's move on to the harder quiz! Click here.

You got all of the questions right, congratulations! This means that we should move on to the harder quiz now...