• aero_dude
In summary, a Soviet Union mathematics Olympiad question from 2-3 decades ago asks how to find a box of defective bullets when given 10 boxes with 10 bullets each, one of which contains bullets weighing 9.9 grams. The solution involves using a scale only once to measure a bullet collection of 55 bullets, with the discrepancy in weight indicating the box with the defective bullets. This is more of a logic problem than a mathematical one.
aero_dude
Hello!

The following question was asked in a Soviet Union mathematics Olympiad about 2-3 decades ago. A friend brought it up a few days ago and it has been bugging us since then.

The problem goes along the lines of:

"There are 10 ammo boxes each containing 10 bullets, and each bullet weighs 10 grams.
However, one of the boxes contains defective bullets which weigh 9.9 grams each. Being allowed to use a scale only ONCE, find the ammo box containing the defective bullets"

- The scale is not a balance scale
- One use of scale refers to one reading

This is more of a logic problem then mathematical, but as I said it was in the math competition.

You should get bullet collection where the sequence of bullets is important, for example from the 1st box pick one bullet, from 2nd box pick two bullets, from 3rd box pick 3 bullets... from 10th box pick 10 bullets. So totally you get 10*11/2=55 bullets collection, that means it should be 55*10gr = 550gr in total. You put all of this bullets collection(55 in scale to measure and if you get 549.7 gr that means 0.3 gr is missing and 3rd box where discrepancy occurs, and if it's 549.6 that means 0.4gr missing and 4th box and so on ..

## 1. What is the Russian mathematics olympiad?

The Russian mathematics olympiad is a prestigious mathematics competition held in Russia for students in grades 9-11. It is known for its challenging and creative questions that test students' problem-solving skills and mathematical knowledge.

## 2. How difficult are the questions in the Russian mathematics olympiad?

The questions in the Russian mathematics olympiad are considered to be very difficult, even for the most talented and gifted students. They often require advanced mathematical concepts and creative thinking to solve.

## 3. How is the Russian mathematics olympiad different from other math competitions?

The Russian mathematics olympiad focuses on problem-solving and creativity rather than memorization of formulas and algorithms. It also has a strong emphasis on proof-based questions, where students are required to provide a logical and rigorous solution to a given problem.

## 4. Can anyone participate in the Russian mathematics olympiad?

No, the Russian mathematics olympiad is only open to students who are citizens of Russia or have permanent residency status. However, some international students may be able to participate if they meet certain requirements and are invited by the Russian Ministry of Education.

## 5. How can I prepare for the Russian mathematics olympiad?

To prepare for the Russian mathematics olympiad, it is important to have a strong foundation in mathematics, particularly in algebra, geometry, and number theory. It is also helpful to practice solving challenging and creative problems, and to familiarize yourself with the format and types of questions asked in previous competitions.

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