Mathematics Stack Exchange
Mathematics Stack Exchange

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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Symmetric Graphing

What is the graph of $x^2+y^2=|x|+|y|$. I tried solving this but I have don't understand how we know that the graph is symmetric to the axes. I read the solutions to this Area enclosed by the curve $x^2+y^2=|x|+|y|$. btw
user501887
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Surface Area Problem Math Contest

What is the number of square units in the least possible surface area of a model made with 15 unit cubes? I have absolutely no idea how to solve this problem.
Tofuine
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Mathcounts Cutting A Larger Cube into Smaller Cubes

What is the smallest number of cuts required to create 64 unit cubes from a 4 by 4 by 4 unit block of wood? I thought that maybe we could make 3 cuts in the x, y, and z direction, but that would be the wrong answer of 9. The correct answer is 6.…
Kentwood Brian
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what is the sum of the numbers form -100 to 98

Hello I need help with a contest question that I am not very sure about thanks. What is the sum of the numbers from negative one hundred and ninety eight?
Unknown
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Given $aabb$ is a square number, and $a := b$, find $a$ and $b$.

I want to solve the above question systematically, i.e, assuming that I do not know all the $4$-digit square numbers.
Vivek Sivaramakrishnan
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Should I solve for $a$ in this equation?

If $\dfrac{a^2 -1}a = 5$ then find the value of $\dfrac{a^6 - 1}{a^3}$.
Anandesh Sharma
  • 103
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Proof that a certain number is disivible by 6

Let be number $2^n+n^2$ prime and $n\geq 2$. Proof that number $(n-3)$ is disivible by 6.
user123451241
  • 633
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Number of Stories and Odd-Even Page Number Problem

We are trying to solve a math contest problem involving page numbers and a book, which goes: A book contains 30 stories, each starting on a new page. The lengths of the stories are 1, 2, 3, ..., 30 pages in some order. The first story starts on the…
RC Wong
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Finding the Defective Balls Using Weighing Scale

Here's the problem that we're trying to solve: There are 2016 piles of steel balls with the same appearance. In each pile, there are 2016 balls. It is known that among them, 2015 piles of balls are quality products and 1 pile of balls are defective…
RC Wong
  • 57
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Heap Question from Putnam and Beyond

Question: There is a heap of 1001 stones on a table. You are allowed to perform the following operation: you choose one of the heaps containing more than one stone, throw away a stone from the heap, then divide it into two smaller (not necessarily…
Adeyemi Lawal
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2000 AIME II Problem: Trapped by a Trapezoid

One base of a trapezoid is $100$ units longer than the other base. The segment that joins the midpoints of the legs divides the trapezoid into two regions whose areas are in the ratio $2: 3$. Let $x$ be the length of the segment joining the legs of…
Dude156
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2018 AMC 12A Problem 21: Which of the given polynomials has the greatest real root?

Which of the following polynomials has the greatest real root? $\textbf{(A) } x^{19}+2018x^{11}+1 \qquad \textbf{(B) } x^{17}+2018x^{11}+1 \qquad \textbf{(C) } x^{19}+2018x^{13}+1 \qquad \textbf{(D) } x^{17}+2018x^{13}+1…
Dude156
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Is it possible to get a totally logical approach to this problem?

The problem says: "4 girls went to a party, each one accompanied by their brother. These girls are called $A$, $B$, $C$ and $D$. Their brothers are called, in some specific order, $J$, $K$, $L$ and $M$. From a plate with 38 candies, $A$ took 1, $B$…
Luis Martinez
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2007 AIME 1 #5: Fahrenheit screws us again....

The formula for converting a Fahrenheit temperature $F$ to the corresponding Celsius temperature $C$ is $C = \frac{5}{9}(F-32).$ An integer Fahrenheit temperature is converted to Celsius, rounded to the nearest integer, converted back to Fahrenheit,…
Dude156
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2014 ARML Individual Problem 6: Divisors

Compute the smallest positive integer n such that 214·n and 2014·n have the same number of divisors. The only thing that I was able to realize in this question was the fact that this value of n needs to a divisor of either 214 or 2014. I wasn't sure…
Dude156
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