Questions tagged [contest-math]

For questions about mathematics competitions or the questions that typically appear in math competitions. Provide enough information about the source to confirm the question doesn't come from a live contest.

This tag is intended for

  1. Questions from mathematics competitions.
  2. Inquiries about alternative proofs for problems that are from math contests.
  3. Questions that have been inspired by a contest problem, including practice problems.
  4. Questions requesting advice on competing in contests.

See this list of mathematics competitions to get an idea of the types of questions this tag is for.

Mathematics StackExchange has a policy on questions from current competitions. Questions from ongoing competitions will be locked and temporarily deleted until the end of the contest. It is a good idea to include information about a contest, such as a link to the contest webpage.

9758 questions
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How do you prepare for AIME?

Is the best way to prepare for AIME with past problems or with books? If with books, could you recommend some?
mpnm
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International mathematics olympiad solutions

I want to prepare for math olympiad. IMO website provides the questions for past math olympiad. Where can I find the solutions of past IMO problems?
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Simple math issue from a math quiz.. .Answer is porvided below,i just need to know how they arrive at this answer.

Two points A and B are 1000 Km apart,We are tasked with transporting 3000 apples from point A to B in a truck.Truck's maximum load is 1000 apples.There's also a tax we pay each time we cover 1 Km heading towards B(1 apple).How many apples get…
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real analysis olympiad question

Define $f:$ $\mathbb{N} \times \mathbb{N} \to \mathbb{N}$ and consider $f(1,n) = 2n-1 $ & $f(m+1,n)$ = $2^m$$(2n-1)$ Prove that $f$ is a bijection.
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Find the number of members of a family

One morning, each member of Manjul’s family drank an 8-ounce mixture of coffee and milk. The amounts of coffee and milk varied from cup to cup, but were never zero. Manjul drank 1/7-th of the total amount of milk and 2/17-th of the total amount…
Soham
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Get rate in Excel without using “RATE” command

I want your help to calculate rate of interest in excel without using RATE command. (so that I can try to convert the formula in php) This is the code we use in Excel B5= 60 B4= 16070 B3= 750000 B6= 1 =RATE(B5,B4,-B3,0,B6)*12 It should give a result…
Shijil
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Need help with solution for problem A5 from IMO 2015

I'm going through solution for A5 from International Mathematical Olympiad 2015. Something's not right. Here's how it goes: First, we assume all functions below map integers to integers. Second, for any function $g$ and any nonzero integer $t$ we…
user75619
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Please help me to solve this problem

Let $x$ and $y$ are real numbers such that $\frac{1}{2}<\frac{x}{y}<2$. Find the minimum value $\begin{align*} \frac{x}{2y-x}+\frac{2y}{2x-y} \end{align*}$.
Yanmath
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How many zeros are obtained if we multiply all the natural numbers from 1 to 100?

Options are: 20 21 22 23 24 I recently came across the above question in a competitive exam, where we get about 30 seconds to 1 minute for solving each problem. I want to if there are quick and easy methods to compute the result.
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